Analysis of a Three-Dimensional Arbitrarily Shaped Dielectric or Biological Body Inside a Rectangular Waveguide

Wang, J.J.H.

doi:10.1109/tmtt.1978.1129416

Cited by 47 publications

(11 citation statements)

References 7 publications

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“…The source element can be oriented along any direction, thus allowing to solve three‐dimensional current problems. In the spectral domain, the dyadic electric and magnetic Green's functions are expressed in terms of the normalized electric and magnetic TE and TM vector modal functions, as follows [ Felsen and Marcuvitz , 1994; Wang , 1978; Rahmat‐Samii , 1975; Deshpande , 1997]

\begin{matrix} left \\ left {\overset{G}{true}}_{e} ((), boldr, {boldr}^{'}, ω) = - \frac{1}{2} true \sum_{m} Z_{m}^{TM} {bolde}_{m}^{italicTM} (r_{t}) {bolde}_{m}^{italicTM} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left - \frac{1}{2} true \sum_{m} Z_{m}^{TE} {bolde}_{m}^{italicTE} (r_{t}) {bolde}_{m}^{italicTE} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left - \frac{u ((), z - z^{'})}{i 2 ω ε_{0}} true \sum_{m} k_{t_{m}}^{2} {normalΦ}_{m}^{italicTM} (r_{t}) \overset{z}{true} {bolde}_{m}^{italicTM} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left + \frac{u ((), z - z^{'})}{i 2 ω ε_{0}} true \sum_{m} k_{t_{m}}^{2} {bolde}_{m}^{italic...} \end{matrix}

…”

Section: Theorymentioning

confidence: 99%

Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross‐section waveguide using frequency domain Green's functions

Nogales¹,

Marini²,

Martínez³

et al. 2012

Radio Science

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[1] A technique for the accurate computation of the time domain electromagnetic fields radiated by a charged distribution traveling along an arbitrarily shaped waveguide region is presented. Based on the transformation (by means of the standard Fourier analysis) of the time-varying current density of the analyzed problem to the frequency domain, the resulting equivalent current is further convolved with the dyadic electric and magnetic Green's functions. Moreover, we show that only the evaluation of the transverse magnetic modes of the structure is required for the calculation of fields radiated by particles traveling in the axial direction. Finally, frequency domain electric and magnetic fields are transformed back to the time domain, just obtaining the total fields radiated by the charged distribution. Furthermore, we present a method for the computation of the wakefields of arbitrary cross-section uniform waveguides from the resulting field expressions. Several examples of charged particles moving in the axial direction of such waveguides are included.

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\begin{matrix} left \\ left {\overset{G}{true}}_{e} ((), boldr, {boldr}^{'}, ω) = - \frac{1}{2} true \sum_{m} Z_{m}^{TM} {bolde}_{m}^{italicTM} (r_{t}) {bolde}_{m}^{italicTM} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left - \frac{1}{2} true \sum_{m} Z_{m}^{TE} {bolde}_{m}^{italicTE} (r_{t}) {bolde}_{m}^{italicTE} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left - \frac{u ((), z - z^{'})}{i 2 ω ε_{0}} true \sum_{m} k_{t_{m}}^{2} {normalΦ}_{m}^{italicTM} (r_{t}) \overset{z}{true} {bolde}_{m}^{italicTM} ({r^{'}}_{t}) e^{- i k_{z_{m}} |z - z^{'}|} \\ left + \frac{u ((), z - z^{'})}{i 2 ω ε_{0}} true \sum_{m} k_{t_{m}}^{2} {bolde}_{m}^{italic...} \end{matrix}

…”

Section: Theorymentioning

confidence: 99%

Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross‐section waveguide using frequency domain Green's functions

Nogales¹,

Marini²,

Martínez³

et al. 2012

Radio Science

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“…Substituting (8) into 7, upon Galerkin's testing, we obtain the linear system (11) where (12) are the elements of the excitation vector , and is the column of unknown current coefficients . As usual, is the impedance matrix whose entries are given by (13) Note that (11) involves the currents over the whole scatterer (see Fig. 1) covering the entire angular domain .…”

Section: Setup For Perfectly Conducting Scatterersmentioning

confidence: 99%

“…Using the volume equivalence principle, it can be shown that the integral equation for the current can be written as [13] (38)…”

Section: Extension To Dielectric Scatterersmentioning

confidence: 99%

Integral equation modeling of cylindrically periodic scatterers in the interior of a cylindrical waveguide

Anastassiu

Volakis

Filipović

1998

IEEE Trans. Microwave Theory Techn.

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“…The restoration of the electrophysical parameters of inhomogeneities distinguishable in the transmission line with cavities, such as a waveguide is the main requirement of the work. The basis of this study, including the use of numerical methods of electrodynamics is described [1]. The generalized methodology must be verified, due to the lack of uniqueness of the solution when using numerical methods, as well as to conduct modeling with controlled accuracy.…”

Section: Introductionmentioning

confidence: 99%

Verified simulation of waveguide inhomogeneities in Keysight EMPro 2017 software

Zeyde¹,

Зейде²

2018

UREJ

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In this paper numerical simulation of inhomogeneities in rectangular and circular waveguides at microwave, using the finite element method in Keysight EMPro 2017 CAD, with experimental data verification are considered. A sphere is used as a typical heterogeneity. Four samples of materials are considered: copper, paraffin, acrylic resin and texolite. A description is given for the modeling the electrophysical parameters of these materials in a computer-aided design system. A comparison of numerical and experimental data for a rectangular waveguide is made. The selected materials are of primary concern for the study and demonstrate various electrophysical parameters.

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Analysis of a Three-Dimensional Arbitrarily Shaped Dielectric or Biological Body Inside a Rectangular Waveguide

Cited by 47 publications

References 7 publications

Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross‐section waveguide using frequency domain Green's functions

Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross‐section waveguide using frequency domain Green's functions

Integral equation modeling of cylindrically periodic scatterers in the interior of a cylindrical waveguide

Verified simulation of waveguide inhomogeneities in Keysight EMPro 2017 software

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