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Titlebook: Lagrangian Optics; Vasudevan Lakshminarayanan,Ajoy K. Ghatak,K. Thyag Book 2002 Springer Science+Business Media New York 2002 adaptive opt

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发表于 2025-3-21 20:02:03 | 显示全部楼层 |阅读模式
书目名称Lagrangian Optics
编辑Vasudevan Lakshminarayanan,Ajoy K. Ghatak,K. Thyag
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图书封面Titlebook: Lagrangian Optics;  Vasudevan Lakshminarayanan,Ajoy K. Ghatak,K. Thyag Book 2002 Springer Science+Business Media New York 2002 adaptive opt
描述Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat‘s principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton‘s principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat‘s principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade h
出版日期Book 2002
关键词adaptive optics; analog; classical mechanics; communication; Counter; energy; light propagation; mechanics;
版次1
doihttps://doi.org/10.1007/978-1-4615-1711-5
isbn_softcover978-1-4613-5690-5
isbn_ebook978-1-4615-1711-5
copyrightSpringer Science+Business Media New York 2002
The information of publication is updating

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发表于 2025-3-22 00:04:01 | 显示全部楼层
,Fermat’s Principle,n either of the fields. One of the most basic analogy is between the Fermat’s principle in optics and the Hamilton’s principle of least action in classical mechanics [.]. As in classical mechanics, we can use either the Lagrangian or the Hamiltonian formulations to further study properties of light
发表于 2025-3-22 03:12:42 | 显示全部楼层
The Optical Lagrangian and the Ray Equation,grangian, the integration is over time, ..(.=,2,…) represent the generalized coordinates and dots represent differentiation with respect to time. Equation (1) is referred to as the Hamilton’s principle of least action. From {zyEq.(1)|33-1} it is possible to derive the Lagrange’s equations of motion
发表于 2025-3-22 07:23:02 | 显示全部楼层
Ray Paths in Bent Waveguides,ems [.–.]. When rays in multimode waveguides encounter bends there are radiation losses; these losses are either by refraction or by tunneling. The fractional loss of power when a ray is reflected from an outer caustic along the ray path is usually calculated by using the WKB method. Hence it is ess
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Geometrical Theory of Third-Order Aberrations,proximation, i.e., the rays forming the image were assumed to lie infinitesimally close to the axis and to make infinitesimally small angles with it. It was found that the images of point objects were perfect, i.e., all rays starting from a given object point were found to intersect at . point, whic
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Vasudevan Lakshminarayanan,Ajoy K. Ghatak,K. Thyagarajan
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