1. A rectangular waveguide has internal dimensions a and b, with a > b. Cartesian coordinates (x, y, z) are chosen so th
Posted: Wed May 18, 2022 6:45 am
1. A rectangular waveguide has internal dimensions a and b, with a > b. Cartesian coordinates (x, y, z) are chosen so that the internal volume of the waveguide occupies 0 < x < a and 0 < y = b. Transverse electric (TE) modes in the waveguide all have vanishing z component for the electric field, E, = 0. For the TE10 mode the x component also vanishes, Ex = 0, and the y-component is пх E, = E, sin = leiſkz-wt) Show that the magnetic field components are kE. sin лх πΕο πχ Bc (That Deco lei(kz-ot) B, = 0, B2 = -1 = COS wa Vellez.com ei(kz-ot) o 2. A rectangular waveguide has internal dimensions 3.2 cm and 1.4 cm. If the driving frequency is 15.0 GHz, what TE modes can propagate in this waveguide? What range of frequencies can you use to ensure that only one TE mode propagates?