NaNa Lab EngineeringE120 · Optics

ONE FORMULA, ONE ANSWER

Faraday Polarization Rotation Calculator

Calculate Faraday polarization rotation in a uniform longitudinal magnetic field. Choose input units and calculate one value within the stated conditions.

Inputs

Negative, zero or positive

Negative, zero or positive

Zero or greater

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Signed single-pass rotation angle θ

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Enter values and select Calculate.

FORMULA

θ = V B∥ L

Assumptions

Required: L≥0 and signed V and B∥. The SI units are rad/(T·m) for V and T for B∥. Use mutually consistent sign conventions for the measured Verdet constant and the field component along propagation. Assume a homogeneous linear medium with constant V at the specified wavelength, temperature and field range. The result is the accumulated single-pass rotation without folding into 180°. Excluded: round trips, cavities, absorption and magnetic saturation. No material-property database is included.

Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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