Influence of self- and cross-phase modulations on an optical frequency doubling process for metamaterials

Kasumova, Rena J.; Safarova, G. A.; Ahmadova, Asmar R.; Kerimova, N. V.

doi:10.1364/ao.57.007385

Cited by 4 publications

(1 citation statement)

References 15 publications

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“…In general, the SHG response is inversely proportional to the bandgap. 23 However, it is noteworthy that when the Si content increases from 0 to 50% for ZSGP, bandgaps' enhancement simultaneously accompanies the increasing SHG responses. Although theoretical calculations show that the NLO coefficients decrease with increasing Si content, the decrease of NLO coefficients can be almost ignored when Si content increases from 0 to 50%.…”

Section: ■ Introductionmentioning

confidence: 99%

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂

et al. 2022

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ZnGeP 2 (ZGP) possesses prominent mid-far infrared nonlinear optical (NLO) performance but suffers from a narrow bandgap. A comparative analysis revealed that the bandgap could be enhanced by substituting Si for Ge in ZGP, successfully synthesizing a series of ZnSi x Ge 1−x P 2 crystals with enlarged bandgaps compared with that of ZGP. Interestingly, when the x varies from 0 to 0.5, in addition to obtaining improved bandgaps, the second-harmonic generation (SHG) responses are enhanced simultaneously, which is abnormal because they are usually inversely proportional. Theoretical calculations with special quasirandom structures show that the NLO coefficient decreases gradually with increasing Si content, but the decrease is tiny in the 0−50% range and acute in the 50−100% range of Si. The transmission experiment of the ZnSi 0.25 Ge 0.75 P 2 wafer indicates that the introduction of silicon effectively improves the transmittance in the 1−2 μm range. The enhanced transmittance and maintained NLO coefficients result in a better macroscopic SHG response. Combined with an increased laser-induced damage threshold, the introduction of Si becomes a practical approach to improve performance and extend the application of ZGP crystals.

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Section: ■ Introductionmentioning

confidence: 99%

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂

et al. 2022

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Effects of Self-Phase and Cross-Phase Modulations at Four-Wave Mixing in Optical Fibers

Kasumova

2022

J Russ Laser Res

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Generalized nonlinear Schrödinger equations describing the Second Harmonic Generation of femtosecond pulse, containing a few cycles, and their integrals of motion

2019

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An interaction of laser pulse, containing a few cycles, with substance is a modern problem, attracting attention of many researches. The frequency conversion is a key problem for a generation of such pulses in various ranges of frequencies. Adequate description of such pulse interaction with a medium is based on a slowly evolving wave approximation (SEWA), which has been proposed earlier for a description of propagation of the laser pulse, containing a few cycles, in a medium with cubic nonlinear response. Despite widely applicability of the frequency conversion for various nonlinear optics problems solutions, SEWA has not been applied and developed for a theoretical investigation of the frequency doubling process until present time. In this study the set of generalized nonlinear Schrödinger equations describing a second harmonic generation of the super-short femtosecond pulse is derived. The equations set contains terms, describing the pulses self-steepening, and the second order dispersion (SOD) of the pulse, a diffraction of the beam as well as mixed derivatives. We propose the transform of the equations set to a type, which does not contain both the mixed derivatives and time derivatives of the nonlinear terms. This transform allows us to derive the integrals of motion of the problem: energy, spectral invariants and Hamiltonian. We show the existence of two specific frequencies (singularities in the Fourier space) inherent to the problem. They may cause an appearance of non-physical absolute instability of the problem solution if the spectral invariants are not taken into account. Moreover, we claim that the energy preservation at the laser pulses propagation may not occur if these invariants do not preserve. Developed conservation laws, in particular, have to be used for developing of the conservative finite-difference schemes, preserving the conservation laws difference analogues, and for developing of adequate theory of the modulation instability of the laser pulses, containing a few cycles.

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Influence of self- and cross-phase modulations on an optical frequency doubling process for metamaterials

Cited by 4 publications

References 15 publications

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂

Effects of Self-Phase and Cross-Phase Modulations at Four-Wave Mixing in Optical Fibers

Generalized nonlinear Schrödinger equations describing the Second Harmonic Generation of femtosecond pulse, containing a few cycles, and their integrals of motion

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Influence of self- and cross-phase modulations on an optical frequency doubling process for metamaterials

Cited by 4 publications

References 15 publications

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP2

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP2

Effects of Self-Phase and Cross-Phase Modulations at Four-Wave Mixing in Optical Fibers

Generalized nonlinear Schrödinger equations describing the Second Harmonic Generation of femtosecond pulse, containing a few cycles, and their integrals of motion

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Product

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About

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂

Trade-Off for Better Balanced Nonlinear Optical Performance with Disordered Si in ZnGeP₂