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Optics Express

Transverse effect of superradiation due to nonlinear effect in Rb atomic medium

Chen Niu, Xuemei Cheng, Xingjia Tang, Rui Zhou, Haowei Chen, Jintao Bai

Published Oct 28, 2019• 0 citations
Publisher

Abstract

We report on the investigation on the transverse effect of superradiation (SR) in Rb atomic medium by analyzing and comparing the diffraction patterns in the far-field under the circumstances that Gaussian and Bessel beam are taken as the excitation respectively. It is found that Gaussian SR shows a ring-pattern and its beam profile is closely dependent on the incident power and position of the sample cell. The experimental results are in good agreement with the simulations using semi-classical theory of SR together with spatial self-phase modulation (SPM), indicating that the transverse effect of SR is mainly attributed to its propagation in the nonlinear medium. By contrast, the beam profile of Bessel SR is hardly influenced by the input power thanks to its non-diffraction property. The comparison further confirms that the transverse effect of the SR is the result of the nonlinear effect for SR. This work provides useful information in understanding the physics behind the transverse effect of SR, which would be of significance in the applications of SR, such as enhancement on the beam quality and efficiency of the SR sources.

DOI
10.1364/oe.27.033090

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We report on the investigation on the transverse effect of superradiation (SR) in Rb atomic medium by analyzing and comparing the diffraction patterns in the far-field under the circumstances that Gaussian and Bessel beam are taken as the excitation respectively. It is found that Gaussian SR shows a ring-pattern and its beam profile is closely dependent on the incident power and position of the sample cell. The experimental results are in good agreement with the simulations using semi-classical theory of SR together with spatial self-phase modulation (SPM), indicating that the transverse effect of SR is mainly attributed to its propagation in the nonlinear medium. By contrast, the beam profile of Bessel SR is hardly influenced by the input power thanks to its non-diffraction property. The comparison further confirms that the transverse effect of the SR is the result of the nonlinear effect for SR. This work provides useful information in understanding the physics behind the transverse effect of SR, which would be of significance in the applications of SR, such as enhancement on the beam quality and efficiency of the SR sources.
Nonlinear atomic media are promising substitutes for spatial light modulators (SLMs) owing to the high tunability and fast response. We demonstrate the generation of high-order Bessel-like beam based on cross-phase modulation in 85 Rb atoms. The atomic medium, whose refractive index is spatially modulated by the focused Gaussian pump beam, acts as a nonlinear focusing lens for the Laguerre-Gaussian probe beam. As a result, the probe beam carries the nonlinear phase shift and is converted into a Bessel-like mode in far-field diffraction. The superior self-healing ability of the generated high-order Bessel-like beam is verified by inserting an obstruction in the beam path, and its high tunability is investigated in terms of the pump beam power and vapor temperature. Furthermore, this novel beam is used in an obstruction-immune rotation sensor to measure the angular velocity. Nonlinear atomic medium as a novel SLM promises considerable application prospects in modulating the light field structure.
In this work we present a study of the far-field diffraction intensity patterns in the Rb atomic medium. It is found that the far-field diffraction intensity patterns are intimately related to the incident frequency, power, the atomic number density and the position of the sample. The results demonstrate that the far-field diffraction intensity patterns can sensitively reflect the nonlinear optical properties of the medium. The information obtained is of meaning in the application fields, such as the nonlinearity of the medium measuring, optical limiting.
Nonlinear optical transverse effects, which arise from the interaction of a Gaussian beam with a nonlinear medium, are discussed. They are cw on-resonance enhancement (CORE), cw off-resonance rings, crosstalk, intracavity phase switching, self-defocusing of a bistable etalon, and thin-sample-encoding (TSE) self-lensing (i.e., self-focusing or self-defocusing) bistability and instabilities. CORE is the enhancement of the on-axis intensity of an on-resonance laser beam in a two-level medium. We report the first observation of CORE using sodium vapor. Cw off-resonance rings, resulting from a pure phase encoding or from simultaneous phase and amplitude encodings, are observed using sodium vapor. These rings have been observed many time before, but we have made the first careful comparison with numerical calculations. Parallel operation and external switching are two crucial themes for the application of bistable optical devices (BODs). For parallel operation, crosstalk between nearby BODs on the same etalon due to diffraction coupling may need to be avoided. Minimum separations needed to ensure independent operation are computed. For external switching, intracavity phase switching using a plane-wave input can switch on (or off) a BOD using an external pulse. The validity of this concept for a Gaussian input is numerically simulated. Self-defocusing effects, resulting in some interesting effects in the transverse bistable loops, are observed using a GaAs-GaAlAs bistable etalon. The results are confirmed by numerical simulations. TSE self-lensing bistability is observed using a short sodium cell and a single mirror. TSE self-lensing bistability results from an enhancement in the feedback via self-lensing of the beam. The lack of an optical resonator and the use of a thin medium make TSE setup a good candidate to study the Ikeda instability. We report the first observation of the Ikeda instability in this all-optical passive system using a cw input. Numerical simulations show a rich bifurcation sequence not yet fully studied experimentally.
Propagation of a weak probe optical beam through a three- level medium pumped with a microwave strong beam is numerically studied. Three various schemes of transitions under the conditions providing the amplification of the probe field without inversion are taken to calculate the atomic polarization which enters the paraxial wave equations. Diffraction and self-action of beams due to nonlinear absorption and refraction are properly taken into account. These effects together with linear absorption and refraction form a complex distribution of gain across the beams. As a result the amplified beam acquires ring transverse patterns and slight asymmetry in the frequency characteristics.
This paper deals with the strongly nonlinear regime of the atom and field interaction which arises for both high cw input intensities and large absorption. The intensity of the light inside the medium is then highly nonlinear with respect to the incident one, the order of magnitude of the nonlinearity being approximately $\ensuremath{\alpha}1$, for a cell of length lll and an absorption length ${\ensuremath{\alpha}}^{\ensuremath{-}1}$. The transverse effects related to such a regime are analytically treated. They are shown to induce self-focusing, blooming, and also spatial ringing. These features strongly depend on the distance of the screen from the cell, on the detuning between the incident wavelength and that of the atomic transition, and on the input intensity. For self-focusing, analytical expressions of the focal point, of the waist, and of the maximum intensity are given. This model for transverse effects in strong nonlinear propagation of pulses would contribute to explain recent anomalous observations.
There are abundant nonlinear effects in atomic vapor. In this paper, the phenomenon of laser breaking up into filaments is studied in the near-resonant rubidium atomic vapor，which is induced by the strong nonlinear Kerr effect. When the continuous-wave laser beam with transverse Gaussian distribution passes through the atomic vapor, the pattern arising from the coherent superposition of the diffraction patterns of filaments is observed. We also investigated the influence on the mode pattern by input power of laser, the temperature of the vapor cell and the frequency detuning of pump light. Due to the hyperfine structure of rubidium atoms, the four-wave mixing effect exists in hot rubidium atomic vapor, which is related to the third-order nonlinear effect closely. The Raman gain of the Stokes and anti-Stokes photons is observed by scanning the frequency of the probe beam.