Study on optical amplification characteristics of photonic crystal with defect as gain medium

HE Shi-kun; LIANG Liang; ZHANG Ling; CAO Jian-jian

Volume 36 Issue 3

Mar. 2012

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Study on optical amplification characteristics of photonic crystal with defect as gain medium

1.
Department of Physics, Xi'an University of Archersity & Technology, Xi'an 710055, China

Corresponding author: LIANG Liang, liangll@pub.xaoline.com ;
Received Date: 2011-09-29
Accepted Date: 2011-10-18

Abstract

In order to study the optical characteristics of ternary layer 1-D photonic crystal with defect as gain medium,they were analyzed based on the optical transfer matrix.The thickness of gain defect layer and the optical constant change have little effect on the prohibited-band structure in the infrared region,and that the gain medium layer mainly affects the band-edge amplification effect of the transmission band at central wavelength of 1.8μm.The effect of the thickness of gain medium layer,optical constant change on the amplification effect at infrared transmission band edge(2.1969μm) wavelength was also studied.When the gain medium is 0.0101μm thick,n=5.03+0.124i,the transmission coefficient at the wavelength 2.1869μm is up to 428 optical amplification.In the infrared band,optical amplification changes with the central wavelength,but the central wavelength is always at the edges of the wavelength band where the central wavelength is located.The results provide theoretical guidance for the photonic crystal as a laser gain medium.
- physical optics,
- photonic crystal,
- transfer matrix,
- gain medium,
- defect

References

[1]	JOHN S.Strong localization of photons in certain disordered dielectric super lattices[J].Physical Review Letters,1987,58 (23):2486-2489.
[2]	YABLONOVITCH E.Inhibited spontaneous emission solid-state physics and electronics[J].Physical Review Letters,1987,58(20):2059-2062.
[3]	VOS W L,SPROK R.Strong effects of photonic band structures on the diffraction of colloidal crystals[J].Physical Review,1996,B53(24):16231-16235.
[4]	CHIGRIN D N,LAVRINENKO A V,YAROTSKY D A,et al.Observation of total omnidirectional reflection from a one dimensional dielect ric lattice[J].Applied Physics,1999,A68(1):25-28.
[5]	WU B J,ZHENG H,FANG M Y,et al.Study of two dimensional photonic triangle heterostructure band gap[J]. Laser & Infrared,2006,36(10):974-976(in Chinese).
[6]	MA H M,XU Zh Y,ZHANG R J.Band structure analysis of one-dimensional photonic crystals with continuous index of refraction[J].Acta Optica Sinica,2006,26 (6):914-917 (in Chinese).
[7]	QI J X,WEN Sh Ch.Research of optical properties of one-dimension photonic crystals constructed by positive-negative refractive materials[J].Laser Technology,2006,30(5):504-506(in Chinese).
