Scattering of Dipole Field by a Perfect Electromagnetic Conductor Cylinder

Illahi, Ahsan; Afzaal, Muhammad; Naqvi, Qaisar Abbas

doi:10.2528/pierl08051601

Cited by 23 publications

(23 citation statements)

References 18 publications

(36 reference statements)

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“…Retaining only the higher-order powers of k n ρ [21][22][23] in (39) and (41), and introducing the asymptotic forms of the modified Bessel functions for large arguments [24, 8.451]…”

Section: Theorymentioning

confidence: 99%

Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space

Parise¹

2010

PIER B

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Abstract-A rigorous analytical procedure is developed that allows the exact evaluation of the complete integral representations for the time-harmonic electromagnetic (EM) field components generated by a vertical magnetic dipole (VMD) lying on the surface of a flat and homogeneous lossy half-space. Closed-form expressions for the radial distributions of the EM field components induced on the surface of the half-space are provided in terms of exponential functions and modified Bessel functions. Such expressions make it possible to overcome the limitations implied by the previously published quasi-static solutions, which are valid only in the low-frequency range. Numerical results are presented to show where the quasi-static approximations deviate from the exact solutions for a given homogeneous medium as frequency is changed. The computed amplitude and phase frequency spectra of the EM field components demonstrate that the quasi-static approach produces inaccurate results at frequencies higher than 1 MHz, and that, in particular, it leads to underestimating the EM field strength. Finally, it is also shown that at a frequency equal to or greater than 10 MHz excellent results in terms of accuracy may be obtained by using the high-frequency asymptotic forms of the exact solutions.

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“…Retaining only the higher-order powers of k n ρ [21][22][23] in (39) and (41), and introducing the asymptotic forms of the modified Bessel functions for large arguments [24, 8.451]…”

Section: Theorymentioning

confidence: 99%

Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space

Parise¹

2010

PIER B

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“…The electromagnetic scattering by canonical physical objects is important in many applications [1][2][3][4][5][6][7][8]. For the case of dielectric cylinder with finite length, an exact analytical solution is still elusive, and several approximation approaches have been proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Characterization of the Validity Region of the Extended T-Matrix Method for Scattering From Dielectric Cylinders With Finite Length

Yan¹,

et al. 2009

PIER

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Abstract-The T-matrix approach is effective in analyzing electromagnetic scattering from finite scatterers. Yet for scatterers with extreme geometry, this approach may fail. One example is its inability to analyze scattering from dielectric cylinders with large aspect ratios. To deal with such difficulty, recently we proposed a method based on an extension of the T-matrix approach, where a long cylinder is hypothetically divided into a cluster of identical sub-cylinders, for each the T matrix can be numerically stably calculated. Special care was paid to fulfill the boundary conditions at the hypothetic surface of any two neighboring sub-cylinders. The resultant coupled equations are different from that of multi-scatterer theory. The model results were in good agreement with experiment data available in the literature. However, the validity region of the proposed method was not fully characterized. Now we have developed and validated a method of moment (MoM) code, and are in a position to carry on the task of characterizing the validity region. The proposed method is found to be applicable to dielectric cylinders of arbitrary length as long as the T matrix is attainable for the elementary sub-cylinder. The conditions for the T matrix to be numerically stably calculated in terms of the equivalent volumetric radius and relative dielectric constant are also empirically obtained.

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“…PEMC material introduced by Lindell and Shivola [22] attracted the attention of many researchers [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…Many other scientists explored the important properties of PEMC material in [36][37][38][39][40][41]. PEMC material is the generalization of PEC and PMC materials, and boundary conditions are…”

Section: Introductionmentioning

confidence: 99%

Cylindrical Invisibility Cloak Incorporating Pemc at Perturbed Void Region

Shahzad¹,

Qasim²,

Ahmed³

et al. 2011

PIER M

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Abstract-A cylindrical wave expansion method is used to obtain the scattering field for a two dimensional cylindrical invisibility cloak incorporating perfect electromagnetic conductor (PEMC) at perturbed void region. A near-ideal model of the invisibility cloak is set up to solve the boundary-value problem at the inner boundary of the cloak shell. It is confirmed that a cloak with the ideal material is a perfect cloak by observing the change of the scattering coefficients from the near-ideal case to the ideal one. However, because of the slow convergence of the zeroth-order scattering coefficients, a tiny perturbation on the cloak would induce a noticeable field scattering. A better convergence rate of the scattering coefficients has been observed for decreasing δ in PEMC case.

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Scattering of Dipole Field by a Perfect Electromagnetic Conductor Cylinder

Abstract: Scattering of dipole field by a perfect electromagnetic conductor (PEMC) cylinder is studied theoretically. Electric dipole and magnetic dipole are considered separately as source of excitation. Plots are given for different values of admittance parameter of the PEMC cylinder.

Cited by 23 publications

References 18 publications

Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space

Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space

Characterization of the Validity Region of the Extended T-Matrix Method for Scattering From Dielectric Cylinders With Finite Length

Cylindrical Invisibility Cloak Incorporating Pemc at Perturbed Void Region

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