I. A. Artyukov, A. S. Busarov, N. L. Popov, A. V. Vinogradov
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引用次数: 0
Abstract
We consider the 3D coefficient inverse problem for parabolic wave equation. It involves determining the spatial distribution of refractive and absorption indices by processing phase diffraction patterns obtained by irradiating an object with a set of Gaussian beams. Unlike tomography and ptychography, rotation or scanning of the sample is not required. The problem is solved by expanding the wave field and the complex dielectric constant \(\varepsilon \left(\overrightarrow{r}\right)\) over the full set of Gaussian beam functions. To determine \(\varepsilon \left(\overrightarrow{r}\right),\) we obtain a nonlinear matrix equation. The condition of its solvability allows the selection of sampling frequencies by coordinates in accordance with the practical task.
期刊介绍:
The journal publishes original, high-quality articles that follow new developments in all areas of laser research, including:
laser physics;
laser interaction with matter;
properties of laser beams;
laser thermonuclear fusion;
laser chemistry;
quantum and nonlinear optics;
optoelectronics;
solid state, gas, liquid, chemical, and semiconductor lasers.