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標題: Titlebook: Caustics, Catastrophes and Wave Fields; Yu. A. Kravtsov,Yu. I. Orlov Book 19931st edition Springer-Verlag Berlin Heidelberg 1993 acoustics [打印本頁]

作者: CYNIC    時間: 2025-3-21 16:50
書目名稱Caustics, Catastrophes and Wave Fields影響因子(影響力)




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書目名稱Caustics, Catastrophes and Wave Fields讀者反饋學科排名





作者: 暗指    時間: 2025-3-21 22:11
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: 留戀    時間: 2025-3-22 01:34
Typical Integrals of Catastrophe Theory,atastrophes 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: 音的強弱    時間: 2025-3-22 07:12

作者: 豐富    時間: 2025-3-22 11:38
Method of Interference Integrals,the 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: mighty    時間: 2025-3-22 15:46
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: mighty    時間: 2025-3-22 19:27

作者: Presbyopia    時間: 2025-3-22 22:48
Book 19931st editionlysing caustics and their fields on the basis of modern catastrophe theory. The present volume covers local and uniform caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov‘s method of canonical operators , Orlov‘s method of interference integrals, as well as their
作者: Cumbersome    時間: 2025-3-23 03:56
0931-7252 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.978-3-642-97491-5Series ISSN 0931-7252
作者: 引水渠    時間: 2025-3-23 06:45

作者: Nebulous    時間: 2025-3-23 12:50

作者: 范圍廣    時間: 2025-3-23 17:16
https://doi.org/10.1007/978-3-7643-8994-9 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: 檔案    時間: 2025-3-23 21:19

作者: 召集    時間: 2025-3-24 00:45

作者: 發(fā)炎    時間: 2025-3-24 02:55
Book 19931st edition The Lewis-Kravtsov method of standard functions, Maslov‘s method of canonical operators , Orlov‘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: 骯臟    時間: 2025-3-24 08:48
https://doi.org/10.1007/978-3-642-97491-5acoustics; asymptotics; caustics; geometrical optics; optics; uniform caustics
作者: oxidant    時間: 2025-3-24 13:28

作者: sigmoid-colon    時間: 2025-3-24 15:47
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: 跟隨    時間: 2025-3-24 19:24
Observation for the Wave Equation,This method evolved from a very simple idea of describing the asymptotic of the field first in a mixed coordinate-momentum space and performing the Fourier transformation next in the configuration space. This idea proved to be extremely fruitful and effective, and leads to the formulation of heuristic applicability conditions of Maslov’s method.
作者: 藕床生厭倦    時間: 2025-3-25 02:27
Observability for Parabolic Equations,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: 跳動    時間: 2025-3-25 04:14

作者: chassis    時間: 2025-3-25 10:30

作者: 蝕刻術    時間: 2025-3-25 14:37

作者: coagulation    時間: 2025-3-25 19:28

作者: 未完成    時間: 2025-3-25 21:27

作者: ESPY    時間: 2025-3-26 03:30

作者: emulsify    時間: 2025-3-26 06:56
Birkh?user Advanced Texts‘ Basler Lehrbücherits 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: 結合    時間: 2025-3-26 09:30

作者: 種子    時間: 2025-3-26 14:37
Observability for Parabolic Equations,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: addition    時間: 2025-3-26 19:04

作者: 偽善    時間: 2025-3-26 21:55
Typical Integrals of Catastrophe Theory,atastrophes 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: Indelible    時間: 2025-3-27 04:49
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: SLING    時間: 2025-3-27 07:18
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: evasive    時間: 2025-3-27 11:24
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: Gastric    時間: 2025-3-27 14:07

作者: 減至最低    時間: 2025-3-27 18:38
https://doi.org/10.1007/978-3-7643-8994-9 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: 招待    時間: 2025-3-27 22:46

作者: 通知    時間: 2025-3-28 04:25
Birkh?user Advanced Texts‘ Basler Lehrbücherits 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: PIZZA    時間: 2025-3-28 06:20

作者: 凹處    時間: 2025-3-28 12:01

作者: 服從    時間: 2025-3-28 17:53
Observability for Parabolic Equations,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: 未完成    時間: 2025-3-28 20:32
Springer Series on Wave Phenomenahttp://image.papertrans.cn/c/image/222664.jpg
作者: conservative    時間: 2025-3-29 00:29
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作者: 推崇    時間: 2025-3-29 03:26
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作者: foppish    時間: 2025-3-29 09:38
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