Some observations on the significance of orthogonal modes in antenna analysis by the method of moments
Abstract
The socalled orthogonal modes which appear in the context of boundaryvalue problems in electromagnetic field theory are examined. It is proven that any problem describable in terms of a linear operator equation with a symmetric matrix representation of the operator possesses a set of characteristic orthogonal modes, such that when the problem is reformulated in terms of the characteristic modes the matrix of the operator becomes diagonal. The value of this fact is discussed, and some practical methods of performing the diagonalizing reformulation are described and compared.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 November 1979
 Bibcode:
 1979STIN...8110257H
 Keywords:

 Antenna Radiation Patterns;
 Boundary Value Problems;
 Modal Response;
 Orthogonal Functions;
 Electromagnetic Fields;
 Field Theory (Physics);
 Integral Equations;
 Matrices (Mathematics);
 Moments;
 Communications and Radar