Refinement of calculation of the parameters of a light diffraction on flat objects
https://doi.org/10.18384/2949-5067-2024-3-58-67
Abstract
Aim is refinement of the calculation of the diffracted light field from flat objects within the framework of the classical Kirchhoff’s approach. This implies the derivation of analytical formulas taking into account the cubic terms of the phase expansion and subsequent analysis of the limit transitions.
Methodology. By obtaining the analytical formulas for diffracted fields, the method of “stationary phase” was applied.
Results. The formulas for the diffracted field with taking into account the cubic term of the phase expansion are obtained, from which obtains the well known formulas of diffraction of light in a private manner.
Research implications. The theoretical significance of the proposed methodology is the limiting transition to special cases, based on one general problem. Thus, from the problem of light diffraction by a slit, as a special case, appears the problem of light diffraction from a half-plane. By rotating the coordinate system, you can combine the angle of incidence of light with the angle of rotation, in results obtains the same formulas as for normal incidence. The use of symmetry elements of an object, analysis of limit transitions, and choose of a successful observation point allows, in a number of cases, to solve complex diffraction tasks. The given technique of calculation can be used in practical lessons on electrodynamics for determination of diffracted field from various objects
About the Author
T. T. Muratov
Tashkent State Pedagogical University named after Nizami
Uzbekistan
Uzbekistan
Temur T. Muratov – Doctor of Philosophy in Physical and Mathematical Sciences (PhD), Senior Teacher, Department of methodology teaching physics
ulitsa Bunyodkor 27, Tashkent 100185
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