3.5 - Department of Electrical and Computer Engineering...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Electrical and Computer Engineering ECSE 352 Electromagnetic Waves and Optics 3.5 Wave reflection at oblique incidence References: Section 13.5 AGK 2005 3.5-1 Overview In this class we will examine the case of waves 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 unction of angle and polarization as well as material function of angle and polarization as well as material parameters. ©AGK 2005 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 ecognize and apply the definitions of parallel and 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 ielectric are refracted dielectric are refracted • Calculate the angle of refraction using Snell's law ©AGK 2005 ECSE 352 3.5-3 Contents • Definition of oblique incidence • Reflection coefficients • Implications ©AGK 2005 ECSE 352 3.5-4
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Snell’s law ©AGK 2005 ECSE 352 3.5-5 Example: Why do swimming pools appear to be deeper than they really are? ©AGK 2005 ECSE 352 3.5-6 Review: Normal incidence • Reflection coefficient Γ : 21 j e φ η Γ= • Transmission coefficient τ : ηη + W 2 2 j e τ == E 1 + E + Air Dielectric REVIE + E 1 - 2 10 10 x x EE −+ 20 10 x x ++ = ©AGK 2005 ECSE 352 3.5-7 Review: Transverse EM waves Write the wave as: k k = Wave vector (m -1 ) () ( ) 0 exp j =− ER E kr r P a n k = a x k x + a y k y + a z k z k 2 = ω 2 2 k x 2 + k y 2 + k z 2 = 2 με 0z u h t is th l f hi h th h s st t ? What is the plane for which the phase is constant ? Plane of constant phase Æ k r is constant AVEFRONT ©AGK 2005 ECSE 352 3.5-8 k is always normal to wave-front Æ WAVEFRONT
Background image of page 2
Oblique incidence Perpendicular polarization (also y x pp ( called TE, E-polarzation, horizontal, s), interface Resolve polarization into two components: k 1 - k 2 η 2 z l f i id k + η 1 Plane of incidence (Plane of k 1 +
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

3.5 - Department of Electrical and Computer Engineering...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online