Title :
3-dimensions analytical modeling of the optical carriers injection in a semiconductor substrate
Author :
Gary, René ; Arnould, Jean-Daniel ; Pananakakis, Georges ; Vilcot, Anne
Author_Institution :
IMEP, UMR CNRS/INPG/UJF, Grenoble, France
Abstract :
In order to be faster and more precise than numerical way in the computation of the photo-induced plasma in semiconductor, we have to use an analytical approach to solve the problem. In this study, we use the Hankel transform to simplify the resolution of the differential equation of second order with non-constant coefficient, known as the diffusion equations. As a result, we obtain the 3-dimensions carrier density based on all the physical parameters of the substrate and of the laser beam and so we are able to study the sensibility to several parameters.
Keywords :
Hankel transforms; carrier density; differential equations; semiconductor lasers; substrates; 3D analytical modeling; Hankel transform; carrier density; differential equation; diffusion equations; laser beam; nonconstant coefficient; optical carriers injection; semiconductor photoinduced plasma; semiconductor substrate; Analytical models; Charge carrier processes; Electron beams; Equations; Fourier transforms; Laser beams; Optical control; Optical sensors; Particle beams; Substrates; 3D resolution; Hankel transforms; optical control; photo-induced;
Conference_Titel :
Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, 2005. MAPE 2005. IEEE International Symposium on
Print_ISBN :
0-7803-9128-4
DOI :
10.1109/MAPE.2005.1617949
