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Kvantovaya Elektronika, 2024 Volume 54, Number 9, Pages 557–564 (Mi qe18472)

On the occasion of the 90th anniversary of the Lebedev Physical Institute of the Russian Academy of Sciences

Development of numerical methods for applications of coherent radiation in studies of the internal structure of objects (Part II)

A. S. Busarov, A. V. Vinogradov, N. L. Popov, I. A. Artyukov

P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow

Abstract: We consider single-beam 3D imaging, i.e., an approach to reconstructing the complex dielectric constant ε(x, y, z) of a sample in question by processing data read from a detector during successive illumination of a stationary object with different Gaussian beams along the same direction (angle). The propagation of Gaussian beams through an object is described using the parabolic wave equation. The equation for single-beam volume imaging is derived, which relates the data obtained on the detector with the values of the dielectric constants ε(x, y, z). As an example of solving this equation using optimization methods, a simplified case of purely real dielectric constant ε(x, z) in two-dimensional space is considered.

Keywords: coherent microscopy, 3D images, Gaussian beams, structured light, single-beam imaging.

Received: 27.11.2024


 English version:
Quantum Electronics, 2024, 51:suppl. 12, S1010–S1021


© Steklov Math. Inst. of RAS, 2026