Photizon Academy

Interactive tutorials on optics and photonics.

Working on a real part rather than a concept? See the Guides.

Refractive Index & the Sellmeier Equation

Why light slows down in glass, how dispersion works, and how the Sellmeier equation captures it. The foundation for every coating calculation.

Refractive indexSellmeier equationDispersionAbbe numberComplex index

How Anti-Reflection Coatings Work

Why every lens, solar panel, and pair of glasses has an invisible coating — and the physics that makes it work.

Fresnel equationsQuarter-waveMgF₂Broadband AR

Fresnel Equations & Brewster's Angle

Why glass reflects 4% of light, its angle dependence, and why polarized sunglasses work.

s-polarizationp-polarizationSnell's LawBrewster's Angle

Thin-Film Interference: From Soap Bubbles to Optical Coatings

How a layer thinner than a wavelength of light creates vivid colors, kills reflections, or acts as a mirror.

InterferencePhase shiftQuarter-waveSoap bubblesOPD

Jones Matrices and Polarization States: A Practical Guide

Describe polarization with Jones vectors, manipulate it with Jones matrices. Interactive E-field visualization, Malus's law demo, and Poincaré sphere.

Jones matrixPolarizationStokes parametersPoincaré sphereWave plates

Birefringence

Why some crystals split light in two, how wave plates work, and the one equation that ties it all together.

BirefringenceDouble refractionWave platesRetardanceCrystal optics

How High-Reflector Mirrors Work: Metal Coatings vs. Quarter-Wave Stacks

From 95% silver mirrors to 99.99% dielectric stacks — how quarter-wave interference creates nearly perfect reflectors.

Quarter-wave stackDielectric mirrorMetal mirrorStop bandBragg mirror

Fabry-Perot Interferometers & Optical Resonators

How two mirrors create a precision wavelength filter. Airy function, finesse, finesse budget, and resonator stability.

Fabry-PerotEtalonFinesseFSROptical resonatorCavity stability

Gaussian Beams and the ABCD Matrix

How laser beams propagate, focus, and expand — and how a single 2×2 matrix predicts the beam through any optical system.

Gaussian beamABCD matrixRayleigh rangeBeam expanderq-parameterBeam propagation

The Q-Factor of Optical Cavities

What Q means physically, how to compute it from mirror reflectance and cavity length, and how it connects to finesse and photon lifetime.

Q factorOptical cavityPhoton lifetimeCavity finesseCritical couplingCRDS

Waveguide Modes and Photonic Integration

How light gets trapped in a waveguide, which modes can exist, and why SOI, SiN, and LNOI platforms behave so differently. Interactive slab mode solver and platform comparison.

Waveguide modesEffective indexSilicon photonicsV-numberSOISiNLNOIEIM

Diffraction Gratings: From the Grating Equation to Echelle Spectrographs

Hold a CD under a lamp and tilt it. That rainbow is diffraction — the same physics that powers every spectrometer.

Grating equationAngular dispersionResolving powerBlazeEchelleSpectroscopy

Ring Resonators in Photonics

From single-ring notch filters to Kerr frequency combs — how a loop of waveguide does the work of a Fabry-Perot cavity.

Ring resonatorCritical couplingFSRQ-factorAdd-dropSilicon photonicsKerr comb

Optical Aberrations: The Five Seidel Terms on a Single Lens

Spherical aberration, coma, astigmatism, field curvature and distortion, traced live on one biconvex lens, plus the two color terms and what reshaping the glass can and cannot fix.

Spherical aberrationComaAstigmatismField curvatureDistortionSeidel aberrationsLens bendingAperture stop

Chromatic Aberration and the Achromatic Doublet

Why blue and red focus at different distances, what the Abbe number measures, and how a crown against a flint cancels color, computed live on a real doublet.

Chromatic aberrationAchromatic doubletAbbe numberCrown and flintGlass mapAxial colorLateral colorSecondary spectrum

Correcting Aberrations: The Cooke Triplet, Stop Shift and the Petzval Sum

It takes three pieces of glass to cancel the five: the 1896 Cooke triplet read one surface at a time, what moving the aperture stop buys, and the blur that survives it.

Seidel sumsCooke tripletPetzval sumStop shiftAberration correctionHigher-order aberrationsRay fansSpot diagram