Control Theoretic Formulation of Capacity of Dynamic Electro Magnetic Channels

TL;DR

This paper rigorously formulates the capacity of electromagnetic channels using control theory and Maxwell equations, identifying optimal source measures under power constraints for waveguides and similar structures.

Contribution

It introduces a control theoretic approach to electromagnetic channel capacity, proving existence and optimality conditions for source measures under power constraints.

Findings

Existence of source measures that attain channel capacity.

Necessary and sufficient conditions for optimality.

Application to waveguides and electromagnetic structures.

Abstract

In this paper nonhomogeneous deterministic and stochastic Maxwell equations are used to rigorously formulate the capacity of electromagnetic channels such as wave guides (cavities, coaxial cables etc). Both distributed, but localized, and Dirichlet boundary data are considered as the potential input sources. We prove the existence of a source measure, satisfying certain second order constraints (equivalent to power constraints), at which the channel capacity is attained. Further, necessary and sufficient conditions for optimality are presented.