Stress sensitivity of electromagnetic resonances in circular dielectric disks

Abstract

By applying a perturbation method to the three-dimensional Maxwell's equations and using the previously obtained two-dimensional closed form solutions as the approximate unperturbed solutions, stress effect on the electromagnetic resonances in a dielectric circular disk embedded in free space are studied. Frequency changes of both the transverse electric and transverse magnetic modes are computed for disks of gallium arsenide and under three cases of loading: (1) A pair of diametral forces, (2) Steady vertical acceleration, and (3) Steady horizontal acceleration. In the latter two cases, the bottom face of the disk is supported by a rigid base