American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
Open Access
Journal Browser
Go
American Journal of Applied Mathematics and Statistics. 2014, 2(3), 96-105
DOI: 10.12691/ajams-2-3-3
Open AccessArticle

Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials

Vishwa Nath Maurya1, and Avadhesh Kumar Maurya2

1Department of Mathematics, School of Science & Technology, University of Fiji, Fiji Ex-Professor & Director, Vision Institute of Technology, U.P. Technical University, India

2Department of Electronics & Communication Engineering Lucknow Institute of Technology, U.P. Technical University, India

Pub. Date: April 20, 2014

Cite this paper:
Vishwa Nath Maurya and Avadhesh Kumar Maurya. Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials. American Journal of Applied Mathematics and Statistics. 2014; 2(3):96-105. doi: 10.12691/ajams-2-3-3

Abstract

Present paper demonstrates on application aspect of Haar wavelets and method of moments for computing performance characteristics in electromagnetic field. In this paper, some significant results including performance characteristics relevant to application of the Haar wavelets as the expansion function in the method of moments have been successfully explored. The present analysis for performance evaluation has been focused for three different electromagnetic materials- finite straight, thin plane plate and eddy current problem. The main results explored are described in the main text and also concluded at the end with discussions.

Keywords:
matrix method of moments Haar wavelets performance characteristics electromagnetic square plane plateeddy current problem

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

Figure of 19

References:

[1]  Aboufadel E. and Schlicker S., Discovering Wavelets, John Wiley & Sons, pp. 1-42, 1999.
 
[2]  Balanis C.A., Antenna Theory: Analysis and Design, Harper & Row, New York, pp. 283-321, 1982.
 
[3]  Belardi A.A., Cardoso J.R., and Sartori C.F., Application of Haar’s Wavelets in the method to solve electrostatic problems, Compel Vol. 23(3), pp. 606-612, 2004
 
[4]  Belardi A.A., Cardoso J.R., and Sartori C.F., Wavelets Application in Electrostatic and their Computing Aspects, Electric and Magnetic Fields, EMF, Germany, pp. 43-46, 2003
 
[5]  Bossavit A., A numerical approach to transient nonlinear eddy current problems in applied electromagnetic in materials, Elsevier, 1990.
 
[6]  Bulter C.M. and Wilton D.R., Analysis of various numerical techniques applied to thin-wire scatterers, IEEE Trans,Vol. AP-23 (4), pp. 524-540, July 1975.
 
[7]  Chui C.K., An Introduction to Wavelets, Academic, New York, 1991.
 
[8]  Clayton P.R. and Syed N. A., Introduction to Electromagnetic Fields, 1st Edition, New York, McGraw-Hill, 1998.
 
[9]  Cohen A. and Kovacevic J., Wavelets: The mathematical background, IEEE Proceedings of the IEEE, Vol. 84 (4), pp.514-522, 1996.
 
[10]  Constantine A.B., Advanced Engineering Electromagnetics, 2nd Edition, New York, John Wiley & Sons, 1989.
 
[11]  Datta B.N., Numerical Linear Algebra and Applications, 1st Edition, New York, Brooks/Cole Publishing Company, pp. 222-225, 1995
 
[12]  Daubechies I., Ten Lectures on Wavelet, SIAM Press, Philadelphia, 1992.
 
[13]  Harrington R.F., Field Computation by Moment Method, Macmillan Press, New York, 1968.
 
[14]  Harrington R.F., Time-Harmonic Electromagnetic Fields, Graw-Hill, New York, 1961.
 
[15]  Kaitec, The 14th Kori Unit 4 Steam Generator Tube Eddy Current Examination – Final Report, Nov., 2004.
 
[16]  Kishk A.A., Glisson A.W. and Goggans P.M., Scattering from conductors coated with materials of arbitrary thickness, IEEE Trans. Antennas Propagat., Vol. AP-40, pp. 108-112, Jan. 1992.
 
[17]  KPS, The 5th Urchin Unit 4 Steam Generator Tube Eddy Current Examination – Final Report, Mar. 2005.
 
[18]  Kriezis E.E., Stavaros M.P., and Tegopoulos J.A., Eddy Currents: Theory and Applications, Proceedings of the IEEE, Vol. 80(10), 1992.
 
[19]  Liang J., Elangovan S., Devotta J.B.X., A wavelet multiresolution analysis approach to fault detection and classification in transmission lines. Elsevier Computer Physics Communications, pp.327-332, 1999.
 
[20]  Lopez L.A. N. M., Transformadas de Wavelet e Lógica Fuzzy na Inspeção por Eddy-Current em Tubos de Geradores de Vapor de Centrais Nucleares, Tese de Doutorado,Universidade de São Paulo, USP, Brasil, 2003.
 
[21]  Mallat S., Wavelets for a vision. IEEE Proceedings of the IEEE, Vol. 84(4), pp.604-614, 1996.
 
