28
Views
8
CrossRef citations to date
0
Altmetric
Articles

An Application of Sampling Theorem to Moment Method Simulation in Surface Scattering

Pages 531-546 | Published online: 03 Apr 2012

References

  • Harrington , R. 1968 . Field Computation by Moment Methods , Macmillan . reprint by Krieger,1982
  • Peterson , A. F. 1994 . Computational Methods for Electromagnetics
  • Axline , R. M. and Fung , A. K. 1978 . Numerical computation of scattering from a perfectly conducting random surfaces . IEEE Trans. Antennas and Propagation , AP-26 May : 482 – 488 .
  • Fung , A. K. and Chen , M. F. 1985 . Numerical simulation of scattering from simple and composite random surfaces . J. Opt. Soc. Amer. , 2 Dec. : 2274 – 2284 .
  • Wu , S. C. , Chen , M. F. and Fung , A. K. 1988 . Scattering from non-Gaussian randomly rough surfaces-cylindrical case . IEEE Transactions on Geoscience and Remote Sensing , 26 ( Issue 6 ) Nov.
  • Chan , C. H. , Tsang , L. and Li , Q. 1998 . Monte Carlo simulations of large-scale one-dimensional random rough-surface scattering at near-grazing incidence: Penetrable case . IEEE Trans. Antennas and Propagation , 46 ( No. 1 ) : 142 – 149 .
  • Tsang , L. , Chan , C. H. , Kung , P . and Sangani , H. 1995 . Monte-Carlo simulation of large-scale problem of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method . IEEE Trans. Antennas and Propagation , 43 ( No. 8 ) Aug.
  • Steinberg , B. and Leviatan , Y. 1993 . On the use of wavelet expansions in the method of moments . IEEE Trans. Antennas and Propagation , 41 ( No. 5 ) : 610 – 619 .
  • Beylkin , G. , Coifman , R. and Rokhlin , V. 1993 . F ast wavelet transforms and numerical algorithm I . Comm. Pure Appl. Math. , 44 : 141 – 183 .
  • Tsang , Y. C. , Chen , K. S. and Huang , H. 1995 . Moment method simulation of rough surface scattering based on wavelet representation . IGARSS’95,‘Quantitative Remote Sensing for Science and Applications‘ , 2 July : 10 – 14 .
  • Wagner , R. and Chew , W. 1995 . A study of wavelets for the solution of electromagnetic integral equations . IEEE Trans. Antennas and Propagation , 43 ( No. 8 ) : 802 – 810 .
  • Alpert , B. , Beylkin , G. , Coifman , R. and Rokhlin , V. 1993 . Wavelet-like bases for the fast solution of second-kind integral equations . SIAM J. Sci. Computation. , 14 ( No. 1 ) : 159 – 184 .
  • Lin , C. , Chan , C. H. and Tsang , L. 1999 . Monte Carlo simulations of scattering and emission from lossy dielectric random rough surface using the wavelet transform method . IEEE Trans. Geo-science and Remote Sensing , 37 ( No. 5 ) : 2295 – 2304 .
  • Deng , H. and Ling , H. 1999 . Fast solution of electromagnetic integral equation using adaptive wavelet packet transform . IEEE Trans. Antennas and Propagation , 47 ( No. 4 ) : 674 – 682 .
  • Pan , G. 1996 . Orthogonal wavelets with applications in electromagnetics . IEEE Trans. on Magnetics , 32 : 975 – 983 .
  • Pan , G. W. , Wang , K. and Cochran , D. 2004 . Coifman wavelets in 3-D scattering from very rough random surfaces . IEEE Trans. Antennas and Propagation , 52 ( No. 11 ) Nov.
  • Pan , G. W. , Toupikov , M. V. and Gilbert , B. K. 1999 . On the use of Coifman intervallic wavelets in the method of moments for fast construction of wavelet sparsified matrices . IEEE Trans. Antennas and Propagation , 47 ( No. 7 ) July
  • Zahn , D. , Sarabandi , K. , Sabet , K. F. and Harvey , J. F. 2000 . Numerical simulation of scattering from rough surfaces: A wavelet-based approach . IEEE Trans. Antennas and Propagation , 48 ( No. 2 ) F eb.
  • Pan , G. W. 1998 . “ W avelets: A promising approach to linear and nonlinear modeling of electro-magnetic problems ” . In Microwave and Millimeter Wave Technology Proceedings
  • Oppenheim , A. V. 1999 . Discrete-time Signal Processing , Upper Saddle River , NJ : Prentice Hall .
  • Jerri , A. J. 1977 . The Shannon sampling theorem — Its variousextensions and applications: A tutorial review . Proceeding of the IEEE , 65 ( Issue 11 ) Nov. : 1565 – 1596 .
  • Pan , G. W. , Tretiakov , Y. V. and Gilbert , B. 2003 . Smooth local cosine based Galerkin method for scattering problems . IEEE Trans. Antennas and Propagation , 51 ( No. 6 ) June
  • Rao , K. R. 1990 . Discrete Transforms and Their Applications , Malabar , Fla : R.E. Krieger Pub. Co .
  • Tretiakov , Y. and Pan , G. 2004 . Malvar wavelet based Pocklington equation solutions to thin-wire antennas and scatterers . Progress in Electromagnetic Research , : 123 – 133 . PIER 47

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.