Hyperbolic thermal-plasma wave propagation in semiconductor of organic material

被引:29
作者
Ezzat, Magdy A. [1 ,2 ]
机构
[1] Al Qassim Univ, Coll Arts & Sci, Dept Math, Al Bukairiyah, Saudi Arabia
[2] Alexandria Univ, Fac Educ, Dept Math, Alexandria, Egypt
关键词
Organic semiconductor; photo-thermo-viscoelastic waves; Fourier-Laplace transforms; numerical results; GENERALIZED THERMOELASTIC PROBLEM; 2; RELAXATION-TIMES; FUNDAMENTAL SOLUTION; PLANE-WAVES; RECIPROCITY THEOREMS; NUMERICAL INVERSION; ELASTIC INTERACTION; BOUNDARY-LAYER; UNIQUENESS; VISCOELASTICITY;
D O I
10.1080/17455030.2020.1772524
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Although the thermo-viscoelastic properties of solids have been reported in many articles, no effort has been made to investigate the coupled thermo-viscoelastic and plasma wave behavior of semiconductors based on the photothermal theory. In this work, a new mathematical model of heat and plasma transport has been constructed for semiconductor of viscoelastic material. Some fundamental theorems on the linear coupled and generalized theories can be easily obtained as special cases. A two-dimensional problem is viewed for a half-space of an organic semiconductor plate whose surface is traction free and subjected to an arbitrary time-dependent heat flux. Laplace and Fourier integral transforms are utilized. The carrier density, temperature, thermal stress, and displacement distributions have been obtained through the use of the theoretical model together with plasma and thermo-viscoelastic effects. The inversion technique for Fourier and Laplace transforms is carried out using a numerical technique based on Fourier series expansions. Comparisons are made with the results anticipated through the coupled idea and generalized theory. The influence of the some parameters on all the regarded fields is examined for different theories.
引用
收藏
页码:334 / 358
页数:25
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