A fast multiresolution moment-method algorithm using wavelet concepts
A fast multiresolution moment‐method algorithm is developed based on the spectral‐domain wavelet concept. The computational savings are achieved by taking advantage of the multiscale feature of the spectral‐domain Green's function. It is shown that the multiresolution algorithm leads to reduced...
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| Published in | Microwave and optical technology letters Vol. 10; no. 6; pp. 317 - 319 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Wiley Subscription Services, Inc., A Wiley Company
20.12.1995
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0895-2477 1098-2760 |
| DOI | 10.1002/mop.4650100604 |
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| Abstract | A fast multiresolution moment‐method algorithm is developed based on the spectral‐domain wavelet concept. The computational savings are achieved by taking advantage of the multiscale feature of the spectral‐domain Green's function. It is shown that the multiresolution algorithm leads to reduced computational complexity in the matrix‐vector multiplication operation. © 1995 John Wiley & Sons, Inc. |
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| AbstractList | A fast multiresolution moment‐method algorithm is developed based on the spectral‐domain wavelet concept. The computational savings are achieved by taking advantage of the multiscale feature of the spectral‐domain Green's function. It is shown that the multiresolution algorithm leads to reduced computational complexity in the matrix‐vector multiplication operation. © 1995 John Wiley & Sons, Inc. |
| Author | Ling, Hao Kim, Hyeongdong |
| Author_xml | – sequence: 1 givenname: Hyeongdong surname: Kim fullname: Kim, Hyeongdong organization: Department of Radio Science and Engineering Hanyang University Seoul 133-791, Korea – sequence: 2 givenname: Hao surname: Ling fullname: Ling, Hao organization: Department of Electrical and Computer Engineering The University of Texas at Austin Austin, Texas 78712 |
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| Cites_doi | 10.1109/8.222280 10.1109/8.214611 10.1002/mop.4650060305 10.1002/mop.4650090405 10.1109/74.250128 10.1109/75.222777 |
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| References | H. Kim and H. Ling, "Wavelet Analysis of Radar Echo from Finite-Size Targets," IEEE Trans. Antennas Propagat., Vol. AP-41, Feb. 1993, pp. 200-207. R. L. Wagner, G. P. Otto, and W. C. Chew, "Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions," IEEE Microwave Guided Wave Lett., Vol. 3, July 1993, pp. 208-210. R. Coifman, V. Rokhlin, and S. Wandzura, "The Fast Multipole Method: A Pedestrian Prescription," IEEE Antennas Propagat. Soc. Mag., Vol. 35, June 1993, pp. 7-12. R. L. Wagner and W. C. Chew, "A Ray Propagation Approach for Accelerating the Fast Multipole Method," IEEE Antennas Propagat. Soc. Int. Symp. Dig., Vol. 1, June 1994, pp. 427-430. E. Michielssen and A. Boag, "Reduced Representation of Matrices Generated by the Method of Moments," IEEE Antennas Propagat. Soc. Int. Symp. Dig., Vol. 1, June 1994, pp. 420-423. H. Kim and H. Ling, "On the Application of Fast Wavelet Transform to the Integral-Equation Solution of Electromagnetic Scattering Problems," Microwave Opt. Technol. Lett., Vol. 6, March 1993, pp. 168-173. B. Z. Steinberg and Y. Leviatan, "On the Use of Wavelet Expansions in the Method of Moments," IEEE Trans. Antennas Propagat., Vol. AP-41, May 1993, pp. 610-619. H. Kim and H. Ling, "On the Efficient Representation of Electrodynamic Green's Function Using Multiresolution Wavelet Concepts," Microwave Opt. Technol. Lett., Vol. 9, July 1995, pp. 183-187. 1994; 1 1995; 9 1993; 35 1993; AP‐41 1993; 3 1993; 6 e_1_2_1_6_2 e_1_2_1_7_2 Michielssen E. (e_1_2_1_4_2) 1994; 1 e_1_2_1_5_2 e_1_2_1_2_2 Wagner R. L. (e_1_2_1_3_2) 1994; 1 e_1_2_1_8_2 e_1_2_1_9_2 |
