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Electromagnetic Whispering Gallery Modes in a Dielectric Rod
Author(s) -
Wait James R.
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds1967291005
Subject(s) - whispering gallery wave , whispering gallery , physics , dielectric , cylinder , optics , electromagnetic radiation , boundary (topology) , phase velocity , geometry , optoelectronics , mathematical analysis , resonator , mathematics
It is shown that some of the general coupled electromagnetic modes in a large dielectric cylinder are of a whispering‐gallery type. These have the property that their energy is mainly confined to the region near the boundary. When the axial wave number h is greater than the external wave number k 2 , these modes are shown to be unattenuated. However, if h is less than k 2 the modes are leaky. Approximate expressions are derived for the circumferential phase velocity of these spiraling‐type whispering gallery modes.