Open Access Open Access  Restricted Access Subscription or Fee Access

Useful Solutions for the Plane Wave Diffraction by a Configuration of Dielectric and Metallic Acute-Angled Wedges

Marcello Frongillo(1), Gianluca Gennarelli(2), Giovanni Riccio(3*)

(1) Railway-Research srl, Italy
(2) Institute for Electromagnetic Sensing of the Environment, Italy
(3) D.I.E.M. - University of Salerno, Italy
(*) Corresponding author


DOI: https://doi.org/10.15866/irecap.v10i2.18431

Abstract


The plane wave diffraction by a two-dimensional composite wedge is considered and solutions in the high-frequency framework as well as in the time domain are proposed by using a well-assessed theoretical approach. The considered structure is surrounded by the free space and composed of two acute-angled infinite wedges: a lossless dielectric wedge surmounts a metallic wedge. Accordingly, the observation domain consists of the free space and the dielectric region. For each observation sub-domain, the high-frequency diffracted field is evaluated by implementing an analytical procedure that is based on the physical optics approximation of the involved surface currents, i.e., the electric and magnetic equivalent current densities over the free space / dielectric boundary and the electric surface current over the metallic faces. Such current densities are the sources of the scattered electric field in the considered sub-domain. Useful approximations and integral evaluations permit to apply an asymptotic technique to the corresponding radiation integral in order to extract the diffraction contribution. The expressions of the associated diffraction coefficients can be used in the context of the uniform geometrical theory of diffraction and are easy to compute. Then the time domain counterparts are determined by applying the inverse Laplace transform and their expressions are in simple closed form, too. At the best of the authors’ knowledge, other time domain solutions are unavailable in literature and this makes the results of this work even more interesting. The validation by means of an appreciated full-wave numerical technique enhances the importance of the proposal.
Copyright © 2020 Praise Worthy Prize - All rights reserved.

Keywords


Composite Wedge; Diffraction; Frequency Domain Analysis; Time Domain Analysis

Full Text:

PDF


References


R.G. Kouyoumjian, P.H. Pathak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. IEEE, Volume 62, 1974, Pages 1448–1461.
https://doi.org/10.1109/proc.1974.9651

E.N. Vasilev, V.V. Solodukhov, Diffraction of electromagnetic waves by a dielectric wedge, Radiophysics and Quantum Electronics, Volume 17, 1976, Pages 1161-1169.
https://doi.org/10.1007/bf01036512

E.N. Vasilev, V.V. Solodukhov, A.I. Fedorenko, The Integral Equation Method in the Problem of Electromagnetic Waves Diffraction by Complex Bodies, Electromagnetics, Volume 11, 1991, Pages 161-182.
https://doi.org/10.1080/02726349108908271

S. Berntsen, Diffraction of an electric polarized wave by a dielectric wedge, SIAM J. Appl. Math., Volume 43, 1983, Pages 186-211.
https://doi.org/10.1137/0143013

A.D. Rawlins, Diffraction by, or diffusion into, a penetrable wedge, Proc. R. Soc. Lond. A, Volume 455, 1999, Pages 2655-2686.
https://doi.org/10.1098/rspa.1999.0421

R.E. Burge et al., Microwave scattering from dielectric wedges with planar surfaces: a diffraction coefficient based on a physical optics version of GTD, IEEE Trans. Antennas Propag., Volume 47, 1999, Pages 1515-1527.
https://doi.org/10.1109/8.805894

J.F. Rouviere, N. Douchin, P.F. Combes, Diffraction by lossy dielectric wedges using both heuristic UTD formulations and FDTD, IEEE Trans. Antennas Propag., Volume 47, 1999, Pages 1702-1708.
https://doi.org/10.1109/8.814950

S.Y. Kim, J.W. Ra, S.Y. Shin, Diffraction by an arbitrary-angled dielectric wedge: part I – physical optics approximation, IEEE Trans. Antennas Propag., Volume 39, 1991, Pages 1272-1281.
https://doi.org/10.1109/8.99035

S.Y. Kim, J.W. Ra, and S.Y. Shin, Diffraction by an arbitrary-angled dielectric wedge: part II – correction to physical optics solution, IEEE Trans. Antennas Propagat., vol. 39, pp. 1282-1292, 1991.
https://doi.org/10.1109/8.99036

C.H. Seo, J.W. Ra, Plane wave scattering by a lossy dielectric wedge, Microwave Opt. Technol. Lett., Volume 25, 2000, Pages 360-363.
https://doi.org/10.1002/(sici)1098-2760(20000605)25:5<360::aid-mop19>3.0.co;2-i

P. Bernardi, R. Cicchetti, O. Testa, A three-dimensional UTD heuristic diffraction coefficient for complex penetrable wedges, IEEE Trans. Antennas Propag., Volume 50, 2002, Pages 217-224.
https://doi.org/10.1109/8.997998

