Document Type

Conference Proceeding

Publication Date

8-15-2016

Abstract

This communication investigates the sensitive behavior of dynamic resonant scattering when an extended system is weakly coupled to a resonator (high-Q) and the source field is nearly monochromatic but of finite energy. We analyze a specific model that incorporates certain universal features of resonance. It is a resonant modification of the Lamb model for the interaction between an oscillator and a continuum. This resonant Lamb model incorporates a two-part scatterer attached to an infinite string with continuous spectrum. The non-resonant part of the scatterer is associated with direct scattering; and the resonant part - an oscillator coupled weakly to the string - is associated with field amplification and delayed scattering. A sharp anomaly in the transmission coefficient occurs when the source frequency is within γ2 of the resonant frequency (where γ is the coupling constant and the Q-factor is of order γ-2); this anomaly is mollified as the source spreads spectrally. Resonant amplification occurs when the source frequency is within γ of the resonant frequency. The amount of amplification depends on the relationships between the spectral width γ2 of the transmission resonance, the spectral width σ of the source field, and the difference between the source frequency and the resonant frequency.

Publication Source (Journal or Book title)

International Conference on Mathematical Methods in Electromagnetic Theory MMET

First Page

102

Last Page

107

Download

Share

COinS