| Автор | Kurss, Herbert |
| Дата выпуска | 1970 |
| dc.description | A Green's function G for ∇<sup>2</sup> + κ<sup>2</sup> is interpreted essentially as a Laplace transform of a Green's function H for ∇<sup>2</sup> ‐ ∂/∂t. The Laplace integral is evaluated by selecting a mixing parameter T and representing H by rays in (0, T) and modes in (T, ∞). This procedure enables one to systematize, simplify, and extend the scope of the technique originated by Ewald (1916). As an illustration, G for a parallel‐plate wave guide is detailed. |
| Формат | application.pdf |
| Копирайт | Copyright 1970 by the American Geophysical Union. |
| Название | A Heat‐Equation Approach to Mixed Ray and Modal Representations of Green's Functions for ∇<sup>2</sup> + κ<sup>2</sup> |
| Тип | article |
| DOI | 10.1029/RS005i007p01085 |
| Electronic ISSN | 1944-799X |
| Print ISSN | 0048-6604 |
| Журнал | Radio Science |
| Том | 5 |
| Первая страница | 1085 |
| Последняя страница | 1090 |
| Выпуск | 7 |
| Библиографическая ссылка | Abramowitz, M., I. A.Stegun, Handbook of Mathematical Functions, AMS‐55Chap. 5, U. S. government Printing Office, Washington, D. C., 1964. |
| Библиографическая ссылка | Binet, J. P. M., Note sur l'intégrale ∫<sub>a</sub><sup>y</sup>y<sup>2</sup><sup>l</sup>dy exp —p/y<sup>2</sup> — qy<sup>2</sup> prise entre des limites arbiraires, Comptes Rendus, 12, 958–963, 1841. |
| Библиографическая ссылка | Ewald, P. P., Zur Begründung der Kristalloptik, Ann. Phys., 49, 1–37, 1916. |
| Библиографическая ссылка | Ewald, P. P., Die Berechnung optischer und elektrostatischer Gitterpotentiale, Ann. Phys., 64, 253–287, 1921. |
| Библиографическая ссылка | Ham, F. S., B.Segall, Energy bands in periodic lattices‐Green's function method, Phys. Rev., 124, 1786–1796, 1961. |
| Библиографическая ссылка | Karpov, K. A., Tables of the Functions ƒ(z) = ∫<sub>o</sub><sup>z</sup> exp (x<sup>2</sup>) dx in the Complex Domain, Macmillan, N. Y., 1964. |
| Библиографическая ссылка | Kasterin, N., (1898),Uber die Dispersion der akustischen Wellen in einem nicht homogenen Medium,Russ. Phys. ‐Chem. Soc. J.,30 (Phys.)61–78, also in Amsterdam Akad., 6 (532), 460–480,. |
| Библиографическая ссылка | Kittel, C., Introduction to Solid State, Appendix B, John Wiley, New York, 1953. |
| Библиографическая ссылка | Kohn, W., N.Rostoker, Solution of the Schrodinger equation in periodic lattices with an application to metallic lithium, Phys. Res., 94, 1111–1120, 1954. |
| Библиографическая ссылка | Korringa, J., On the calculation of the energy of a Bloch wave in a metal, Physica, 13, 392–400, 1947. |
| Библиографическая ссылка | Marcuvitz, N., On the calculation of the band properties of electrons in crystalsRep. no. R‐473‐56 (Electrophysics Memo no. 9)Microwave Research Institute, Polytechnic Institute of Brooklyn, 1956. |
| Библиографическая ссылка | Rayleigh, Lord, J. W.Stmtt, On the influence of obstacles arranged in rectangular order upon the properties of the medium, Phil. Mag., 34, 481–502, 1892. |
| Библиографическая ссылка | Sommerfeld, A., Partial Differential Equations in Physics, Academic, New York, 1964. |
| Библиографическая ссылка | Watson, G. N., A Treatise on the Theory of Bessel Functions2nd ed., 178, Cambridge University Press, Cambridge, Mass., 1944. |
