Far field intensity distributions due to spatial self phase modulation of a Gaussian beam by a thin nonlocal nonlinear media

Ramírez, Eleazar; Carrasco, M. L. Arroyo; Otero, M. M. Méndez; Cerda, S. Chávez; Castillo, M. D. Iturbe

doi:10.1364/oe.18.022067

Cited by 57 publications

(33 citation statements)

References 15 publications

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“…Since we observed in the experiments nonlinear absorption, we required a theoretical model that allows us to perform adjustments to the experimental curves with large phase changes and nonlocal response in the simultaneous presence of both nonlinear refraction and nonlinear absorption. Hence, we used output field of a medium with nonlinear absorption and refraction given by [9], where we introduced nonlocal response using the same proposal given by [15,16]. The experimental curves are in agreement with the theoretical results, indicating that the medium has a high nonlinear nonlocal response.…”

Section: Introductionsupporting

confidence: 52%

“…al. [15,16], which calculates the far-field intensity distribution of a Gaussian beam propagating in a nonlocal nonlinear thin medium. They consider a Gaussian beam with amplitude of the form,…”

Section: Mathematical Modelmentioning

confidence: 99%

“…al. [15,16]. Thus, the detection to far field, with and without nonlinear absorption, is calculated using the Fourier transform of Eqs.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…al. [15,16], m = 1 represents a strong nonlocal nonlinearity; m = 2 local nonlinearity, and m = 4 weak nonlocal nonlinearity. The second condition occurs when 0 7.5    (R = 47.123), then 00    , as it is shown in Fig.…”

Section: Mathematical Modelmentioning

confidence: 99%

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Nonlocal nonlinear refraction in Hibiscus Sabdariffa with large phase shifts

et al. 2014

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In this work we present a study of nonlinear optical properties in organic materials (hibiscus sabdariffa). Our results demonstrate that the medium exhibits a highly nonlocal nonlinear response. We show preliminary numerical results of the transmittance as nonlocal response by considering, simultaneously, the nonlinear absorption and refraction in media. Numerical results are accord to measurement obtained by Z- scan technique where we observe large phase shifts. We also analyze the far field diffraction ring patterns of the sample.

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Section: Introductionsupporting

confidence: 52%

Section: Mathematical Modelmentioning

confidence: 99%

“…al. [15,16]. Thus, the detection to far field, with and without nonlinear absorption, is calculated using the Fourier transform of Eqs.…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

See 2 more Smart Citations

Nonlocal nonlinear refraction in Hibiscus Sabdariffa with large phase shifts

et al. 2014

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“…The ring pattern is caused by the interference of spatial variations of self-phase modulation, as explained in refs. [30,31]. Moving the crystal away from the focus significantly reduces the distortions while the spectral broadening is still respectable.…”

Section: Effects Of Self-phase Modulation On the Beam Profilementioning

confidence: 99%

Pulse Compression of Ultrashort UV Pulses by Self-Phase Modulation in Bulk Material

2013

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Abstract:The bandwidth of ultrafast pulses in the UV is limited by the finite acceptance bandwidth of the nonlinear crystals used for their generation. For fundamental laser pulses it is well established that spectral broadening can be used to overcome intrinsic bandwidth limits. We show that self-phase modulation of UV pulses in bulk materials leads to large spectral broadening and allows for a significant reduction of the pulse duration. We find that for pulse energies in the range of a few μJ, a thin crystal is favorable due to the strong dispersion in the UV and the limitations set by self-focusing. In contrast to spectral broadening in gaseous media, the self-focus has to lie outside the crystal to avoid beam break up. We focus UV pulses into a 1 mm thick CaF 2 crystal. For moderately short input pulses, a shortening factor up to 2.4 is achieved: the 120 fs long third harmonic output of a Ti:sapphire amplifier is compressed down to 50 fs FWHM. For a central wavelength of 315 nm, we generate pulses as short as 14.9 fs after compression with an UV pulse shaper. In both cases the resulting beam shape is close to Gaussian and fully usable for spectroscopic experiments. We use the pulses in a collinear 2D-UV experiment and clearly resolve vibronic off-diagonal peaks of the S 2 1 B 2u vibronic progression of pyrene.

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Nonlinear Optical Response in Natural van der Waals Heterostructures

Yang

et al. 2020

Advanced Optical Materials

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Van der Waals heterostructures (vdWH) composed from individual 2D crystals offer a platform to obtain unprecedented functionalities that are not accessible in other heterostructures. The research to date has been largely limited to exfoliated and restacked flakes, and the controlled growth of such heterostructures remains a significant challenge. Here, an experimental study of the broadband nonlinear optical performance of a naturally occurring vdWH franckeite is presented, which is composed of alternating SnS2‐like and PbS‐like layers stacked on top of each other. Few‐layer franckeite is prepared via liquid‐phase exfoliation method and its broadband ultrafast third‐order nonlinear optical behavior is characterized experimentally. It is found that the layered franckeite exhibits broadband nonlinear optical response and the ultrafast carrier dynamics with the intraband carrier recovery time of ≈16 ps and the interband carrier recovery time of ≈300 ps. With the large optical nonlinearity of layered franckeite, the all‐optical modulator and switcher have been demonstrated based on the spatial phase modulation effect. The experimental results provide a fundamental understanding of the ultrafast nonlinear optical response in a complex naturally occurring vdWH, and may pave an avenue toward developing novel broadband optoelectronic devices.

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Far field intensity distributions due to spatial self phase modulation of a Gaussian beam by a thin nonlocal nonlinear media

Abstract: In this work we present a simple model that can be used to calculate the far field intensity distributions when a Gaussian beam cross a thin sample of nonlinear media but the response can be nonlocal.

Cited by 57 publications

References 15 publications

Nonlocal nonlinear refraction in Hibiscus Sabdariffa with large phase shifts

Nonlocal nonlinear refraction in Hibiscus Sabdariffa with large phase shifts

Pulse Compression of Ultrashort UV Pulses by Self-Phase Modulation in Bulk Material

Nonlinear Optical Response in Natural van der Waals Heterostructures

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