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Unformatted text preview: 16 Reflection and transmission, TE mode • Last lecture we learned how to represent planeTEM waves propagating in a direction ˆ k in terms of field phasors In 1808 EtienneLoius Malus discovered that light re flected from a surface at an oblique angle will in general be polarized differently than the incident wave on the re flecting surface. This is caused by the differ ence of the reflection coeffi cients of TE and TM com ponents of the incident wave as we will learn in this lec ture. Practical implementa tion of the phenomenon in clude polarizers and polariz ing filters used in optical in struments, photography, and LCD displays. ˜ E = E o e j k · r and ˜ H = ˆ k × ˜ E η such that η = μ , k = k ˆ k, and k = ω √ μ . Such waves are only permitted in homogeneous propagation media with constant μ and and zero σ . – The condition of zero σ can be relaxed easily — in that case the above relations would still hold if we were to replace by + σ jω as we will see later on. • In this lecture we will examine the propagation of planeTEM waves across two distinct homogeneous media having a planar interface be tween them. k i k r k t θ 2 θ 1 x z H i k 1 cos θ 1 k 1 sin θ 1 k 2 sin θ 2 Medium 1 Medium 2 θ 1 • With no loss of generality we can choose unit vector ˆ x be the unit normal of the interface plane separating medium 1 in the region x < from medium 2 in the region x > . 1 • A planeTEM wave incident onto the interface from medium 1 is as signed a wavevector k i = k 1 (ˆ x cos θ 1 + ˆ z sin θ 1 ) by taking ˆ y to be orthogonal to k i (see margin)....
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This note was uploaded on 09/27/2011 for the course ECE 450 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Staff
 Electromagnet

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