| References_xml | – reference: R. L. Wagner, G. P. Otto, and W. C. Chew, "Fast Waveguide Mode Computation Using Wavelet-Like Basis Functions," IEEE Microwave Guided Wave Lett., Vol. 3, July 1993, pp. 208-210. – reference: H. Kim and H. Ling, "Wavelet Analysis of Radar Echo from Finite-Size Targets," IEEE Trans. Antennas Propagat., Vol. AP-41, Feb. 1993, pp. 200-207. – reference: H. Kim and H. Ling, "On the Application of Fast Wavelet Transform to the Integral-Equation Solution of Electromagnetic Scattering Problems," Microwave Opt. Technol. Lett., Vol. 6, March 1993, pp. 168-173. – reference: R. L. Wagner and W. C. Chew, "A Ray Propagation Approach for Accelerating the Fast Multipole Method," IEEE Antennas Propagat. Soc. Int. Symp. Dig., Vol. 1, June 1994, pp. 427-430. – reference: B. Z. Steinberg and Y. Leviatan, "On the Use of Wavelet Expansions in the Method of Moments," IEEE Trans. Antennas Propagat., Vol. AP-41, May 1993, pp. 610-619. – reference: H. Kim and H. Ling, "On the Efficient Representation of Electrodynamic Green's Function Using Multiresolution Wavelet Concepts," Microwave Opt. Technol. Lett., Vol. 9, July 1995, pp. 183-187. – reference: E. Michielssen and A. Boag, "Reduced Representation of Matrices Generated by the Method of Moments," IEEE Antennas Propagat. Soc. Int. Symp. Dig., Vol. 1, June 1994, pp. 420-423. – reference: R. Coifman, V. Rokhlin, and S. Wandzura, "The Fast Multipole Method: A Pedestrian Prescription," IEEE Antennas Propagat. Soc. Mag., Vol. 35, June 1993, pp. 7-12. – volume: 1 start-page: 427 year: 1994 end-page: 430 article-title: A Ray Propagation Approach for Accelerating the Fast Multipole Method publication-title: IEEE Antennas Propagat. Soc. Int. Symp. Dig. – volume: AP‐41 start-page: 200 year: 1993 end-page: 207 article-title: Wavelet Analysis of Radar Echo from Finite‐Size Targets publication-title: IEEE Trans. Antennas Propagat. – volume: AP‐41 start-page: 610 year: 1993 end-page: 619 article-title: On the Use of Wavelet Expansions in the Method of Moments publication-title: IEEE Trans. Antennas Propagat. – volume: 35 start-page: 7 year: 1993 end-page: 12 article-title: The Fast Multipole Method: A Pedestrian Prescription publication-title: IEEE Antennas Propagat. Soc. Mag. – volume: 1 start-page: 420 year: 1994 end-page: 423 article-title: Reduced Representation of Matrices Generated by the Method of Moments publication-title: IEEE Antennas Propagat. Soc. Int. Symp. Dig. – volume: 6 start-page: 168 year: 1993 end-page: 173 article-title: On the Application of Fast Wavelet Transform to the Integral‐Equation Solution of Electromagnetic Scattering Problems publication-title: Microwave Opt. Technol. Lett. – volume: 3 start-page: 208 year: 1993 end-page: 210 article-title: Fast Waveguide Mode Computation Using Wavelet‐Like Basis Functions publication-title: IEEE Microwave Guided Wave Lett. – volume: 9 start-page: 183 year: 1995 end-page: 187 article-title: On the Efficient Representation of Electrodynamic Green's Function Using Multiresolution Wavelet Concepts publication-title: Microwave Opt. Technol. Lett. – ident: e_1_2_1_6_2 doi: 10.1109/8.222280 – volume: 1 start-page: 420 year: 1994 ident: e_1_2_1_4_2 article-title: Reduced Representation of Matrices Generated by the Method of Moments publication-title: IEEE Antennas Propagat. Soc. Int. Symp. Dig. – ident: e_1_2_1_9_2 doi: 10.1109/8.214611 – ident: e_1_2_1_5_2 doi: 10.1002/mop.4650060305 – ident: e_1_2_1_8_2 doi: 10.1002/mop.4650090405 – ident: e_1_2_1_2_2 doi: 10.1109/74.250128 – volume: 1 start-page: 427 year: 1994 ident: e_1_2_1_3_2 article-title: A Ray Propagation Approach for Accelerating the Fast Multipole Method publication-title: IEEE Antennas Propagat. Soc. Int. Symp. Dig. – ident: e_1_2_1_7_2 doi: 10.1109/75.222777 |
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| SubjectTerms | impedance matrix sparsification multiresolution moment method Spectral-domain wavelet transform |
| Title | A fast multiresolution moment-method algorithm using wavelet concepts |
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