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Fresnel equations for light transmission and reflection coefficients

Input interpretation

Fresnel equations for light transmission and reflection coefficients
Fresnel equations for light transmission and reflection coefficients

Equation

R_s = ((n_1 cos(θ_1) - n_2 sqrt(1 - ((n_1 sin(θ_1))/n_2)^2))/(n_1 cos(θ_1) + n_2 sqrt(1 - ((n_1 sin(θ_1))/n_2)^2)))^2 | T_s = 1 - R_s |  R_s | reflection coefficient for s-polarized incident light n_1 | index of refraction (first medium) n_2 | index of refraction (second medium) θ_1 | angle of incidence T_s | transmission coefficient for s-polarized incident light (reflection and transmission coefficients for light incident on an interface between media of differing refractive index)
R_s = ((n_1 cos(θ_1) - n_2 sqrt(1 - ((n_1 sin(θ_1))/n_2)^2))/(n_1 cos(θ_1) + n_2 sqrt(1 - ((n_1 sin(θ_1))/n_2)^2)))^2 | T_s = 1 - R_s | R_s | reflection coefficient for s-polarized incident light n_1 | index of refraction (first medium) n_2 | index of refraction (second medium) θ_1 | angle of incidence T_s | transmission coefficient for s-polarized incident light (reflection and transmission coefficients for light incident on an interface between media of differing refractive index)

Input values

index of refraction (first medium) | 1 index of refraction (second medium) | 2 angle of incidence | 45° (degrees)
index of refraction (first medium) | 1 index of refraction (second medium) | 2 angle of incidence | 45° (degrees)

Results

reflection coefficient for s-polarized incident light | 0.2038 transmission coefficient for s-polarized incident light | 0.7962
reflection coefficient for s-polarized incident light | 0.2038 transmission coefficient for s-polarized incident light | 0.7962

Ray plot

Ray plot
Ray plot

Reflection coefficient vs. angle of incidence

Reflection coefficient vs. angle of incidence
Reflection coefficient vs. angle of incidence