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Lect 3.5

# Lect 3.5 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering ECSE 352 Electromagnetic Waves and Optics 3.5 Wave reflection at oblique incidence References: Section 13.4 @Andrew Kirk 3.5-1 Overview In this class we will examine the case of waves i id t t b d t bli i id W ill incident onto a boundary at oblique incidence. We will see that waves can be refracted (i.e. their paths will be deviated) when they enter a medium of different dielectric constant. We will also see that the reflection and transmission coefficients are now a function of angle and polarization as well as material parameters. ECSE 352 3.5-2 Learning outcomes After taking this class you should be able to: Calculate the E and H field distribution in the case of oblique incidence onto a dielectric Recognize and apply the definitions of parallel and perpendicularly polarized waves Calculate the transmission and reflection coefficients for any polarization state Recognize that waves incident at an angle onto a dielectric are refracted Calculate the angle of refraction using Snell's law ECSE 352 3.5-3 Contents Definition of oblique incidence Reflection coefficients • Implications ECSE 352 3.5-4

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Snell’s law ECSE 352 3.5-5 Example: Why do swimming pools appear to be deeper than they really are? ECSE 352 3.5-6 Example: Why do swimming pools appear to be deeper than they really are? ECSE 352 3.5-7 Review: Normal incidence Reflection coefficient Γ : 2 1 j e φ η η η η Γ = = Γ + Transmission coefficient τ : 2 1 W 2 2 j e τ φ η τ τ η η = = + E 1 + E 2 + Air Dielectric REVIEW 2 1 E 1 - 10 10 x x E E + = Γ 20 10 x x E E τ + + = ECSE 352 3.5-8