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The crystal has two refractive indices, and which one a mode sees depends on the crystal cut and on the direction of the mode\u2019s field; this engine uses one index per layer, so any effective index it printed here would describe no real crystal. 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loss gap stated (Zelin 2026-10-18: publish the row with the loss gap stated against Meep res 200; L30 for the FDE-side investigation after the benchmark ships)", "reference_now": "Meep res 200 at pml 2 (2026-10-09-slot-bend-meep/slot_compare_r3.json); the 10-09 order-2 limits in slot_compare.json are INVALID (res 50 outside the asymptotic range; folder README) and are never cited", "re": "Meep Re is non-monotone in resolution at both radii (R2 1.830551 / 1.834569 / 1.832436, R4.67 1.745372 / 1.749459 / 1.748624 at res 50/100/200), so no Meep limit exists; FDE Fine sits -5.5e-4 (R2) and +2.3e-5 (R4.67) from res 200, inside Meep's own last step (2.1e-3, 8.3e-4)", "im": "FDE Fine is +4.4 % (R2) and +2.3 % (R4.67) above Meep res 200. 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"line": 1.4440236217032607 } ] }, "wide_soi_strip": { "modes": [ { "label": "TE0", "engine_label": "TE0", "n_eff": 2.6722293082659268, "guided": true, "mark": null, "reason": null, "b": 0.5050878490004862, "line": 1.4440236217032607 }, { "label": "TE1", "engine_label": "TE1", "n_eff": 2.1346415416341205, "guided": true, "mark": "near-cutoff", "reason": "order", "b": 0.2469179557804974, "line": 1.4440236217032607 }, { "label": "TM0", "engine_label": "TM0", "n_eff": 1.7605406387806937, "guided": true, "mark": null, "reason": null, "b": 0.1013350796225011, "line": 1.4440236217032607 } ] }, "slot": { "modes": [ { "label": "TE0", "engine_label": "TE0 (slot)", "n_eff": 1.9234916048638908, "guided": true, "mark": null, "reason": null, "b": 0.1613106140092432, "line": 1.4440236217032607 }, { "label": "TM0", "engine_label": "TM0 (slot)", "n_eff": 1.6094990233726831, "guided": true, "mark": null, "reason": null, "b": 0.05048104691897407, "line": 1.4440236217032607 }, { "label": "TE1", "engine_label": "TE0 (anti)", "n_eff": 1.5893974718473758, "guided": true, "mark": "near-cutoff", "reason": "order", "b": 0.04405678067069868, "line": 1.4440236217032607 } ] }, "thin_soi_1310": { "modes": [ { "label": "TE0", "engine_label": "TE0", "n_eff": 2.3060813775726317, "guided": true, "mark": null, "reason": null, "b": 0.31664546804405885, "line": 1.4468043175527276 } ] }, "soi_rib": { "modes": [ { "label": "TE0", "engine_label": "TE0", "n_eff": 2.57262361580169, "guided": true, "mark": null, "reason": null, "b": 0.3122345390253114, "line": 2.0328055490044603 }, { "label": "TE1", "engine_label": "TE1", "n_eff": 2.072573237985376, "guided": true, "mark": "near-cutoff", "reason": "order", "b": 0.0205043972664881, "line": 2.0328055490044603 }, { "label": "TM0", "engine_label": "TM0", "n_eff": 1.7041975332028487, "guided": true, "mark": "leaky", "reason": "slab", "b": 0.08183192041048715, "line": 1.4440236217032607 } ] }, "sin_strip_400": { "modes": [ { "label": "TE0", "engine_label": "TE0", "n_eff": 1.5705339007179797, "guided": true, "mark": null, "reason": null, "b": 0.20072992419979985, "line": 1.4440236217032607 }, { "label": "TM0", "engine_label": "TM0", "n_eff": 1.4565641925984096, "guided": true, "mark": null, "reason": null, "b": 0.019145471115838805, "line": 1.4440236217032607 } ] } }, "mpb": { "soi_strip_220": { "n_bg": { "r100": 1.444023621703261, "r100_cell15": 1.444023621703261, "r200": 1.444023621703261 }, "n_bg_rule": "max(n_sub, n_clad)", "rows": { "TE0": { "verdict": "bound", "n": { "r100": 2.3842610546868226, "r100_cell15": 2.384460405216131, "r200": 2.3858093125113946 }, "margin": { "r100": 0.9402374329835617, "r100_cell15": 0.9404367835128702, "r200": 0.9417856908081337 }, "d_res": 0.001548257824572019, "c_cell": 0.00019935052930852848, "bar": 0.003096515649144038, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM0": { "verdict": "bound", "n": { "r100": 1.5799984254204036, "r100_cell15": 1.5806045035257796, "r200": 1.581268293466106 }, "margin": { "r100": 0.13597480371714266, "r100_cell15": 0.1365808818225187, "r200": 0.13724467176284505 }, "d_res": 0.0012698680457023936, "c_cell": 0.0006060781053760511, "bar": 0.0025397360914047873, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "absent", "n": { "r100": 1.4057056954697789, "r100_cell15": 1.4253596030130855, "r200": 1.405710102110056 }, "margin": { "r100": -0.03831792623348207, "r100_cell15": -0.01866401869017542, "r200": -0.03831351959320495 }, "d_res": 4.406640277121454e-06, "c_cell": 0.019653907543306648, "bar": 0.039307815086613296, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM1": { "verdict": "absent", "n": { "r100": 1.3934413327078785, "r100_cell15": 1.4215827754746013, "r200": 1.3934613798323336 }, "margin": { "r100": -0.05058228899538242, "r100_cell15": -0.022440846228659606, "r200": -0.05056224187092728 }, "d_res": 2.00471244551359e-05, "c_cell": 0.028141442766722813, "bar": 0.056282885533445626, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" } }, "bound": [ "TE0", "TM0" ], "unresolved": [] }, "wide_soi_strip": { "n_bg": { "r100": 1.444023621703261, "r100_cell15": 1.444023621703261, "r200": 1.444023621703261 }, "n_bg_rule": "max(n_sub, n_clad)", "rows": { "TE0": { "verdict": "bound", "n": { "r100": 2.6628388479480405, "r100_cell15": 2.6628171003557877, "r200": 2.6639019518779192 }, "margin": { "r100": 1.2188152262447796, "r100_cell15": 1.2187934786525267, "r200": 1.2198783301746583 }, "d_res": 0.0010631039298787393, "c_cell": 2.1747592252818748e-05, "bar": 0.0021262078597574785, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "bound", "n": { "r100": 2.091166479623399, "r100_cell15": 2.091060857645392, "r200": 2.0928107064805133 }, "margin": { "r100": 0.6471428579201381, "r100_cell15": 0.6470372359421313, "r200": 0.6487870847772523 }, "d_res": 0.0016442268571141838, "c_cell": 0.00010562197800689788, "bar": 0.0032884537142283676, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM0": { "verdict": "bound", "n": { "r100": 1.7197586404583112, "r100_cell15": 1.7197551659827515, "r200": 1.721207992014739 }, "margin": { "r100": 0.27573501875505024, "r100_cell15": 0.27573154427949054, "r200": 0.277184370311478 }, "d_res": 0.0014493515564277804, "c_cell": 3.474475559706036e-06, "bar": 0.0028987031128555607, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE2": { "verdict": "absent", "n": { "r100": 1.406794640879627, "r100_cell15": 1.4255926167910677, "r200": 1.4068065959220033 }, "margin": { "r100": -0.037228980823633906, "r100_cell15": -0.018431004912193183, "r200": -0.03721702578125763 }, "d_res": 1.1955042376277092e-05, "c_cell": 0.018797975911440723, "bar": 0.037595951822881446, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM1": { "verdict": "absent", "n": { "r100": 1.394949466080989, "r100_cell15": 1.4219685311911425, "r200": 1.3949624918693757 }, "margin": { "r100": -0.04907415562227202, "r100_cell15": -0.022055090512118403, "r200": -0.04906112983388522 }, "d_res": 1.302578838680013e-05, "c_cell": 0.027019065110153617, "bar": 0.054038130220307234, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" } }, "bound": [ "TE0", "TE1", "TM0" ], "unresolved": [] }, "slot": { "n_bg": { "r100": 1.444023621703261, "r100_cell15": 1.444023621703261, "r200": 1.444023621703261 }, "n_bg_rule": "max(n_sub, n_clad)", "rows": { "TE0": { "verdict": "bound", "n": { "r100": 1.7363196551434368, "r100_cell15": 1.7372236314501905, "r200": 1.7386539343664975 }, "margin": { "r100": 0.29229603344017585, "r100_cell15": 0.2932000097469296, "r200": 0.2946303126632366 }, "d_res": 0.002334279223060731, "c_cell": 0.0009039763067537621, "bar": 0.004668558446121462, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM0": { "verdict": "bound", "n": { "r100": 1.5450514217330023, "r100_cell15": 1.5455786478836036, "r200": 1.5462442930715088 }, "margin": { "r100": 0.10102780002974132, "r100_cell15": 0.10155502618034262, "r200": 0.10222067136824786 }, "d_res": 0.0011928713385065404, "c_cell": 0.000527226150601301, "bar": 0.0023857426770130807, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "absent", "n": { "r100": 1.4140104295571503, "r100_cell15": 1.424923811600007, "r200": 1.4152179522830588 }, "margin": { "r100": -0.030013192146110645, "r100_cell15": -0.01909981010325401, "r200": -0.02880566942020213 }, "d_res": 0.0012075227259085164, "c_cell": 0.010913382042856634, "bar": 0.02182676408571327, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE2": { "verdict": "unmatched", "n": { "r100": 1.4039820492892094, "r100_cell15": null, "r200": 1.4039943208691616 } } }, "bound": [ "TE0", "TM0" ], "unresolved": [] }, "thin_soi_1310": { "n_bg": { "r100": 1.4468043175527276, "r100_cell15": 1.4468043175527276, "r200": 1.4468043175527276 }, "n_bg_rule": "max(n_sub, n_clad)", "rows": { "TE0": { "verdict": "bound", "n": { "r100": 2.2707674906245283, "r100_cell15": 2.2707674667831257, "r200": 2.268347319908975 }, "margin": { "r100": 0.8239631730718007, "r100_cell15": 0.823963149230398, "r200": 0.8215430023562476 }, "d_res": 0.002420170715553116, "c_cell": 2.3841402629898312e-08, "bar": 0.004840341431106232, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM0": { "verdict": "absent", "n": { "r100": 1.442160217120568, "r100_cell15": 1.433186356541371, "r200": 1.4417252745817029 }, "margin": { "r100": -0.00464410043215957, "r100_cell15": -0.013617961011356705, "r200": -0.005079042971024794 }, "d_res": 0.00043494253886522394, "c_cell": 0.008973860579197135, "bar": 0.01794772115839427, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "absent", "n": { "r100": 1.4064166579950363, "r100_cell15": 1.4285764029717303, "r200": 1.4185461566039916 }, "margin": { "r100": -0.0403876595576913, "r100_cell15": -0.018227914580997373, "r200": -0.02825816094873601 }, "d_res": 0.012129498608955291, "c_cell": 0.02215974497669393, "bar": 0.04431948995338786, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" } }, "bound": [ "TE0" ], "unresolved": [] }, "soi_rib": { "n_bg": { "r100": 2.0338363063178733, "r100_cell15": 2.0338363073635795, "r200": 2.0323004189315417 }, "n_bg_rule": "rib: slab line (slab-only run, same res and cell)", "rows": { "TE0": { "verdict": "bound", "n": { "r100": 