Fresnel reflectance calculator

Calculate s-polarized reflectance fraction and p-polarized reflectance fraction with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use s-polarized reflectance fraction and p-polarized reflectance fraction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Incident angle (degrees)
45
Incident refractive index
1
Transmitted refractive index
1.5
s-polarized reflectance fraction
0.092013
p-polarized reflectance fraction
0.008466
Unpolarized reflectance fraction
0.05024

Try another scenario

Incident angle (degrees)
49.50000000000001
Incident refractive index
1
Transmitted refractive index
1.5
s-polarized reflectance fraction
0.10976
p-polarized reflectance fraction
0.003733
Unpolarized reflectance fraction
0.056747
Calculation method

Calculation method

s-polarized reflectance fraction

Lossless dielectric Fresnel squared amplitude coefficients; TIR reflectance1.

p-polarized reflectance fraction

Lossless dielectric Fresnel squared amplitude coefficients; TIR reflectance1.

Unpolarized reflectance fraction

Lossless dielectric Fresnel squared amplitude coefficients; TIR reflectance1.

Symbols and units
a
Incident angle (degrees)
b
Incident refractive index
c
Transmitted refractive index

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Real nonabsorbing indices, single flat interface; no coating or phase computation. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Real nonabsorbing indices, single flat interface; no coating or phase computation.
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