The interaction between the exited semiconductor medium with the induced magnetic field is investigated. The medium is taken during a microtemperature process in hydrostatic initial stresses. The problem is studied when the thermal conductivity is variable that depends on the temperature (which can be taken in a linear form of temperature). The main quantities are obtained in the context of the photo-thermoelasticity theory when the medium is in a rotator case. The two dimensions (2D) deformation equations are obtained during the thermo-elastic-plasma transport processes. The governing equations can be investigated under the integral transformations of Fourier and Laplace with the impact of microelements vector. The basic analytical solutions of the physical quantities in this phenomenon are obtained under transformations in the physical domain. The thermal ramp type (heating type) is used with some othermechanical-plasma conditions which they can be applied at the free external surface. To obtain the main solutions of basic quantities in space–time domain, some inversion methods of Fourier and Laplace transformations are applied numerically. Many comparisons between several parameters are made numerically and they are shown graphically and discussed.

研究了激发的半导体介质与感应磁场之间的相互作用。该介质是在静水初始应力下的微温过程中获取的。当热导率随温度（可以采用线性温度形式）变化时，研究该问题。当介质处于旋转器情况下时，主要量是在光热弹性理论的背景下获得的。二维 (2D) 变形方程是在热弹性等离子体传输过程中获得的。控制方程可以在傅里叶和拉普拉斯的积分变换下研究，并具有微量元素矢量的影响。该现象中物理量的基本解析解是在物理域的变换下得到的。热斜坡类型（加热类型）与一些其他机械等离子体条件一起使用，它们可以应用于自由外表面。为了得到时空域基本量的主解，数值应用了傅里叶变换和拉普拉斯变换的一些反演方法。多个参数之间的许多比较都是通过数字进行的，并且以图形方式显示和讨论。