Using the Complex Jacobi Method to Simulate Kerr Non-linear Photonic Components |
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Authors: | Peter Vandersteegen Bjorn Maes Peter Bienstman Roel Baets |
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Affiliation: | 1. Department of Information Technology, Ghent University-IMEC, St.-Pietersnieuwstraat 41, 9000, Ghent, Belgium
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Abstract: | The iterative complex Jacobi technique has been extended to simulate the third order Kerr effect in wavelength scale dielectric structures. This method solves the Helmholtz equation in a discrete finite simulation space by an iterative process. An update equation refines the field values at each iteration step, until a desired accuracy is achieved. We have extended the iterative process with an extra calculation step which allows simulating materials with the non-linear third order Kerr effect. Our adjustment of the discrete field operators in the update equation also introduces PMLs as absorbing boundaries and the total field/scattered field formalism as field source for this method. |
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