(a) Show that a general TM wave in a hollow tube waveguide can be derived from a longitudinal vector potential A(r, t) zA(r) exp(ihz t) which satisfies the wave equation (b) Duality implies that a general TE wave can be derived from an electric vector potential A, where E TE A Explain why this make...

a Deriving the general TM wave in a hollowtube waveguide from the longitudinal vector potential Ar t Ar expihz t In electromagnetism the electric and ...

(a) Show that a general TM wave in a hollow-tube waveguide can be derived from a longitudinal...

Question:

(a) Show that a general TM wave in a hollow-tube waveguide can be derived from a longitudinal vector potential A(r, t) = ẑA(r⊥) exp(ihz − ωt) which satisfies the wave equation.
(b) Duality implies that a general TE wave can be derived from an “electric vector potential” Ã, where E_TE= ∇ × Ã. Explain why this makes perfectly good sense.

Fantastic news! We've Found the answer you've been seeking!