Reflection and Transmission Equation Formula Latex Code and Summary

Reflection and Transmission

Tags: #physics #optics #reflection #transmission

Equation

$$r_\parallel\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\parallel \\ r_\perp\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\perp \\ t_\parallel\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\parallel \\ t_\perp\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\perp$$

Latex Code

                                 r_\parallel\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\parallel \\ 
            r_\perp\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\perp \\ 
            t_\parallel\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\parallel \\ 
            t_\perp\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\perp

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Introduction

$r_\parallel\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\parallel \\ r_\perp\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\perp \\ t_\parallel\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\parallel \\ t_\perp\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\perp$

Latex Code

            r_\parallel\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\parallel \\ 
            r_\perp\equiv\left(\frac{E_{0r}}{E_{0i}}\right)_\perp \\ 
            t_\parallel\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\parallel \\ 
            t_\perp\equiv\left(\frac{E_{0t}}{E_{0i}}\right)_\perp

Explanation

If an electromagnetic wave hits a transparent medium part of the wave will reflect at the same angle as the incident angle, and a part will be refracted at an angle according to Snell's law. It makes a difference whether the E field of the wave is \perp or w.r.t. the surface. When the coefficients of reflection r and transmission t are defined as. I will briefly introduce the notations in this formulation.

$E_{0r}$ : reflected amplitude
$E_{0t}$ : transmitted amplitude

Discussion

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Kathy Bailey

I just want to get through this exam.

2023-08-27 00:00
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Larry Mitchell reply to Kathy Bailey

Nice~

2023-09-26 00:00:00.0
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Mildred Turner

All I'm asking for is to pass this test!

2023-01-26 00:00
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Travis Flores reply to Mildred Turner

Gooood Luck, Man!

2023-02-15 00:00:00.0
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Peggy Fisher

Crossing everything possible to pass this exam.

2023-11-17 00:00
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Lawrence George reply to Peggy Fisher

Nice~

2023-11-18 00:00:00.0
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