The Integral Equation Method in the Problem of Electromagnetic Waves Diffraction by Complex Bodies

Vasil'ev, E. N.; Solodukhov, V. V.; Fedorenko, A. I.

doi:10.1080/02726349108908271

Cited by 23 publications

(4 citation statements)

References 5 publications

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“…Towards this end, the approach combines the Bayesian compressive sensing (BCS) technique [17] and a deterministic strategy inspired by [7] to design a CRIA with a user-defined number of elements that accurately matches a target pattern radiated by a reference continuous aperture distribution 1 . More specifically, an auxiliary concentric current ring array (CCRA) matching the reference pattern with the minimum number of rings is synthesized by means of a suitable implementation of the BCS technique [17] benefiting of its excellent performances in terms of computational efficiency (i.e., thousands of unknowns determined in few seconds) [17] and enhanced robustness compared to other CS strategies [17] as shown in similar electromagnetic problems [17]- [21]. Finally, the number and the locations of the array elements on each ring of the Copyright of IEEE Transactions on Antennas & Propagation is the property of IEEE and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission.…”

Section: Hybrid Bcs-deterministic Approach For Sparse Concentric Ringmentioning

confidence: 99%

High-Frequency Evaluation of the Field Inside and Outside an Acute-Angled Dielectric Wedge

Gennarelli

Frongillo

Riccio

2015

IEEE Trans. Antennas Propagat.

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Explicit closed form solutions are presented for the high-frequency evaluation of the electromagnetic field produced inside and outside an acute-angled lossless penetrable wedge. Both cases of -and -polarized incident plane waves are addressed in the study. The problem is tackled and solved in the framework of the uniform theory of diffraction, so that the total field at the observation point is determined by adding the geometrical optics contributions and the diffraction one. This last is obtained by performing a uniform asymptotic evaluation of the radiation integrals arising from a physical optics approximation for the equivalent electric and magnetic surface currents lying on the infinite wedge boundaries. No limitation exists on the refractive index of the structure. The accuracy of the solution is assessed by comparisons with data produced by numerical tools. The physical optics approximation gives rise to inaccuracies when using the solution at grazing incidence and in correspondence of the dielectric interfaces.

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Section: Hybrid Bcs-deterministic Approach For Sparse Concentric Ringmentioning

confidence: 99%

High-Frequency Evaluation of the Field Inside and Outside an Acute-Angled Dielectric Wedge

Gennarelli

Frongillo

Riccio

2015

IEEE Trans. Antennas Propagat.

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“…MoM is combined with the geometrical theory of diffraction (GTD) in modeling and simulation of the wedge scattering problem in [18]. Notice also papers [20]- [22], where the PTD concept of fringe waves was utilized to formulate integral equations which can be effectively solved by MoM.…”

Section: Mom Solution Of Fringe Wavesmentioning

confidence: 99%

Wedge Diffracted Waves Excited by a Line Source: Method of Moments (MoM) Modeling of Fringe Waves

Apaydin

Hacıvelioğlu

Sevgi

et al. 2014

IEEE Trans. Antennas Propagat.

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Fig. 6. Effect of the value of on the output rise time of the pulse. is too fast for this FDTD grid.In the FCT case, the rise time of the pulse steepens from 75 ns to approximately 2 ns. In the FDTD case, the rise time steepens to about 20 ns, which is much larger than the value of . Using the standard FDTD update, the effect of different values of on the output rise time of the pulse is shown in Fig. 6.When is 1 ps, the pulse steepens to a rise time on the order of 1 ns, which is too steep for the grid, as shown by the resulting oscillations. The FCT algorithm is needed to remove the oscillations. The FCT algorithm with results in a shock wave that steepens to approximately the limit the grid can support. To model a steeper shock, a more refined grid must be employed. For FDTD and , 3 ps, and 4 ps, the output rise time is approximately 20 ns, 55 ns, and 80 ns, respectively. Since the input rise time is 75 ns, a shock wave is no longer forming when is 4 ps. The value of should be a property of the material being modeled, although measuring the value is apparently challenging because the rise time of a shock in the material differs greatly from the value of . IV. CONCLUSIONAn algorithm is presented for modeling non-linear ferro-electrics in FDTD. A polynomial fit is applied to the versus curve, and finite material response time can be modeled. If the material response time is sufficiently fast, very steep shock wave form, resulting in spurious grid oscillations. The flux corrected transport algorithm effectively removes these oscillations. Numerical results show the utility of the algorithm. ACKNOWLEDGMENTThe authors appreciate Dr. J. Hammond for editing the text and suggesting compact notation for equations. REFERENCES[1] R. E. Peterkin and J. W. Luginsland, "A virtual prototyping environment for directed-energy concepts," Comp. A. Muliana, "Time dependent behavior of ferroelectric materials undergoing changes in their material properties with electric field and temperature," Int. A new finite-difference time-domain algorithm for the accurate modeling of wide-band electromagnetic phenomena," IEEE Trans. Electromagn. Compat., vol. 35, pp. 215-222, 1993. [8] R. M. Joseph and A. Taflove, "FDTD Maxwell's equations models for nonlinear electrodynamics and optics," IEEE Trans. Antennas Propag., vol. 45, pp. 364-374, 1997. [9] M. M. Aziz, "Sub-nonosecond electromagnetic-micromagnetic dynamic simulations using the finite-difference time-domain method," Abstract-Method of moments (MoM) simulation of fringe waves generated by a line source that excites a perfectly reflecting wedge is introduced and compared with the exact physical theory of diffraction (PTD) fringe waves.Index Terms-Fringe wave, line source, physical optics (PO), physical theory of diffraction (PTD), method of moments (MoM), uniform currents, non-uniform currents, wedge.

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“…Some existing methods provide analytical and heuristic approximate solutions under certain assumptions, others try to solve the problem in an exact sense combining analytical and numerical techniques that often limit the computation efficiency and applicability of the approach. Representative results in the frequency domain can be found in [7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Diffraction by a Dielectric Wedge on a Ground Plane

Frongillo¹,

Gennarelli²,

Riccio³

2019

PIER M

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The plane wave diffraction by an acute-angled wedge located on a perfect electric conducting plane is studied in the frequency and time domains. Only a TMz polarization is explicitly considered in the manuscript since the case of a TEz polarization can be solved in a similar way. At first, the uniform asymptotic physical optics approach is used to obtain the diffraction coefficients in the framework of the uniform geometrical theory of diffraction. The analytical procedure allows one to obtain closed form expressions that are easy to handle and provide reliable results from the engineering viewpoint. The time domain diffraction coefficients are successively determined by applying the inverse Laplace transform to the frequency domain counterparts. The effectiveness of the proposed solutions is proved by means of numerical tests and comparisons with full-wave numerical techniques.

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The Integral Equation Method in the Problem of Electromagnetic Waves Diffraction by Complex Bodies

Cited by 23 publications

References 5 publications

High-Frequency Evaluation of the Field Inside and Outside an Acute-Angled Dielectric Wedge

High-Frequency Evaluation of the Field Inside and Outside an Acute-Angled Dielectric Wedge

Wedge Diffracted Waves Excited by a Line Source: Method of Moments (MoM) Modeling of Fringe Waves

Diffraction by a Dielectric Wedge on a Ground Plane

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