Morphology-dependent resonances in a large dielectric sphere: An asymptotic calculation using local coordinates

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1993

OSTI ID:7198035

Psarobas, I E

In this dissertation, an asymptotic calculation for the electromagnetic fields, at frequencies near low order high-Q morphology-dependent resonances in a large dielectric sphere, is presented. Employing local coordinates in the radial and angular directions, the present method takes advantage of the special field distribution within the sphere. Closed-form formulas for the resonant frequencies are derived. The results turn out to be consistent with the exact Mie solution, with a relative error of a small fraction of a percent. In addition, the approach employed here, renders more physical insight and simplifies the results of the conventional Mie Theory. The more interesting part of this method is that it does not require the knowledge of the exact solution to the entire problem and can be extended to fully nonlinear cases.

• Research Organization: Polytechnic Univ., Brooklyn, NY (United States)
• OSTI ID: 7198035
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360606 -- Other Materials-- Physical Properties-- (1992-)
661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
DIELECTRIC MATERIALS
ELECTRIC RESONANCE
ELECTROMAGNETIC FIELDS
MATERIALS
MORPHOLOGY
RESONANCE