The variational principle for nonselfadjoint electromagnetic problems
Abstract
A systematic and intuitive procedure is presented to derive the variational (or stationary) principle for nonselfadjoint electromagnetic problems with various boundary conditions. The principle is interpreted physically with regards to generalized reactions, timeaverage stored energy, and reactive powers. The general variational principle which makes the generalized reactions a stationary value is actually an extension of the least action principle in physics. Nonselfadjoint variational expressions have been found leading automatically to selfadjoint variational expressions. The general formulation is useful in deriving the variational expressions for computation of fields and eigenvalues.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 August 1980
 DOI:
 10.1109/TMTT.1980.1130186
 Bibcode:
 1980ITMTT..28..878C
 Keywords:

 Adjoints;
 Boundary Value Problems;
 Electromagnetic Fields;
 Field Theory (Physics);
 Variational Principles;
 Boundary Conditions;
 Computer Techniques;
 Differential Equations;
 Eigenvalues;
 Integral Equations;
 Operators (Mathematics);
 Electronics and Electrical Engineering