ELEG413lec5 - ELEG 413 Lecture #5 Mark Mirotznik, Ph.D....

Info iconThis preview shows pages 1–15. 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

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight 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: ELEG 413 Lecture #5 Mark Mirotznik, Ph.D. Associate Professor The University of Delaware Email: mirotzni@ece.udel.edu Polarization Polarization Polarization Polarization Polarization Polarization Uniform Plane Waves: Propagation in Any Arbitrary Direction E H y x z z z y y x x o z y x z z y y x x r j o E a E a E a E z a y a x a r a a a e E r E ) ( ~ + + = + + = + + = = - 2 2 2 z y x + + = = 2 2 2 2 2 ) sin( z y x y x + + + = 2 2 ) cos( y x y + = Uniform Plane Waves: Propagation in Any Arbitrary Direction ) ( ~ = = - o r j o E e E r E E H y x z Since E and are at right angles from each other. [ ] [ ] [ ] [ ] [ ] [ ] E a E a E a E E e E E e j j E e j e E j E j H r j o o r j o r j r j o = = = = = = = = = = - - - - 1 1 1 1 1 1 1 ~ 1 ~ where = 2 2 2 z y x z z y y x x a a a a + + + + = = and Uniform Plane Waves: Propagation in Any Arbitrary Direction [ ] a a a a a H a a E a E r t E t r H E a r H a E r t E t r E e E r E H E H o E o H o o o E o o r j o = = = = = + - = = + - = = - ) cos( ) , ( 1 ) ( ~ ) cos( ) , ( ) ( ~ Observation 1. E, H and vectors are pointing in orthogonal directions. Summary and Observations: Frequency Domain Time Domain Observation 2. E and H are in phase with each other, however, Hs magnitude is smaller by the amount of the wave impedance Reflection and Transmission Reflection and Transmission Reflection and Transmission Reflection and Transmission Reflection and Transmission...
View Full Document

This note was uploaded on 12/13/2011 for the course ELEG 413 taught by Professor Mirotznik during the Spring '11 term at University of Delaware.

Page1 / 38

ELEG413lec5 - ELEG 413 Lecture #5 Mark Mirotznik, Ph.D....

This preview shows document pages 1 - 15. Sign up to view the full document.

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