2.5274361083256895, "r100_cell15": 2.5267535874306972, "r200": 2.528216495480282 }, "margin": { "r100": 0.4935998020078163, "r100_cell15": 0.49291728006711777, "r200": 0.4959160765487405 }, "d_res": 0.00078038715459261, "c_cell": 0.0006825208949923223, "bar": 0.00156077430918522, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "bound", "n": { "r100": 2.0414675792062478, "r100_cell15": 2.0415680368179183, "r200": 2.0424383592340347 }, "margin": { "r100": 0.007631272888374507, "r100_cell15": 0.007731729454338865, "r200": 0.010137940302493043 }, "d_res": 0.0009707800277869438, "c_cell": 0.00010045761167054579, "bar": 0.0019415600555738877, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE2": { "verdict": "absent", "n": { "r100": 2.024185493522157, "r100_cell15": 2.0278917130336875, "r200": 2.0256239678506343 }, "margin": { "r100": -0.009650812795716224, "r100_cell15": -0.005944594329891917, "r200": -0.0066764510809074196 }, "d_res": 0.0014384743284772128, "c_cell": 0.0037062195115304952, "bar": 0.0074124390230609905, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE3": { "verdict": "absent", "n": { "r100": 1.9822680642813828, "r100_cell15": 2.0119083404391547, "r200": 1.9836275403347707 }, "margin": { "r100": -0.051568242036490464, "r100_cell15": -0.02192796692442478, "r200": -0.04867287859677094 }, "d_res": 0.0013594760533879313, "c_cell": 0.029640276157771872, "bar": 0.059280552315543744, "mpb_tolerance": { "r100": 1e-09, "r100_cell15": 1e-09, "r200": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" } }, "bound": [ "TE0", "TE1" ], "unresolved": [] }, "sin_strip_400": { "n_bg": { "r50": 1.444023621703261, "r50_cell15": 1.444023621703261, "r100": 1.444023621703261 }, "n_bg_rule": "max(n_sub, n_clad)", "rows": { "TE0": { "verdict": "bound", "n": { "r50": 1.569229853886233, "r50_cell15": 1.5691816469198454, "r100": 1.5696717381633682 }, "margin": { "r50": 0.1252062321829721, "r50_cell15": 0.12515802521658448, "r100": 0.12564811646010732 }, "d_res": 0.00044188427713520717, "c_cell": 4.820696638763167e-05, "bar": 0.0008837685542704143, "mpb_tolerance": { "r50": 1e-09, "r50_cell15": 1e-09, "r100": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM0": { "verdict": "bound", "n": { "r50": 1.4671344729926252, "r50_cell15": 1.4670841786189204, "r100": 1.4674214935489434 }, "margin": { "r50": 0.023110851289364298, "r50_cell15": 0.023060556915659447, "r100": 0.023397871845682428 }, "d_res": 0.0002870205563181294, "c_cell": 5.0294373704851125e-05, "bar": 0.0005740411126362588, "mpb_tolerance": { "r50": 1e-09, "r50_cell15": 1e-09, "r100": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TE1": { "verdict": "absent", "n": { "r50": 1.4322260688308281, "r50_cell15": 1.4386478760867834, "r100": 1.432229089576085 }, "margin": { "r50": -0.011797552872432782, "r50_cell15": -0.0053757456164775785, "r100": -0.01179453212717596 }, "d_res": 3.0207452568209447e-06, "c_cell": 0.006421807255955203, "bar": 0.012843614511910406, "mpb_tolerance": { "r50": 1e-09, "r50_cell15": 1e-09, "r100": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" }, "TM1": { "verdict": "absent", "n": { "r50": 1.4299520902687148, "r50_cell15": 1.4379963172364476, "r100": 1.4299622677923858 }, "margin": { "r50": -0.014071531434546092, "r50_cell15": -0.006027304466813321, "r100": -0.014061353910875152 }, "d_res": 1.0177523670940047e-05, "c_cell": 0.00804422696773277, "bar": 0.01608845393546554, "mpb_tolerance": { "r50": 1e-09, "r50_cell15": 1e-09, "r100": 1e-09 }, "bar_floor_note": "bar compared with the eigensolver tolerance: the loosened 1e-9 (Amendment B) is below every bar >= 1e-5" } }, "bound": [ "TE0", "TM0" ], "unresolved": [] }, "_meta": { "silicon_pair": [ "r100", "r200" ], "rule": "bound iff m > 2 max(d, c) in all three runs; absent iff m < 0 in all three; else unresolved", "motivating_example": { "file": "smoke/rib_r25.json", "band": 3, "n_eff_note": "2.0265 above the slab line 2.0066 (smoke/slab90_r25.json): a supercell slab state lifted by the ridge; Amendment A's cell witness exists for it" } } } }, "set": "the six presets: SOI Strip 220, Wide SOI Strip, Slot, Thin SOI 1310, SOI Rib, SiN Strip 400", "mpb_source": { "source_artifact": "docs/tools/PIC-Mode-Solver/verification/2026-10-17-pic-benchmark-mpb/h1_lists.json", "source_sha256": "0f9c0fe77291f266cff643e8de274fd6b506a7cfd5e015d18ed7993fc2309215", "source_key": "" }, "n_presets": 6 }, "ms_h4": { "record_rows": { "Thin SOI 1310 | 20.0": { "wall_s": 1.5788090229034424, "dx_nm": 20.0, "unknowns": 39318, "window_um": [ 3.0, 2.62 ], "mesh_graded": false, "mesh_level": "typed", "mesh_class": 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"cell": "MS-A3/si220_ox_TE0/n_eff", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00015644598656550102, "ceiling": 0.0006, "within": true }, { "cell": "MS-A3/si220_ox_TM0/n_eff", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.007595842900466998, "ceiling": 0.009, "within": true }, { "cell": "MS-A3/si220_ox_TM0/n_eff", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.0018952206708644503, "ceiling": 0.003, "within": true }, { "cell": "MS-A3/si220_ox_TM0/n_eff", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00047356805381371103, "ceiling": 