Calculators for polarization states, birefringence, and polarization optics.
33 calculators
Analyze polarization state from Stokes vector components with Poincaré-sphere visualization.
Phase retardation from crystal birefringence, thickness, and wavelength.
Simulate quantitative birefringence imaging with polarizer/analyzer rotation and compensators. Visualize stress-induced birefringence patterns.
Compare Glan-Taylor, Wollaston, Rochon and Sénarmont prism polarizers: exact beam deviations and the Glan field of view from crystal dispersion data.
Design pile-of-plates polarizers at Brewster's angle: transmittance and degree of polarization of m glass plates, with the multiple reflections between surfaces.
Calculate CD parameters: ΔA, Δε, ellipticity, molar and mean-residue ellipticity and g-factor from the absorbances of left and right circularly polarized light.
Simulate conoscopic interference figures (isochromates and isogyres) for uniaxial and biaxial crystals between crossed polarizers.
Calculate DoP from Stokes parameters, decompose into polarized and unpolarized components.
Calculate depolarization effects via Mueller matrix model or spectral averaging.
Model absorbing dichroic polarizers from the complex index of each principal axis: principal transmittances, extinction ratio and crossed-pair leakage.
Calculate ordinary and extraordinary ray paths, walk-off angle, lateral separation, and retardation in uniaxial crystals.
Compute Fresnel reflection and transmission coefficients, their phases, and the Brewster and critical angles at an interface, including absorbing media and total internal reflection.
Design Glan-Taylor, Glan-Foucault and Glan-Thompson prism polarizers: the field of view from total internal reflection of the o and e rays, with crystal dispersion.
Chain Jones matrices for polarizers, waveplates, and rotators. Up to 5 elements.
Chain Jones matrices to transform input polarization states and visualize the output ellipse.
Model transmission through twisted nematic (TN), super-twisted nematic (STN), vertically aligned (VA), and electrically controlled birefringence (ECB) LC cells.
Extinction of a polarizing microscope: polarizer extinction ratio, the loss of extinction with NA at uncoated surfaces, and the smallest retardance you can see.
Chain optical elements using Mueller matrices and compute output Stokes vector.
Build optical systems using Mueller matrices and analyze polarization transformations.
Calculate optical rotation from specific rotation, concentration, and path length with wavelength/temperature corrections.
Model orthoscopic observation of birefringent samples with rotating stage. Calculate intensity vs rotation angle and interference colors.
Interactive visualization of polarization states on the Poincaré sphere.
Explore Stokes parameters, Poincaré sphere representation, and analyzer measurements for polarization state characterization.
Simulate polarization scrambling: how randomizing polarization state reduces residual polarization.
Analyze extinction ratio, Malus's law with imperfect polarizers, and cascaded extinction performance.
Compare Glan-Taylor, Glan-Thompson, Wollaston, Rochon, wire-grid, film, thin-film plate and PBS cube polarizers on catalogue extinction ratio, wavelength range, transmission, aperture and damage threshold, with output and leakage power.
Design a MacNeille polarizing beamsplitter cube: a quarter-wave high/low-index stack at Brewster's angle between glass prisms, with its extinction against wavelength and angle.
Model iodine-PVA sheet polarizers (H-sheet type): principal transmittances k₁ and k₂, extinction ratio and efficiency from the film's absorption, dichroic ratio and thickness.
Compare zero-order, multi-order, compound, achromatic and Fresnel-rhomb retarders: retardance against wavelength and tilt.
Polarization state transformation by a birefringent waveplate with variable retardance and fast-axis orientation.
Calculate waveplate order, retardation, and wavelength-dependent performance.
Calculate required crystal thickness for waveplates of any retardance order.
Model wire-grid polarizers as a grating of metal strips much finer than the wavelength: transmission for E across and along the strips, reflection, ohmic loss and extinction ratio.