The Dyadic Green's Functions for Cylindrical Waveguides and Cavities

Kisliuk, M.

doi:10.1109/tmtt.1980.1130188

Cited by 38 publications

(6 citation statements)

References 5 publications

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“…An analytic solution of electromagnetic-wave propagation in a rectangular waveguide has been investigated in terms of DGFs by Li et al [13]. Kisliuk and Moshe also presented electric and magnetic fields generated by a given distribution of electric and magnetic currents in cylindrical waveguides [14]. Meanwhile, DGFs can also be used to analyze the scattering problems of complex geometric structures.…”

Section: Introductionmentioning

confidence: 99%

Dyadic Green’s Function and the Application of Two-Layer Model

Gu¹,

Shi²,

Zhang³

et al. 2020

Mathematics

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Dyadic Green’s function (DGF) is a powerful and elegant way of solving electromagnetic problems in the multilayered media. In this paper, we introduce the electric and magnetic DGFs in free space, respectively. Furthermore, the symmetry of different kinds of DGFs is proved. This paper focuses on the application of DGF in a two-layer model. By introducing the universal form of the vector wave functions in space rectangular, cylindrical and spherical coordinates, the corresponding DGFs are obtained. We derive the concise and explicit formulas for the electric fields represented by a vertical electric dipole source. It is expected that the proposed DGF can be extended to some more electric field problem in the two-layer model.

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Section: Introductionmentioning

confidence: 99%

Dyadic Green’s Function and the Application of Two-Layer Model

Gu¹,

Shi²,

Zhang³

et al. 2020

Mathematics

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“…In analyzing these problems, one often uses the dyadic Green's functions (DGFs) for curved waveguides and cavities [ Fan , 1995; Bates , 1969; Mittra , 1972]. Although many expressions of DGFs have been derived for various straight waveguides and cavities [ Collin , 1960; Tai , 1994; Rahmat‐Samii , 1975; Tai and Rozenfeld , 1976; Wang , 1978, 1982; Kisliuk , 1980; Daniele , 1982; Pathak , 1983; Yang , 1992; Li et al , 1995], to our knowledge, no expressions of DGFs for curved waveguides and cavities are available in literature.…”

Section: Introductionmentioning

confidence: 99%

Dyadic Green's functions for curved waveguides and cavities and their reformulation

Fan

Liu

2002

Radio Science

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[1] Dyadic Green's functions (DGFs) for continuously curved waveguides are important for the feeding and radiation problems of cylindrically conformal slotted-waveguide arrays. The major difficulty in the construction of these DGFs in curved waveguides and cavities is that there are no entire-domain TE or TM modes with respect to the curving direction, while the longitudinal-section electric (LSE) and magnetic (LSM) modes do not have the complete orthogonality in terms of the dot product as required by the conventional Ohm-Rayleigh method as practiced in literature. Therefore, the conventional Ohm-Rayleigh method for constructing DGFs is not applicable to curved waveguides. In this work, the DGFs are constructed with the help of the Lorentz reciprocity theorem and the mode orthogonality based on the concept of power flow, and by adding the source singularity terms. To reduce the orders of singularity of DGFs in their application to waveguide walls, the common form of DGFs is then reformulated into a form convenient for numerical computation by both forward and backward derivation procedures. Finally, a general procedure is proposed for the reformulation of DGFs for common types of waveguides. The DGFs derived are applicable to problems with curved waveguide junctions, and coupling and radiating slots for conformal slotted-waveguide antennas.

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“…However, a compact and general analysis may be obtained by using dyadic Green's functions. In this method, the eigenfunction expansion of the dyadic introduced by Hansen [1935] and was later used for the analysis of wave propagation in waveguides, resonant cavities, and semi-infinite or layered media [Stratton, 1941;Morse and Feshbach, 1953;Tai, 1971;Rahmat-Samii, 1975;Kisliuk, 1980]. To the authors' knowledge there has been no general formulation for solving the problem of the electromagnetic wave propagation in dielectric media with N layers using the eigenfunction expansion.…”

Section: Introductionmentioning

confidence: 99%

Analysis of electromagnetic wave propagation in multilayered media using dyadic Green's functions

Cavalcante¹,

Rogers²,

Giarola³

1982

Radio Science

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The propagation of electromagnetic waves in media with various horizontal layers has been analyzed. The electromagnetic fields outside the source region were obtained from the dyadic Green's functions for the case of media with three and four layers and for horizontal and vertical electric dipoles. These results agree with those obtained using Hertz potentials. One of the major results is a generalization of the dyadic Green's functions for solving the problem of media with N horizontal layers.

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The Dyadic Green's Functions for Cylindrical Waveguides and Cavities

Cited by 38 publications

References 5 publications

Dyadic Green’s Function and the Application of Two-Layer Model

Dyadic Green’s Function and the Application of Two-Layer Model

Dyadic Green's functions for curved waveguides and cavities and their reformulation

Analysis of electromagnetic wave propagation in multilayered media using dyadic Green's functions

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