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Chin. Phys. B, 2014, Vol. 23(6): 060304    DOI: 10.1088/1674-1056/23/6/060304
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Characteristics of spectral-hole burning in Tm3+:YAG based on the perturbation theory

Zhang Shi-Yu (张世宇)a b, Ma Xiu-Rong (马秀荣)a b, Zhang Shuang-Gen (张双根)b, Chen-Lei (陈雷)a b, Wang Xia-Yang (王夏洋)a b, Mu Kuan-Lin (穆宽林)a b, Wang Song (王松)a b
a Engineering Research Center on Communication Devices (Ministry of Education), School of Computer and Communication Engineering, Tianjin University of Technology, Tianjin 300384, China;
b Tianjin Key Laboratory of Film Electronic and Communication Device, School of Electronic Information Engineering, Tianjin University of Technology, Tianjin 300384, China
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      Accepted manuscript online: 
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 (张世宇), Ma Xiu-Rong (马秀荣), Zhang Shuang-Gen (张双根), Chen-Lei (陈雷), Wang Xia-Yang (王夏洋), Mu Kuan-Lin (穆宽林), Wang Song (王松) Characteristics of spectral-hole burning in Tm3+:YAG based on the perturbation theory 2014 Chin. Phys. B 23 060304

[1] Guillaume G, Vincent C, Ivan L, Le Gouët J L and Fabien B 2005 IEEE Photon. Technol. Lett. 17 2385
[2] Colice M, Schlottau F and Wagner K H 2006 Appl. Opt. 45 6393
[3] Chaneliere T, Bonarota M, Damon V, Lauro R, Ruggiero J, Lorgeré I and Le Gouët J L 2010 J. Lumin. 130 1572
[4] Simon C, Afzelius M, Appel J Boyer, de la Giroday A, Dewhurst S J, Gisin N, Hu C Y, Jelezko F, Kroll S, Muller J H, Nunn J, Polzik E, Rarity J, de Riedmatten H, Rosenfeld W, Shields A J, Skold N, Stevenson R M, Thew R, Walmsley I, Weber M, Weinfurter H, Wrachtrup J and Young R J 2010 arXiv: 1003.1107v1 [quant-ph]
[5] Damon V, Crozatie R V, Chanelière T, Le Gouët J L and Lorgeré I 2010 J. Opt. Soc. Am. B 27 524
[6] Christoffer J R, Randy R R, Mingzhen T, Chang T J and Babbitt W R 2007 J. Opt. Soc. Am. B 24 2979
[7] Wang W, Ma X R, Chen L, Zhang S G and Zhao J 2012 Chin. Phys. Lett. 29 100601
[8] Li Y Z, Hemmer P, Kim C H, Zhang H L and Wang L H 2008 Opt. Express 16 14862
[9] Mitsunaga M and Brewer R G 1985 Phys. Rev. A 32 1605
[10] Guillot N, Goldner P, Antic F E and Le Gouët J L 2005 Phys Rev. B 71 174409
[11] Meystre P and Sargent M III 2007 Elements of Quantum Optics, 4th edn. (New York/Berlin/Heidelberg: Springer) p. 118
[12] Allen L and Eberly J H 1987 Optical Resonance and Two-level Atoms (New York, Dover Publications, Inc.)
[13] Chang T J, Tian M Z, Mohan R K, Renner C, Merkel K D and Babbitt W R 2005 Opt. Lett. 30 1129
[14] Chang T J, Mohan R K, Tian M Z, L.Harris T, Babbit W R and Merkel K D 2004 Phys. Rev. A 70 063803
[15] Chen L, Ma X R, Wang W, Zhang S G, Mu K L, Wang X Y and Zhang S Y 2013 Chin. Phys. B 22 064213
[16] Deng H X, Jiang X D, Xiang X, Sun K, Yuan X D, Zheng W G, Gao F and Zu X T 2010 Chin. Phys. B 19 107801
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