Consider a vacuum-filled wave guide whose cross-sectional shape is a 45° right triangle as shown below. 45° perfect conductor a 545° 90 (a) Show that there is a TE mode of this waveguide for which inside the waveguide H, (x.y) = H.[ cos (T) + cos (* ) ]. %3D (b) What is the cutoff frequency for this mode?

Principles of Physics: A Calculus-Based Text
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Chapter24: Electromagnetic Waves
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Consider a vacuum-filled wave guide whose cross-sectional shape is a 45° right triangle as
shown below.
↑
perfect conductor-
45°
a
545°
90°
(a) Show that there is a TE mode of this waveguide for which inside the waveguide
He (x.y) =D Ho[ cos (픈) + cos (팡)].
(b) What is the cutoff frequency for this mode?
Transcribed Image Text:Consider a vacuum-filled wave guide whose cross-sectional shape is a 45° right triangle as shown below. ↑ perfect conductor- 45° a 545° 90° (a) Show that there is a TE mode of this waveguide for which inside the waveguide He (x.y) =D Ho[ cos (픈) + cos (팡)]. (b) What is the cutoff frequency for this mode?
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