Lect17Anisotropic

Lect17Anisotropic - ECE 3030 Electromagnetic Fields and...

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1 ECE 3030 Electromagnetic Fields and Waves Fall 2009 Lecture 17 2009/10/5 Waves in Anisotropic Media Biaxial and Uniaxial Media Birefringence 1 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: Instructor: Dr. Wesley E. Swartz Quarter-Wave Plates Half-Wave Plates y x z =0 z = L In Class Quiz (Closed notes) 1. Wave type (list all possibilities): (a) Lossless dielectric (b) Lossy dielectric (c) Conductor, finite σ (d) Perfect conductor (e) Plasma with ω < ω p (f) Plasma with ω > ω p 2 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: In Class Quiz (Closed notes) 2. Wave type (list all possibilities): (a) Lossless dielectric (b) Lossy dielectric (c) Conductor, finite σ (d) Perfect conductor (e) Plasma with ω < ω p (f) Plasma with ω > ω p 3 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: In Class Quiz (Closed notes) 3. Wave type (list all possibilities): (a) Lossless dielectric (b) Lossy dielectric (c) Conductor, finite σ (d) Perfect conductor (e) Plasma with ω < ω p (f) Plasma with ω > ω p 4 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: In Class Quiz (Closed notes) 4. Wave type (list all possibilities): (a) Lossless dielectric (b) Lossy dielectric (c) Conductor, finite σ (d) Perfect conductor (e) Plasma with ω < ω p (f) Plasma with ω > ω p 5 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: Problem Assignments Demo 6 Problems: Problem 9.4a(I,ii), b(i,ii), c(I,ii) – plane wave equations. Problem 10.2 – finding the direction of propagation. Problem 11.1 – a uniaxial medium, carry over to Workshop if time runs out. Workshop 6 Problems: Problem 10.3 – finding the complete expression for a wave. Problem 10.9 – time delay between pulses from a pulsar. 6 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: Problem 11.4 – a uniaxial medium, carry over to homework. Homework 6 Problems: Problem 9.4a(iii), b(iii,iv), c(iii) – plane wave equations. Problem 9.15 – determining the propagation direction of a plane wave. Problem 10.5 – a proof of the equality of Poynting loss and E•J .
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2 Anisotropic Media So far you have been dealing with materials that “looked” the same in all directions (i.e. isotropic) and the D-field is related to the E-field by one scalar number – the dielectric permittivity: Now consider a material whose molecules can easily be polarized by E-fields in the z-direction, but don’t respond much to E-fields in the x- and y-directions () r E r P r E r D o ε = + = 7 Rana and Swartz 06/5/25 Electromagnetic Fields and Waves – Fall 2009 Lecture 17: z x y E-field in the z - direction: strongly polarization z x y E-field in the x -or y - directions: little polarizization -ve electron cloud +ve ions Dielectric Permittivity Tensor In the most general case, the D-field is related to E-field through a
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This note was uploaded on 11/26/2009 for the course ECE 3030 at Cornell.

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Lect17Anisotropic - ECE 3030 Electromagnetic Fields and...

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