329lect25 - 25 Wave reflection and transmission In this...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: 25 Wave reflection and transmission In this lecture we will examine the phenomenon of plane-wave reflections at an interface separating two homogeneous regions where Maxwell’s equations allow for traveling TEM wave solutions. The solutions will also need to ˆ n · ( D +- D- ) = ρ s ˆ n · ( B +- B- ) = 0 ˆ n × ( E +- E- ) = 0 ˆ n × ( H +- H- ) = J s satisfy the boundary condition equations repeated in the margin. We will consider a propagation scenario in which (see margin): Region 1 Region 2 H i x y z E i E t H t H r E r 1. Region 1 where z < is occupied by a perfect dielectric with medium parameters μ 1 , 1 , and σ 1 = 0 , 2. Region 2 where z > is homogeneous with medium parameters μ 2 , 2 , and σ 2 , 3. Interface z = 0 contains no surface charge or current except possibly in σ 2 → ∞ limit which will be considered separately at the end. • In Region 1 we envision an incident plane-wave with linear-polarized field phasors ˜ E i = ˆ xE o e- jβ 1 z and ˜ H i = ˆ y E o η 1 e- jβ 1 z , where – E o is the wave amplitude due to far away source located in z → -∞ region, – η 1 = μ 1 1 and β 1 = ω √ μ 1 1 . 1 Fields above satisfy Maxwell’s equations in Region 1, but if there were no other fields in Regions 1 and 2 boundary condition equations requiring continuous tangential E and H at the z = 0 interface would be violated....
View Full Document

This note was uploaded on 06/20/2011 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 6

329lect25 - 25 Wave reflection and transmission In this...

This preview shows document pages 1 - 3. Sign up to view the full document.

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