Comparison of purely scattering finite difference method for the two-dimensional TM wave with the analytical solution

• Autorzy: Domański G. , Konarzewski B. , Kurjata R. , Zaremba K. , Marzec J. , Ziembicki M. , Rychter A. , Piątkowska-Janko E. , Bogorodzki P.

Identyfikatory

DOI

10.15199/13.2018.12.18

Warianty tytułu

PL

Porównanie czysto rozproszeniowej metody różnic skończonych dla dwuwymiarowej fali TM z rozwiązaniem analitycznym

• Języki publikacji: EN

Abstrakty

EN

This paper presents a comparison of purely scattering method of the finite-difference time-domain with the analytical solution for the case of two-dimensional TM wave and the object in the form of a cylinder made either from an ideal conductor or a dielectric material. The total scattering cross-section of the electromagnetic wave is calculated without transition from the near field to the far field. A simple algorithm for calculating wave power distributed on the control surface is presented. The dependence of the relative error of the scattering efficiency factor in the function of the number of iterations is shown for various values of scattering object diameter to wavelength ratios. The influence of relative dielectric constant of cylinder material on scattering efficiency coefficient is examined.

PL

Artykuł przedstawia porównanie czysto rozproszeniowej metody różnic skończonych z rozwiązaniem analitycznym dla przypadku dwuwymiarowej fali TM i obiektu w postaci cylindra wykonanego z idealnego przewodnika lub dielektryka. Całkowity przekrój dla fali elektromagnetycznej obliczono bez przejścia z pola bliskiego na dalekie. Przedstawiono prosty algorytm obliczania rozkładu mocy fali na powierzchni kontrolnej. Zależność błędu względnego wydajności rozpraszania w funkcji liczby iteracji została przedstawiona dla różnych wartości stosunku średnicy obiektu rozpraszającego do długości fali. Zbadano wpływ względnej przenikalności dielektrycznej materiału cylindra na współczynnik wydajności rozpraszania.

Słowa kluczowe

EN

computational electromagnetics; finite difference method; Maxwell equations; numerical analysis; microwave propagation

PL

obliczeniowy elektromagnetyzm; metoda różnic skończonych; równania Maxwella; analiza numeryczna; propagacja mikrofal

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Elektronika : konstrukcje, technologie, zastosowania
• Rocznik: 2018
• Tom: Vol. 59, nr 12
• Strony: 78--83
• Opis fizyczny: Bibliogr. 21 poz., wykr.

Twórcy

autor

Domański G.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Konarzewski B.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Kurjata R.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Zaremba K.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Marzec J.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Ziembicki M.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Rychter A.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Piątkowska-Janko E.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

autor

Bogorodzki P.

• Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Nowowiejska 15/19, 00-665 Warsaw, Poland

