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Power flow in a TE mode for a rectangular waveguide
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[QUOTE="PhDeezNutz, post: 6245874, member: 577620"] This doesn't warrant a new thread so I'll just ask it here. I'm considering the fields within the skin depth ##\delta## of the guide walls. [U]Supposedly[/U] the magnetic field is greater in magnitude than the electric field. my expression relating the fields within the guide walls (i.e. the conductor) is $$\vec{E_c} = \left(\frac{\mu \omega}{2\sigma}\right)^{\frac{1}{2}} \left( 1 - i \right) \left(\hat{n} \times \vec{H_{\parallel}} \right) e^{-\frac{n}{\delta}}e^{\frac{n}{\delta}} = \left(\frac{\mu \omega}{2\sigma}\right)^{\frac{1}{2}} \left( 1 - i \right) \vec{H_c}$$ Where ##\sigma## is the conductivity. ##\omega## is the angular frequency. ##\mu## of course is the magnetic permeability. I can't for the life of me justify why ##\left(\frac{\mu \omega}{2\sigma}\right)^{\frac{1}{2}} \lt 1## categorically. On one hand ##\sigma## is really big so that should minimize the term. But for what reason is ##2 \sigma \gt \mu \omega##? [/QUOTE]
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Power flow in a TE mode for a rectangular waveguide
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