Point matching technique applied to electromagnetic scattering in waveguide
Abstract
Point Matching (PM) numerical technique is applied to computations of electromagnetic fields in rectangular waveguide in a H right corner. From a mathematical point of view, the problem consists in solving an algebraic linear system in which the number of equations is dependent on the number of matching points, and the number of unknowns is dependent on the number of terms in the truncated series of fields. Solutions obtained by applying the well-known Gauss algorithm, which is based on successive elimination of unknowns and is suitable for consistent square systems, are compared with those yielded by generalized pseudoinversion according to Moore-Penrose. Through a test of consistence or compatibility the above algorithm, also valid for rectangular or singular systems, turns out to be a more powerful tool in solving ill-conditioned systems. Calculation results are compared with those obtained by laboratory experiments, as well as with those yielded by the Marcuvitz variational method.
- Publication:
-
Alta Frequenza
- Pub Date:
- October 1979
- Bibcode:
- 1979AlFr...48..421C
- Keywords:
-
- Applications Of Mathematics;
- Boundary Value Problems;
- Electromagnetic Scattering;
- Rectangular Waveguides;
- Waveguides;
- Algorithms;
- Convergence;
- Linear Systems;
- Reflectance;
- Communications and Radar