This problem concerns, using a multilayer k -space algorithm, the study of EM radiation from a…

This problem concerns, using a multilayer k-space
algorithm, the study of EM radiation from a parallel plate waveguide (see
Figure 4.15).

(a). .Re-solve the example of Section 4.4.4 using the
k-space single layer algorithm described in the text.

(b) Divide the single layer of Figure 4.15, referred to in
(a), into a discrete number of layers and solve for the general form of the EM
fields there. Using these solutions and by matching EM boundary conditions at
all interfaces, develop a cascaded, multilayer ladder algorithm that relates
all EM fields at one interface to other interfaces in
»

This problem concerns, using a multilayer k-space
algorithm, the study of EM radiation from a parallel plate waveguide (see
Figure 4.15).

(a). .Re-solve the example of Section 4.4.4 using the
k-space single layer algorithm described in the text.

(b) Divide the single layer of Figure 4.15, referred to in
(a), into a discrete number of layers and solve for the general form of the EM
fields there. Using these solutions and by matching EM boundary conditions at
all interfaces, develop a cascaded, multilayer ladder algorithm that relates
all EM fields at one interface to other interfaces in the system. Formulate and
solve a system matrix from which all of the unknowns of the system may be
found. Your solution to this part should almost exactly equal that of (a).

(c) Use the algorithm in (b) to solve the case where instead
of each layer having the same material parameters, let the material parameters
be different from one another. The solution of this problem represents how
k-space theory can be used to solve radiation from an inhomogeneous layer,
aperture, waveguide system. Golden and Stewart [35] and Jarem [16] have used
two-dimensional, Fourier k-space theory to study reentry vehicle, rectangular
waveguide slot radiation through an inhomogeneous plasma layer sheath.

»

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