(特別招待論文)Dual Series Equations for Wave Diffraction by Conical Edge:Rigorous Solution and Approximate Technique

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概要

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• 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.

• 社団法人電子情報通信学会の論文
• 2000-05-12

著者

• Kuryliak Dozyslav

  Karpenko Physico-mechanical Institute National Academy Of Sciences Of Ukraine

• Nazarchuk Zinoviy

  Karpenko Physico-mechanical Institute National Academy Of Sciences Of Ukraine

関連論文

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• WIENER-HOPF ANALYSIS OF THE VECTOR DIFFRACTION PROBLEM FOR A CIRCULAR WAVEGUIDE CAVITY
• C-1-36 Wiener-Hopf Analysis of the Axial Symmetric Diffraction Problem for a Circular Waveguide Cavity
• DUAL SERIES EQUATIONS FOR WAVE DIFFRACTION BY CONICAL EDGE : RIGOROUS SOLUTION AND APPROXIMATE TECHNIQUE (invited paper)
• (特別招待論文)Dual Series Equations for Wave Diffraction by Conical Edge:Rigorous Solution and Approximate Technique

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