[8]	JIN Y,HUANG Zh Y,CHEN X F,et al.Study on polarization properties of the photonic crystal defect mode[J].Laser Technology,2007,31 (3):277-280 (in Chinese).
[9]	TANG B Sh,SHEN T G.Study on transmission property of two-dimension doped photonic crystals with triangular lattices[J].Laser Tech nology,2006,30 (5):526-528 (in Chinese).
[10]	YUAN Z H,LU X D,HUANG J.Theoretical study of reflective phase compensator made of photonic crystal[J].Laser Technology,2006,30(5):476-478(in Chinese).
[11]	WANG Y H,TANG L,NI Zh W,et al.The defect mode and bistability in the nonlinear Bragg mierecavity composed of one-dimension photonic crystal[J].Laser Technology,2006,30 (5):462-464 (in Chinese).
[12]	XU G W.OUYANG Zh B.A new double-wavelength photonic crystal resonator[J].Acta Photonica Sinica,2007,36 (3):429-433 (in Chinese).
[13]	LABILLOY D,BENISTY H,WEISBUCH C,et al.Demonstration of cavity mode between two-dimensional photonic-crystalmirrors[J].Electronics Letters,1997,33 (23):1978-1980.
[14]	FAN S,VILLENEUVE P R,JOANNOPOULOS J D.High extraction efficiency of spontaneous emission from slabs of photonic crysta[J].Physical Review Letters,1997,78(17):3294-3297.
[15]	TRULL J,MARTORELL J,VILASECA R.Angular dependence of phase-matched second-harmonic generation in a photonie crystal[J].Journal of the Optical Socicty of America,1998,B15 (10):2581-2585.
[16]	YAMADA S,KOYAMA T,KATAYAMA Y,et al.Observation of light propagation in two dimensional photonic cry stal based bend optical waveguides[J].Journal of Applied Physics,2000,89(2):855-858.
[17]	WANG H,OUYANG Zh B,HAN Y L.Amplification of one-dimensional photonic crystals defect-mode laser[J].Acta Optica Sinica,2006,26 (11):1691-1697 (in Chinese).
[18]	IMADA M,NODA S,CHUTINAN A,et al.Coherent two-dimensional lasing action insurface-emitting laser with triangu-lar-lattice photonic crystal structure[J].Applied Physics Letters,1999,75(3):316-318.
[19]	MEIER M,MEKIS A,DODABALAPUR A,et al.Laser action from two-dimensional distributed feedback in photonic crystals[J].Applied Physics Letters,1999,74(1):7-9.
[20]	NOTOMI M,SUZUKI H,TAMAMURA T.Directional lasing oscillation of two-dimensional organic photonic crystal laserat several photonic bandgap[J].Applied Physics Letters,2001,78 (10):1325-1327.
[21]	WANG H,L I Y O.An eigen matrix method for obtaining the band structure of photonic crystals[J]. Acta Physica Sinica,2001,50(11):2172-2178(in Chinese).
[22]	LI J J,LI Zh Y,ZHANG D Zh.Second harmonic generation in onedimensional nonlinear photonic crystals solved by the transfer matrix method[J].Physical Review,2007,E75(5):056606.
[23]	ARRIAGA J,SALDANA X I.Band structure and reflcctivity of omnidirectional Si based mirrors with a Gaussian profile refractive index[J].Journal of Applicd Physics,2006,100(4):044911.

