標題: Titlebook: Caustics, Catastrophes and Wave Fields; Yu. A. Kravtsov,Yu. I. Orlov Book 1993Latest edition Springer-Verlag Berlin Heidelberg 1993 Oscill [打印本頁] 作者: Madison 時間: 2025-3-21 17:49
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書目名稱Caustics, Catastrophes and Wave Fields讀者反饋學科排名
作者: Macronutrients 時間: 2025-3-21 21:19 作者: 我正派 時間: 2025-3-22 01:08
Observability for Parabolic Equations,Until recently caustics have been treated predominantly on an elementary level like geometrical objects — the envelopes of families of rays. However, physical measurements treat caustics as wave objects, namely, diffuse regions with enhanced amplitude of the wave field.作者: graphy 時間: 2025-3-22 05:31 作者: 種植,培養(yǎng) 時間: 2025-3-22 09:33
Neuere Entwicklungen der Organisation,The standard integrals derived in the catastrophe theory do not exhaust the list of standard functions suitable for a description of caustic fields. In this chapter we reflect on the immense possibilities which mathematics opens up to explore nature.作者: 自由職業(yè)者 時間: 2025-3-22 16:05
Introduction,Until recently caustics have been treated predominantly on an elementary level like geometrical objects — the envelopes of families of rays. However, physical measurements treat caustics as wave objects, namely, diffuse regions with enhanced amplitude of the wave field.作者: 自由職業(yè)者 時間: 2025-3-22 18:16
,Maslov’s Method of the Canonical Operator,In this chapter we outline the basic relationships for Maslov’s method (Sect.6.1), illustrate the method by a number of examples (Sect.6.2) and describe a promising generalization of the method, which was suggested by . and . (Sect.6.3). It is based on the idea of fractional transformations.作者: 平 時間: 2025-3-22 21:21
Modifications and Generalizations of Standard Integrals and Functions,The standard integrals derived in the catastrophe theory do not exhaust the list of standard functions suitable for a description of caustic fields. In this chapter we reflect on the immense possibilities which mathematics opens up to explore nature.作者: VERT 時間: 2025-3-23 03:58 作者: 白楊 時間: 2025-3-23 09:18 作者: 我沒有命令 時間: 2025-3-23 10:57
Observability for Parabolic Equations, the basis of ray representations. Assigning a mathematical ray with the Fresnel volume converts it into a physical object. The concept of Fresnel’s volume yields a versatile criterion of applicability of the ray theory to be derived. It defines caustic zones as regions where rays cease to be physic作者: Processes 時間: 2025-3-23 15:21
Birkh?user Advanced Texts‘ Basler Lehrbücher be overestimated. The new approach has allowed one to classify caustics, to select among them structurally stable species, and to establish a subordinance for caustics of different complexity. It has been the historically first breakthrough to understanding the nature of caustics.作者: Interdict 時間: 2025-3-23 20:39
Control and Observation Operators,tastrophes and also some more complex integrals associated with caustics that occur in series. A novel point in this exposition is the one of Fresnel’s criteria for passing over from some normal forms to others when external parameters vary.作者: engrave 時間: 2025-3-23 23:00
Swiss Journal of Geosciences Supplementits derivatives with respect to external parameters (Kravtsov-Ludwig technique) renders the asymptotic uniformly valid, that is, applicable both at short and at long distances from the caustic. We introduce the concepts of transverse and longitudinal caustic scales to derive uniformly-valid applicab作者: scrape 時間: 2025-3-24 05:30
https://doi.org/10.1007/978-3-7908-1760-7the equation of geometrical optics while the sum describes the caustic field. In the particular case when the momentum is chosen as a parameter of the family of wavelets, Orlov’s method becomes Maslov’s method. This chapter also considers Orlov’s interference integrals in which partial wavelets are 作者: pester 時間: 2025-3-24 08:29 作者: EVICT 時間: 2025-3-24 13:09 作者: 你不公正 時間: 2025-3-24 17:32
Caustics, Catastrophes and Wave Fields978-3-642-59887-6Series ISSN 0931-7252 作者: 無王時期, 時間: 2025-3-24 21:23
Birkh?user Advanced Texts‘ Basler Lehrbücher be overestimated. The new approach has allowed one to classify caustics, to select among them structurally stable species, and to establish a subordinance for caustics of different complexity. It has been the historically first breakthrough to understanding the nature of caustics.作者: bibliophile 時間: 2025-3-24 23:32 作者: tenosynovitis 時間: 2025-3-25 04:37 作者: nonchalance 時間: 2025-3-25 10:31 作者: 不開心 時間: 2025-3-25 15:28 作者: Impugn 時間: 2025-3-25 17:15
Caustics as Catastrophes, be overestimated. The new approach has allowed one to classify caustics, to select among them structurally stable species, and to establish a subordinance for caustics of different complexity. It has been the historically first breakthrough to understanding the nature of caustics.作者: Ceremony 時間: 2025-3-25 21:31 作者: Herd-Immunity 時間: 2025-3-26 01:22
Uniform Caustic Asymptotics Derived with Standard Integrals,its derivatives with respect to external parameters (Kravtsov-Ludwig technique) renders the asymptotic uniformly valid, that is, applicable both at short and at long distances from the caustic. We introduce the concepts of transverse and longitudinal caustic scales to derive uniformly-valid applicability conditions for the asymptotic expressions.作者: negligence 時間: 2025-3-26 07:07
Penumbra Caustics,ctions and their extensions. A close type of caustics is formed by the diffracted rays in the region of a diffraction penumbra. Both types of caustic, treated first by Yu.I. Orlov, correspond to the so-called edge catastrophes.作者: Pcos971 時間: 2025-3-26 11:41 作者: disrupt 時間: 2025-3-26 15:30 作者: canvass 時間: 2025-3-26 18:30 作者: 拖債 時間: 2025-3-27 00:17 作者: 側(cè)面左右 時間: 2025-3-27 04:47 作者: 進入 時間: 2025-3-27 07:31 作者: overbearing 時間: 2025-3-27 12:27
Penumbra Caustics,ctions and their extensions. A close type of caustics is formed by the diffracted rays in the region of a diffraction penumbra. Both types of caustic, treated first by Yu.I. Orlov, correspond to the so-called edge catastrophes.作者: 都相信我的話 時間: 2025-3-27 15:35
Caustics Revisited,- less Maxwell’s equations. Nevertheless manageable asymptotic solutions can be obtained for caustics in dispersive and anisotropic media, in nonlinear and random media and for related problems of quantum mechanics.作者: 放逐 時間: 2025-3-27 20:24
Book 1993Latest edition present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov‘s method of caonical operators, O作者: 單挑 時間: 2025-3-27 22:49 作者: Noisome 時間: 2025-3-28 05:16
0931-7252 n a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asym作者: esthetician 時間: 2025-3-28 06:23 作者: 字形刻痕 時間: 2025-3-28 12:19 作者: 裝勇敢地做 時間: 2025-3-28 15:32 作者: FOIL 時間: 2025-3-28 19:57
Method of Interference Integrals, family of wavelets, Orlov’s method becomes Maslov’s method. This chapter also considers Orlov’s interference integrals in which partial wavelets are caustic fields (Airy asymptotics or more complex expansions).作者: coalition 時間: 2025-3-29 00:38
Book 1993Latest editionrlov‘s method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.作者: Gleason-score 時間: 2025-3-29 05:56
10樓作者: 粗俗人 時間: 2025-3-29 07:38
10樓作者: 砍伐 時間: 2025-3-29 13:56
10樓作者: ARBOR 時間: 2025-3-29 15:38
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