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

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.

[1]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[2]  R. Ulrich,et al.  Theory of the Prism–Film Coupler by Plane-Wave Analysis , 1970 .

[3]  Dietrich Marcuse,et al.  Mode conversion caused by diameter changes of a round dielectric waveguide , 1969 .

[4]  E. Topuz.  E-Type Modes in Cylindrical Dielectric Waveguides with Periodic Boundary Perturbations (Short Papers) , 1976 .

[5]  K. L. Klohn,et al.  Electronic Modulated Beam-Steerable Silicon Waveguide Array Antenna , 1980 .

[6]  T. Itoh,et al.  Application of Gratings in a Dielectric Waveguide for Leaky-Wave Antennas and Band-Reject Filters (Short Papers) , 1977 .

[7]  Yih Shiau,et al.  Dielectric Rod Antennas for Millimeter-Wave Integrated Circuits (Short Papers) , 1976 .

[8]  R. Harrington.  Time-Harmonic Electromagnetic Fields , 1961 .

[9]  E. Freibergs,et al.  Single-Frequency Electronic-Modulated Analog Line Scanning Using a Dielectric Antenna , 1982 .

[10]  C. Papas.  Theory of electromagnetic wave propagation , 1965 .

[11]  P. K. Tien,et al.  Theory of Prism–Film Coupler and Thin-Film Light Guides , 1970 .

[12]  F. K. Schwering,et al.  Design of Dielectric Grating Antennas for Millimeter-Wave Applications , 1983 .

[13]  Vimal Singh,et al.  Perturbation methods , 1991 .

[14]  S. Seshadri.  Symmetric first-order Bragg interactions in an active dielectric waveguide , 1978 .

[15]  R. Mittra,et al.  Dielectric rod leaky-wave antennas for millimeter-wave applications , 1981 .

[16]  K. L. Klohn,et al.  Silicon Waveguide Frequency Scanning Linear Array Antenna , 1978 .