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Published in: Journal of Engineering Mathematics 1/2016

13-03-2015

Regularization techniques for the high-frequency electromagnetic field coupling problem with terminated lines

Authors: Massimo Brignone, Federico Delfino, Renato Procopio, Paola Girdinio

Published in: Journal of Engineering Mathematics | Issue 1/2016

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Abstract

The problem of the high-frequency electromagnetic field coupling with a terminated transmission line is formulated and discussed in detail. Existence and uniqueness of the solution of the integro-differential equation describing the model are shown, pointing out, on the contrary, the not continuous dependence on the data. The problem is solved with three regularization methods (Landweber, Tikhonov and Truncated Singular Value Decomposition algorithms), and a comparative analysis is presented taking as reference the numerical results obtained using the Numerical Electromagnetic Code (NEC-2).

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Appendix
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Literature
1.
go back to reference Butler CM, Wilton DR (1976) Efficient numerical techniques for solving Pocklinyiuns equation and their relationships to other methods. IEEE Trans Antennas Propag 24:83868392 Butler CM, Wilton DR (1976) Efficient numerical techniques for solving Pocklinyiuns equation and their relationships to other methods. IEEE Trans Antennas Propag 24:83868392
2.
go back to reference Burke GJ, Poggio AJ (1981) Numerical Electromagnetic Code (NEC)—method of moments. Technical Report, Naval Ocean Systems Center, San Diego Burke GJ, Poggio AJ (1981) Numerical Electromagnetic Code (NEC)—method of moments. Technical Report, Naval Ocean Systems Center, San Diego
3.
go back to reference Desoer CA, Kuh ES (2009) Basic circuit theory. McGraw-Hill Education, New Delhi Desoer CA, Kuh ES (2009) Basic circuit theory. McGraw-Hill Education, New Delhi
4.
go back to reference Larrabee DA (1988) Interaction of an electromagnetic wave with transmission lines, including reradiation. In: 1998 IEEE international symposium on electromagnetic compatibility, 24–28 August 1998, Denver, CO, vol 1, pp 106–111 Larrabee DA (1988) Interaction of an electromagnetic wave with transmission lines, including reradiation. In: 1998 IEEE international symposium on electromagnetic compatibility, 24–28 August 1998, Denver, CO, vol 1, pp 106–111
5.
go back to reference Larrabee DA (1989) Solutions of the transmission line equations modified to include excitation by, and reradiation of, electromagnetic fields. In: 1999 IEEE international symposium on electromagnetic compatibility, 2–6 August 1999, Seattle, WA, vol 1, pp 414–416 Larrabee DA (1989) Solutions of the transmission line equations modified to include excitation by, and reradiation of, electromagnetic fields. In: 1999 IEEE international symposium on electromagnetic compatibility, 2–6 August 1999, Seattle, WA, vol 1, pp 414–416
6.
go back to reference Maffucci A, Miano G, Villone F (2004) An enhanced transmission line model for conducting wires. IEEE Trans Electromagn Compat 46:512–528CrossRef Maffucci A, Miano G, Villone F (2004) An enhanced transmission line model for conducting wires. IEEE Trans Electromagn Compat 46:512–528CrossRef
7.
go back to reference Larrabee DA (1994) Reduced coupling of electromagnetic waves to transmission lines due to radiation effects. In: Progress in electromagnetic research symposium 2004, Pisa, Italy, 28–31 March 2004, pp 389–392 Larrabee DA (1994) Reduced coupling of electromagnetic waves to transmission lines due to radiation effects. In: Progress in electromagnetic research symposium 2004, Pisa, Italy, 28–31 March 2004, pp 389–392
8.
go back to reference Larrabee DA (2003) Limitations of the modified transmission line equations, a comparison with NEC. In: 2003 IEEE international symposium on electromagnetic compatibility, 18–22 August 2003, vol 2, pp 610–615 Larrabee DA (2003) Limitations of the modified transmission line equations, a comparison with NEC. In: 2003 IEEE international symposium on electromagnetic compatibility, 18–22 August 2003, vol 2, pp 610–615
9.
go back to reference Delfino F, Procopio R, Rossi M (2002) A new technique for computing the response of a line of finite length excited by high frequency electromagnetic field. IEEE Proc Sci Meas Technol 149:289–292 Delfino F, Procopio R, Rossi M (2002) A new technique for computing the response of a line of finite length excited by high frequency electromagnetic field. IEEE Proc Sci Meas Technol 149:289–292
10.
go back to reference Delfino F, Nervi M, Procopio R, Rossi M (2003) A full-Maxwell algorithm for the field-to-multiconductor line-coupling problem. COMPEL 22(3):789–805CrossRef Delfino F, Nervi M, Procopio R, Rossi M (2003) A full-Maxwell algorithm for the field-to-multiconductor line-coupling problem. COMPEL 22(3):789–805CrossRef
