| Presentation | 2000/5/12 DUAL SERIES EQUATIONS FOR WAVE DIFFRACTION BY CONICAL EDGE:RIGOROUS SOLUTION AND APPROXIMATE TECHNIQUE(invited paper) Dozyslav B. Kuryliak, Zinoviy T. Nazarchuk, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The method for rigorous solution of dual series equation in the scalar diffraction theory problems for conical edge is considered. It is based on the establishing of the rule for the correct transition to the infinite systems of linear algebraic equations(ISLAE), the use of the method of"semi-inversion"for their regularisation and obtaining the solutions which provide the fulfilment of all necessary conditions, including the Meixner condition at the edge. These systems are proved to be regulated by couples of operators, which consist of the convolution type operator and the corresponding inverted matrix operator, which elements can be found in the analytically on the basis of the factorisation method. The set of the regularisating operators is built and the optimum ones for the numerical analysis are selected. The approximate ISLAE are derived and studied. They asymptotically satisfy the boundary conditions and are efficient for the solution of the diffraction problems of large size cones. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | scattering and diffraction / convolution operator / dual series equation / semi-inversion technique |
| Paper # | SANE2000-21 |
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| Conference Information | |
| Committee | SANE |
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| Conference Date | 2000/5/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Space, Aeronautical and Navigational Electronics (SANE) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | DUAL SERIES EQUATIONS FOR WAVE DIFFRACTION BY CONICAL EDGE:RIGOROUS SOLUTION AND APPROXIMATE TECHNIQUE(invited paper) |
| Sub Title (in English) | |
| Keyword(1) | scattering and diffraction |
| Keyword(2) | convolution operator |
| Keyword(3) | dual series equation |
| Keyword(4) | semi-inversion technique |
| 1st Author's Name | Dozyslav B. Kuryliak |
| 1st Author's Affiliation | Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine() |
| 2nd Author's Name | Zinoviy T. Nazarchuk |
| 2nd Author's Affiliation | Karpenko Physico-Mechanical Institute, National Academy of Sciences of Ukraine |
| Date | 2000/5/12 |
| Paper # | SANE2000-21 |
| Volume (vol) | vol.100 |
| Number (no) | 68 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |