Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Numerical study of the spot size changes of a guided laser pulse through a plasma channel with a density profile with radial and longitudinal variation

Document Type : Original Article

Authors
M. Ghalandari 1
B. Babayar-Razlighi 2
1 Department of Energy Engineering and Physics, Faculty of Electrical and Computer Engineering, University of Science and Technology of Mazandaran, Behshahr, Iran
2 Department of Mathematics, Qom University of Technology, P. O. Box 1519-37195, Qom, Iran
10.30511/ttmp.2024.709741
Abstract
In this paper, guiding of Gaussian laser pulse in plasma channel is numerically investigated. We assumed that the plasma channel has radial and longitudinal changes. We obtained the matched condition for guiding of high-intensity laser pulses through the plasma channel. Using the source-dependent expansion (SDE) method, we ex-tracted four paired equations for pulse amplitude, phase, spot size and inverse of the radius of wave front curvature. Numerical results of equations were obtained using the Runge-Kutta numerical method. Numerical results showed that the normalized laser spot size during propagation in the plasma channel is constant in the matched mode and oscillates for the mismatched mode. The Runge-Kutta method of order 4 has good results for well posed prob-lems. We have considered the functional form of the model and in this work we have shown that our problem is well posed, so the proposed method has satisfactory nu-merical results. The numerical results confirm this concept.
Keywords
Guiding
Runge-Kutta
Matched condition
Plasma channel
Spot size
Subjects
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Transactions in Theoretical and Mathematical Physics
Volume 1, Issue 1
Winter 2024
Pages 14-17

  • Receive Date 06 May 2022
  • Revise Date 29 November 2023
  • Accept Date 15 December 2023
  • First Publish Date 02 January 2024
  • Publish Date 01 February 2024