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Laser Physics Letters

Controlling 2D-fraunhofer diffraction in nonlinear optomechanical systems with atomic ensembles

Ning Fu, Pengju Kuang, Lei Ni, Yongjun Huang, Boyu Fan

Published Jan 1, 2026• 2 citations
Publisher

Abstract

Abstract In this letter, we propose a novel nonlinear optomechanical system for generating a two-dimensional (2D) optical grating. The system comprises a Fabry–Pérot cavity with a fixed mirror, movable end mirror, degenerate optical parametric amplifier (OPA), and ensemble of identical two-level atoms. By applying a 2D asymmetric standing wave as the driving field, the probe light can be diffracted in the x - and y -directions with different intensities, leading to an asymmetric optomechanically induced grating. The amplitude and phase modulations of the output probe light and the resulting Fraunhofer diffraction patterns were investigated. The results show that the atomic ensemble plays a crucial role in controlling the efficiency and asymmetry of 2D gratings. We demonstrate that by tuning the nonlinear gain of the OPA and higher-order excitations of the atoms, the transparency of the medium can be enhanced, leading to greater transmission of probe energy and transfer to higher diffraction orders. The proposed system offers a novel approach for generating asymmetric 2D optical gratings in optomechanical devices with potential applications in quantum information science.

DOI
10.1088/1612-202x/ae347b

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Scientific Reports•Oct 20, 2021•70 citations
Abstract In this letter, we propose a novel nonlinear optomechanical system for generating a two-dimensional (2D) optical grating. The system comprises a Fabry–Pérot cavity with a fixed mirror, movable end mirror, degenerate optical parametric amplifier (OPA), and ensemble of identical two-level atoms. By applying a 2D asymmetric standing wave as the driving field, the probe light can be diffracted in the x - and y -directions with different intensities, leading to an asymmetric optomechanically induced grating. The amplitude and phase modulations of the output probe light and the resulting Fraunhofer diffraction patterns were investigated. The results show that the atomic ensemble plays a crucial role in controlling the efficiency and asymmetry of 2D gratings. We demonstrate that by tuning the nonlinear gain of the OPA and higher-order excitations of the atoms, the transparency of the medium can be enhanced, leading to greater transmission of probe energy and transfer to higher diffraction orders. The proposed system offers a novel approach for generating asymmetric 2D optical gratings in optomechanical devices with potential applications in quantum information science.
Abstract We investigate theoretically the Fraunhofer diffraction pattern of the output field in a nonlinear optomechanical cavity with a degenerate optical parametric amplifier (OPA) and a higher order excited atomic ensemble. Studies show that the higher-order-excitation atom, which is similar to the degenerate OPA that acts as a nonlinear medium, induces an electromagnetically induced grating in the output spectrum of the probe field. The coherence of the mechanical oscillator leads to transfer of the probe energy in different diffraction orders of the probe field spectrum such that the phenomenon of optomechanically induced grating is generated from the output probe field. In particular, the presence of nonlinearities with the degenerate OPA and the higher order excited atoms can significantly affect the efficiency of the diffraction pattern providing an additional flexibility for controlling optical properties.
Abstract The phenomena of electromagnetically induced gratings are theoretically discussed in a hybrid cavity system consisting of a three-level atomic scheme, a mechanical resonator, and an optical cavity. A driving light with a two-dimensional standing wave pattern interacts with a three-level medium. We discovered that the input–output cavity field can be altered on a regular basis, which leads to modification of the weak probe light’s Fraunhofer diffraction pattern at the resonance frequency. Thus, by parametric modulation of the system such as the driving light’s intensity and cavity parameters, we may regulate the energy of the probe field in different orders of the grating. Our simulations may offer a versatile method for regulating atomic gratings in hybrid optomechanical systems.
Abstract In this letter, we discuss the Fraunhofer diffraction in a hybrid system composed of an optomechanical cavity and a three-level atomic system. The hybrid system interacts via a cavity mode as a probe field and a standing-wave (SW) field from which the atomic system is derived. The susceptibility can be influenced by the interaction between the cavity mode, the atomic system and the oscillating mirror of the optomechanical cavity. The interaction between the cavity mode and the atomic ensemble leads to the generation of nonlinear equations which are solved via the perturbation method. Here, we have found that the amplitude and phase modulation of the system can be controlled via cavity detuning and the intensity of the SW field. By adjusting the amplitude and phase modulations of the system, the Fraunhofer diffraction of the probe field can be controlled easily for different orders of the grating.
Abstract A scheme for two-dimensional (2D) electromagnetically induced grating via spatial gain and phase modulation is presented in a two-level atomic system. Based on the interactions of two orthogonal standing-wave fields, the atom could diffract the weak probe beam into high-order directions and a 2D diffraction grating is generated. It is shown that the diffraction efficiency of the grating can be efficiently manipulated by controlling the Rabi frequencies of control fields, the detunings of the control and probe fields, and interaction length. Different from 2D cross-grating via electromagnetically induced transparency in a four-level atomic system, the present scheme results from the spatial modulation of gain and phase in a simple two-level system, which could lead to 2D gain-phase grating with larger diffraction intensities in the diffraction directions. The studies we present may have potential applications in developing photon devices for optical-switching, optical imaging and quantum information processing.
Abstract The experimental realization of two-dimensional (2D) electromagnetically induced grating is explored by monitoring the Fraunhofer diffraction pattern in a microwave-driven four-level Y-type atomic medium under the action of two orthogonal standing-wave (SW) fields. Due to the position-dependent atom–field interaction, the information about the high diffraction order of the probe light can be obtained via the Fraunhofer diffraction pattern of the probe light. It is found that the diffraction behavior is significantly improved due to the joint quantum interference induced by the SW and microwave-driven cycling fields. Most importantly, the amplitude and phase diagram of the transmission function of the probe light can be modulated at a particular position and the probe energy may transfer to the high orders of the diffraction by properly adjusting the system parameters. The proposed scheme may provide a promising way to achieve highly sensitive diffraction patterns with applications in quantum information processing.
We propose a theoretical scheme for creating a two-dimensional Electromagnetically Induced Grating in a three-level [Formula: see text]-type atomic system interacting with a weak probe field and two simultaneous position-dependent coupling fields-a two dimensional standing wave and an optical vortex beam. Upon derivation of the Maxwell wave equation, describing the dynamic response of the probe light in the atomic medium, we perform numerical calculations of the amplitude, phase modulations and Fraunhofer diffraction pattern of the probe field under different system parameters. We show that due to the azimuthal modulation of the Laguerre-Gaussian field, a two-dimensional asymmetric grating is observed, giving an increase of the zeroth and high orders of diffraction, thus transferring the probe energy to the high orders of direction. The asymmetry is especially seen in the case of combining a resonant probe with an off-resonant standing wave coupling and optical vortex fields. Unlike in previously reported asymmetric diffraction gratings for PT symmetric structures, the parity time symmetric structure is not necessary for the asymmetric diffraction grating presented here. The asymmetry is due to the constructive and destructive interference between the amplitude and phase modulations of the grating system, resulting in complete blocking of the diffracted photons at negative or positive angles, due to the coupling of the vortex beam. A detailed analysis of the probe field energy transfer to different orders of diffraction in the case of off-resonant standing wave coupling field proves the possibility of direct control over the performance of the grating.