An effective z-stretching method for paraxial light beam propagation simulations
A z-stretching finite difference method is developed for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing a domain transformation in the z-direction, we solve the corresponding complex difference equations containing an interface singu...
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| Veröffentlicht in: | Journal of computational physics 2008-07, Vol.227 (15), p.7264-7278 |
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| container_issue | 15 |
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| container_title | Journal of computational physics |
| container_volume | 227 |
| creator | Gonzalez, Leonel Guha, Shekhar Rogers, James W. Sheng, Qin |
| description | A z-stretching finite difference method is developed for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing a domain transformation in the z-direction, we solve the corresponding complex difference equations containing an interface singularity over a computational space for great simplicity and efficiency. A specially designed matrix analysis is constructed to the study the numerical stability. Computational experiments are carried out for demonstrating our results. |
| doi_str_mv | 10.1016/j.jcp.2008.04.019 |
| format | Article |
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| ispartof | Journal of computational physics, 2008-07, Vol.227 (15), p.7264-7278 |
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| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | APPROXIMATIONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computational techniques Consistency Domain transformation EQUATIONS Exact sciences and technology Finite difference approximations FINITE DIFFERENCE METHOD Interface singularity Light beam propagation Mathematical methods in physics MATRICES Physics SIMULATION SINGULARITY STABILITY TRANSFORMATIONS Uniform and nonuniform grids VISIBLE RADIATION |
| title | An effective z-stretching method for paraxial light beam propagation simulations |
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