WAV-24

Fresnel amplitude (normal)

Normal-incidence reflection.

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GoverningFresnel amplitude (normal)

Governing equation

r=(n_1-n_2)/(n_1+n_2)

where

n1: n1 (—)
n2: n2 (—)
r: Fresnel amplitude (normal) (—)

Lecture brief

Historical brief

d’Alembert’s wave equation, Snell, the thin-lens maker, Doppler and Bragg interference are the classical optics-and-sound toolkit. The lab is propagation, image and shift. This sheet (WAV-24 — Fresnel amplitude (normal)) is the form associated with Fresnel amplitude (normal). Working symbols: $n1$ , $n2$ $\rightarrow$ $r$ . Normal-incidence reflection. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

r

from

n1

n2

in Waves & optics via

r=(n_1-n_2)/(n_1+n_2)

Normal-incidence reflection. Use it when a real waves & optics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

n1 = 1.000\,\mathrm{—}

n2 = 1.500\,\mathrm{—}

, the governing relation

r=(n_1-n_2)/(n_1+n_2)

yields

r = -0.200\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

n1 n11 —n2 n21.5 —

Outputs

Fresnel amplitude (normal) r-0.200 —

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Normal-incidence reflection. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube