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Graphics processing unit‐based solution of nonlinear Maxwell's equations for inhomogeneous dispersive media
Author(s) -
Rudenko Anton,
Colombier JeanPhilippe,
Itina Tatiana E.
Publication year - 2016
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2215
Subject(s) - maxwell's equations , nonlinear system , graphics processing unit , split step method , physics , drude model , iterative method , computation , mathematical analysis , mathematics , computer science , classical mechanics , optics , quantum mechanics , algorithm , operating system
Summary A new approach is developed for fast solution of complex dynamic problems in nonlinear optics. The model consists of the nonlinear Maxwell's equations coupled with time‐dependent electron density equation. The approach is based on the Finite‐Difference Time‐Domain and the auxiliary differential equation methods for frequency‐dependent Drude media with a time‐dependent carrier density, changing due to Kerr, photoionization, avalanche, and recombination effects. The system of nonlinear Maxwell‐Ampere equations is solved by an iterative fixed‐point procedure. The proposed approach is shown to remain stable even for complex nonlinear media and strong gradient fields. Graphics‐processing‐units technique is implemented by using an efficient algorithm enabling solution of massively 3‐dimensional problems within reasonable computation time.