Design of surface emitting distributed feedback quantum cascade laser with single-lobe far-field pattern and high outcoupling efficiency

doi:10.1088/1674-1056/19/5/054208

Abstract A 7.8-$\mu $m surface emitting second-order distributed feedback quantum cascade laser (DFB QCL) structure with metallized surface grating is studied. The modal property of this structure is described by utilizing coupled-mode theory where the coupling coefficients are derived from exact Floquet--Bloch solutions of infinite periodic structure. Based on this theory, the influence of waveguide structure and grating topography as well as device length on the laser performance is numerically investigated. The optimized surface emitting second-order DFB QCL structure design exhibits a high surface outcoupling efficiency of 22% and a low threshold gain of 10 cm$^{ - 1}$. Using a $\pi $ phase-shift in the centre of the grating, a high-quality single-lobe far-field radiation pattern is obtained.

Keywords: quantum cascade laser Floquet--Bloch expansion distributed feedback lasers surface emission

Received: 09 October 2009
Revised: 21 October 2009
Accepted manuscript online:

PACS:	42.55.Px	(Semiconductor lasers; laser diodes)
	42.60.Lh	(Efficiency, stability, gain, and other operational parameters)
	42.60.Jf	(Beam characteristics: profile, intensity, and power; spatial pattern formation)

Fund: Project supported by the National Science Fund for Distinguished Young Scholars of China (Grant No.~60525406), the National Natural Science Foundation of China (Grant Nos.~60736031, 60806018, and 60906026), the National Basic Research Program of China (Grant No.~2006CB604903), and the National High Technology Research and Development Program of China (Grant Nos.~2007AA03Z446 and 2009AA03Z403).

Cite this article:

Guo Wan-Hong(郭万红), Liu Jun-Qi(刘俊岐), Lu Quan-Yong(陆全勇), Zhang Wei(张伟), Li Lu(李路), Wang Li-Jun(王利军), Liu Feng-Qi(刘峰奇), and Wang Zhan-Guo(王占国) Design of surface emitting distributed feedback quantum cascade laser with single-lobe far-field pattern and high outcoupling efficiency 2010 Chin. Phys. B 19 054208

[1]	Faist J, Capasso F, Sivco D L, Sirtori C, Hutchinson A L and Cho A Y 1994 Science 264 553
[2]	Xu G E and Li A Z 2007 Acta Phys. Sin. 56 500 (in Chinese)
[3]	Kosterev A A and Tittel F K 2002 IEEE J. Quantum Electron. 38 582
[4]	Li H Q, Zhang J, Cui D F, Xu Z Y, Ning Y Q, Yan C L, Qin L, Liu Y, Wang L J and Cao J L 2004 Acta Phys. Sin. 53 2986 (in Chinese)
[5]	Hao Y Q, Zhong J C, Ma J L, Zhang Y M and Wang L J 2006 Chin. Phys. 15 1806
[6]	Guan B L, Guo X, Yang H, Liang T, Gu X L, Guo J, Deng J, Gao G and Shen G D 2007 Acta Phys. Sin. 56 4585 (in Chinese)
[7]	Song G F, Zhang Y, Guo B S and Wang W M 2009 Acta Phys. Sin. 58 7278 (in Chinese)
[8]	Hofstetter D, Faist J, Beck M and Oesterle U 1999 Appl. Phys. Lett. 75 3769
[9]	Schrenk W, Finger N, Gianordoli S, Hvozdara L, Strasser G and Gornik E 2000 Appl. Phys. Lett. 77 2086
[10]	Pflugl C, Austerer M, Schrenk W, Golka S, Strasser G, Green R P, Wilson L R, Cockburn J W, Krysa A B and Roberts J S 2005 Appl. Phys. Lett. 86 211102
[11]	Schartner S, Austerer M, Schrenk W, Andrews A M, Klang P and Strasser G 2008 Opt. Express 16 11920
[12]	Colombelli R, Srinivasan K, Troccoli M, Painter O, Gmachl C F, Tennant D M, Sergent A M, Sivco D L, Cho A Y and Capasso F 2003 Science 302 1374
[13]	Li L 1996 J. Opt. Soc. Amer. A 13 1870
[14]	Finger N, Schrenk W and Gornik E 2000 IEEE J. Quantum Electron. 36 780
[15]	Finger N and Gornik E 1999 IEEE J. Quantum Electron. 35 832
[16]	Streifer W, Burnham R D and Scifres D R 1976 IEEE J. Quantum Electron. QE-12 737
[17]	Noll R J and Macomber S H 1990 IEEE J. Quantum Electron. 26 456
[18]	Darvish S R, Zhang W, Evans A, Yu J S, Slivken S and Razeghi M 2006 Appl. Phys. Lett. 89 251119
[19]	Wittmann A, Giovannini M, Faist J, Hvozdara L, Blaser S, Hofstetter D and Gini E 2006 Appl. Phys. Lett. 89 141116
[20]	Scarpa G, Ulbrich N, Bohm G, Abstreiter G and Amann M C 2003 IEE Proc. -Optoelecton. 150 284
[21]	Datta S, Shen S, Roenker K P, Cahay M M and Stanchina W E 1998 IEEE Trans. Electron Devices 45 1634
[22]	Shokhovets S, Ambacher O and Gobsch G 2007 Phys. Rev. B 76 125203
[23]	Levinshtein M, Rumyantsev S and Shur M 1996 Handbook Series on Semiconductor Parameters (Vol.~1) (Singapore: World Scientific) p169
[24]	Bahriz M, Moreau V, Palomo J, Colombelli R, Austin D A, Cockburn J W, Wilson L R, Krysa A B and Roberts J S 2006 Appl. Phys. Lett. 88 181103
[25]	Agrawal G P and Dutta N K 1986 Long-wavelength Semiconductor Lasers (New York: van Nostrand) p61
[26]	Li S, Witjaksono G, Macomber S and Botez D 2003 IEEE J. Sel. Top. Quantum Electron. 9 1153
[27]	Schubert M and Rana F 2006 IEEE J. Quantum Electron. 42 257

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Design of surface emitting distributed feedback quantum cascade laser with single-lobe far-field pattern and high outcoupling efficiency

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