Premium
Conservation of energy for a weakly irregular, open‐ or close‐bounded dispersive medium
Author(s) -
Schill Robert A.
Publication year - 1991
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650041106
Subject(s) - dissipative system , energy flux , physics , bounded function , instability , anisotropy , mathematical analysis , mechanics , mathematics , optics , quantum mechanics
Abstract A variational technique is used to develop an energy‐conservation theorem for a dispersive, anisotropic medium bounded by a weakly irregular open or closed structure. The weakly active/dissipative medium supports growing/decaying waves. Corrections in wave number and frequency are dependent on the instability properties of the wave for the open structure. New contributions to the power flux density and energy density result. For open and closed structures, the ratio of the corrections in wave number and frequency is dependent on the reactive properties of the structure walls. Effective wall‐resistance contributions for open structures further modify this ratio. Mode‐coupling and growth‐rate relationships are examined.