Fresnel Reflectance of S-polarized Light Calculator

Calculate S-polarized Fresnel Reflectance

The refractive index of the medium from which light is incident.
The refractive index of the medium into which light transmits.
The angle at which light strikes the interface, measured from the normal (0-89.9 degrees).

Calculation Results

Fresnel Reflectance (Rs):

Reflection Coefficient (rs magnitude):

Note: Total Internal Reflection (TIR) occurred.

Easily calculate the Fresnel reflectance for S-polarized light at an interface between two optical media. This tool helps physicists and engineers determine the reflection coefficient based on the angle of incidence and the refractive indices of both materials. Understand light behavior at boundaries.

Formula:

The Fresnel reflectance (Rs) for S-polarized light is calculated using the following formulas:

1. Angle of Refraction (θt) from Snell's Law:

sin(θt) = (n1/n2)sin(θi)

2. Reflection Coefficient (rs):

rs = (n1cos(θi) - n2cos(θt)) / (n1cos(θi) + n2cos(θt))

3. Reflectance (Rs):

Rs = |rs|2

  • n1: Refractive index of the first medium (incident medium)
  • n2: Refractive index of the second medium (transmitting medium)
  • θi: Angle of incidence (in degrees)
  • θt: Angle of refraction (in degrees)

Note: If total internal reflection occurs (sin(θt) > 1), then Rs = 1.

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