Title :
Local interpolatory cardinal spline (LICS) method in solving linear and nonlinear Schrodinger equation
Author :
Chen, J.J. ; Zha, J. ; Du, M. ; Goswami, J.C. ; Chan, A.K. ; Chui, C.K.
Author_Institution :
Dept. of Electro-Opt. Eng., Nat. Yunlin Polytech. Inst., Huwei, Taiwan
Abstract :
The Schrodinger equations is often used in analysing quantum well devices and describing wave propagation in nonlinear optical fibres. A numerical method that can be used for solving these equations is presented. The local interpolatory cardinal spline (LICS) method can be constructed by a combination of two methods: the quasi-interpolation method and the local interpolation formula. A "blending" operation is used so that the function f(x) can be formulated by the LICS expansion.
Keywords :
Schrodinger equation; interpolation; nonlinear equations; nonlinear optics; optical fibre theory; semiconductor quantum wells; splines (mathematics); linear Schrodinger equation; local interpolation formula; local interpolatory cardinal spline; nonlinear Schrodinger equation; nonlinear optical fibres; numerical method; quantum well devices; quasiinterpolation method; wave propagation; Dielectric constant; Electrons; Gallium arsenide; Nonlinear equations; Nonlinear optics; Optical propagation; Optical solitons; Schrodinger equation; Stationary state;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1995. AP-S. Digest
Conference_Location :
Newport Beach, CA, USA
Print_ISBN :
0-7803-2719-5
DOI :
10.1109/APS.1995.530136
