Regularization techniques for the high-frequency electromagnetic field coupling problem with terminated lines
详细信息    查看全文
  • 作者:Massimo Brignone ; Federico Delfino ; Renato Procopio…
  • 关键词:Electromagnetic coupling ; Regularization theory ; Terminated lines ; Transmission line models
  • 刊名:Journal of Engineering Mathematics
  • 出版年:2016
  • 出版时间:February 2016
  • 年:2016
  • 卷:96
  • 期:1
  • 页码:73-93
  • 全文大小:837 KB
  • 参考文献:1.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.Burke GJ, Poggio AJ (1981) Numerical Electromagnetic Code (NEC)—method of moments. Technical Report, Naval Ocean Systems Center, San Diego
    3.Desoer CA, Kuh ES (2009) Basic circuit theory. McGraw-Hill Education, New Delhi
    4.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.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.Maffucci A, Miano G, Villone F (2004) An enhanced transmission line model for conducting wires. IEEE Trans Electromagn Compat 46:512–528CrossRef
    7.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.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.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.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.Hadamard J (1923) Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press, New Haven
    12.Kirsch A (2011) An introduction to the mathematical theory of inverse problems. Springer, New YorkCrossRef MATH
    13.Landweber L (1951) An iteration formula for Fredholm integaral equations of the first kind. Am J Math 73:615–624MathSciNet CrossRef MATH
    14.Tikhonov AN, Arsenin VY (1977) Solution of ill-posed problems. Winston & Sons, Washington
    15.Hansen PC (1987) The truncated SVD as a method for regularization. BIT Comput Sci Numer Math 27:534–553
    16.Balanis CA (1989) Advanced engineering electromagnetics. Wiley, New York
    17.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.Waterman PC (1994) Analytical consequences of the extended boundary condition. IEE Proc Microwaves Antennas Propag 141(2):123–126MathSciNet CrossRef
    19.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 40:1132–1146ADS CrossRef
    20.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 429:399–427ADS MathSciNet CrossRef MATH
    21.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 63:51–59MathSciNet CrossRef MATH
    22.Engl HW, Hanke M, Neubauer A (1996) Regularization of inverse problems. Kluwer, DordrechtCrossRef MATH
    23.Goncharsky AV, Leonov AS, Yagola AG (1973) A generalized discrepancy principle. Zh Vychisl Mat i Mat Fiz 13:294–302
    24.Hansen PC (1992) Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 34:561–580MathSciNet CrossRef MATH
    25.Davis PJ, Rabinowitz P (1977) Methods of numerical integration. Academic Press, New YorkMATH
    26.Ern A, Guermond JL (2004) Theory and practice of finite elements. Springer, New YorkCrossRef MATH
    27.Brignone M, Procopio R, Delfino F (2012) A regularization approach for high-frequency electromagnetic field-to-line coupling analysis. Inverse Probl 28:095001ADS MathSciNet CrossRef MATH
    28.Sommerfeld A (1949) Partial differential equations in physics. Academic Press, New YorkMATH
    29.Gibson WC (2008) The method of moments in electromagnetics. Taylor and Francis, New YorkMATH
    30.Rachidi F, Tkatchenko S (2008) Electromagnetic field interaction with transmission lines from classical theory to HF radiation effects. WIT Press, LondonCrossRef
  • 作者单位:Massimo Brignone (1)
    Federico Delfino (1)
    Renato Procopio (1)
    Paola Girdinio (1)

    1. Naval, ICT and Electrical Engineering Department (DITEN) – Electromagnetic Compatibility and Power Systems Group, University of Genoa, Via Opera Pia 11a, 16145, Genova, Italy
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Mechanics
    Applications of Mathematics
    Analysis
    Mathematical Modeling and IndustrialMathematics
    Numeric Computing
  • 出版者:Springer Netherlands
  • ISSN:1573-2703
文摘
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).

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700