Use of Coifman intervallic wavelets in 2-D and 3-D scattering problems

IEE Proceedings: Microwaves, Antennas and Propagation

Volumn 145, Issue 6, 1998, Pages 471-479

  Pan, G ^a   Toupikov, M ^a   Du, J ^a   Gilbert, B K ^b  

^a Arizona State University   (United States)

^b MAYO CLINIC   (United States)

Author keywords

Coifman wavelets; Intervallic wavelets; Scattering

Indexed keywords

ANTENNAS; COMPUTER SIMULATION; DIRECTIONAL PATTERNS (ANTENNA); ELECTRIC IMPEDANCE; ELECTROMAGNETIC WAVE REFLECTION; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS;

INTERVALLIC WAVELETS; SCATTERER STRUCTURES; SURFACE INTEGRAL EQUATIONS; ZERO ELEMENTS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0032262230     PISSN: 13502417     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-map:19982386     Document Type: Article

References (19)

1. DAUBECHIES, I.: 'Ten lectures on wavelets' (SIAM, Philadelphia, 1992)
2. CHUI, C.K.: 'An introduction to wavelets' (Academic Press, 1991)
3. MALLAT, S.G.: 'A theory for multiresolution signal decomposition: the wavelet representation', IEEE Trans., Pattern Anal. Mach. Intell., 1990, PAMI-11, pp. 674-693
4. BEYLKIN, G., COIFMAN, R., and ROKLIN, V.: 'Fast wavelet transforms and numerical algorithm I', Commun. Pure Appl. Math., 1991, 44, pp. 141-183
5. STEINBERG, B., and LEVIATAN, Y.: 'On the use of wavelet expansions in the method of moments', IEEE Trans., Antennas Propagation, May 1993, 41, pp. 610-619
6. SABETFAKHRI, K., and KATEHI, L.: 'Analysis of integrated millimeterwave submillimeterwave waveguides using orthogonal wavelet expansions', IEEE Trans., Microwave Theory Thch., 1994, 42, pp. 2412-2422
7. WANG, G., and PAN, G.W.: 'Full wave analysis of microstrip floating line structures by wavelet expansion method', IEEE Trans., Microwave Theory Thch., 1995, 43, pp. 131-142
8. WANG, G., PAN, G., and GILBERT, B.K.: 'A hybrid wavelet expansion and boundary element analysis for multiconductor transmission line in multilayered dielectric media', IEEE Trans., Microwave Theory Tech., 1995, 43, pp. 664-675
9. PAN, G.: 'Orthogonal wavelets with applications in electromagnetics', IEEE Trans., Magnetics, 1996, 32, (3), pp. 975-983
10. PAN, G., and DU, J.: 'The intervallic wavelets with applications in the surface integral equations', 11th Annual Review of Progress in ACES, 1995, pp. 993-999
11. D'ATTELLIS, C., and FERNANDEZ-BERDAGUER, E. (Ed.): 'Wavelet theory and harmonic analysis in applied sciences' (Birkhauser, 1997)
12. WANGNER, R., and CHEW, C.: 'A study of wavelets for the solution of electromagnetic integral equations', IEEE Trans., Antennas Propagation, 1995, 43, pp. 802-810
13. ZHU, X., and PAN, G.: 'On application of fast and apaptive periodic Battle-Lemarie wavelets to modelling of multiple lossy transmission lines', J. Computational Phys., 1997, 132, pp. 299-311
14. XIANG, Z., and LU, Y.: 'An effective wavelet matrix transform approach for efficient solutions of electromagnetic integral equations', IEEE Trans., Antennas Propagation, 1997, 45, pp. 1205-1213
15. ALPERT, B.K.: 'High-order quadratures for integral operatiors with singular kernels', J. Computational Appl. Math., 1995, 60, (3), pp. 367
16. JAWERTH, B., and SWELDENS, W.: 'An overview of wavelet based multiresolution analyses'. University of South Carolina, USA, http://www.math.scarolina.edu/%7Ewavelet/Papers.html
17. ANDERSSON, L., and HALL, N., JAWERTH, B., and PETERS, G.: 'Wavelets on closed subsets of the real line'. University of South Carolina, USA, http://www.math.scarolina.edu/ %7Ewavelet/Papers.html
18. MIN, X., and SUN, W.: 'An efficient formulation to determine the scattering characteristics of a conducting body with thin magnetic coatings', IEEE Trans., Antennas Propagation, 1991, 39, pp. 448-454
19. HARRINGTON, R.: 'Field computation by moment method; (Robert E. Krieger Publishing Company, 1968)