Nonlinear FDTD formulations using Z transforms
- 1 March 1995
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Microwave Theory and Techniques
- Vol. 43 (3) , 676-682
- https://doi.org/10.1109/22.372115
Abstract
An implementation of the FDTD method for nonlinear optical simulation is described, This method draws on ideas from digital filtering theory by formulating the nonlinearities using Z transforms, This provides a means of directly calculating the nonlinear polarizations in a straightforward manner, Further, an analytic expression for the reflection coefficient from a nonlinear dielectric is described and used to confirm the accuracy of the nonlinear FDTD formulation. Finally, a one-dimensional nonlinear FDTD simulation is used to calculate soliton propagation in nonlinear media.Keywords
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