K.I. Konov, K.N. Klimov

Moscow Aviation Institute (National Research University)

The paper describes an integration algorithm with a choice of a variable at each step in the numerical construction of ray trajectories in a medium with a given dependence of the permittivityon coordinates. The convergence of the calculations to the exact solution is estimated using the example of the problem of calculating the trajectories of rays in a Luneberg lens. It is shown that with a decrease in the grid step, convergence to the exact solution is observed.

Purpose. Assess the convergence to an exact solution of an integration algorithm with a choice of a variable at each step using the example of the problem of calculating ray trajectories in a Luneberg lens.

Results. The trajectories of rays incident parallel to the ordinate axis and the trajectories of rays incident at an angle to the ordinate axis are calculated. It is shown that with a decrease in the grid step, convergence of the results to the exact solution is observed. Practical significance. It is shown that an integration algorithm with a choice of a variable at each step provides the construction of ray trajectories with an error in the coordinate not exceeding the grid step for the problem of ray propagation in a Luneberg lens.

Konov K.I., Klimov K.N. Investigation of the convergence of the integration algorithm with the choice of the variable of integration at each step using the example of a Luneberg lens. Radiotekhnika. 2021. V. 85. № 8. P. 69−79. DOI: https://doi.org/10.18127/j00338486202108-08 (In Russian)

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