Alternative formulations of electric dyadic green's functions of the first and second kinds for an infinite rectangular waveguide with a load

Li, Le‐Wei; Kooi, P.S.; Leong, Mook‐Seng; Yeo, Tat‐Soon

doi:10.1002/mop.4650080213

Cited by 9 publications

(3 citation statements)

References 4 publications

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“…Looking backwards, we can easily find that the dyadic Green's functions in isotropic media have been well-documented by Tai [1], Collin [2], Chew [5], Cavalcante [6], Pathak [7], Pearson [8], Li et al [9][10][11][12][13][14][15][16] using the vector wave functions. For anisotropic media, Kong [17,18], Ali and Mahmoud [19], Lee and Kong [20][21][22], Krowne [23,24], Monzon [25], Oldano [26], Habashy et al [27], Kaklamani and Uzunogla [28], Ren [29], Weiglhofer and Lindell [30], Lindell [31], and Cheng and Ren [32] have derived various formulas of dyadic Green's functions using (1) the Fourier transform technique, (2) the method of angular spectrum expansion, and (3) the transmission matrix method.…”

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confidence: 84%

Dyadic Green's Functions in Multilayered Stratified Gyroelectric Chiral Media

Li¹,

Yeap²,

Leong³

et al. 2002

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To characterize electromagnetic waves in complex media has been an important topic because of its useful applications and scientific significance of its physical mechanism. Dyadic Green's functions, as a mathematical kernel or a dielectric medium response, relate directly the radiated electromagnetic fields and the source distribution. In terms of the vector wave functions in cylindrical coordinates, dyadic Green's functions in a unbounded and a planar, multilayered gyroelectric chiral media are formulated. By use of the scattering superposition principle and taking the multiple reflections into account, a general representation of the Green's dyadics is obtained. Furthermore, the scattering coefficients of the Green's dyadics are determined from the boundary conditions at each interface and are expressed in a greatly compact form of recurrence matrices. In the formulation of the Green's dyadics and their scattering coefficients, three cases are considered, i.e., the current source is impressed in (1) the first, (2) the intermediate, and (3) the last regions, respectively. Although the dyadic Green's functions for a unbounded gyroelectric chiral medium has been reported in the literature, some of the results are incorrect. As compared to the existing results, the current work basically contributes (1) a correct form of dyadic Green's function for a unbounded gyroelectric chiral medium, (2) the general representation of the dyadic Green's functions for a multi-layered gyroelectric chiral medium, and (3) a convincible and direct derivation of the irrotational Green's dyadic.

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confidence: 84%

Dyadic Green's Functions in Multilayered Stratified Gyroelectric Chiral Media

Li¹,

Yeap²,

Leong³

et al. 2002

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“…In the previous works, there is no source included in the analysis of the electromagnetic field in the rectangular cavity [1]. Therefore, the dyadic Green function is used to solve this problem [2][3][4]. In this paper, the investigation of mode distribution for electromagnetic field coupling to inclined rectangular aperture antenna excited by a probe inside cavity and subsequently radiation pattern is presented.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Field Analysis of a Rectangular Aperture Inclined on Open-ended Cavity Fed by Probe

Eardprab¹,

Phongcharoenpanich²

2007

2007 Asia-Pacific Microwave Conference

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This paper presents the electromagnetic-field analysis of a probe inside rectangular aperture inclined on open-ended cavity. The field characteristics of the rectangular aperture primarily depend on the mode distribution of the electromagnetic field inside the structure. In the design, the aperture cross section should be selected to let only specified mode can be propagated. However, when the probe is contained inside the cavity, the discontinuity inside the cavity is occurred that makes the field distribution to be disturbed. Therefore, the mode distribution becomes complex in the vicinity of the probe. The mode distribution is necessary in order to accomplish the accurate results to find the radiation characteristics. The criteria for the mode distributions are first specified to yield efficient field solution. Subsequently, the finite number of the mode summation is determined to achieve the convergent condition. Furthermore, the radiation characteristics are obtained by using the dyadic Green function. The results from this work are significant to further design of this structure in the microwave and millimeter wave devices.

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“…The eigenfunction expansion of the dyadic Green's functions has been well developed and applied over the last several decades [1][2][3][4], despite the ever increasing demand for numerical methods. The vector wave functions have found versatile applications in the formulation of the dyadic Green's functions, as can be seen from the work done [3,[5][6][7][8][9][10][11][12][13][14][15][16]. Although the DGFs in isotropic media have been well-studied in the last three decades, complete formulation of the DGFs in various anisotropic media using the eigenfunction expansion technique has not been achieved so far.…”

Section: Introductionmentioning

confidence: 99%

Eigenfunctional Representation of Dyadic Green's Functions in Cylindrically Multilayered Gyroelectric Chiral Media

Li¹,

Yeap²,

Leong³

et al. 2003

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Abstract-This paper presents an eigenfunction expansion of the electric-type dyadic Green's functions for both a unbounded gyroelectric chiral medium and a cylindrically-multilayered gyroelectric chiral medium in terms of the cylindrical vector wave functions. The unbounded and scattering Green dyadics are formulated based on the principle of scattering superposition for the electromagnetic waves, namely, the direct wave and scattered waves. First, the unbounded dyadic Green's functions are correctly derived and some mistakes occurring in the literature are pointed out. Secondly, the scattering dyadic Green's functions are formulated and their coefficients are obtained from the boundary conditions at each interface. These coefficients are expressed in a compact form of recurrence matrices; coupling between TE and TM modes are considered and various wave modes are decomposed one from another. Finally, three cases, where the impressed current source are located in the first, the intermediate, and the last regions respectively, are taken into account in the mathematical manipulation of the coefficient recurrence matrices for the dyadic Green's functions.

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Alternative formulations of electric dyadic green's functions of the first and second kinds for an infinite rectangular waveguide with a load

Cited by 9 publications

References 4 publications

Dyadic Green's Functions in Multilayered Stratified Gyroelectric Chiral Media

Dyadic Green's Functions in Multilayered Stratified Gyroelectric Chiral Media

Electromagnetic Field Analysis of a Rectangular Aperture Inclined on Open-ended Cavity Fed by Probe

Eigenfunctional Representation of Dyadic Green's Functions in Cylindrically Multilayered Gyroelectric Chiral Media

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