Abstract
This chapter deals with the basics of numerical modeling as these relate to the microwave domain. None of the methods described is specific to NDT, but rather, general methods for modeling. The unique aspects of NDT are manifest in the way the techniques are used and the material properties and geometries.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
M. Morgan (ed.), “Finite Element and Finite Difference Methods in Electromagnetic Scattering”, Elsevier, New York, 1990.
R. D. Richtmyer and K. W. Morton, “Differential Methods for Initial Value Problems,” John Wiley, 1967.
G. E. Forsythe and W. R. Wasow, “Finite Difference Methods of Partial Differential Equations”, Wiley, 1964.
R.V. Southwell, “Relaxation Methods in Theoretical Physics”, Oxford, London, 1946.
M. L. James, G. M. Smith and J. C. Walford, “Applied Numerical Methods for Digital Computation,” Harper and Row, Publ., New York, 1977.
E. A. Erdelyi and E. F. Fuchs, “Nonlinear magnetic field analysis of D.C. machines -Part I: theoretical fundamentals,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-89, pp. 1546–1554, 1970.
E. A. Erdelyi and E. F. Fuchs, “Nonlinear magnetic field analysis of D.C. machines -Part II: application of the improved treatment,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-90, pp. 1555–1564, 1970.
J. L. Sieminieniuch and I. Gladwell, “Analysis of explicit difference methods for a diffusion-convection equation,” International Journal for Numerical Methods in Engineering, Vol. 12, No. 6, pp. 899–916, 1978.
E. C. Dufort and S. P. Frankel, “Stability conditions in the numerical treatment of parabolic differential equations,” in Mathematical Tables and Aids to Computation,Vol. 7, pp. 135–152, 1953.
K.J. Binns and P.J. Lawrenson, Analysis and Computation of Electric and Magnetic Field Problems, Pergamon Press, 1973.
J. T. Oden, “A general theory of finite elements I: Topological considerations,” INternal Journal for Numerical Methods in Engineering, Vol. 1, No. 2, 1969, pp. 205–221.
J. T. Oden, “A general theory of finite elements II: Applications,” International Journal for Numerical Methods in Engineering, Vol. 1, No. 3, 1969, pp. 247–259.
K. H. Huebner, The Finite Element Method for Engineers, Wiley-Interscience, John Wiley & Sons, Inc., New York, 1975.
O. C. Zienkiewicz, The Finite Element Method in Engineering, third edition, McGraw-Hill Book Co., London, 1977.
C.W. Steele, “Numerical Computation of Electric and Magnetic Fields”, Van Nostrand Reinhold Co., New York, 1987.
P.P. Sylvester and R.P. Ferrari, “Finite Elements for Electrical Engineers”, Cambridge University Press, Cambridge, 1990.
J.C. Sabonnadierre and J.L. Coulomb, “Finite Element Methods in CAD”, Springer Verlag, NY., 1989.
S.R.H. Hoole, “Computer-Aided Analysis and Design of Electromagnetic Devices”, Elsevier, NY, 1989.
D.A. Lowther and P.P. Sylvester, “Computer Aider Design in Magnetics”, Springer Verlag, NY, 1986.
N. Ida and J. Bastos, “Electromagnetics and Calculation of Fields”, Springer Verlag, NY, 1992.
P. L. Arlet et al, “Application of finite elements to the solution of Helmholtz’ equation”, Proceedings of the IEE, Vol. 115, No. 12, Dec. 1968.
Y. V. Vorobyev, “Method of Moments in Applied Mathematics”, Gordon and Breach Science Publishers, New York, 1965.
R.F. Harrington, “Origin and development of the method of moments for field computation”, IEEE Antenna and Propagation Society Magazine, Vol. 32, No. 3, 1990, pp. 31–36.
R. F. Harrington, “Field Computation by Moment Method”, The Macmillan Company, London, 1967.
J. Moore and R. Pizer, (eds.), “Moment Methods in Electromagnetivs, Techniques and Applications”, John Wiley and Sons Inc., New York, 1984.
W. A. Imbriale, “Applications of the method of moments to thin-wire elements and arrays”, in Numerical and Assymptotic Techniques in Electromagnetics, R. Mitra, Ed., Springer-Verlag, New York, 1975, pp. 5–88.
A.J. Poggio and E.K. Miller, “Integral equation solution of three-dimensional scattering problems”, in R. Mittra, (ed,), Computer Techniques for Electromagnetics, Ch. 4, Pergamon Press, London, 1973.
R. Mitra and C. A. Klein, “Stability and convergence of moment method solutions”, in Numerical and Assymptotic Techniques in Electromagnetics, R. Mitra, Ed., Springer-Verlag, New York, 1975, pp. 129–165.
T. K. Sarkar, “A note on the weighting functions in the method of moments”, IEEE Transactions on Antennas and Propagation, Vol. AP-33, No. 4, April 1985, pp. 436– 441.
D. R. Wilton and S. Govind, “Incorporation of edge conditions in moment method solutions”, IEEE Transactions on Antennas and Propagation, Vol. AP-25, No. 6, November 1977, pp. 845–850.
M. M. Ney, “Method of moments as applied to electromagnetic problems”, IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-33, No. 10, October 1985, pp. 972–980.
A. Taflove, (ed.), “Special issue on numerical methods for electromagnetic wave interactions”, Wave Motion, Vol. 10, No. 6, 1988.
R. F. Harrington, “Matrix methods for field problems”, Proceedings of the IEEE, Vol. 55, No. 2, 1967, pp. 136–149.
R.F. Harrington, “The method of moments in electromagnetics”, Journal of Electromagnetic Waves and Applications, Vol. 1, No. 3, 1987, pp. 181–200.
E.K. Miller, “A selective survey of computational electromagnetics”, IEEE Transactions on Antennas and Propagation, Vol. 36, No. 9, 1988, pp. 1281–1304.
D. K. Reitan and T. H. Higgins, “Accurate determination of the capacitance matrix of a thin rectangular plate,” AIEE Transactions, January 1957, pp. 761–766
T. J. Higgins and D. K. Reitan, “Calculation of the Capacitance of a circular annulus by the method of subsurfaces,” AIEE Transactions, Vol. 70, 1951, pp. 926–933.
J. E. Storer, “Impedance of thin wire loop antennas, ” AIEE Transactions, November 1966, pp. 606–619.
J.C. Toler, “Special issue on electromagnetic wave interactions with biological systems”, IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-32, No. 8, Jan. 1984.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Ida, N. (1992). Methods of Modeling. In: Microwave NDT. Developments in Electromagnetic Theory and Applications, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2739-4_10
Download citation
DOI: https://doi.org/10.1007/978-94-011-2739-4_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5215-3
Online ISBN: 978-94-011-2739-4
eBook Packages: Springer Book Archive