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Fresnel Reflection, Transmittance & Brewster Angle Calculator

Easily calculate and compute fresnel reflection, transmittance & brewster angle calculator with accurate equations, live formulas, and expert guidance.

Air n₁ = 1.0.

Crown glass n₂ = 1.50.

Incident angle measured from normal (0° = normal incidence).

Calculated Result
0.01 %

P-Reflectance (R_p)

P-Reflectance (R_p)

0.01 %

Reflectance P Percent

0.8

Reflectance S Percent

9.2

Transmittance P Percent

99.2

Transmittance S Percent

90.8

0.01 — %

Calculation Breakdown

  1. Applied FormulaComputes polarization-resolved s- and p-polarized optical power reflection, transmission, and Brewster angle at dielectric interfaces using the Fresnel equations.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, \quad R_p = \left|\frac{n_2\cos\theta_i - n_1\cos\theta_t}{n_2\cos\theta_i + n_1\cos\theta_t}\right|^2

Fresnel Reflection (s/p) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0P-Reflectance (R_p)

What Is the Fresnel Reflection, Transmittance & Brewster Angle Calculator?

This tool computes fresnel reflection, transmittance & brewster angle calculator with high precision arithmetic.

How Does the Fresnel Reflection, Transmittance & Brewster Angle Calculator Work?

Computes polarization-resolved s- and p-polarized optical power reflection, transmission, and Brewster angle at dielectric interfaces using the Fresnel equations.

Fresnel Reflection, Transmittance & Brewster Angle Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Rs=∣n1cos⁡θi−n2cos⁡θtn1cos⁡θi+n2cos⁡θt∣2,Rp=∣n2cos⁡θi−n1cos⁡θtn2cos⁡θi+n1cos⁡θt∣2R_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, \quad R_p = \left|\frac{n_2\cos\theta_i - n_1\cos\theta_t}{n_2\cos\theta_i + n_1\cos\theta_t}\right|^2

Computes polarization-resolved s- and p-polarized optical power reflection, transmission, and Brewster angle at dielectric interfaces using the Fresnel equations.

How to Use the Fresnel Reflection, Transmittance & Brewster Angle Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Fresnel Reflection, Transmittance & Brewster Angle Calculator Example

Input Values:

incidentMediumIndexN1:1
transmittedMediumIndexN2:1.5
incidenceAngleDegrees:45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required %.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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