Decomposition method for solving stochastic nonlinear equations of quantum phenomena

Ronald E. Meyers; Keith S. Deacon

doi:10.1117/12.620153

14 September 2005 Decomposition method for solving stochastic nonlinear equations of quantum phenomena

Ronald E. Meyers, Keith S. Deacon

Proceedings Volume 5893, Quantum Communications and Quantum Imaging III; 58930T (2005) https://doi.org/10.1117/12.620153
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

This paper extends the Decomposition Method to analyze photon and electromagnetic radiation transport through random and nonlinear media. The Decomposition Method is extended to solve the Schrodinger equation describing propagation through a nonlinear random media. The Decomposition Method is also applied to solve Maxwell's equations applied to random scattering. This approach can be applied to mathematical problems with general boundary and initial conditions. The Decomoposition Method as developed here can find quickly converging analytic solutions to a wide range of nonlinear and stochastic mathematical problems in quantum communications, quantum imaging, and quantum computing.

Citation Download Citation

Ronald E. Meyers and Keith S. Deacon "Decomposition method for solving stochastic nonlinear equations of quantum phenomena", Proc. SPIE 5893, Quantum Communications and Quantum Imaging III, 58930T (14 September 2005); https://doi.org/10.1117/12.620153

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