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Chinese Physics Letters

Transverse Optical Properties of the Eu 3+ :Y 2 SiO 5 Crystal in Electromagnetically Induced Transparency

Li-Ru Yang, Chunfang Wang, Dawei Zhang

Published Jun 1, 2015• 1 citation
Publisher

Abstract

According to density matrix equations of the interaction between light and matter, the expression for the susceptibility of the Eu 3+ :Y 2 SiO 5 crystal is obtained. When the control field is a Gaussian beam, we investigate and analyze the influence of probe detuning, the Rabi frequency of the control field and the laser line width on the transverse optical properties. We also analyze the influence of the dope-ion concentration on electromagnetically induced transparency (EIT). The analysis result indicates that the transmission is not a monotonic function of the dope-ion concentration. Based on the influences of various parameters on the transverse optical properties, we choose the appropriate parameters to realize the desired EIT and gradient refractive index, which has applications in focusing and imaging.

DOI
10.1088/0256-307x/32/6/064210

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According to density matrix equations of the interaction between light and matter, the expression for the susceptibility of the Eu 3+ :Y 2 SiO 5 crystal is obtained. When the control field is a Gaussian beam, we investigate and analyze the influence of probe detuning, the Rabi frequency of the control field and the laser line width on the transverse optical properties. We also analyze the influence of the dope-ion concentration on electromagnetically induced transparency (EIT). The analysis result indicates that the transmission is not a monotonic function of the dope-ion concentration. Based on the influences of various parameters on the transverse optical properties, we choose the appropriate parameters to realize the desired EIT and gradient refractive index, which has applications in focusing and imaging.
Using the density matrix theory of interaction between light and matter, and relevant parameters of the relaxation rates for a six-level model, we have shown theoretically the possibility of realizing Electromagnetically Induced Transparency (EIT) and Slow Light effects in Pr(+3 ion) doped YSO crystal. In addition, we have presented a simplified method to analyse EIT effect in such a six level atomic system. Finally, we have demonstrated results of numerical calculation and have compared them with experimental measurements reported recently.
We study the lensing effect experienced by a weak probe field under conditions of electromagnetically induced transparency (EIT) involving a Rydberg state. A Gaussian coupling beam tightly focused on a laser-cooled atomic cloud produces an inhomogeneity in the coupling Rabi frequency along the transverse direction and makes the EIT area acting like a gradient-index medium. We image the probe beam at the position where it exits the atomic cloud and observe that a red-detuned probe light is strongly focused with a greatly enhanced intensity whereas a blue-detuned one is defocused with a reduced intensity. Our experimental results agree very well with the numerical solutions of Maxwell-Bloch equations.
By approximating the index distribution of a medium with electromagnetically induced transparency (EIT) as a gradient index (GRIN), propagation laws in the medium with EIT can be obtained. Transmission properties in an optical system with an EIT medium are analyzed. The results show that, unlike the case in the ordinary GRIN medium, the refractive index of EIT medium has the better controllability. Consequently, discussions are focused on how to conveniently manipulate the focal shift of the input in the EIT by means of controlling the index of the medium. Additionally, the speckle radius on the location of the actual focus can be diminished by adjusting some parameters in the EIT medium.
对三能级电磁感应透明原子系统的密度矩阵方程进行解算，获得该系统九个密度矩阵元的色散行为,同时研究探针光与控制光所对应的原子气体介电系数的色散曲线和一般相干操控特性。本文将控制光与探针光同等看待，即不同于以往着重于探针光特性、将控制光仅当作调控电磁感应透明介质光学特性的外部条件看待、从而没有研究控制光本身如何受探针光的影响。本文研究探针光与控制光之间的彼此影响(即彼此受对方操控的行为)。电磁感应透明介质内由光来控制光的量子相干行为可以作为新型光子学器件设计的基本原理。 The equation of motion of the density matrix of a three-level EIT (electromagnetically induced transparency) atomic system is solved and the behavior of dispersion of the nine density matrix elements is presented. The general optical response of the electric permittivity corresponding to both the probe and the control fields is addressed based on the numerical results of the equation of motion of the density matrix. The probe and the control fields are treated in the same way, in which the influence of the probe field on the control field (and vice versa) is considered. The optical be- havior of controlling light with light can be a fundamental mechanism for new photonic and quantum optical device design.
Electromagnetically induced transparency (EIT) is reported in a solid-state material doped with erbium ions. In this paper we introduce the spectroscopic investigations we have conducted in order to identify the adequate $\ensuremath{\Lambda}$-like three-level systems in Er3+:Y2SiO5{\text{Er}}^{3+}:{\text{Y}}_{2}{\text{SiO}}_{5}Er3+:Y2​SiO5​ crystal, relevant for the demonstration of EIT. These results pave the way for nonlinear and quantum optics applications based on EIT at the telecom wavelength around $1.5\text{ }\ensuremath{\mu}\text{m}$.