Hi all,
I'm analyzing FSS structure.
The MoM analysis is based on Electric Field Integral Equation (EFIE) and leads to the formulation of a homogeneous matrix problem (Z*I=0).
The solution of this problem is performed by an iterative procedure:
for a given value of the propagation phase constant beta,
the frequency range is scanned to find the frequencies where the field equation has a non trivial solution.
The search of these frequency is based on the detection of the determinant zero crossing.
In the slow region(no radiation), the Z (anti-hermitian) eigenvalues are pure imaginary.
In the fast region(radiation), the Z (general complex) eigenvalues are complex.
While frequency's increasing eigenvalues are decreasing (so they couldn't be propagation constants-like).
In the slow region(no radiation), the Z (anti-hermitian) eigenvalues are pure imaginary.
In the fast region(radiation), the Z (general complex) eigenvalues are complex.
While frequency's increasing eigenvalues are decreasing (so they couldn't be propagation constants-like).
MoM uses rooftop basis functions.
The matrix elements are definited so that Z matrix is anti-hermitian (in the slow region).
So, nxn anti-hermitian matrix has got n pure imaginary eigenvalues.
can you point me to a reference where the above statement is made/proved?
I have some idea on the rooftop basis, I only know that the matrix is symmetric (complex). I don't know how you can give physical meaning to all of the n eigenvalues.