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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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978-1-4613-5690-5Springer Science+Business Media New York 2002
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https://doi.org/10.1007/978-1-4615-1711-5adaptive optics; analog; classical mechanics; communication; Counter; energy; light propagation; mechanics;
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Ray Paths in Media with Spherical and Cylindrical Symmetry,In this chapter we will discuss the solutions of the Lagrange’s equations for media having spherical and cylindrical symmetry. Ray paths in cylindrically symmetric media are of tremendous importance in fiber optics.
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The Optical Hamiltonian and Study of Paraxial Lens Optics,alculate explicit expressions for various aberration coefficients. In the Hamiltonian formulation, we have first to define the generalized momenta . and . by the relation.. where, as before, dots represent differentiation with respect to . and . is the optical Lagrangian. On substituting the value of . from Eq.(8) of Chapter 3, we find
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An Introduction to Dynamic Programming and Applications to Optics,ineering, Physics, Biology, Economics and even Medicine [.–.]. The problem is usually stated as the minimization of a functional equation. An approach to solving this problem is a technique called dynamic programming which will be introduced in this chapter.
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Introduction,conomy’ postulates in the hands of later scientists acted as the foundation for the development of minimum principles such as Fermat’s principle. If one studies the chronological development in the evolution of minimum principles one can get a profound insight into the continuos transformation of a metaphysical canon into an exact natural law.
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