Dependence of the Induced Loss Factor on the Coupling Forms and Coupling Strengths: Energy Analysis
NAVAL SURFACE WARFARE CENTER CARDEROCK DIV BETHESDA MD
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In two recent papers the induced loss factor is determined via the modification to the loss factor in the linear impedance of a master oscillator caused by its coupling to a set of satellite oscillators. A recapitulation of this linear impedance analysis LIA is presented. A loss factor is basically an energetic quantity and, therefore, one may inquire whether the induced loss factor may be estimated via an energy analysis EA. An answer to this question is sought. It is shown that the two analyses LIA and EA, yield in the appropriate frequency range, identical results for the induced loss factor. This frequency range spans the distribution of resonance frequencies of the satellite oscillators. In this frequency range the identity of the results is not only in terms of gross features, but also in details. Finally, the relationship of EA to statistical energy analysis SEA is explored. The loss factors of the satellite oscillators are directly related to modal overlap parameters. It is found that for the stronger couplings, the validation of SEA may require these modal overlap parameters to exceed a certain threshold.
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