Cutoff frequencies of eccentric circular-elliptic metallic waveguides

Roumeliotis, John A.; Savaidis, Stylianos P.

doi:10.1109/22.330130

Cited by 18 publications

(13 citation statements)

References 7 publications

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“…For m = 2q + 1 or m = 2q the term with i = q should be omitted from the sum because it corresponds to the expansion coefficient α − 2q+2,2k−4 (see (10), (22), (23), (25), (28)), which is equal to zero for m < 2q + 2. The sum in the last two aforementioned cases, extended from i = 1 to i = q − 1, is considered as zero if its upper limit is less than 1, i.e., for q = 1.…”

Section: Calculation Of the Expansion Coefficients For The Even Functmentioning

confidence: 99%

Power series expansions for Mathieu functions with small arguments

Kokkorakis

Roumeliotis

2000

Math. Comp.

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Section: Calculation Of the Expansion Coefficients For The Even Functmentioning

confidence: 99%

Power series expansions for Mathieu functions with small arguments

Kokkorakis

Roumeliotis

2000

Math. Comp.

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“…In the special case with , or and , or , , we get various simplified expressions similar to those described in detail in [8] for the corresponding interior problem. For , our results agree with those obtained independently for the eccentric circular geometry.…”

Section: A Calculation Of the Fieldmentioning

confidence: 94%

“…In (7), we have made the substitutions (8) where (9) and (10) with , , all even or odd, and the prime denoting derivative with respect to the argument.…”

Section: A Calculation Of the Fieldmentioning

confidence: 99%

Scattering by an Infinite Circular Dielectric Cylinder Coating Eccentrically an Elliptic Dielectric Cylinder

Savaidis

Roumeliotis

2004

IEEE Trans. Antennas Propagat.

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Scattering of a plane electromagnetic wave by an infinite circular dielectric cylinder coating eccentrically an elliptic dielectric one, is under consideration. Both E and H polarizations are treated for normal incidence. The electromagnetic field is expressed in terms of both circular and elliptical-cylindrical wave functions. Using proper transformation theorems between the field expressions in different coordinate systems, for the satisfaction of the boundary conditions, we obtain two infinite sets of linear nonhomogeneous equations for the expansion coefficients of the field. In case of small values of h = k 2 c 2, where c is the interfocal distance of the elliptic cylinder and k 2 the wavenumber of the dielectric coating, the former sets of equations provide, by truncation, semianalytical expressions of the form S(h) = S(0)[1 + gh 2 + O(h 4 )] for the scattered field and the various scattering cross sections. The coefficients g are independent of h. Graphical results for the scattering cross sections are given for various values of the parameters.

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“…In the past decades, several researchers also made contributions to the study of the hollow elliptical waveguide and elliptical cavity (McLachlan 1964;Kretzschmar 1970Kretzschmar ,1972Rengarajan & Lewis 1980;Roumeliotis & Savaidis 1994;etc.). However, an elliptical cavity partially filled with plasmas at its two focuses has not been studied until this work, and the calibration of a microwave-excited elliptical lamp has not previously been given.…”

Section: Introductionmentioning

confidence: 98%

Microwave excitation and applications of an elliptical excimer lamp

Prelas

Meese

et al. 1998

Laser Part. Beams

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The concept and experimental results of a microwave-excited elliptical excimer lamp are presented in this paper. The plasma excimer photons are excited at one focus, and the absorber is placed at the second focus. Two elliptical microwave cavities with different eccentricities were tested to study the excitation and characteristics of such an elliptical excimer lamp. The results show that it can be a high-efficiency, narrow-band incoherent vacuum-ultraviolet (VUV)-tonear-infrared photon source. The potential applications of such an excimer lamp, especially with tunable vibronic solid-state and diamond thin film growth, are discussed.

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Cutoff frequencies of eccentric circular-elliptic metallic waveguides

Cited by 18 publications

References 7 publications

Power series expansions for Mathieu functions with small arguments

Power series expansions for Mathieu functions with small arguments

Scattering by an Infinite Circular Dielectric Cylinder Coating Eccentrically an Elliptic Dielectric Cylinder

Microwave excitation and applications of an elliptical excimer lamp

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