KEYWORDS: Resonators, Dielectrics, Magnetism, Microresonators, Electromagnetism, Silica, Free space, Finite element methods, Sapphire, Chemical elements
It is explained how FEMLAB / COMSOL Multiphysics can be configured to calculate, the frequencies, electromagnetic-field patterns, mode volumes, filling factors, radiation losses ... of the
whispering-gallery modes of axisymmetric microresonators.
The method exploits COMSOL's ability to accept the definition of solutions to Maxwells equations in so-called
'weak form'. As no transverse approximation is imposed, it remains accurate even for so-called quasi-TM and -TE modes
of low, finite azimuthal mode order, as are relevant to applications in non-linear/quantum optics. The method's utility is
exemplified by simulating various microresonators in the form of dielectric toroids and disks.
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