Laser Polarization Calculator
Jones Matrix, Stokes Parameters & Wave Plate Analysis
4 Analysis Types
10+ Optical Elements
Jones Vector Input
+ i
+ i
Polarization Analysis
Input State
Polarization Type -
Ellipticity - °
Orientation - °
Output State
Output Polarization -
Transmission - %
Phase Change - °
Jones Vectors
[1.0 + 0.0i]
[0.0 + 0.0i]
[0.0 + 0.0i]
[1.0 + 0.0i]
[0.0 + 0.0i]
[0.0 + 0.0i]
Stokes Parameters Analysis
Intensity-based polarization analysis will be displayed here.
Wave Plate Analysis
Retardance and wave plate calculations will be displayed here.
Polarizer Analysis
Polarizer transmission calculations will be displayed here.
Polarization State Visualization
Interactive representation of polarization ellipse and Poincaré sphere
Semi-major axis: -
Semi-minor axis: -
Rotation angle: -
Ellipticity angle: -
Poincaré Sphere
3D representation of polarization state will be displayed here.
Intensity Pattern
Polarization-dependent intensity pattern will be displayed here.
Optical Elements Database
Common polarization optics and their properties
Linear Polarizers
Wire Grid Polarizer Extinction: >1000:1
Glan-Taylor Prism Extinction: >100,000:1
Polaroid Film Extinction: >1000:1
Wave Plates
Quarter Wave (λ/4) Retardance: 90°
Half Wave (λ/2) Retardance: 180°
Full Wave (λ) Retardance: 360°
Variable Elements
Liquid Crystal Variable Retarder 0-360° tunable
Photoelastic Modulator Dynamic retardance
Rotating Wave Plate Mechanical rotation
Specialized Optics
Circular Polarizer Linear + λ/4 plate
Faraday Rotator Non-reciprocal rotation
Beam Displacer Polarization separation
Polarization Theory
Jones Calculus
Mathematical framework using complex 2×2 matrices to describe polarization transformations.
Linear H: [1, 0]ᵀ
Linear V: [0, 1]ᵀ
Circular R: [1, -i]ᵀ/√2
Circular L: [1, i]ᵀ/√2
Stokes Parameters
Intensity-based description of polarization state using four real parameters.
S₀ = |Ex|² + |Ey|²
S₁ = |Ex|² - |Ey|²
S₂ = 2Re(Ex*Ey)
S₃ = 2Im(Ex*Ey)
Polarization Ellipse
Geometric representation of the electric field vector tip trajectory.
- Linear: Ellipticity = 0°
- Circular: Ellipticity = ±45°
- Elliptical: 0° < |ellipticity| < 45°
Applications
Optical Communications
- Polarization-division multiplexing
- Fiber optic transmission
- Coherent detection systems
- Polarization controllers
Laser Processing
- Material processing optimization
- Cutting and welding control
- Surface texturing
- Ablation threshold control
Scientific Instrumentation
- Polarimetry measurements
- Stress analysis
- Birefringence characterization
- Ellipsometry
Display Technology
- LCD displays
- 3D cinema systems
- Head-up displays
- Virtual reality optics
Polarization Measurement
Polarimeter Setup
- Rotating analyzer method
- Four-detector polarimeter
- Division-of-focal-plane polarimeter
- Stokes polarimeter design
Calibration Procedures
- Linear polarizer calibration
- Quarter wave plate alignment
- System matrix determination
- Error analysis and correction
Common Errors
- Polarizer misalignment
- Wave plate thickness errors
- Detector non-uniformity
- Beam alignment issues