11.
go back to reference Hadamard J (1923) Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press, New Haven Hadamard J (1923) Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press, New Haven
12.
go back to reference Kirsch A (2011) An introduction to the mathematical theory of inverse problems. Springer, New YorkCrossRefMATH Kirsch A (2011) An introduction to the mathematical theory of inverse problems. Springer, New YorkCrossRefMATH
14.
go back to reference Tikhonov AN, Arsenin VY (1977) Solution of ill-posed problems. Winston & Sons, Washington Tikhonov AN, Arsenin VY (1977) Solution of ill-posed problems. Winston & Sons, Washington
15.
go back to reference Hansen PC (1987) The truncated SVD as a method for regularization. BIT Comput Sci Numer Math 27:534–553 Hansen PC (1987) The truncated SVD as a method for regularization. BIT Comput Sci Numer Math 27:534–553
16.
go back to reference Balanis CA (1989) Advanced engineering electromagnetics. Wiley, New York Balanis CA (1989) Advanced engineering electromagnetics. Wiley, New York
17.
go back to reference Salinas A, Martin RG, Bretones AR, Sanchez Garcia I (1983) Modelling of straight thin wires using time-domain electric field integral equations. Wave Motion 5:273–295CrossRef Salinas A, Martin RG, Bretones AR, Sanchez Garcia I (1983) Modelling of straight thin wires using time-domain electric field integral equations. Wave Motion 5:273–295CrossRef
18.
go back to reference Waterman PC (1994) Analytical consequences of the extended boundary condition. IEE Proc Microwaves Antennas Propag 141(2):123–126MathSciNetCrossRef Waterman PC (1994) Analytical consequences of the extended boundary condition. IEE Proc Microwaves Antennas Propag 141(2):123–126MathSciNetCrossRef
19.
go back to reference Tijhuis AG, Zonggiu P, Bretones AR (1992) Transient excitation of a straight thin-wire segment: a new look to an old problem. lEEE Antennas Propag Mag 40:1132–1146ADSCrossRef Tijhuis AG, Zonggiu P, Bretones AR (1992) Transient excitation of a straight thin-wire segment: a new look to an old problem. lEEE Antennas Propag Mag 40:1132–1146ADSCrossRef
20.
go back to reference Eswaran K (1990) On the solution of a class of dual integral equations occurring in diffraction problems. Proc R Soc Lond A Math Phys Sci 429:399–427ADSMathSciNetCrossRefMATH Eswaran K (1990) On the solution of a class of dual integral equations occurring in diffraction problems. Proc R Soc Lond A Math Phys Sci 429:399–427ADSMathSciNetCrossRefMATH
21.
go back to reference Delfino F, Procopio R, Rossi M (2009) A new method for the solution of convolution-type dual integral-equation systems occurring in engineering electromagnetic. J Eng Math 63:51–59MathSciNetCrossRefMATH Delfino F, Procopio R, Rossi M (2009) A new method for the solution of convolution-type dual integral-equation systems occurring in engineering electromagnetic. J Eng Math 63:51–59MathSciNetCrossRefMATH
22.
23.
go back to reference Goncharsky AV, Leonov AS, Yagola AG (1973) A generalized discrepancy principle. Zh Vychisl Mat i Mat Fiz 13:294–302 Goncharsky AV, Leonov AS, Yagola AG (1973) A generalized discrepancy principle. Zh Vychisl Mat i Mat Fiz 13:294–302
25.
go back to reference Davis PJ, Rabinowitz P (1977) Methods of numerical integration. Academic Press, New YorkMATH Davis PJ, Rabinowitz P (1977) Methods of numerical integration. Academic Press, New YorkMATH
26.
27.
go back to reference Brignone M, Procopio R, Delfino F (2012) A regularization approach for high-frequency electromagnetic field-to-line coupling analysis. Inverse Probl 28:095001ADSMathSciNetCrossRefMATH Brignone M, Procopio R, Delfino F (2012) A regularization approach for high-frequency electromagnetic field-to-line coupling analysis. Inverse Probl 28:095001ADSMathSciNetCrossRefMATH
28.
go back to reference Sommerfeld A (1949) Partial differential equations in physics. Academic Press, New YorkMATH Sommerfeld A (1949) Partial differential equations in physics. Academic Press, New YorkMATH
29.
go back to reference Gibson WC (2008) The method of moments in electromagnetics. Taylor and Francis, New YorkMATH Gibson WC (2008) The method of moments in electromagnetics. Taylor and Francis, New YorkMATH
30.
go back to reference Rachidi F, Tkatchenko S (2008) Electromagnetic field interaction with transmission lines from classical theory to HF radiation effects. WIT Press, LondonCrossRef Rachidi F, Tkatchenko S (2008) Electromagnetic field interaction with transmission lines from classical theory to HF radiation effects. WIT Press, LondonCrossRef
Metadata
Title
Regularization techniques for the high-frequency electromagnetic field coupling problem with terminated lines
Authors
Massimo Brignone
Federico Delfino
Renato Procopio
Paola Girdinio
Publication date
13-03-2015
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2016
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-015-9782-1

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