The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given.
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Descrizione libro Alpha Science International Ltd, United Kingdom, 2014. Hardback. Condizione: New. Language: English . Brand New Book. The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given. Codice articolo AAZ9781842657768
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3. Advanced Theory of the Diffraction by a Semi-infinite Impedance Cone (Hardback)
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Descrizione libro Alpha Science International Ltd, United Kingdom, 2014. Hardback. Condizione: New. Language: English . Brand New Book. The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given. Codice articolo AAZ9781842657768
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Descrizione libro Alpha Science International Ltd, 2014. Condizione: New. Num Pages: 170 pages. BIC Classification: PBKJ; PHJ. Category: (P) Professional & Vocational. Dimension: 166 x 244 x 17. Weight in Grams: 446. . 2014. Hardcover. . . . . . Codice articolo V9781842657768
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