0.0006, "within": true }, { "cell": "MS-A4/E_par/R10/neff_centre.re", "level": "coarse", "class": "sin", "dx_nm": 34.8, "abs_delta": 0.0005367988421884906, "ceiling": 0.002, "within": true }, { "cell": "MS-A4/E_par/R10/neff_centre.re", "level": "standard", "class": "sin", "dx_nm": 17.4, "abs_delta": 0.00013051494459181967, "ceiling": 0.0003, "within": true }, { "cell": "MS-A4/E_par/R10/neff_centre.re", "level": "fine", "class": "sin", "dx_nm": 8.7, "abs_delta": 3.2638099573656376e-05, "ceiling": 8e-05, "within": true }, { "cell": "MS-A4/E_par/R3/neff_centre.re", "level": "coarse", "class": "sin", "dx_nm": 34.8, "abs_delta": 0.00041509907318437733, "ceiling": 0.002, "within": true }, { "cell": "MS-A4/E_par/R3/neff_centre.re", "level": "standard", "class": "sin", "dx_nm": 17.4, "abs_delta": 0.0001038836162918777, "ceiling": 0.0003, "within": true }, { "cell": "MS-A4/E_par/R3/neff_centre.re", "level": "fine", "class": "sin", "dx_nm": 8.7, "abs_delta": 2.5962169186932726e-05, "ceiling": 8e-05, "within": true }, { "cell": "MS-A4/E_par/R5/neff_centre.re", "level": "coarse", "class": "sin", "dx_nm": 34.8, "abs_delta": 0.00046653326119150407, "ceiling": 0.002, "within": true }, { "cell": "MS-A4/E_par/R5/neff_centre.re", "level": "standard", "class": "sin", "dx_nm": 17.4, "abs_delta": 0.00011919985959396584, "ceiling": 0.0003, "within": true }, { "cell": "MS-A4/E_par/R5/neff_centre.re", "level": "fine", "class": "sin", "dx_nm": 8.7, "abs_delta": 2.9814190965593568e-05, "ceiling": 8e-05, "within": true }, { "cell": "MS-A5/si220_air_buf0.3_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.0027010549935240213, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_air_buf0.3_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.000677588595744183, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_air_buf0.3_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00016954405795477356, "ceiling": 0.0006, "within": true }, { "cell": "MS-A5/si220_air_buf0.5_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.002710158868349133, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_air_buf0.5_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.0006798452996430449, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_air_buf0.5_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00017010681959028773, "ceiling": 0.0006, "within": true }, { "cell": "MS-A5/si220_air_buf0.7_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.002710379738502855, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_air_buf0.7_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.0006798997777264226, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_air_buf0.7_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00017012038918995387, "ceiling": 0.0006, "within": true }, { "cell": "MS-A5/si220_ox_buf0.3_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.0024846913710514507, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_ox_buf0.3_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.0006230938617028947, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_ox_buf0.3_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00015589492623035994, "ceiling": 0.0006, "within": true }, { "cell": "MS-A5/si220_ox_buf0.5_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.0024933879758330946, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_ox_buf0.5_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.0006252513759599232, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_ox_buf0.5_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.00015643300671763782, "ceiling": 0.0006, "within": true }, { "cell": "MS-A5/si220_ox_buf0.7_TE0/neff.re", "level": "coarse", "class": "si", "dx_nm": 20.0, "abs_delta": 0.0024935942426767, "ceiling": 0.009, "within": true }, { "cell": "MS-A5/si220_ox_buf0.7_TE0/neff.re", "level": "standard", "class": "si", "dx_nm": 10.0, "abs_delta": 0.000625302297276864, "ceiling": 0.003, "within": true }, { "cell": "MS-A5/si220_ox_buf0.7_TE0/neff.re", "level": "fine", "class": "si", "dx_nm": 5.0, "abs_delta": 0.0001564456922000801, "ceiling": 0.0006, "within": true }, { "cell": "MS-A6/TM/n_eff", "level": "coarse", "class": "ln", "dx_nm": 31.5, "abs_delta": 0.0013496912670241112, "ceiling": 0.002, "within": true }, { "cell": "MS-A6/TM/n_eff", "level": "standard", "class": "ln", "dx_nm": 15.7, "abs_delta": 0.0003669991329229294, "ceiling": 0.0004, "within": true }, { "cell": "MS-A6/TM/n_eff", "level": "fine", "class": "ln", "dx_nm": 7.9, "abs_delta": 9.17446582258119e-05, "ceiling": 0.0001, "within": true } ], "apart_no_class": [], "test": "|delta| <= the published mesh ceiling (mesh_classes.json eps) for the case's class and level", "closer_each_level": { "variant": "closer_every_case", "leaves": [ "MS-A1/TE/n_eff", "MS-A1/TM/n_eff", "MS-A3/si220_air_TE0/beta2_ps2_per_m", "MS-A3/si220_air_TE0/n_eff", "MS-A3/si220_air_TE0/n_g", "MS-A3/si220_air_TM0/beta2_ps2_per_m", "MS-A3/si220_air_TM0/n_eff", "MS-A3/si220_air_TM0/n_g", "MS-A3/si220_ox_TE0/beta2_ps2_per_m", "MS-A3/si220_ox_TE0/n_eff", "MS-A3/si220_ox_TE0/n_g", "MS-A3/si220_ox_TM0/beta2_ps2_per_m", "MS-A3/si220_ox_TM0/n_eff", "MS-A3/si220_ox_TM0/n_g", "MS-A4/E_par/R10/loss_dB_per_90", "MS-A4/E_par/R10/neff_centre.im", "MS-A4/E_par/R10/neff_centre.re", "MS-A4/E_par/R3/loss_dB_per_90", "MS-A4/E_par/R3/neff_centre.im", "MS-A4/E_par/R3/neff_centre.re", "MS-A4/E_par/R5/loss_dB_per_90", "MS-A4/E_par/R5/neff_centre.im", "MS-A4/E_par/R5/neff_centre.re", "MS-A5/si220_air_buf0.3_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.3_TE0/neff.im", "MS-A5/si220_air_buf0.3_TE0/neff.re", "MS-A5/si220_air_buf0.5_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.5_TE0/neff.im", "MS-A5/si220_air_buf0.5_TE0/neff.re", "MS-A5/si220_air_buf0.7_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.7_TE0/neff.im", "MS-A5/si220_air_buf0.7_TE0/neff.re", "MS-A5/si220_ox_buf0.3_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.3_TE0/neff.im", "MS-A5/si220_ox_buf0.3_TE0/neff.re", "MS-A5/si220_ox_buf0.5_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.5_TE0/neff.im", "MS-A5/si220_ox_buf0.5_TE0/neff.re", "MS-A5/si220_ox_buf0.7_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.7_TE0/neff.im", "MS-A5/si220_ox_buf0.7_TE0/neff.re", "MS-A6/TM/n_eff" ], "n": 42, "passing": 42, "failing": [], "test": "|delta| strictly decreases at every finer level" }, "mesh_classes_source": { "source_artifact": "src/api/data/mesh_classes.json", "source_sha256": "ba88e2538bb02acf62da9270d8f663640a3d7f6f0e8a5f78e7ee7307185846e0" } }, "s2_independent_software": { "variant": "agrees_few", "leaves": [ "MS-B1/TE0/n_eff", "MS-B1/TM0/n_eff", "MS-B1/TM0_box3x4/n_eff", "MS-B2/TE0/n_eff", "MS-B3/TE0/n_eff", "MS-B4/TE0/n_eff", "MS-B4/TM0/n_eff", "MS-B5/sin_air/beta2_ps2_per_m", "MS-B5/sin_air/n_eff_1550", "MS-B5/sin_air/n_g", "MS-B5/sin_ox/beta2_ps2_per_m", "MS-B5/sin_ox/n_eff_1550", "MS-B5/sin_ox/n_g", "MS-B5/soi_air/beta2_ps2_per_m", "MS-B5/soi_air/n_eff_1550", "MS-B5/soi_air/n_g", "MS-B5/soi_ox/beta2_ps2_per_m", "MS-B5/soi_ox/n_eff_1550", "MS-B5/soi_ox/n_g" ], "n": 19, "passing": 6, "outside_at_finest": [ { "cell": "MS-B1/TE0/n_eff", "level": "fine", "outside_pct": 0.0005557109134547298 }, { "cell": "MS-B1/TM0/n_eff", "level": "fine", "outside_pct": 0.05158214830381304 }, { "cell": "MS-B1/TM0_box3x4/n_eff", "level": "fine", "outside_pct": 0.0352967316481902 }, { "cell": "MS-B2/TE0/n_eff", "level": "standard", "outside_pct": 0.006345115603921427 }, { "cell": "MS-B3/TE0/n_eff", "level": "fine", "outside_pct": 0.051459453107896104 }, { "cell": "MS-B4/TE0/n_eff", "level": "standard", "outside_pct": 0.00041658651684720976 }, { "cell": "MS-B4/TM0/n_eff", "level": "standard", "outside_pct": 0.010931498928667707 }, { "cell": "MS-B5/sin_air/beta2_ps2_per_m", "level": "fine", "outside_pct": 1.6594399302374394 }, { "cell": "MS-B5/sin_air/n_g", "level": "fine", "outside_pct": 0.00788121765928307 }, { "cell": "MS-B5/sin_ox/beta2_ps2_per_m", "level": "fine", "outside_pct": 0.6494310179581226 }, { "cell": "MS-B5/sin_ox/n_g", "level": "fine", "outside_pct": 0.004836451952323316 }, { "cell": "MS-B5/soi_air/beta2_ps2_per_m", "level": "fine", "outside_pct": 0.07156062566373698 }, { "cell": "MS-B5/soi_air/n_eff_1550", "level": "fine", "outside_pct": 0.0012203958368751803 } ], "largest_gap": { "cell": "MS-B5/sin_air/beta2_ps2_per_m", "level": "fine", "outside_pct": 1.6594399302374394, "family": "pulse_spreading" }, "difference_pct": { "median": 0.004836451952323316, "largest": 1.6594399302374394, "largest_family": "pulse_spreading", "largest_cell": "MS-B5/sin_air/beta2_ps2_per_m", "rule": "per case 100 |distance| / |nearer reference edge| at the finest served level, 0 inside; median over all n cases (mean of the two middle values when n is even)" }, "difference_from_value_pct": { "median": 0.009345635007623435, "largest": 1.7085248367079109, "largest_signed": -1.7085248367079109, "largest_cell": "MS-B5/sin_air/beta2_ps2_per_m", "largest_level": "fine", "largest_family": "pulse_spreading", "rule": "per case 100 (x - m) / |m| at the finest served level, m = the reference value (range midpoint, or the exact value); median and max of the magnitude over all n cases (mean of the two middle values when n is even) (Zelin 2026-10-21, one convention)" }, "test": "the finest served level's verdict is inside the reference range" }, "s2b_closer_than_eim": { "variant": "closer_than_eim_every_case", "n": 23, "passing": 23, "failing": [], "ties": [], "test": "|distance| of the Full-vectorial engine at its finest level <= |distance| of the Effective index estimate (0 inside a range; the measured difference against an exact answer, D-R7-1)" }, "s3_independent_3d": { "variant": "inside_all_but_1", "leaves": [ "MS-B6/slot/TE/R2/im_neff", "MS-B6/slot/TE/R2/re_neff", "MS-B6/slot/TE/R4.66667/im_neff", "MS-B6/slot/TE/R4.66667/re_neff", "MS-B6/strip/TE/R1/im_neff", "MS-B6/strip/TE/R1/re_neff", "MS-B6/strip/TE/R10/re_neff", "MS-B6/strip/TE/R2.5/re_neff", "MS-B6/strip/TE/R5/re_neff" ], "n": 9, "passing": 8, "outside_at_finest": [ { "cell": "MS-B6/slot/TE/R2/im_neff", "level": "fine", "outside_pct": 1.2459285349633584 } ], "largest_gap": { "cell": "MS-B6/slot/TE/R2/im_neff", "level": "fine", "outside_pct": 1.2459285349633584, "family": "slot_bend_loss" }, "difference_pct": { "median": 