Fundamentals of Engineering Electromagnetics 1st Edition by David Cheng

Exercise 3

A uniform plane wave propagates in the + z -(downward) direction into the ocean ( r = 72, r = 1, = 4S/m). The magnetic field at the ocean surface (z = 0) is H (0, t ) = a y 0.3 cos 10 8 t (A/m).
a) Determine the skin depth and the intrinsic impedance of the ocean water.
b) Find the expressions of E ( z , t ) and H ( z , t ) in the ocean.
c) Find the average power loss per unit area in the ocean as a function of z.