Perturbation analysis of electromagnetic eigenmodes in toroidal waveguides

Kark, Klaus W.

doi:10.1109/22.76425

Cited by 12 publications

(12 citation statements)

References 8 publications

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“…where the transverse Laplacian operator is defined according to (12), E x 0 , E y 0 , E ζ0 are the initial values of the corresponding fields at ζ = 0, i.e. E x 0 = E x (x, y, ζ = 0) and E…”

Section: For Instance Is Given According To Eq (24a)mentioning

confidence: 99%

See 1 more Smart Citation

Analyzing Wave Propagation in Helical Waveguides Using Laplace, Fourier, and Their Inverse Transforms, and Applications

Menachem¹,

Tapuchi²

2013

Wave Propagation Theories and Applications

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Section: For Instance Is Given According To Eq (24a)mentioning

confidence: 99%

“…The propagation of EM waves in a loss-free inhomogeneous hollow conducting waveguide with a circular cross section and uniform plane curvature of the longitudinal axis was considered [12]. For small curvature the field equations can be solved by means of an analytical approximation method.…”

Section: Introductionmentioning

confidence: 99%

Analyzing Wave Propagation in Helical Waveguides Using Laplace, Fourier, and Their Inverse Transforms, and Applications

Menachem¹,

Tapuchi²

2013

Wave Propagation Theories and Applications

View full text Add to dashboard Cite

“…The propagation of EM waves in a loss-free inhomogeneous hollow conducting waveguide with a circular cross section and uniform plane curvature of the longitudinal axis was considered in [12]. For small curvature the field equations can, however, be solved by means of an analytical approximation method.…”

Section: Introductionmentioning

confidence: 99%

“…Various methods for the analysis of cylindrical hollow metallic or metallic with inner dielectric coating waveguide have been studied in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. A review of the hollow waveguide technology [1] and a review of IR transmitting, hollow waveguides, fibers and integrated optics [2] were published.…”

Section: Introductionmentioning

confidence: 99%

Infrared Wave Propagation in a Helical Waveguide With Inhomogeneous Cross Section and Applications

Menachem¹,

Mond²

2006

PIER

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Abstract-This paper presents an improved approach for the propagation of electromagnetic (EM) fields along a helical dielectric waveguide with a circular cross section. The main objective is to develop a mode model for infrared (IR) wave propagation along a helical waveguide, in order to provide a numerical tool for the calculation of the output fields, output power density and output power transmission for an arbitrary step's angle of the helix. Another objective is to apply the inhomogeneous cross section for a hollow waveguide. The derivation is based on Maxwell's equations. The longitudinal components of the fields are developed into the FourierBessel series. The transverse components of the fields are expressed as functions of the longitudinal components in the Laplace plane and are obtained by using the inverse Laplace transform by the residue method. The separation of variables is obtained by using the orthogonalrelations. This model enables us to understand more precisely the influence of the step's angle and the radius of the cylinder of the helix on the output results. The output power transmission and output power density are improved by increasing the step's angle or the radius of the cylinder of the helix, especially in the cases of space curved waveguides. This mode model can be a useful tool to improve the output results in all the cases of the hollow helical waveguides (e.g., in medical and industrial regimes). 160 Menachem and Mond

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“…Various methods of cylindrical hollow metallic or metallic with inner dielectric coating waveguide have been proposed in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. A review of the hollow waveguide technology [1,2] and a review of IR transmitting, hollow waveguides, fibers and integrated optics [3] were published.…”

Section: Introductionmentioning

confidence: 99%

Helical Waveguide With Two Bendings, and Applications

Menachem¹,

Tapuchi

2010

PIER B

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Abstract-This paper presents an improved approach for the propagation of electromagnetic (EM) fields along a helical hollow waveguide that consists of two bendings in the same direction. In this case, the objective is to develop a mode model for infrared (IR) wave propagation, in order to represent the effect of the radius of the cylinder of the helix and the step's angle on the output fields and the output power transmission. This model enables us to understand more precisely the influence of the step's angle and the radius of the cylinder of the helix on the output results of each section (bending). The output transverse components of the field, the output power transmission and the output power density for all bending are improved by increasing the step's angle or the radius of the cylinder of the helix, especially in the cases of space curved waveguides. This mode model can be a useful tool to improve the output results in all the cases of the helical hollow waveguides with two bendings for industrial and medical regimes.

show abstract

Perturbation analysis of electromagnetic eigenmodes in toroidal waveguides

Cited by 12 publications

References 8 publications

Analyzing Wave Propagation in Helical Waveguides Using Laplace, Fourier, and Their Inverse Transforms, and Applications

Analyzing Wave Propagation in Helical Waveguides Using Laplace, Fourier, and Their Inverse Transforms, and Applications

Infrared Wave Propagation in a Helical Waveguide With Inhomogeneous Cross Section and Applications

Helical Waveguide With Two Bendings, and Applications

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