M.A. Salem, A.H. Kamel, A.V. Osipov, Electromagnetic fields in presence of an infinite dielectric wedge, Proc. R. Soc. Lond. A, Volume 462, 2006, Pages 2503-2522.
https://doi.org/10.1098/rspa.2006.1691

V. Daniele, G. Lombardi, The Wiener-Hopf solution of the isotropic penetrable wedge problem: diffraction and total field, IEEE Trans. Antennas Propag., Volume 59, 2011, Pages 3797-3818.
https://doi.org/10.1109/tap.2011.2163780

B. Budaev, Diffraction by Wedges (London: Longman Scient, 1995).

G. Gennarelli, G. Riccio, A uniform asymptotic solution for the diffraction by a right-angled dielectric wedge, IEEE Trans. Antennas Propag., Volume 59, 2011, Pages 898-903.
https://doi.org/10.1109/tap.2010.2103031

G. Gennarelli, G. Riccio, Plane wave diffraction by an obtuse-angled dielectric wedge, J. Opt. Soc. Am. A, Volume 28, 2011, Pages 627-632.
https://doi.org/10.1364/josaa.28.000627

G. Gennarelli, M. Frongillo, G. Riccio, High-frequency evaluation of the field inside and outside an acute-angled dielectric wedge, IEEE Trans. Antennas Propag., Volume 63, 2015, Pages 374-378.
https://doi.org/10.1109/tap.2014.2364305

M. Frongillo, G. Gennarelli, G. Riccio, Plane wave diffraction by arbitrary-angled lossless wedges: high-frequency and time-domain solutions, IEEE Trans. Antennas Propag., Volume 66, 2018, Pages 6646-6653.
https://doi.org/10.1109/tap.2018.2876602

G. Gennarelli, G. Riccio, Diffraction by 90° penetrable wedges with finite conductivity, J. Opt. Soc. Am. A, Volume 31, 2014, Pages 21-25.
https://doi.org/10.1364/josaa.31.000021

G. Gennarelli, G. Riccio, Time domain diffraction by a right-angled penetrable wedge, IEEE Trans. Antennas Propag., Volume 60, 2012, Pages 2829-2833.
https://doi.org/10.1109/tap.2012.2194668

G. Gennarelli, G. Riccio, Obtuse-angled penetrable wedges: a time domain solution for the diffraction coefficients, J. Electromagn. Waves Appl., Volume 27, 2013, Pages 2020–2028.
https://doi.org/10.1080/09205071.2013.831327

M. Frongillo, G. Gennarelli, G. Riccio, TD-UAPO diffracted field evaluation for penetrable wedges with acute apex angle, J. Opt. Soc. Am. A, Volume 32, 2015, Pages 1271-1275.
https://doi.org/10.1364/josaa.32.001271

M. Frongillo, G. Gennarelli, G. Riccio, Diffraction by a structure composed of metallic and dielectric 90° blocks, IEEE Antennas Wireless Propagation Lett., Volume 17, 2018, Pages 881-885.
https://doi.org/10.1109/lawp.2018.2820738

A.J. Booysen, C.W.I. Pistorius, Electromagnetic scattering by a two-dimensional wedge composed of conductor and lossless dielectric, IEEE Trans. Antennas Propag., Volume 40, 1992, Pages 383-390.
https://doi.org/10.1109/8.138839

S.-Y. Kim, Hidden rays of diffraction, IEEE Trans. Antennas Propag., Volume 55, 2007, Pages 892-906.
https://doi.org/10.1109/tap.2007.891859

S.-Y. Kim, H-polarized diffraction coefficients of a composite wedge composed of a perfect conductor and a lossy dielectric, IEEE Trans. Antennas Propag., Volume 60, 2012, Pages 2126-2128.
https://doi.org/10.1109/tap.2012.2186238

Geok, T., Hossain, F., Kamaruddin, M., Abd Rahman, N., Thiagarajah, S., Tan Wee Chiat, A., Hossen, J., Liew, C., A Comprehensive Review of Efficient Ray-Tracing Techniques for Wireless Communication, (2018) International Journal on Communications Antenna and Propagation (IRECAP), 8 (2), pp. 123-136.
https://doi.org/10.15866/irecap.v8i2.13797

G. Riccio, Uniform Asymptotic Physical Optics solutions for a set of diffraction problems, in Wave Propagation in Materials for Modern Applications (Intech, 2010, Pages 33-54).
https://doi.org/10.5772/6844

T.W. Veruttipong, Time domain version of the uniform GTD, IEEE Trans. Antennas Propag., Volume 38, 1990, Pages 1757-1764.
https://doi.org/10.1109/8.102736


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2022 Praise Worthy Prize