Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case

B. P. Sharfarets

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Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case

机译：在二维情况下将扩展源的压力场表示为几何光学序列

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The asymptotical solution of two-dimensional nonuniform Helmholtz' equation in R{sup}2 space with a variable refraction index is considered. Volumetric density of a source is different from zero in a finite region D. It is shown that this asymptotical solution can be represented as a geometric-optical series. The algorithms for calculation of all characteristics of this series are given.

机译：研究了具有可变折射率的R {sup} 2空间中二维非均匀亥姆霍兹方程的渐近解。在有限区域D中，源的体积密度不同于零。表明，这种渐近解可以表示为几何光学级数。给出了计算该系列所有特征的算法。

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《Научное приборостроение》 |2001年第4期|共5页
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B. P. Sharfarets;
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入库时间 2022-08-19 11:38:25

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1. Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case [J] . B. P. Sharfarets Научное приборостроение . 2001,第4期

机译：在二维情况下将扩展源的压力场表示为几何光学序列
2. Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case [J] . B. P. Sharfarets Научное приборостроение . 2001,第4期

机译：在二维情况下将扩展源的压力场表示为几何光学序列
3. Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case [J] . B. P. Sharfarets Научное приборостроение . 2001,第4期

机译：将扩展源的压力场表示为二维壳体中的几何光学系列
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5. Free fields and hermitian representations of the extended affine Lie algebra of type A. [D] . Zeng, Ziting. 2006

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6. Design of compact and ultra efficient aspherical lenses for extended Lambertian sources in two-dimensional geometry [O] . Rengmao Wu, Hong Hua, Pablo Benítez, -1

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7. Buenker, John D.; Greenfield, G.M.; and Murin, W.J. Urban History: A Guide to Information Sources. Volume 9 in the American Government and History Information Guide Series. Detroit: Gale Research Company, 1981. Pp. xv, 448. Annotations; addendum; author, title and subject indexes. $38.00 Murphy, Thomas P. Urban Law: A Guide to Information Sources. Volume II in the Urban Studies Information Guide Series. Detroit: Gale Research Company, 1980. Pp. xxv, 320. Annotations; author, title and subject indexes. $38.00 Markowitz, Arnold L. Historic Preservation: A Guide to Information Sources. Volume 13 in the Art and Architecture Information Guide Series. Detroit: Gale Research Company, 1980. Pp. xvi, 279. Annotations: appendix; author, organization, title and subject indexes. $38.00 Murin, W.J.; Greenfield, G.M.; and Buenker, John D. Public Policy: A Guide to Information Sources. Volume 13 in the American Government and History Information Guide Series. Detroit: Gale Research Company, 1981. Pp. ix, 283. Annotations; addendum; author and subject indexes. $38.00 Smith, Dwight L. The American and Canadian West; A Bibliography. Clio Bibliography Series No. 6. Santa Barbara, Calif.: American Bibliography Center-Clio Press, 1979. Pp. xi, 558. Annotations; list of periodicals consulted; author and subject indexes. $69.00 [O] . Artibise , Alan F. J. 1982

机译：Buenker，John D。; Greenfield，G.m。;和murin，W.J。城市历史：信息来源指南。美国政府和历史信息指南系列第9卷。底特律：盖尔研究公司，1981年.pp。 xv，448。注释;附录;作者，标题和主题索引。 $ 38.00 murphy，Thomas p. Urban Law：信息来源指南。 “城市研究信息指南”系列第二卷。底特律：盖尔研究公司，1980年.pp。 xxv，320。注释;作者，标题和主题索引。 $ 38.00 markowitz，arnold L.历史保护：信息来源指南。 “艺术与建筑信息指南系列”第13卷。底特律：盖尔研究公司，1980年.pp。 xvi，279。注释：附录;作者，组织，职称和主题索引。 $ 38.00 murin，W.J。; Greenfield，G.m。;和布埃克，约翰D.公共政策：信息来源指南。美国政府和历史信息指南系列第13卷。底特律：盖尔研究公司，1981年.pp。 ix，283。注释;附录;作者和主题索引。 $ 38.00 smith，Dwight L.美国和加拿大西部;参考书目。 Clio参考书目系列第6号。加利福尼亚州圣巴巴拉市：美国参考书目中心 - 克里奥出版社，1979年.pp。 xi，558。注释;咨询的期刊清单;作者和主题索引。 $ 69.00
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机译：由于应用于封盖的开放表面来源的领域的积分表示

Representation of the pressure field of an extended source as a geometric-optical series in the two-dimensional case

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