Department of Electrical and Computer EngineeringECSE 352 Electromagnetic Waves and Optics3.5 Wave reflection at oblique incidenceReferences: Section 13.4@Andrew Kirk 3.5-1OverviewIn this class we will examine the case of waves iidt t bdt bliiidW 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 3.5-2Learning outcomesAfter 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 3.5-3Contents•Definition of oblique incidence•Reflection coefficients• ImplicationsECSE 352 3.5-4
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Snell’s lawECSE 352 3.5-5Example: Why do swimming pools appear to be deeper than they really are?ECSE 352 3.5-6Example: Why do swimming pools appear to be deeper than they really are?ECSE 352 3.5-7Review: Normal incidence•Reflection coefficient Γ:21jeφηηηη−Γ == Γ+•Transmission coefficient τ:21W22jeτφηττηη==+E1+E2+AirDielectricREVIEW21E1-1010xxEE−+= Γ2010xxEEτ++=ECSE 352 3.5-8