Hello beautiful minds
I have to analyse a simple microwave structure using the Boundary Integral-Resonant Mode Expansion (BI-RME) where I have to calculate the coefficients Aij, Bij, Cij and Kp in order to calculate the admittance matrix. Well, for Aij and Bij it's a simple formula, however, for Cij and Kp I should solve Helmholtz's equation in a 2D domain (Laplacian (U (x, y)) + Kp ^ 2 U (x, y) = 0), so after several attempts, I can find neither Cij nor Kp. I was wondering if someone might be able to give me a help by answering my questions below:
1- the analytical formula of eigenfunction U(x,y) depends on two natural constants (m,n)?
2- How many eigenvalues I should take in consideration to get best results?
I'll appreciate if you add some detail exemplification.
thanks for any help you can provide.
Hello Sudipta Maity, thank you for answering my question
in the first step I use a rectangular waveguide just to test my Matlab code, in the second step I would like use it for analyse a substrat integrated waveguide.
Basically, BI-RME use FEM technique. This paper may help you...
Shape analysis with the ‘Boundary Integral–Resonant Mode Expansion’ method by P. Gambaa , L. Lombardib, Image and Vision Computing 17 (1999) 357–364
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If you want to use analytical formula, you can use the solution of waveguide. You can consult this book. Advanced Engineering Electromagnetics_C A Balanis_1989
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As you are working on SIW, please consult Prof. K. Wu's paper or Microstrip Lines and Slotlines_3e_Ramesh Garg_2013
I never seen BI-RME using analytical technique. Every body do prefer to use FEM. Please go on this particular topic.
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