Excitation and scattering of guided modes on a dielectric cylinder with a periodically varying radius

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Abstract
The excitation and scattering of guided modes on a cylindrical dielectric waveguide with a corrugated surface is investigated. The interactions between the finite number of radiation modes and an infinite number of surface modes are considered with the consequence that both the amplitude and phase of the interacting modes are evaluated. The excitation by a two-dimensional beam is analyzed and the transverse electric and transverse magnetic modes are investigated. The power conservation relation of a corrugated cylinder is established and the reciprocity relations are investigated in general terms starting from the principle of time reversal. The fields of a finite length corrugated cylinder are used to obtain the far-field radiation pattern and treat its frequency characteristics. The effects of dielectric permittivity, dielectric losses, dephasing measure, and the grating profile are investigated.

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