VARIATIONAL EVALUATION OF EM COUPLING TO A WIRE INSIDE A CAVITY

CONTRACTOR WILL DEVELOP A LAGRANGIAN FORMULATION FOR THE ELECTROMAGNETIC RESPONSE OF A METALLIC ENCLOSURE WITH THIN, SLIGHTLY DIFFUSIVE WALLS AND A WIRE SPANNING THE ENCLOSURE. CONTRACTOR WILL FIRST DERIVE A LAGRANGIAN OPERATOR ON THE FIELDS WHICH IS STATIONARY WHEN MAXWELL'S EQUATIONS ARE SATISFIED. THE LAGRANGIAN WILL THEN BE USED TO DETERMINE THE ENCLOSURE EIGENMODES (WIRE INCLUDED) AND THE AMPLITUDE OF EACH EIGENMODE RESULTING FROM AN ARBITRARY EXCITATION SOAKING INTO THE ENCLOSURE. CONTRACTOR WILL NEXT TRANSFORM THE FREQUENCY-DOMAIN EIGENMODE SOLUTION INTO THE TIME DOMAIN. LASTLY, CONTRACTOR WILL COMPARE RESULTS WITH THOSE OBTAINED FROM A CONVENTIONAL TIME-DOMAIN FINITE DIFFERENCE CODE.