Combinatorial Frequency Generation in Quasi-Periodic Stacks of Nonlinear Dielectric Layers
School of Electronics, Electrical Engineering & Computer Science, Queen's University Belfast, Queen's Road, Queen's Island, Belfast BT3 9DT, UK
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Crystals 2014, 4(3), 209-227; https://doi.org/10.3390/cryst4030209
Received: 10 May 2014 / Revised: 6 June 2014 / Accepted: 9 June 2014 / Published: 1 July 2014
(This article belongs to the Special Issue Photonic Crystals)
Three-wave mixing in quasi-periodic structures (QPSs) composed of nonlinear anisotropic dielectric layers, stacked in Fibonacci and Thue-Morse sequences, has been explored at illumination by a pair of pump waves with dissimilar frequencies and incidence angles. A new formulation of the nonlinear scattering problem has enabled the QPS analysis as a perturbed periodic structure with defects. The obtained solutions have revealed the effects of stack composition and constituent layer parameters, including losses, on the properties of combinatorial frequency generation (CFG). The CFG features illustrated by the simulation results are discussed. It is demonstrated that quasi-periodic stacks can achieve a higher efficiency of CFG than regular periodic multilayers.
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Keywords:
quasi-periodic structure; nonlinear dielectric; nonlinear scattering; three-wave mixing; combinatorial frequency generation; Fibonacci stack; Thue-Morse sequence
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MDPI and ACS Style
Shramkova, O.; Schuchinsky, A. Combinatorial Frequency Generation in Quasi-Periodic Stacks of Nonlinear Dielectric Layers. Crystals 2014, 4, 209-227. https://doi.org/10.3390/cryst4030209
AMA Style
Shramkova O, Schuchinsky A. Combinatorial Frequency Generation in Quasi-Periodic Stacks of Nonlinear Dielectric Layers. Crystals. 2014; 4(3):209-227. https://doi.org/10.3390/cryst4030209
Chicago/Turabian StyleShramkova, Oksana; Schuchinsky, Alexander. 2014. "Combinatorial Frequency Generation in Quasi-Periodic Stacks of Nonlinear Dielectric Layers" Crystals 4, no. 3: 209-227. https://doi.org/10.3390/cryst4030209
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