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Scientific Reports

One- and two-dimensional electromagnetically induced gratings in an Er3+ - doped yttrium aluminum garnet crystal

Tao Shui, Ling Li, Xin Wang, Wen‐Xing Yang

Published Mar 4, 2020• 26 citations
Publisher

Abstract

Abstract A coherently prepared Er3+-doped yttrium aluminum garnet (YAG) crystal with a four-level ionic configuration is exploited for realizing one-dimensional (1D) and two-dimensional (2D) electromagnetically induced gratings (EIGs). Owing to the probe gain induced by the incoherent pump, the diffraction efficiency of the crystal grating, especially the first-order diffraction, can be significantly improved via increasing the incoherent pumping rate or decreasing the probe detuning. The enhancement of the grating diffraction efficiency originates from the interference between the gain and phase gratings. It is also demonstrated that the diffraction of the crystal grating can be dynamically controlled via tuning the intensity and detuning of the standing-wave driving field or the concentration of Er3+ ion. More importantly, the probe energy of the diffraction side lobes around the central principle maximum is comparable to that of the first-order diffraction field for small driving intensity or large driving detuning. Our scheme may provide a possibility for the active all-optical control of optical switching, routing and storage in fiber communication wavelengths.

DOI
10.1038/s41598-020-60809-6

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Control of an electromagnetically induced grating by Er 3+ ion concentration in an Er 3+ -doped YAG crystal

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We investigate the effect of doped E r 3 + ion concentration on an electromagnetically induced grating in an E r 3 + -doped yttrium aluminum garnet (YAG) crystal. Due to the change of electric dipole moment and spontaneous emission decay induced by E r 3 + ion concentration, the Fraunhofer diffraction of the solid-state grating is sensitively dependent upon E r 3 + ion concentration. The three-level E r 3 + ion system with a closed loop leads to probe gain appearing in some concentrations of the E r 3 + ion, which significantly improves the first-order diffraction efficiency of the solid-state grating. Furthermore, it is demonstrated that the relative phase, signal detuning, and grating thickness have different effects on the first-order diffraction efficiency of the solid-state grating under different concentrations of the E r 3 + ion. Therefore, our scheme may provide a basis for selecting a suitable concentration to realize high-efficiency optical switching and routing in future integrated systems.

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Controllable Goos–Hänchen shift and optical switching in an Er 3 + -doped yttrium aluminum garnet crystal

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Abstract We propose an efficient scheme to control Goos–Hänchen (GH) shifts of the reflected and transmitted beams in a cavity containing Er 3 + -doped yttrium-aluminum-garnet (YAG) crystal with a four-level Er 3 + ionic system. It is found that both the values and signs of the reflected and transmitted GH shifts can be coherently controlled by tuning the relevant optical parameters, such as the incoherent pumping rate, and the intensity and detuning of the driving field. Furthermore, we propose a scheme for such a configuration of the reflected GH shift as a family of reflection-type optical switchings. It is shown that the average port spacing and reflectivity of the optical switching can reach approximately 1.03 mm and 16.88, respectively, which indicate the high performance of switching function. Our proposal may provide a possibility to implement optically tuned optical switching.

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Incoherent pumping field and Er3+ ion concentration effects on diffraction pattern of transmitted light in Er3+ doped YAG crystal

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The effect of Er[Formula: see text] ion concentration and incoherent pumping field on the Fraunhofer diffraction pattern of the transmitted light beam in Er[Formula: see text]: YAG crystal is discussed. It is shown that under different concentration of Er[Formula: see text] ion in crystal, the energy of the probe light can transfer to the higher orders of the grating. Also, it is shown that the switching from electromagnetically induced grating to electromagnetically induced phase gratin or vice versa can be obtained by different concentration of Er[Formula: see text] ion and incoherent pumping rate in crystal. Moreover, we have found that by replacing the probe light by optical vortex light, the asymmetric diffraction pattern can be obtained by tuning the optical vorticity of optical vortex light. In this case, the asymmetric diffraction pattern can also be controlled at different ion concentration.

Modern Physics Letters B•Jun 22, 2023•1 citation

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In this paper, we investigate the effect of Er[Formula: see text]ion concentration on the transfer of orbital angular momentum (OAM) in an Er[Formula: see text]-doped yttrium aluminum garnet (YAG) crystal with a three-level ladder-type configuration, mediated by the optical nonlinear process of three-wave mixing (TWM). The OAM information from the incident vortex probe field can be transferred to the generated mixing field through the optical nonlinear process. Due to the change of electric dipole moment and spontaneous emission decay induced by Er[Formula: see text]ion concentration, the OAM transfer depends sensitively on the ion concentration. Furthermore, under different Er[Formula: see text] ion concentrations, the intensity and detuning of the control field have different effects on the conversion efficiency of OAM. More importantly, the conversion efficiency of OAM can be significantly enhanced by choosing suitable values of the control intensity and detuning at [Formula: see text] Er[Formula: see text]ion concentration. Finally, we explore the effect of Er[Formula: see text]ion concentration on the spatial distribution of the probe absorption. Moreover, the spatial absorption of the probe field is shown to evolve with propagation distance within the medium. It is obvious that the spatial pattern of the probe absorption can be effectively controlled via adjusting the detuning of the probe field. Therefore, our scheme enables efficient OAM transfer via second-order nonlinear three-wave mixing in an Er[Formula: see text]-doped YAG crystal by selecting suitable Er[Formula: see text] ion concentration, and may find potential applications in nonlinear quantum optics.

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Positive and negative dispersion in an Er^3+-doped yttrium aluminum garnet crystal

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We investigate a four-level system in the Er3+-doped yttrium aluminum garnet crystal that can produce an absorption or gain doublet in the probe absorption spectrum when driven by a coherent field and incoherent pumping. It is found that the transparent linear positive or negative dispersion can occur between the doublet lines. We show that the group index of a probe pulse can be manipulated when we control the incoherent pumping and the coherent field.

