The variational principle for non-self-adjoint electromagnetic problems
Abstract
A systematic and intuitive procedure is presented to derive the variational (or stationary) principle for non-self-adjoint electromagnetic problems with various boundary conditions. The principle is interpreted physically with regards to generalized reactions, time-average 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. Non-self-adjoint variational expressions have been found leading automatically to self-adjoint 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