0.0, "largest": 1.2459285349633584, "largest_family": "slot_bend_loss", "largest_cell": "MS-B6/slot/TE/R2/im_neff", "rule": "per case 100 |distance| / |nearer reference edge| at the finest served level, 0 inside; median over all n cases (mean of the two middle values when n is even)" }, "difference_from_value_pct": { "median": 0.021574232225717423, "largest": 1.67407942446279, "largest_signed": 1.67407942446279, "largest_cell": "MS-B6/slot/TE/R2/im_neff", "largest_level": "fine", "largest_family": "slot_bend_loss", "rule": "per case 100 (x - m) / |m| at the finest served level, m = the reference value (range midpoint, or the exact value); median and max of the magnitude over all n cases (mean of the two middle values when n is even) (Zelin 2026-10-21, one convention)" }, "test": "the finest served level's verdict is inside the reference range" }, "s3_mesh_by_mesh": { "variant": "smaller_every_case", "classes": { "sin": { "ceilings": [ 0.002, 0.0003, 8e-05 ], "smaller_each_level": true }, "ln": { "ceilings": [ 0.002, 0.0004, 0.0001 ], "smaller_each_level": true }, "si": { "ceilings": [ 0.003, 0.0007, 0.0002 ], "smaller_each_level": true }, "inp": { "ceilings": [ 9e-05, 3e-05, 6e-06 ], "smaller_each_level": true } }, "test": "the largest error left shrinks at each finer level, per material class" }, "s4_less_accurate": { "variant": "eim_outside_every_case_fv_bend_too", "leaves": [ "MS-A4/E_par/R10/loss_dB_per_90", "MS-A4/E_par/R3/loss_dB_per_90", "MS-A4/E_par/R5/loss_dB_per_90", "MS-B1/TE0/n_eff", "MS-B1/TM0/n_eff", "MS-B1/TM0_box3x4/n_eff", "MS-B2/TE0/n_eff", "MS-B3/TE0/n_eff", "MS-B5/sin_air/beta2_ps2_per_m", "MS-B5/sin_air/n_eff_1550", "MS-B5/sin_air/n_g", "MS-B5/sin_ox/beta2_ps2_per_m", "MS-B5/sin_ox/n_eff_1550", "MS-B5/sin_ox/n_g", "MS-B5/soi_air/beta2_ps2_per_m", "MS-B5/soi_air/n_eff_1550", "MS-B5/soi_air/n_g", "MS-B5/soi_ox/beta2_ps2_per_m", "MS-B5/soi_ox/n_eff_1550", "MS-B5/soi_ox/n_g", "MS-B6/slot/TE/R2/im_neff", "MS-B6/slot/TE/R4.66667/im_neff", "MS-B6/strip/TE/R1/im_neff" ], "n": 23, "outside": 23, "largest_families": [ "bend_loss", "pulse_spreading" ], "family_max_pct": { "bend_loss": 867.6142759584995, "effective_index": 10.582893862839539, "pulse_spreading": 310.16849017201, "pulse_speed": 3.925041088979402, "slot_bend_loss": 272.06555099760027 }, "test": "the Effective index misses the reference: verdict outside, or a nonzero difference from an exact answer (D-R7-2, 2026-10-21)", "fv_bend_outside": [ { "cell": "MS-B6/slot/TE/R2/im_neff", "level": "fine", "outside_pct": 1.2459285349633584 } ] } }, "manual": { "eim_neff_vs_ref_max": { "value": 0.18422824952584382, "at": "MS-B3/TE0/n_eff", "leaves": [ "MS-B1/TE0/n_eff", "MS-B1/TM0/n_eff", "MS-B1/TM0_box3x4/n_eff", "MS-B2/TE0/n_eff", "MS-B3/TE0/n_eff" ], "form": "max over max(|lo|, |hi|) of the eim delta" } }, "closed_form_precision": { "min_significant_digits": 24, "at": "MS-A5/si220_air_buf0.7_TE0/loss_dB_per_cm", "leaves": [ "MS-A1/TE/n_eff", "MS-A1/TM/n_eff", "MS-A3/si220_air_TE0/beta2_ps2_per_m", "MS-A3/si220_air_TE0/n_eff", "MS-A3/si220_air_TE0/n_g", "MS-A3/si220_air_TM0/beta2_ps2_per_m", "MS-A3/si220_air_TM0/n_eff", "MS-A3/si220_air_TM0/n_g", "MS-A3/si220_ox_TE0/beta2_ps2_per_m", "MS-A3/si220_ox_TE0/n_eff", "MS-A3/si220_ox_TE0/n_g", "MS-A3/si220_ox_TM0/beta2_ps2_per_m", "MS-A3/si220_ox_TM0/n_eff", "MS-A3/si220_ox_TM0/n_g", "MS-A4/E_par/R10/loss_dB_per_90", "MS-A4/E_par/R10/neff_centre.im", "MS-A4/E_par/R10/neff_centre.re", "MS-A4/E_par/R3/loss_dB_per_90", "MS-A4/E_par/R3/neff_centre.im", "MS-A4/E_par/R3/neff_centre.re", "MS-A4/E_par/R5/loss_dB_per_90", "MS-A4/E_par/R5/neff_centre.im", "MS-A4/E_par/R5/neff_centre.re", "MS-A5/si220_air_buf0.3_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.3_TE0/neff.im", "MS-A5/si220_air_buf0.3_TE0/neff.re", "MS-A5/si220_air_buf0.5_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.5_TE0/neff.im", "MS-A5/si220_air_buf0.5_TE0/neff.re", "MS-A5/si220_air_buf0.7_TE0/loss_dB_per_cm", "MS-A5/si220_air_buf0.7_TE0/neff.im", "MS-A5/si220_air_buf0.7_TE0/neff.re", "MS-A5/si220_ox_buf0.3_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.3_TE0/neff.im", "MS-A5/si220_ox_buf0.3_TE0/neff.re", "MS-A5/si220_ox_buf0.5_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.5_TE0/neff.im", "MS-A5/si220_ox_buf0.5_TE0/neff.re", "MS-A5/si220_ox_buf0.7_TE0/loss_dB_per_cm", "MS-A5/si220_ox_buf0.7_TE0/neff.im", "MS-A5/si220_ox_buf0.7_TE0/neff.re", "MS-A6/TM/n_eff" ] }, "rows_off_page": { "MS-A2": { "why": "Zelin 2026-10-21 10:51: the round fiber tests FDE's staircasing on a curved boundary, which no design in the tool can produce (walls are grid-aligned; bends use a transform), and it would not validate the Fiber Mode Solver either. Off the mode solver page; kept as a reference for the FDE compilation page or the fiber tool's benchmark later.", "artifact": "internal_ms_a2_fiber.json", "sha256": "82c4b578500f81bb81f6a42749216e00aca7c7762c549dda9e62a7a0ee38862a", "cells": [ "MS-A2/HE11/n_eff", "MS-A2/HE21/n_eff", "MS-A2/TE01/n_eff", "MS-A2/TM01/n_eff" ] } }, "mutants": [ { "id": "M-RASTER", "what": "Widen a 500 nm waveguide core to 520 nm when the cross-section