Journal of the Optical Society of America B•Jul 1, 2004•8 citations
Abstract A coherently prepared Er3+-doped yttrium aluminum garnet (YAG) crystal with a four-level ionic configuration is exploited for realizing one-dimensional (1D) and two-dimensional (2D) electromagnetically induced gratings (EIGs). Owing to the probe gain induced by the incoherent pump, the diffraction efficiency of the crystal grating, especially the first-order diffraction, can be significantly improved via increasing the incoherent pumping rate or decreasing the probe detuning. The enhancement of the grating diffraction efficiency originates from the interference between the gain and phase gratings. It is also demonstrated that the diffraction of the crystal grating can be dynamically controlled via tuning the intensity and detuning of the standing-wave driving field or the concentration of Er3+ ion. More importantly, the probe energy of the diffraction side lobes around the central principle maximum is comparable to that of the first-order diffraction field for small driving intensity or large driving detuning. Our scheme may provide a possibility for the active all-optical control of optical switching, routing and storage in fiber communication wavelengths.
We investigate the effect of doped E r 3 + ion concentration on an electromagnetically induced grating in an E r 3 + -doped yttrium aluminum garnet (YAG) crystal. Due to the change of electric dipole moment and spontaneous emission decay induced by E r 3 + ion concentration, the Fraunhofer diffraction of the solid-state grating is sensitively dependent upon E r 3 + ion concentration. The three-level E r 3 + ion system with a closed loop leads to probe gain appearing in some concentrations of the E r 3 + ion, which significantly improves the first-order diffraction efficiency of the solid-state grating. Furthermore, it is demonstrated that the relative phase, signal detuning, and grating thickness have different effects on the first-order diffraction efficiency of the solid-state grating under different concentrations of the E r 3 + ion. Therefore, our scheme may provide a basis for selecting a suitable concentration to realize high-efficiency optical switching and routing in future integrated systems.
Abstract We propose an efficient scheme to control Goos–Hänchen (GH) shifts of the reflected and transmitted beams in a cavity containing Er 3 + -doped yttrium-aluminum-garnet (YAG) crystal with a four-level Er 3 + ionic system. It is found that both the values and signs of the reflected and transmitted GH shifts can be coherently controlled by tuning the relevant optical parameters, such as the incoherent pumping rate, and the intensity and detuning of the driving field. Furthermore, we propose a scheme for such a configuration of the reflected GH shift as a family of reflection-type optical switchings. It is shown that the average port spacing and reflectivity of the optical switching can reach approximately 1.03 mm and 16.88, respectively, which indicate the high performance of switching function. Our proposal may provide a possibility to implement optically tuned optical switching.
The effect of Er[Formula: see text] ion concentration and incoherent pumping field on the Fraunhofer diffraction pattern of the transmitted light beam in Er[Formula: see text]: YAG crystal is discussed. It is shown that under different concentration of Er[Formula: see text] ion in crystal, the energy of the probe light can transfer to the higher orders of the grating. Also, it is shown that the switching from electromagnetically induced grating to electromagnetically induced phase gratin or vice versa can be obtained by different concentration of Er[Formula: see text] ion and incoherent pumping rate in crystal. Moreover, we have found that by replacing the probe light by optical vortex light, the asymmetric diffraction pattern can be obtained by tuning the optical vorticity of optical vortex light. In this case, the asymmetric diffraction pattern can also be controlled at different ion concentration.
Abstract We proposed a theoretical scheme for two-dimensional (2D) electromagnetically induced grating (EIG) in a closed-loop four-level atomic system driven by a weak probe field, a traveling-wave control field, two orthogonal standing-wave fields and a microwave field. Due to low amplitude modulation accompanied with large phase modulation, EIG can be obtained and the probe energy can be diffracted into first-order and even high-order directions with high efficiency. The results show that the diffraction pattern and efficiency of the EIG could be adjusted effectively by the probe field detuning, the coherent field intensity, the interaction length. Meanwhile, the quantum interference between the amplitude modulation and phase modulation can be manipulated by the relative phase, which can be used to regulate the diffraction pattern and efficiency of the 2D EIG. Our scheme of 2D EIG may be useful in beam splitting and all-optical switching.
In this paper, we investigate the effect of Er[Formula: see text]ion concentration on the transfer of orbital angular momentum (OAM) in an Er[Formula: see text]-doped yttrium aluminum garnet (YAG) crystal with a three-level ladder-type configuration, mediated by the optical nonlinear process of three-wave mixing (TWM). The OAM information from the incident vortex probe field can be transferred to the generated mixing field through the optical nonlinear process. Due to the change of electric dipole moment and spontaneous emission decay induced by Er[Formula: see text]ion concentration, the OAM transfer depends sensitively on the ion concentration. Furthermore, under different Er[Formula: see text] ion concentrations, the intensity and detuning of the control field have different effects on the conversion efficiency of OAM. More importantly, the conversion efficiency of OAM can be significantly enhanced by choosing suitable values of the control intensity and detuning at [Formula: see text] Er[Formula: see text]ion concentration. Finally, we explore the effect of Er[Formula: see text]ion concentration on the spatial distribution of the probe absorption. Moreover, the spatial absorption of the probe field is shown to evolve with propagation distance within the medium. It is obvious that the spatial pattern of the probe absorption can be effectively controlled via adjusting the detuning of the probe field. Therefore, our scheme enables efficient OAM transfer via second-order nonlinear three-wave mixing in an Er[Formula: see text]-doped YAG crystal by selecting suitable Er[Formula: see text] ion concentration, and may find potential applications in nonlinear quantum optics.