Abstract

The vector field properties of the modes in cylindrical resonators are analyzed in detail. Modes with spatially varying directions of polarization are shown to exist even in the absence of polarizing elements. The polarizing properties of conical elements may cause such modes to become dominant. The vector field equations governing these modes are reduced to a pair of coupled integral equations by expanding the vector components in a Fourier series in the azimuthal angle. Two solution methods are derived by expanding the Fourier components in series of the radial modes of the related scalar field problem. Applications of these methods to annular resonators are included by developing commutation relations between annular propagation operators and conical element polarization operators.

© 1982 Optical Society of America

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