Characteristics of spectral-hole burning in Tm3+：YAG based on the perturbation theory

doi:10.1088/1674-1056/23/6/060304

Abstract In this paper, the physical mechanism of the interaction between electromagnetic wave and spectral-hole burning crystal material is investigated in detail. In the small signal regime, a perturbation theory model is used to analyze the mechanism of spectral-hole burning. By solving the Liouville equation, three-order perturbation results are obtained. From the theoretic analysis, spectral-hole burning can be interpreted as a photon echo of the zero-order diffraction echo when the first optical pulse and the second optical pulse are overlapped in time. According to the model, the spectral-hole width is dependent on the chirp rate of the reading laser. When the chirp rate is slow with respect to the spectral features of interest, the spectral hole is closely mapped into time domain. For a fast chirp rate, distortions are observed. The results follow Maxwell-Bloch model and they are also in good agreement with the experimental results.

Keywords: perturbation theory spectral-hole burning photon echo

Received: 20 August 2013
Revised: 10 December 2013
Published: 15 June 2014

PACS:	03.50.De	(Classical electromagnetism, Maxwell equations)
	42.62.Fi	(Laser spectroscopy)
	06.30.Ft	(Time and frequency)
	63.20.-e	(Phonons in crystal lattices)

Fund: Project supported by the Special Funds for Scientific and Technological Innovation Projects, Tianjin, China (Grant No. 10FDZDGX00400).

Corresponding Authors: Ma Xiu-Rong
E-mail: maxiurong@gmail.com

Cite this article:

Zhang Shi-Yu, Ma Xiu-Rong, Zhang Shuang-Gen, Chen-Lei, Wang Xia-Yang, Mu Kuan-Lin, Wang Song Characteristics of spectral-hole burning in Tm³⁺：YAG based on the perturbation theory 2014 Chin. Phys. B 23 060304

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