Functional Analytic Formulation of Fresnel Diffraction

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概要

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• The theory of Fresnel diffraction is developed strictly by means of functional analytic method. Fresnel transforms and inverse Fresnel transforms, which give a basis for Fresnel diffraction, are formulated systematically in terms of Fresnel diffraction operator T(z). Then, it is shown that the set {T(z)} is a one-parameter group of unitary and factor-type operators from the algebraic and topological properties of T(z). Furthermore, from the representation with respect to the infinitesimal operator of T(z), the differential formulation of Fresnel diffraction is obtained. This infinitesimal operator, which is -ik times the paraxial approximate expression of the quantized Hamiltonian operator of the variational problem which is given by Fermat's principle in optics, is closely related to the light ray slope.

• 社団法人応用物理学会の論文
• 1973-03-05

著者

• Aoyagi Nobuo

  Department Of Electrical Engineering Faculty Of Engineering Tokyo Institute Of Technology

• YAMAGUCHI Schoichiro

  Department of Electrical Engineering, Faculty of Engineering, Tokyo Institute of Technology

• Yamaguchi Schoichiro

  Department Of Electrical Engineering Faculty Of Engineering Tokyo Institute Of Technology

関連論文

• POPULATION PHARMACOKINETIC APPROACH TO BIOAVAILABILITY EVALUATION FOR PHENYTOIN POWDERS
• Generalized Fresnel Transformations and Their Properties
• Kernel Expansions of Generalized Fresnel Transform
• Functional Analytic Formulation of Fresnel Diffraction

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