is drawn on the grid.", "row_cell": "MS-B1/TE0/n_eff", "column": "fv", "level": "fine", "request_body_sent": { "geometry": { "type": "strip", "width_nm": 520, "height_nm": 220, "core": "Si", "substrate": "SiO2", "cladding": "Air" }, "wavelength_nm": 1550.0, "n_modes": 4, "outputs": [], "mesh": { "dx_nm": 5.0, "dy_nm": 5.0 } }, "change": { "path": "geometry.width_nm", "from": 500, "to": 520 }, "served_mode": { "label": "TE0", "n_eff": 2.4216908227312497, "n_eff_imag": -1.5719280235339536e-52, "polarization": "TE", "pol_te_fraction": 0.9819574587086032, "confinement": "guided", "confinement_resolved": true, "index_withheld": null, "leakage_class": "bound", "track_label": null }, "run": { "job_type": "fde_solve", "cap_s": 1200.0, "plan": { "estimate": true, "path": "single", "label": "single solve", "box": { "window_um": [ 3.15, 2.85 ], "box_wavelength_nm": 1550.0, "derived": true, "sized_by": { "polarization": "TM", "n_eff_coarse": 1.603817654424733, "n_eff_priced": 1.594817654424733 }, "nx": 276, "ny": 216, "cells": 59616, "unknowns": 118740, "grid_nx": 276, "grid_ny": 216, "grid_cells": 59616, "grid_unknowns": 118740, "graded": true, "window_shrunk": null, "clearance_decay_lengths": null, "rule_window_um": null, "rule_grid_unknowns": null, "limit_unknowns": null }, "solves": [ { "stage": "floor", "count": 1, "unknowns": 627676, "law": "single", "low_s": 134.4170669561524, "high_s": 187.79158586270452 }, { "stage": "box", "count": 1, "unknowns": 118740, "law": "graded_single", "low_s": 17.02635664171727, "high_s": 24.323366631024676 }, { "stage": "pass", "count": 1, "unknowns": 131722, "law": "graded_single", "low_s": 0.0, "high_s": 27.657643340869914, "low_count": 0 } ], "solve_count": 3, "projected_low_s": 151.4434235978697, "projected_high_s": 239.77259583459912, "projected_seconds": 239.77259583459912, "cap_seconds": 1200.0, "extrapolated": false, "production_factor": [ 2.8, 3.4 ], "time_band": [ 0.93, 1.07 ], "admission": { "rule": "low_end", "verdict": "admitted", "low_s": 151.4434235978697, "high_s": 239.77259583459912, "cap_s": 1200.0, "message": null }, "refusal": null, "backstop": null }, "band_s": [ 151.4434235978697, 239.77259583459912 ], "plan_verdict": "admitted", "plan_seconds": 1.5712802410125732, "door_return": { "rule": "low_end", "verdict": "admitted", "low_s": 151.4434235978697, "high_s": 239.77259583459912, "cap_s": 1200.0, "message": null }, "door_function": "api.fde_budget.enforce_fde_runtime_budget", "door": "admitted", "execute_start_clock": "17:08:35", "wall_s": 59.16044211387634, "progress_marks_rel_s": [ [ 6.794929504394531e-05, 0.0, "running" ], [ 59.073920011520386, 1.0, "running" ] ], "result": { "status": "completed", "modes": [ { "n_eff": 2.4216908227312497, "n_eff_imag": -1.5719280235339536e-52, "loss_db_per_cm": -5.534713355486625e-47, "polarization": "TE", "pol_te_fraction": 0.9819574587086032, "confinement": "guided", "confinement_resolved": true, "group_index": null, "long_tail": { "flagged": false, "na_eff": 1.944063327379989, "wall": "substrate", "n_wall": 1.444023621703261, "decay_um": 0.12689409769634497 }, "centroid_offset_nm": 9.770872232933344e-13, "rms_width_nm": 144.89770588929852, "track_label": null, "group_index_unavailable": "not_requested", "group_index_stencil_nm": null, "A_eff_um2": 0.1405123241469131, "confinement_factor_core": 0.695129943430134, "wall_clearances": [ { "wall": "substrate", "n_wall": 1.444023621703261, "clearance_um": 1.3099999999999998, "inv_gamma_um": 0.12689409769634497, "n_decay_lengths": 10.323569210719349, 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0.08232172849769337, "power_fraction_unavailable": null, "row_class": "guided" }, { "n_eff": 1.5973019904312808, "n_eff_imag": 1.1163037193414641e-18, "loss_db_per_cm": 3.9304732861295285e-13, "polarization": "TM", "pol_te_fraction": 0.08602154097132549, "confinement": "guided", "confinement_resolved": true, "group_index": null, "long_tail": { "flagged": false, "na_eff": 0.6827660130665038, "wall": "substrate", "n_wall": 1.444023621703261, "decay_um": 0.3613099613504185 }, "centroid_offset_nm": 2.9816933458254496e-14, "rms_width_nm": 210.35656755523223, "track_label": null, "group_index_unavailable": "not_requested", "group_index_stencil_nm": null, "A_eff_um2": 0.31912131932399956, "confinement_factor_core": 0.08701045214983354, "wall_clearances": [ { "wall": "substrate", "n_wall": 1.444023621703261, "clearance_um": 1.3099999999999998, "inv_gamma_um": 0.36130996135041843, "n_decay_lengths": 3.6256957740766222, "bound": true, "below_threshold": false }, { "wall": "cladding", "n_wall": 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null, "group_index_unavailable": "not_requested", "group_index_stencil_nm": null, "A_eff_um2": 3.1935462651541795, "confinement_factor_core": 0.0016425839122754648, "wall_clearances": [ { "wall": "substrate", "n_wall": 1.444023621703261, "clearance_um": 1.3099999999999998, "inv_gamma_um": null, "n_decay_lengths": null, "bound": false, "below_threshold": true }, { "wall": "cladding", "n_wall": 1.0, "clearance_um": 1.3099999999999998, "inv_gamma_um": 0.2714806644712863, "n_decay_lengths": 