[22]  Maurya A.K., Maurya V.N. & Singh R.K., Computational approach for performance analysis of photonic band gap structure on defected ground surface with microwave and band stop filter, American Journal of Engineering Technology, Academic & Scientific Publishing, New York, USA, Vol. 1, No. 7, pp. 10-18, 2013.
 
[23]  Maurya Avadhesh Kumar & Maurya V.N., A novel algorithm for optimum balancing energy consumption LEACH protocol using numerical simulation technique, International Journal of Electronics Communication and Electrical Engineering, Algeria, Vol. 3, Issue 4, pp. 1-19, 2013 a.
 
[24]  Maurya Avadhesh Kumar & Maurya V.N., Linear regression and coverage rate analysis for optimization of received signal strength in antenna beam tilt cellular mobile environment, International Journal of Electronics Communication and Electrical Engineering, Algeria, Vol. 3, Issue 7, pp. 1-14, 2013 b.
 
[25]  Maurya Avadhesh Kumar & Maurya V.N., The teleronci model on elementary particles of atomic nucleus- an experimental approach, American Journal of Engineering Technology, Academic & Scientific Publishing, New York, USA, Vol.1, No. 9, December 2013 c, pp. 19-27.
 
[26]  Maurya Avadhesh Kumar, Maurya Vishwa Nath, Singh R.K., A novel method for analysis of synchronization of GPS and geosynchronous satellite signals using solar braking and intrinsic velocity rectification, Journal of Engineering and Technology Research, Scientia Research Library, Georgia, Vol. 2, Issue 1, pp. 17-24, 2014.
 
[27]  Maurya V.N., Numerical simulation for nutrients propagation and microbial growth using finite difference approximation technique, International Journal of Mathematical Modeling and Applied Computing, Academic & Scientific Publishing, New York, USA, Vol. 1, No.7, November 2013, pp. 64-76.
 
[28]  Medgyesi-Mitschang L.N. and Putnam J.M., Electromagnetic scattering from electrically large coated flat and curved strips: Entire domain Galerkin formulation, IEEE Trans. Antennas Propagat., Vol. AP-35, pp.790-801, July 1987.
 
[29]  Medgyesi-Mitschang L.N. and Wang D.S., Hybrid solutions for scattering from large bodies of revolution with material discontinuities and coatings, IEEE Trans. Antennas Propagat., Vol. AP-32, pp. 717-723, June 1984.
 
[30]  Meyer Y., Wavelets: Algorithms & Applications, translated and revised by R. D. Ryan, SIAM Press, Philadelphia, 1993.
 
[31]  Mittra R., Computer Techniques for Electromagnetics, Pergamon Press, Oxford, 1973.
 
[32]  Morettin P.A., 7 Escola de Séries Temporais e Econometria, 1st Edition, São Paulo, Edusp, pp. 20-34, 1997.
 
[33]  Morettin P.A., Ondas e Ondaletas 1°ed, São Paulo, Edusp, pp. 1-55, 1999.
 
[34]  Newland D.E., Random Vibrations Spectral and Wavelet Analysis, Addison Wesley Longman, pp. 315-333, 1993.
 
[35]  Palm W., Introduction to Matlab 7 and Simulink for Engineers, McGraw Hill, pp. 55-97, 2003.
 
[36]  Petre P., Swaminathan M., Veszely G. and Sarkar T.K., Integral equation solution for analyzing scattering from one-dimensional periodic coated strips, IEEE Trans. Antennas Propagat., Vol. AP–41, pp.1069-1080, Aug. 1993.
 
[37]  Petre P., Swaminathan M., Zombory L., Sarkar T.K. and Jose K.A., Volume/surface formulation for analyzing scattering from coated periodic strip, IEEE Trans. Antennas Propagat., Vol. AP–42, pp. 119-122, Jan. 1994.
 
[38]  Phillips B.L., A technique for the numerical solution of certain integral equations of the second kind, 1962.
 
[39]  Rao S.M., Cha C.C., Cravey R.L. and Wilkes D.L., Electromagnetic scattering from arbitrary shaped conducting bodies coated with lossy materials of arbitrary thickness, IEEE Trans. Antennas Propagat., Vol. AP-39, pp. 627-631, May 1991.
 
[40]  Richmond J.H., Digital computer solutions of the rigorous equations for scattering problems, Proc. IEEEE, Vol. 53, pp.796–804, Aug.1965.
 
[41]  Salon S. and Peng J.P., Three dimensional eddy currents using a four component finite element formulation, IEEE Transactions on Magnetics, 1994.
 
[42]  Shu C. and Sarkar T.K., Electromagnetic scattering from coated strips utilizing the adaptive multi scale moment method, Electrical Engineering and Computer Science, pp. 173-208, 1998.
 
[43]  Stoll R.L., The analysis of eddy currents, Clarendon Press, 1974.