Bibliografia

• [1] R. Bansal ed., (2006) “Engineering Electromagnetics Applications", CRC Taylor and Francis Group, Boca Raton, pp.161-175.
• [2] N. A. Abu-Zaid and H. Tosun, (2002) “Finite element analysis of two-dimensional EM scattering via Pade´ approximation for complex permittivity", Radio Science, vol. 37, issue: 1, pp. 12-1 - 12-5, DOI: 10.1029/2000RS002614.
• [3] C. Girard, A.Zugari, and N. Raveu, (2013) “2D FDTLM hybridization with modal method", Progress In Electromagnetics Research B, vol. 55, pp. 23-44, DOI: 10.2528/PIERB13060311.
• [4] J. Jin, and J. L. Volakis, (1991) “A Hybrid Finite Element Method for Scattering and Radiation by Microstrip Patch Antennas and Arrays Residing in a Cavity", IEEE Transactions on Antennas and Propagation, vol. 39, issue: 11, pp. 1598-1604, DOI: 10.1109/8.102775.
• [5] J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, (2007) “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies", Proceedings of the IEEE, vol.95, issue: 8, pp. 1624-1620, DOI: 10.1109/ JPROC.2007.898817.
• [6] H. Jin, and R. Vahldieck, (1992) “The Frequency-Domain Transmission Line Matrix Method-A New Concept", IEEE Transactions on Microwave Theory and Techniques, vol. 40, issue: 12, pp. 2207-2218, DOI: 10.1109/22.179882.
• [7] H. Jin, and R. Vahldieck, (1993) “Full-Wave Analysis of Coplanar Waveguide Discontinuities using the Frequency Domain TLM Method", IEEE Transactions on Microwave Theory and Techniques, vol. 41, issue: 9, pp. 1538-1542, DOI: 10.1109/22.245674.
• [8] Z. Ji, T. K. Sarkar, B. H. Jung, Y. S. Chung, M. Salazar-Palma, and M. Yuan, (2004) “A Stable Solution of Time Domain Electric Field Integral Equation for Thin-Wire Antennas using the Laguerre Polynomials," IEEE Trans. Antennas Propag., vol. 52, issue: 10, pp. 2641-2649, DOI: 10.1109/TAP.2004.834437.
• [9] D. P. Bouche, F. A. Molinet, and R. Mittra, (1993) “Asymptotic and hybrid techniques for electromagnetic scattering", Proc. IEEE, vol. 81, issue: 12, pp. 1658-1684, DOI: 10.1109/5.248956.
• [10] M. N. Miskiewicz, S. Schmidt, and M. J. Escuti, (2014) “A 2D FDTD Algorithm for Whole-Hemisphere Incidence on Periodic Media", IEEE Transactions on Antennas and Propagation, vol. 62, issue: 3, pp. 1348-1353, DOI: 10.1109/TAP.2013.2296302.
• [11] K. Yee, (1966) “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media", IEEE Trans. Antenn. Propagat., vol. AP-14, pp. 302-307, DOI: 10.1109/TAP.1966.1138693.
• [12] D. M. Sullivan, (1996) “Exceeding the courant condition with the fdtd method", IEEE Microwave and Guided Wave Letters, vol. 6, issue: 8, pp. 289-291, DOI: 10.1109/75.508556.
• [13] J. Berenger, (1994) “A perfectly matched layer for the abosrption of electromagnetic waves", J. Computational Phys., vol. 114, pp. 185-200, DOI: 10.1006/jcph.1994.1159.
• [14] S. Winton and C. Rappaport, (2000) “Specifying the pml conductivities by considering numerical reflection dependencies", IEEE Transactions on Antennas and Propagation, vol. 48, issue: 7, pp. 1005-1063, DOI: 10.1109/8.876324.
• [15] G. Lazzi and O. P. Gandhi, (1997) “On the Optimal Design of the PML Absorbing Boundary Condition for the FDTD Code", IEEE Transactions on Antennas and Propagation, vol. 45, issue: 5, pp. 914-917, DOI: 10.1109/8.575651.
• [16] J. Fang, and Z. Wu, (1996) “Closed-Form Expression of Numerical Reflection Coefficient at PML Interfaces and Optimization of PML Performance", IEEE Microvawe and Guided Wave Letters, Vol. 6, issue: 9, pp. 332-334, DOI: 10.1109/75.535836.
• [17] J. De Moerloose and M. Stuchly, (1996) “An efficient way to compare ABC’s", Antennas Propagat. Mag., vol. 38, issue: 1, pp. 71-75, DOI: 10.1109/74.491299.
• [18] R. Ruppin, (2006) “Scattering of Electromagnetic Radiation by a Perfect Electromagnetic Conductor Cylinder", Journal of Electromagnetic Waves and Applications, vol. 20, issue: 13, pp. 1853-1860, DOI: 10.1163/156939306779292219.
• [19] D. S. Hardin, (2001) “Learning Java", IEEE Instrumentation & Measurement Magazine, vol. 4, issue: 2, pp. 40-48, DOI: 10.1109/MIM.2001.930985.
• [20] G. L. Hower, r. G. Olsen, J. D. Earls, and J.B. Schneider, (1993) “Inaccuracies in Numerical Calculation of Scattering near Natural Frequencies of Penetrable Objects", IEEE Transaction on Antennas and Propagation, vol 41, issue: 7, pp. 982-986, DOI: 10.1109/8.237632.
• [21] B. W. Salski, M. Celuch, W. Gwarek, (2010) "FDTD for Nanoscale and Optical Problems", IEEE Microwave Magazine, vol. 11, issue 2, pp. 50-59, DOI: 10.1109/MMM.2010.935777.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).