Fresnel reflection calculator

Results:

Angle of incidence: N/A°

Refraction Angle: N/A°

Power transmissivity - s pol.: N/A %

Power reflectivity - s pol.: N/A %

Power transmissivity - p pol.: N/A %

Power reflectivity - p pol.: N/A %

Power transmissivity - unpolarized: N/A %

Power reflectivity - unpolarized: N/A %

How it works?

<h2>How Fresnel Reflection Calculator Works <h2>

The Fresnel reflection calculator calculates the reflectivity and transmissivity of light as it passes through the interface between two media, using Fresnel's equations. The key factors influencing these results are:

Refractive Indices: The refractive indices of the two media involved, $ n_1 $ and $ n_2 $, determine how much the light bends as it enters the second medium.
Angle of Incidence: The angle at which the light strikes the interface between the two media. The calculator assumes that the angle is measured relative to the normal (perpendicular) to the surface.
Polarization: Light can have two types of polarization: s-polarized (perpendicular to the plane of incidence) and p-polarized (parallel to the plane of incidence). The calculator provides separate reflectivity and transmissivity values for both types of polarization, as well as an average for unpolarized light.

Fresnel's equations for reflectivity and transmissivity are given as:

For s-polarized light:

$$ R_s = \left( \frac{n_1 \cos \theta_i - n_2 \cos \theta_t}{n_1 \cos \theta_i + n_2 \cos \theta_t} \right)^2 $$

$$ T_s = 1 - R_s $$

For p-polarized light:

$$ R_p = \left( \frac{n_1 \cos \theta_t - n_2 \cos \theta_i}{n_1 \cos \theta_t + n_2 \cos \theta_i} \right)^2 $$

$$ T_p = 1 - R_p $$

Where:

R_s and R_p are the reflectivity for s- and p-polarized light, respectively.
T_s and T_p are the transmissivity for s- and p-polarized light, respectively.
$\theta_i$ is the angle of incidence, and $\theta_t$ is the angle of refraction (calculated using Snell's law).

The calculator also computes the reflectivity and transmissivity for unpolarized light, which is the average of the s- and p-polarized values:

$$ R_{unpolarized} = \frac{R_s + R_p}{2} $$

$$ T_{unpolarized} = \frac{T_s + T_p}{2} $$

By entering the refractive indices of the two media and the angle of incidence, the calculator computes the reflection and transmission properties for each polarization type and provides the final results in percentage.