In a sourceless medium in which J = 0 and = 0, assume a rectangular
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In a sourceless medium in which J = 0 and ρν = 0, assume a rectangular coordinate system in which E and H are functions only of z and t. The medium has permittivity ∈ and permeability μ.
(a) If E = Exax and H = Hyay, begin with Maxwell’s equations and determine the second-order partial differential equation that Ex must satisfy.
(b) Show that Ex = E0 cos(ωt − βz) is a solution of that equation for a particular value of β.
(c) Find β as a function of given parameters.
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a First use in which case the curl has dictated the direction that H must lie in Similarly use ...View the full answer
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