4.825389692305525, "bound": true, "below_threshold": false }, { "wall": "left", "n_wall": 1.444023621703261, "clearance_um": 1.31, "inv_gamma_um": null, "n_decay_lengths": null, "bound": false, "below_threshold": true }, { "wall": "right", "n_wall": 1.444023621703261, "clearance_um": 1.31, "inv_gamma_um": null, "n_decay_lengths": null, "bound": false, "below_threshold": true } ], "leakage_class": "leaky_candidate", "dneff_dn_core": null, "dneff_dn_rib_core": null, "dneff_dn_substrate": null, 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35.42974279373235, "hy_min_nm": 4.9039062680661605, "hy_max_nm": 35.42974279373235, "interfaces_on_lines": true, "pml_layers_x": 0, "pml_layers_y": 0, "pml_depth_x_nm": null, "pml_depth_y_nm": null, "clearance_min": { "substrate": { "n_decay_lengths": 3.6256957740766222, "mode_index": 1, "polarization": "TM", "n_eff": 1.5973019904312808, "below_threshold": false }, "cladding": { "n_decay_lengths": 6.614205300606243, "mode_index": 1, "polarization": "TM", "n_eff": 1.5973019904312808, "below_threshold": false }, "left": { "n_decay_lengths": 3.6256957740766227, "mode_index": 1, "polarization": "TM", "n_eff": 1.5973019904312808, "below_threshold": false }, "right": { "n_decay_lengths": 3.6256957740766227, "mode_index": 1, "polarization": "TM", "n_eff": 1.5973019904312808, "below_threshold": false } }, "clearance_threshold": 3.6, "two_mesh": null, "slope_note": null, "mesh_accuracy": { "generic_within": 0.0006, "slot_within": null, "slot_differs": false, "within": 0.0006, "figure": "n_eff within 6e-4.", "slot_sentence": null }, "mesh_level": "fine", "mesh_class": "si", "mesh_dx_rule_nm": 5.0, "mesh_si_equivalent_nm": 5.0, "mesh_eps": 0.0006, "mesh_eps_source": "measured", "mesh_lambda_ref_nm": 1550.0, "eps_has_loss": false }, "mode_fields": null, "sidewall": { "sidewall_deg": 90.0, "etch_height_nm": 220.0, "widening_per_wall_nm": 0.0, "top_width_nm": 520.0, "base_width_nm": 520.0, "mid_width_nm": 520.0, "wall_lines": 0, "top_gap_nm": null, "base_gap_nm": null, "mid_gap_nm": null }, "leaky_states": null, "leakage_note": "Not confined: this state sits below the index of the material beside it and would leak sideways. 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Its effective index here is a property of the solve box, not of the waveguide. 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if d_row == 0: caught iff d_mutant != 0; otherwise caught iff |d_mutant| >= 10 |d_row|", "wall_s": 314.193067073822, "provenance": { "results": { "source_artifact": "docs/tools/PIC-Mode-Solver/verification/2026-10-18-benchmark-page/results.json", "source_sha256": "f82eb9ca6e8453d44326fe10f765b19962b2b2cf4216f4df1093a78730782e74" }, "code_path": "emit_ms_page.run_closed_forms(levels=('fine',), rows=['MS-A5'])", "patched_name": "api.fde_service.LEAK_PML_DEPTH_NM", "patch_reason": "run_closed_forms reads it at call time (`from api.fde_service import LEAK_PML_DEPTH_NM` inside the function)", "value_before": 960.0, "value_during": 240.0, "value_after": 960.0, "a5_legs_run": "all six MS-A5 cases at fine (the leg code runs per row); this record reads one" } }, { "id": "M-STENCIL", "what": "Compute dispersion from a one-sided difference instead of the centered one.", "row_cell": "MS-A3/si220_air_TE0/beta2_ps2_per_m", "column": "fv", "level": "fine", "change": { "stencil": "one-sided second difference at 1550 nm", "from": "centered 1540/1550/1560 nm", "to": "1550/1560/1570 nm" }, "leg": { "dx_nm": 5.0, "lambda_nm": [ 1550.0, 1560.0, 1570.0 ], "n_at_lambdas": [ 2.830712317410287, 2.8257959101155907, 2.820889042450455 ], "d2n_per_nm2": 9.539629560517681e-08, "D_ps_per_nm_km": -493.2220749463419, "grid": { "nx": 400, "ny": 844, "pml_x": 0, "pml_y": 0, "hx_nm": [ 4.999999999999846, 5.000000000000376 ], "hy_nm": [ 4.999999999999105, 5.000000000000799 ], "window_um": [ 2.0, 4.220000000000001 ], "grid": "solver_core_uniform_grid: make_grid with a line on every interface, each interval filled with equal cells at the level's dx (tests/test_fde.py slab_box/strip pattern)" } }, "x_mutant": 0.6290792074414967, "x_row": 0.6205219320917591, "reference_range": [ 0.6205162732673566, 0.6205162732673566 ], "d_mutant": 0.008562934174140113, "d_row": 5.658824402510199e-06, "caught": true, "rule": "d = signed distance from x to the nearer edge of the reference range (0 inside); if d_row == 0: caught iff d_mutant != 0; otherwise caught iff |d_mutant| >= 10 |d_row|", "wall_s": 93.0004210472107, "provenance": { "results": { "source_artifact": "docs/tools/PIC-Mode-Solver/verification/2026-10-18-benchmark-page/results.json", "source_sha256": "f82eb9ca6e8453d44326fe10f765b19962b2b2cf4216f4df1093a78730782e74" }, "inputs": { "source_artifact": "docs/tools/PIC-Mode-Solver/verification/2026-10-08-pic-benchmark-closed-forms/results.json", "source_sha256": "74ec98aaddd7f364ab4fc7bc6e07c51af281c5fa8e7749e5c2d8a70ef1c4c7a8", "source_key": "values.MS-A3.si220_air_TE0.inputs" }, "code_path": "emit_ms_page.a3_neffs (the row's slab leg) at 1550/1560/1570 nm; (n(1570) - 2 n(1560) + n(1550)) / h^2, then stencil_dispersion's D -> beta2" } } ], "mutants_rule": { "catch_factor": 10.0, "source": "emit_mutants.CATCH_FACTOR" } }