Computational methods for electromagnetic and optical by Banerjee, Partha P.; Jarem, John M

Computational methods for electromagnetic and optical by Banerjee, Partha P.; Jarem, John M

By Banerjee, Partha P.; Jarem, John M

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For large crystal lengths, and for smaller beam spot sizes focused at the entrance of the crystal, the beam amplitude changes with propagation due to diffraction, and consequently results in a gradually decaying interference pattern. 21 Interference pattern in the longitudinal direction for a LiNbO3 crystal. Crystal length is equal to two wavelengths (532 nm) of light (inside). The number of longitudinal steps (n) per wavelength is 100. Spot size is 5 μm. 37 Scalar EM Beam Propagation in Inhomogeneous Media Following the linear cycle, the PR effect is now simulated through a nonlinear cycle of beam propagation.

When two beams are incident on such a medium with a small angle between each other, the induced refractive index profile is responsible for energy exchange between the two beams, a phenomenon referred to as TBC. This energy exchange occurs due to the phase shift between the intensity interference pattern and the induced refractive index pattern [25]. We can effectively study the interaction and the resulting energy exchange between two focused Gaussian beams incident on the material numerically using the split-step method.

Thus far we have analyzed the propagation of a single focused Gaussian beam in a diffusiondominated PR medium. When two beams are incident on such a medium with a small angle between each other, the induced refractive index profile is responsible for energy exchange between the two beams, a phenomenon referred to as TBC. This energy exchange occurs due to the phase shift between the intensity interference pattern and the induced refractive index pattern [25]. We can effectively study the interaction and the resulting energy exchange between two focused Gaussian beams incident on the material numerically using the split-step method.

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