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serious now:
as I understand it the MoM is a 2D or quasi 2D (2.5D) method. One devides a structure into finite elements, rectangles in some cases. The method then calculates the current distribution in such a way, that the tangential part of the E-Filed along the waveguide equals zero.
moment method is optimization solution in the electromagnetic.
software by moment method:
1- zeland(ie3d) also software ie3d is method moment and full wave.
MoM was a very useful numerical technique for solving integral, differential and integro-differential equations. It has been used very extensively in electromagnetics. They can be used to solve closed or open boundaries and unlike FEM or FDTD, they do not need truncation of the domain (with PMLs or absorbing boundary conditions). It can be used to solve in frequency (the most common), and in time domain.
The very basic formulation of the MoM is that
1. you have an incident electric field on a metallic structure (does not have to be 2D by the way, I used MoM to solve 3D metallic structures and zeland IE3D can do this too)
2. This electric field will excite currents on the structure, and this current has to satisfy the boundary conditions which is that the total electric field at the metallic surface is zero, in mathematics that is
n x (E(incident) + E(scattered)) = 0
3. you find the scattered field by expanding the unknown currents using certain basis functions. such as pulse, roof top or RWG basis functions.
A very good reference on the Method of Moments is R. F. Harrington book "Field Computation by Moment Methods"
also, if you need a quick reference there is an excellent IEEE paper on the method of moments called
"Electromagnetic scattering by surfaces of arbitrary shape". Rao, S. Wilton, D. Glisson, A., IEEE transactions on antennas and propagation
I hope this will help, if you need anything else please let me know
Best regards,
Adel
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