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Proceedings Paper

Development of the integration variable selection method in numerical simulation of electromagnetic wave propagation in the time domain mode
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Paper Abstract

Development of the integration variable selection method for the numerical solution of the Cauchy problem is demonstrated. This method is applicable for the simulation of electromagnetic wave propagation in inhomogeneous media by geometric optics approximation. Usually, in the methods of the numerical solution of the Cauchy problem, the integration is carried out according to one pre-selected variable. This approach does not seem to be the most cost-efficient in terms of computing resources.

The equations of rays and eikonal in finite differences are considered, taking into account the anisotropy of the refractive index. The paper presents a block diagram of the algorithm for choosing the variable of integration. The integration is carried out on the variable selected at the current step, which is assigned the specified step value. The increments of the remaining variables are calculated by expressions depending on the selected integration variable so that the increments on the remaining variables do not exceed the value of the integration variable. The integration variable is selected again and the increments are calculated. This method saves computational resources and minimizes the risk of transition to adjacent phase trajectories. The paper presents a general flowchart of the selection algorithm and expressions for calculating the increments of other variables at each step. The algorithm for calculating increments for each variable is demonstrated. The variable selection algorithm is developed for the case of a 7-dimensional phase space. It includes the projection of the pulse on the three axes of the Cartesian coordinate system, the projection of the coordinate and the phase component. The phase component describes the phase of the wave at the selected point and is analogous to the time dependence.

Paper Details

Date Published: 18 October 2019
PDF: 9 pages
Proc. SPIE 11164, Millimetre Wave and Terahertz Sensors and Technology XII, 111640I (18 October 2019); doi: 10.1117/12.2547837
Show Author Affiliations
Konstantin N. Klimov, Moscow Aviation Institute (Russian Federation)
Irina K. Epaneshnikova, Moscow Aviation Institute (Russian Federation)
Andrey M. Belevtsev, Moscow Aviation Institute (Russian Federation)
Kirill I. Konov, National Research Univ. Higher School of Economics (Russian Federation)
Sergej V. Serebryannikov, National Research Univ. "MPEI" (Russian Federation)
Anatoliy P. Cherkasov, National Research Univ. "MPEI" (Russian Federation)
Sergej S. Serebryannikov, National Research Univ. "MPEI" (Russian Federation)
Anton S. Boldyreff, Southern Federal Univ. (Russian Federation)


Published in SPIE Proceedings Vol. 11164:
Millimetre Wave and Terahertz Sensors and Technology XII
Neil A. Salmon; Frank Gumbmann, Editor(s)

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