Read e-book online Computational Methods for Electromagnetic and Optical PDF

By Banerjee, Partha P.; Jarem, John M

ISBN-10: 1439891281

ISBN-13: 9781439891285

ISBN-10: 1446877426

ISBN-13: 9781446877425

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Extra resources for Computational Methods for Electromagnetic and Optical Systems, Second Edition

Example text

This profile is called a temporal soliton and can be regarded as a nonlinear eigenmode of the NLS system. 8. 35 can be handled in the temporal frequency domain by using Fourier transforms, similar to the case of propagational diffraction. 8 Evolution of a first order 1-D soliton. (From Nehmetallah, G. A. O. , Research Signpost, Trivandrum, India, 2007. 9 Evolution of a second order 1-D soliton. (From Nehmetallah, G. A. O. , Research Signpost, Trivandrum, India, 2007. ) exp{Sˆ Δz} = exp − j γ ʹ ue Δz .

In what follows, we outline the use of the BPM, suitably modified to include forward and backward propagation, to determine the energy exchange during self-pumped TBC in a reflection grating geometry. It turns out that a PR material like LiNbO3 has contributions to its PR effect from diffusion as well as the PV effect, where the latter gives rise to an induced refractive index profile in phase with the intensity profile, further complicating the analysis. The bi-directionality of the simulation (opposing directions of the pump and signal beams) is handled by treating the two counter-propagating directions in sequence and then using an iterative shooting method to find the converged solution.

Domain. 1. , the symmetrized split-step Fourier method, and the leap-frog techniques; these are discussed in detail elsewhere [2]. 4 BEAM PROPAGATION IN LINEAR MEDIA In this section, we will illustrate various cases where the BPM can be used to analyze propagation in inhomogeneous media. 11 with t (time), and making the linear spatial transverse differential operator a similar differential operator in z. 11 can model the propagation of one dimensional longitudinal pulse through an optical fiber with arbitrary group velocity dispersion.

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Computational Methods for Electromagnetic and Optical Systems, Second Edition by Banerjee, Partha P.; Jarem, John M

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