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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Study on optical amplification characteristics of photonic crystal with defect as gain medium

Corresponding author: LIANG Liang, liangll@pub.xaoline.com;

1. Department of Physics, Xi'an University of Archersity & Technology, Xi'an 710055, China

Received Date: 2011-09-29

Accepted Date: 2011-10-18

Available Online: 2012-05-25

Abstract: In order to study the optical characteristics of ternary layer 1-D photonic crystal with defect as gain medium,they were analyzed based on the optical transfer matrix.The thickness of gain defect layer and the optical constant change have little effect on the prohibited-band structure in the infrared region,and that the gain medium layer mainly affects the band-edge amplification effect of the transmission band at central wavelength of 1.8μm.The effect of the thickness of gain medium layer,optical constant change on the amplification effect at infrared transmission band edge(2.1969μm) wavelength was also studied.When the gain medium is 0.0101μm thick,n=5.03+0.124i,the transmission coefficient at the wavelength 2.1869μm is up to 428 optical amplification.In the infrared band,optical amplification changes with the central wavelength,but the central wavelength is always at the edges of the wavelength band where the central wavelength is located.The results provide theoretical guidance for the photonic crystal as a laser gain medium.

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Reference (23)

[1]	JOHN S.Strong localization of photons in certain disordered dielectric super lattices[J].Physical Review Letters,1987,58 (23):2486-2489.
[2]	YABLONOVITCH E.Inhibited spontaneous emission solid-state physics and electronics[J].Physical Review Letters,1987,58(20):2059-2062.
[3]	VOS W L,SPROK R.Strong effects of photonic band structures on the diffraction of colloidal crystals[J].Physical Review,1996,B53(24):16231-16235.
[4]	CHIGRIN D N,LAVRINENKO A V,YAROTSKY D A,et al.Observation of total omnidirectional reflection from a one dimensional dielect ric lattice[J].Applied Physics,1999,A68(1):25-28.
[5]	WU B J,ZHENG H,FANG M Y,et al.Study of two dimensional photonic triangle heterostructure band gap[J]. Laser & Infrared,2006,36(10):974-976(in Chinese).
[6]	MA H M,XU Zh Y,ZHANG R J.Band structure analysis of one-dimensional photonic crystals with continuous index of refraction[J].Acta Optica Sinica,2006,26 (6):914-917 (in Chinese).
[7]	QI J X,WEN Sh Ch.Research of optical properties of one-dimension photonic crystals constructed by positive-negative refractive materials[J].Laser Technology,2006,30(5):504-506(in Chinese).
[8]	JIN Y,HUANG Zh Y,CHEN X F,et al.Study on polarization properties of the photonic crystal defect mode[J].Laser Technology,2007,31 (3):277-280 (in Chinese).
[9]	TANG B Sh,SHEN T G.Study on transmission property of two-dimension doped photonic crystals with triangular lattices[J].Laser Tech nology,2006,30 (5):526-528 (in Chinese).
[10]	YUAN Z H,LU X D,HUANG J.Theoretical study of reflective phase compensator made of photonic crystal[J].Laser Technology,2006,30(5):476-478(in Chinese).
[11]	WANG Y H,TANG L,NI Zh W,et al.The defect mode and bistability in the nonlinear Bragg mierecavity composed of one-dimension photonic crystal[J].Laser Technology,2006,30 (5):462-464 (in Chinese).
[12]	XU G W.OUYANG Zh B.A new double-wavelength photonic crystal resonator[J].Acta Photonica Sinica,2007,36 (3):429-433 (in Chinese).
[13]	LABILLOY D,BENISTY H,WEISBUCH C,et al.Demonstration of cavity mode between two-dimensional photonic-crystalmirrors[J].Electronics Letters,1997,33 (23):1978-1980.
[14]	FAN S,VILLENEUVE P R,JOANNOPOULOS J D.High extraction efficiency of spontaneous emission from slabs of photonic crysta[J].Physical Review Letters,1997,78(17):3294-3297.
[15]	TRULL J,MARTORELL J,VILASECA R.Angular dependence of phase-matched second-harmonic generation in a photonie crystal[J].Journal of the Optical Socicty of America,1998,B15 (10):2581-2585.
[16]	YAMADA S,KOYAMA T,KATAYAMA Y,et al.Observation of light propagation in two dimensional photonic cry stal based bend optical waveguides[J].Journal of Applied Physics,2000,89(2):855-858.
[17]	WANG H,OUYANG Zh B,HAN Y L.Amplification of one-dimensional photonic crystals defect-mode laser[J].Acta Optica Sinica,2006,26 (11):1691-1697 (in Chinese).
[18]	IMADA M,NODA S,CHUTINAN A,et al.Coherent two-dimensional lasing action insurface-emitting laser with triangu-lar-lattice photonic crystal structure[J].Applied Physics Letters,1999,75(3):316-318.
[19]	MEIER M,MEKIS A,DODABALAPUR A,et al.Laser action from two-dimensional distributed feedback in photonic crystals[J].Applied Physics Letters,1999,74(1):7-9.
[20]	NOTOMI M,SUZUKI H,TAMAMURA T.Directional lasing oscillation of two-dimensional organic photonic crystal laserat several photonic bandgap[J].Applied Physics Letters,2001,78 (10):1325-1327.
[21]	WANG H,L I Y O.An eigen matrix method for obtaining the band structure of photonic crystals[J]. Acta Physica Sinica,2001,50(11):2172-2178(in Chinese).
[22]	LI J J,LI Zh Y,ZHANG D Zh.Second harmonic generation in onedimensional nonlinear photonic crystals solved by the transfer matrix method[J].Physical Review,2007,E75(5):056606.
[23]	ARRIAGA J,SALDANA X I.Band structure and reflcctivity of omnidirectional Si based mirrors with a Gaussian profile refractive index[J].Journal of Applicd Physics,2006,100(4):044911.

Study on optical amplification characteristics of photonic crystal with defect as gain medium

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views