Summary of Feb. 14, 2007


	Plane wave	Feb. 14, 2007

+ Plane wave in lossless medium consists of constant amplitude & phase and the propagation phase factor ( [equation] in +z direction or in -z direction); e.g. for

+ Wave vector: [equation]

+ TEM wave (pp. 276-282) -- E & H on a transverse plane perpendicular to propagation direction, i.e. [equation] ; note , & are in cyclic order, i.e.

+ Magnitude of [equation] and in lossless medium

Intrinsic (wave) impedance (eta) ; free space
Example 2.2: Plane wave method

+ Wave equation for lossy media in phasor form (pp. 287-295): [equation] where , i.e. attenuation coefficient ( ) and phase factor (rad/m).
Example 2.3: Attenuation coef. and phase factor
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HW #8	Due 2/22/07

1. a) Problem 6.15 (page 271, note: treat kR term like part of the phase and find the exponential form first), b) convert [equation]

into phase form, c) convert [equation]

into a time varying function with [equation]

.
2. A 30 MHz wave with [equation]

propagates in a medium with [equation]

and

. Calculate the corresponding [equation]

using Maxwell's equations.
Extra-Credit: Solve Problem 6.21 (page 271) with Maxwell's equations method (look at example 2.5 on the web. Notice that the problem give [equation]

and R is equivalent to r in my notation.)

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