On a novel mode-solver and beam propagation method based on Galerkin approach and Arnoldi iteration technique |
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Authors: | Michele A. Forastiere Giancarlo C. Righini |
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Affiliation: | (1) Optoelectronics and Photonics Department, IROE-CNR ’Nello Carrara’, Via Panciatichi 64, 50127 Firenze, Italy |
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Abstract: | In this work, a modified Galerkin method is used to study the modal and propagation behaviour of generic integrated optical structures. The paraxial propagation equation is solved through non-linear mapping of the transverse plane and subsequent Galerkin approach. The differential equation is thus transformed into a specific finite-dimension linear problem. The field evolution is then calculated step-wise by approximating the exponential propagator through an Arnoldi iterative procedure. A similar approach is applied to the corresponding eigenproblem. |
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Keywords: | Arnoldi algorithm beam propagation method Galerkin method mode-solver optical waveguides |
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