Lecture 19 Lecture Notes

Lecture 19 Lecture Notes - Lec 19 - 25. Feb February2509...

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3-dim formulation time dependence of TM mode for fixed frequency: similar calculation for TE modes valid for any type of cross-section 6.6 Energy transport in wave guides time average of Poynting vector dependency cancels out => flow through cross section: Recap: Dispersion relation: free space: rectangular wave guide: Phase velocity: Group velocity for wave packet centered at Lec 19 - 25. Feb February 25 09 9:54 PM Lecture Notes Page 1
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Energy density Note: But on Helmholtz Eqn: Lecture Notes Page 2
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energy density in cross-section: Velocity of energy transport 6.7 Spread of Gaussian wave packets (see Franklin 'Classical Electromagnetism', Ch. 11.6.2) Consider e/m wave in one dimension: => represents a moving wave packet peaked around vector potential - E-field - B-field - can be anything, for example in complex notation Lecture Notes Page 3
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Choose initial value: Gaussian shape Gauss envelope, width L
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This note was uploaded on 07/28/2009 for the course PHYS 441B taught by Professor Norbertlutkenhaus during the Winter '09 term at Waterloo.

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Lecture 19 Lecture Notes - Lec 19 - 25. Feb February2509...

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