Visualizing a Nonlinear Response in a Schrödinger Wave

Jia, Pengbo; Li, Zhili; Hu, Yi; Chen, Zhigang; Xu, Jingjun

doi:10.1103/physrevlett.123.234101

Cited by 14 publications

(2 citation statements)

References 24 publications

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“…We finally extend this discussion to more realistic material systems. For instance, consider photorefractive crystals where the nonlinearity is saturable 57 , 58 , as shown in Fig. 3e .…”

Section: Resultsmentioning

confidence: 99%

Universality of light thermalization in multimoded nonlinear optical systems

Zhong

Hassan

et al. 2023

Nat Commun

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Recent experimental studies in heavily multimoded nonlinear optical systems have demonstrated that the optical power evolves towards a Rayleigh–Jeans (RJ) equilibrium state. To interpret these results, the notion of wave turbulence founded on four-wave mixing models has been invoked. Quite recently, a different paradigm for dealing with this class of problems has emerged based on thermodynamic principles. In this formalism, the RJ distribution arises solely because of ergodicity. This suggests that the RJ distribution has a more general origin than was earlier thought. Here, we verify this universality hypothesis by investigating various nonlinear light-matter coupling effects in physically accessible multimode platforms. In all cases, we find that the system evolves towards a RJ equilibrium—even when the wave-mixing paradigm completely fails. These observations, not only support a thermodynamic/probabilistic interpretation of these results, but also provide the foundations to expand this thermodynamic formalism along other major disciplines in physics.

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“…We finally extend this discussion to more realistic material systems. For instance, consider photorefractive crystals where the nonlinearity is saturable 57 , 58 , as shown in Fig. 3e .…”

Section: Resultsmentioning

confidence: 99%

Universality of light thermalization in multimoded nonlinear optical systems

Zhong

Hassan

et al. 2023

Nat Commun

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“…[22] Also, Airy beams can help visualizing the nonlinear response of mediums. [23] The properties of Airy beams mentioned above are closely related to the space-time background, as the properties of Airy beams on curved surfaces have been explored. [24][25][26] Space is curved in principle, as predicted by general relativity (GR), and the consequences are enormous when examined on a cosmic scale.…”

Section: Introductionmentioning

confidence: 99%

Zero Acceleration and Non‐Self‐Healing Airy Beam Propagation near a Black Hole

2022

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In this paper, an analytical expression of Airy beams near a black hole is derived by general relativity concepts. This paper demonstrates the self‐acceleration and the self‐healing properties of Airy beams near a black hole with different Schwarzschild radii. It shows, during transmission, that the equivalent acceleration near a black hole decreases to a minimum negative value, then increases and eventually approaches zero. After propagating a certain distance, the trajectories of Airy beams approaching a black hole may no longer travel along parabolas, but rather almost straight lines due to the existence of the strong gravitational field. The shapes of the wave structure of Airy beams remain unvarying during the transmission, which indicates that the nondiffraction characteristic is still present. Moreover, the self‐healing property of Airy beams near a black hole gradually disappears with the increase of the strength of the gravitational field, because the energy flow to the major lobe is prevented by the gravitational field of the black hole. These intriguing features may open new prospects in the fields of nanophotonic optics, relativistic effects, transformation optics, and so on.

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Detection of Nonlinearity in Photonic Lattices

Jia,

Li,

Xia

et al. 2024

Laser & Photonics Reviews

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Although periodic photonic structures, especially associated with nonlinearity, play a prominent role in optics nowadays, effective detection of their nonlinearity still remains a critical challenge. Here, an approach is proposed to detect the nonlinearity of photonic lattices in a direct way. By properly launching structured beams, namely Airy beams, into the lattices, the nonlinear response function of the discrete system can be directly obtained in the nonlinearly‐shaped beam profiles. To be specific, a single Airy beam is utilized to map self‐defocusing nonlinearity, while self‐focusing nonlinearity, which is hard to visualize in the bulk case, is readily discerned by employing double Airy beams in photonic structures. The proposed method is validated numerically and experimentally by detecting different types of nonlinearities of photonic lattices fabricated in a nonlinear crystal. These findings introduce a promising route for characterizing the nonlinear response of optical structures, thereby broadening the scope of nonlinear measurement and is expected to be extended into other periodic photonic structures.

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Visualizing a Nonlinear Response in a Schrödinger Wave

Cited by 14 publications

References 24 publications

Universality of light thermalization in multimoded nonlinear optical systems

Universality of light thermalization in multimoded nonlinear optical systems

Zero Acceleration and Non‐Self‐Healing Airy Beam Propagation near a Black Hole

Detection of Nonlinearity in Photonic Lattices

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