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Communications in Theoretical Physics

Spectral Hole Burning via Kerr Nonlinearity*

Anwar Ali Khan, M S Abdul Jabar, M. Jalaluddin, Bakht Amin Bacha, Iftikhar Ahmad

Published Oct 1, 2015• 4 citations
Publisher

Abstract

Abstract Spectral hole burning is investigated in an optical medium in the presence of Doppler broadening and Kerr nonlinearity. The Kerr nonlinearity generates coherent hole burning in the absorption spectrum. The higher order Kerr nonlinearity enhances the typical lamb dip of the hole. Normal dispersion in the hole burning region while Steep anomalous dispersion between the two hole burning regions also enhances with higher order Kerr effect. A large phase shift creates large delay or advancement in the pulse propagation while no distortion is observed in the pulse. These results provide significant steps to improve optical memory, telecom devices, preservation of information and image quality.

DOI
10.1088/0253-6102/64/4/473

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Abstract Spectral hole burning is investigated in an optical medium in the presence of Doppler broadening and Kerr nonlinearity. The Kerr nonlinearity generates coherent hole burning in the absorption spectrum. The higher order Kerr nonlinearity enhances the typical lamb dip of the hole. Normal dispersion in the hole burning region while Steep anomalous dispersion between the two hole burning regions also enhances with higher order Kerr effect. A large phase shift creates large delay or advancement in the pulse propagation while no distortion is observed in the pulse. These results provide significant steps to improve optical memory, telecom devices, preservation of information and image quality.
Abstract We theoretically investigate the spectral hole burning of surface plasmon polaritons (SPPs) at an interface between rubidium ( 87 Rb) atomic medium and silver. A typical Lamb dip can be observed at a certain frequency where the absorption of SPPs is suddenly reduced. By applying Kerr-type nonlinearity to the 87 Rb atomic gas, the slope of dispersion becomes more normal and steeper. Under the effect of Doppler broadening, a group index of at the SPPs hole burning region is obtained and is further enhanced to with the application of Kerr-nonlinearity. Similarly, the propagation length of SPPs is increased at the hole burning region and is further enhanced with Kerr-nonlinearity. Further, we show that this nonlinear effect results in the enhancement of the phase shift from 0.02 to 1.5 radian at the hole burning region. These results may find important applications in nano-photonics, optical tweezers, photovoltaic devices and sensing technology.
We investigate the behavior of light pulse propagation in a 4-level double Lambda atomic system under condition of electromagnetically induced transparency. The Fano type interference effect and spectral hole burning appears in the the dynamics of the absorption-dispersion spectra caused by the joint nonlinear coherence Kerr effect and Doppler broadening. The coherent Kerr effect exhibits an enhancement (reduction) in superluminal (subluminal) in negative (in positive) group index while the Doppler broadening generates multiple hole burning in the Autler-Townes like spectra of this system. The hole burning in addition with coherent Kerr effect on the spectral profile influences the dynamics of subluminal and superluminal of the probe pulse through the medium. The characteristics of superluminality and subluminality modified by considering cold-Kerr-free medium and hot-Kerr-dependent mediums. The light pulse delays and advances in different regions of dispersion medium with the Doppler broadening and coherent Kerr effect. Consequently, the pulse delays by 49μs49μs49μs, while advance by −91μs-91μs−91μs, for a same set of parameters [note: a revised version is under preparation
Spectral holes burning are controlled and modified in a four-level sodium hot atomic medium. Two spectral holes are measured in the absorption spectrum, which are associated with steep normal dispersive regions. The group velocity is slowed down in this normal dispersive region from vacuum speed vg << c. The spectral hole occurs at the phase pc — T/ 2 with equal depths and equal normal dispersion on both sides of the resonance point. The spectral hole occurs at the phase pc < T/ 2 with unequal depths and unequal normal dispersion on both sides of the resonance point. The depth of the spectral hole at the negative detuning is smaller, and the spectral hole at positive detuning is larger when pc < n/ 2, while it shows contrasting behavior at pc > T/ 2. This work shows significant variation in spectral holes with the collective phase of control fields and the corresponding enhanced and degraded steepness of normal dispersion in the regions of spectral holes burning.
Surface plasmon (SP)-induced spectral hole burning (SHB) at the silver-dielectric interface is investigated theoretically. We notice a typical lamb dip at a selective frequency, which abruptly reduces the absorption spectrum of the surface plasmons polaritons (SPP). Introducing the spontaneous generated coherence (SGC) in the atomic medium, the slope of dispersion becomes normal. Additionally, slow SPP propagation is also noticed at the interface. The spectral hole burning dip is enhanced with the SGC effect and can be modified and controlled with the frequency and intensity of the driving fields. The SPP propagation length at the hole-burning region is greatly enhanced under the effect of SGC. A propagation length of the order of 600 µm is achieved for the modes, which is a remarkable result. The enhancement of plasmon hole burning under SGC will find significant applications in sensing technology, optical communication, optical tweezers and nano-photonics.
Abstract We investigate the possibility of creating spectral hole burning in surface plasmon polaritons (SPPs) at the interface of sodium vapor and gold media. The spectral holes are measured at specific parameters, phases and directions of the control fields. The direction and phase of the control field affect the creation of spectral hole burning in SPPs the most. The pulse shape in the spectral burning hole region is uniform and undistorted due to the cancellation of nonlinear Doppler broadening and large group velocity dispersion. The behavior of SPPs pulse in the spectral hole region is that of solitons, which arise due to cancellation of large positive dispersion for phase shift with nonlinear effect.. The results may have potential applications in nano-photonics, plasmonsters, photovoltaic devices, cloaking and sensing technology.