Mathematical Modelling for Semiconductor and Piezoelectric Media
Ashwani Kumar *
Department of Physics, NSCBM Government College Hamirpur (H.P.), 177005, India.
*Author to whom correspondence should be addressed.
Abstract
In this analysis the importance of mathematical modelling of the physical systems has been outlined. The constitutive relations and basic governing equations of motion for homogeneous isotropic elastic semiconductor (n-type) and homogeneous transversely isotropic ( class) piezoelectric elastic media, in the absence of body forces and electric sources are made non-dimensional in order to reduce the mathematical complexity. All the obtained equations are rewritten in matrix form. Then considering the harmonic wave solution the eigen values and eigen vectors are calculated to obtained the formal solution of the problem.
Keywords: Piezoelectric, semiconductor, transversely isotropic, cardano method