Simulating resonance-mediated two-photon absorption enhancement in rare-earth ions by a rectangle phase modulation

doi:10.1088/1674-1056/27/1/013202

Abstract Improving the up-conversion luminescence efficiency of rare-earth ions via the multi-photon absorption process is crucial in several related application areas. In this work, we theoretically propose a feasible scheme to enhance the resonance-mediated two-photon absorption in Er³⁺ ions by shaping the femtosecond laser field with a rectangle phase modulation. Our theoretical results show that the resonance-mediated two-photon absorption can be decomposed into the on-resonant and near-resonant parts, and the on-resonant part mainly comes from the contribution of laser central frequency components, while the near-resonant part mainly results from the excitation of low and high laser frequency components. So, the rectangle phase modulation can induce a constructive interference between the two parts by properly designing the modulation depth and width, and finally realizes the resonance-mediated two-photon absorption enhancement. Moreover, our results also show that the enhancement efficiency of resonance-mediated two-photon absorption depends on the laser pulse width (or laser spectral bandwidth), final state transition frequency, and intermediate and final state absorption bandwidths. The enhancement efficiency modulation can be attributed to the relative weight manipulation of on-resonant and near-resonant two-photon absorption in the whole excitation process. This study presents a clear physical insight for the quantum control of resonance-mediated two-photon absorption in the rare-earth ions, and there will be an important significance for improving the up-conversion luminescence efficiency of rare-earth ions.

Keywords: coherent quantum control femtosecond pulse shaping two-photon absorption rare-earth ions

Received: 30 September 2017
Revised: 13 October 2017
Accepted manuscript online:

PACS:	32.80.Qk	(Coherent control of atomic interactions with photons)
	32.80.Wr	(Other multiphoton processes)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11474096), the Science and Technology Commission of Shanghai Municipality, China (Grant Nos. 14JC1401500, 17ZR146900, and 16520721200), and the Higher Education Key Program of He'nan Province of China (Grant No. 17A140025).

Corresponding Authors: Wen-Jing Cheng, Shi-An Zhang
E-mail: 0110wenjing@163.com;sazhang@phy.ecnu.edu.cn

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Da-Long Qi(齐大龙), Ye Zheng(郑烨), Wen-Jing Cheng(程文静), Yun-Hua Yao(姚云华), Lian-Zhong Deng(邓联忠), Dong-Hai Feng(冯东海), Tian-Qing Jia(贾天卿), Zhen-Rong Sun(孙真荣), Shi-An Zhang(张诗按) Simulating resonance-mediated two-photon absorption enhancement in rare-earth ions by a rectangle phase modulation 2018 Chin. Phys. B 27 013202

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Simulating resonance-mediated two-photon absorption enhancement in rare-earth ions by a rectangle phase modulation

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