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Applied Optics

Electromagnetically induced self-imaging in four-level atomic system

Feng Wang, Chunfang Wang, Jing Cheng, Dawei Zhang

Published Mar 18, 2014• 3 citations
Publisher

Abstract

In this paper, a special gradient-index electromagnetically induced transparency medium is induced with a Gaussian control field, which can be realized in a four-level ⁸⁷Rb cold atomic cloud. Special directional self-imaging and imaging transforming properties are studied in this work. Simulated results show that a complex object can be imaged in the cold atoms, as the control field substituted with the elliptical Gaussian beam, then the self-imaging is directional, which has potental application in encryption.

DOI
10.1364/ao.53.001889

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In this paper, a special gradient-index electromagnetically induced transparency medium is induced with a Gaussian control field, which can be realized in a four-level ⁸⁷Rb cold atomic cloud. Special directional self-imaging and imaging transforming properties are studied in this work. Simulated results show that a complex object can be imaged in the cold atoms, as the control field substituted with the elliptical Gaussian beam, then the self-imaging is directional, which has potental application in encryption.
We study the self-imaging and image-transforming properties of a probe field in a cold atomic medium with electromagnetically induced transparency (EIT). Due to the similarities between the gradient-index medium and the inhomogeneous index distribution of an EIT medium under the conditions of a negative probe detuning and a Gaussian control field, we find based on analytical investigations that there exists a kind of electromagnetically induced self-imaging phenomenon in cold atomic media. Numerical simulations clearly show that electromagnetically induced self-imaging is observable and controllable.
We study the self-imaging and image-transforming properties of a probe field in a cold atomic medium with electromagnetically induced transparency (EIT). Due to the similarities between the gradient-index medium and the inhomogeneous index distribution of an EIT medium under the conditions of a negative probe detuning and a Gaussian control field, we find based on analytical investigations that there exists a kind of electromagnetically induced self-imaging phenomenon in cold atomic media. Numerical simulations clearly show that electromagnetically induced self-imaging is observable and controllable. (c) 2007 Optical Society of America.
Under the circumstance of a Gaussian control field, the cold atomic medium with electromagnetically induced transparency (EIT) turns out to be the special medium with the quadratic index distribution which is controllable online. In our study, the optical system occupies a portion of the EIT medium which acts as an imaging device. With the help of the Collins formula, the analytic expression for the spatial distribution of the probe field in the cold atomic medium is obtained as well as the location of the imaging. The methods for improving the visibility of the imaging are proposed in this paper. Moreover, we also show that the shapes of the images on the output are strongly influenced by the intensity of the control field, which provides a potential optical processing method.
Due to the finite transverse distribution of the control field and cold atoms, there can exist a set of guiding modes for ultraslow signal field propagating in an atomic medium with electromagnetically induced transparency. For cold four-level atoms, these guiding modes can be manipulated by varying the laser fields and atomic distribution. By carefully designing the distribution of the induced refractive index, we show that it is possible to realize single mode operation for slow light propagation which may have practical applications.
A four-level N-type cold atomic system is proposed for optimizing images storage based on the electromagnetically induced transparency (EIT). Both analytical analysis and numerical simulation clearly show that the application, during the storage time, of an additional intensity-modulated signal field and an additional microwave field can impose an intensity and a phase-dependent factors on the atomic spin coherence in a controlled manner, then the amplitude of the retrieved images can be increased or decreased with an enhancement in the visibility. Our results are very promising for the realization of all-optical information processing of images coherently stored in EIT media in the future.
We show the influences of temperature on the self-imaging in the coherent atomic system which consists of four-level 87 Rb atoms. The different-direction self-imaging, the corresponding imaging quality, and the imaging contrast ratio in this Doppler broadening medium are studied. As a result, the imaging-position linearly increases with the temperature, while the quality of the self-imaging does not show clear connection with the temperature. Due to the weaker mutual interference in the higher temperature, the contrast ratios in the two directions increase. The interesting results are important and may have potential applications in imaging storage and processing.