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Solving of the inverse diffraction problem in the first Rytov approximation for retrieving the phase object dielectric permittivity
E.V. Parkevich 1, A.I. Khirianova 1, T.F. Khirianov 1

1 P.N. Lebedev Physical Institute of the Russian Academy of Sciences,
53 Leninskiy Prospekt, Moscow, 119991, Russia

  PDF, 1726 kB

DOI: 10.18287/2412-6179-CO-1617

Страницы: 749-757.

Язык статьи: English.

Аннотация:
In the study we derive a solution of the inverse diffraction problem aimed at retrieving the dielectric permittivity of a phase object by using the changes in the intensity and phase shift of coherent laser radiation probing the object. The theoretical considerations involve the results of solving the scalar Helmholtz wave equation in the first Rytov approximation. For an axisymmetric phase object probed with a plane wave, both with and without radiation absorption, computationally efficient equations are obtained, which reveal the relationship between the object dielectric permittivity and the Fourier spectra of the diffracted wave characteristics described in terms of the wave intensity and phase shift in free space. The equations provide reliable data when solving the inverse diffraction problem, since they take into account diffraction effects accompanying the wave passage through the object and enhancing in free space. Fundamental properties of the equations obtained are discussed together with their broad applications. The findings can open new perspectives in the diagnostics of various objects in different wavelength ranges.

Ключевые слова:
plane wave diffraction, first Rytov approximation, phase object, intensity, phase shift, direct diffraction problem.

Благодарности
The study was supported by the Russian Science Foundation (Grant No. 24-79-10167).

Citation:
Parkevich EV, Khirianova AI, Khirianov TF. Solving of the inverse diffraction problem in the first Rytov approximation for retrieving the phase object dielectric permittivity. Computer Optics 2025; 49(5): 749-757. DOI: 10.18287/2412-6179-CO-1617.

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