, Volume 10, Issue 6, pp 2609–2616 | Cite as

Analytical Solutions of Plasma and Thermoelastic Waves Photogenerated by a Focused Laser Beam in a Semiconductor Material

  • Ibrahim A. Abbas
  • K. A. Aly
  • A. Dahshan
Original Paper


In the present work, the coupled plasma theory (thermally and elasticity waves) was used to study the wave propagation of semiconducting sample through photothermal process. The coupled of the plasma, thermally, and elastic waves that photo-generated through intensity modulated laser beam and tightly focused has been considered to study an elastic homogeneous semiconducting medium with isotropic thermo-elastic properties. Laplace transformations were used to investigate analytically solutions in the transformed domain based on the approach of eigenvalue. Numerically calculations were carried out for silicon semiconductor sample. The results were graphical observed to show the influence the coupled wave of plasma, thermal, and elastic.


Photothermal theory Plasma waves Eigenvalue approach Laser beam Laplace transformation 


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The authors would like to express their gratitude to Research Center for Advanced Material –King Khalid University, Saudi Arabia for support.


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceSohag UniversitySohagEgypt
  2. 2.Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Physics, Faculty of Science and Arts - KhulaisUniversity of JeddahJeddahSaudi Arabia
  4. 4.Department of Physics, Faculty of ScienceAl-Azhar UniversityAssuitEgypt
  5. 5.The Research Center for Advanced Materials Science (RCAMS)King Khalid UniversityAbhaSaudi Arabia
  6. 6.Department of Physics, Faculty of SciencePort Said UniversityPort SaidEgypt

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