SEMICONDUCTOR PHYSICS

Influence of incident angle on the defect mode of locally doped photonic crystal

Jin Wang1, Tingdun Wen1, , Liping Xu1 and Zufan Liu2

+ Author Affiliations

 Corresponding author: Wen Tingdun, Email: tdwen@nuc.edu.cn

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Abstract: By means of a transfer matrix method, this paper deduces the transmittance calculation equation of light travelling in locally doped (including one defect layer) mirror heterostructure (ABCCBA)PD(ABCCBA)Q photonic crystals. In the cases of defect layers being either introduced or not introduced, an ORIGIN simulation shows the influence of incident angle change on the number of photon band gap, bandwidth and defect mode numbers. Studies indicate that when such photonic crystals have 8 mirror cycles and the thickness of defect layer D meets nDdD0/2 or nD dD=4λ 0, the photonic crystal defect mode transmission peak changes significantly. Also, with the change of incident angle, the number of defect mode transmission peaks changes. By altering incident angle and defect layer thickness, we can get photon band gaps and defect mode transmission peaks at different frequency domains and different relative angular frequencies. This provides theoretical reference for achieving light wave multi-channel filtering and tunable filtering.

Key words: photonic crystaldefect modeincident anglelocally dopedtransfer matrix method



[1]
Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics.Phys Rev Lett, 1987, 58(20):2059 doi: 10.1103/PhysRevLett.58.2059
[2]
John S. Strong localization of photons in certain disordered physics dielectric superlattices. Phys Rev Lett, 1987, 58(23):2486 doi: 10.1103/PhysRevLett.58.2486
[3]
Tang Bin. Study the couple between waveguide and cavity in two dimensional photonic crystal. Beijing:Beijing Chemical University, 2012
[4]
Yu Hejun, Yu Jinzhong, Chen Shaowu. An all-e-beam lithography process for the patterning of 2D photonic crystal waveguides devices. Journal of Semiconductors, 2006, 27(11):1894 http://www.jos.ac.cn/bdtxbcn/ch/reader/view_abstract.aspx?file_no=06041203&flag=1
[5]
Li Lu, Shao Ye, Liu Junqi, et al. One-dimensional InP-based photonic crystal quantum cascade laser emitting at 5.36μm. Journal of Semiconductors, 2008, 29(7):1278 http://www.jos.ac.cn/bdtxbcn/ch/reader/view_abstract.aspx?file_no=07102303&flag=1
[6]
Li Junhua, Kan Qiang, Wang Chunxia, et al. Design of a photonic crystal micro cavity for biosensing. Journal of Semiconductors, 2011, 32(3):034008 doi: 10.1088/1674-4926/32/3/034008
[7]
Chen Xianfeng, Shen Xiaoming, Jiang Meiping, et al. Studies on the defect mode properties of 1D photonic crystal. Acta Photonica Sinica, 2005, 34(12):1876 http://en.cnki.com.cn/Article_en/CJFDTOTAL-GZXB200512028.htm
[8]
Yang Dong, Wang Xuelei, Qian Xiangzhong. Research on forbidden band gap of one-dimensional photonic crystal changed under different incidence angles. Optoelectron Technol, 2009, 29(1):51 doi: 10.1007/s11082-016-0762-0
[9]
Li Jiao, Wen Tingdun, Xu Liping. Optical characteristics of dual-periodical photonic crystal heterostructures. Chin J Lumin, 2012, 33(3):304 doi: 10.3788/fgxb
[10]
Chen Jing, Tang Jiyu, Han Peide, et al. Optical properties in 1D photonic crystal structure using Si/C60 multilayers. Journal of Semiconductors, 2009, 30(4):043001 doi: 10.1088/1674-4926/30/4/043001
[11]
Xiao Gongli, Yang Hongyan. The effect of array periodicity on the filtering characteristics of metal/dielectric photonic crystals. Journal of Semiconductors, 2011, 32(4):044004 doi: 10.1088/1674-4926/32/4/044004
[12]
Liu Qineng. Resonance theory of the defect mode of 1-D doping photonic crystal. Acta Ph-otonica Sinica, 2012, 41(4):446 doi: 10.3788/gzxb
[13]
Kedia S, Kumar A, Singh R P. Propagation of vortex beams through self-assembled photonic crystal. Journal of Experimental Nanoscience, 2013, 8(3):249 doi: 10.1080/17458080.2011.654277
[14]
Liu Qineng. The absorb of photonic crystal influence to the design of filter of photonic crystal. Laser Journal, 2008, 29(1):19 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1335210
[15]
Ma Xiying. The principle and application of photonic crystals. Beijing:Science Press, 2010:37 https://www.researchgate.net/publication/298501089_Recent_progress_in_the_fabrication_and_application_of_photonic_crystals
[16]
Ji Jiarong. Higher optical tutorial:optical basic electromagnetic theory. Beijing:Science Press, 2007:132 http://www.mitr.p.lodz.pl/evu/lectures/Abramczyk1.pdf
[17]
Xie Weidong. The defect model in photonic crystals. Journal of Guizhou Normal University (Natural Sciences), 2003, 24(1):10
[18]
Zhang Zhengren, Long Zhengwen, Yuan Yuqun. Transmission properties of photonic crystal heterostructure consisting of negative materials. Chinese Journal of Luminescence, 2010, 3(31):445 http://d.wanfangdata.com.cn/Periodical/fgxb201003027
Fig. 1.  Locally doped photonic crystal model diagram (ABCCBA)$^{P}$D(ABCCBA)$^{Q}$.

Fig. 2.  Transmission spectrum of (ABCCBA)$^{P}$(ABCCBA)$^{Q}$ with the changes of the incident angle. (a) $\theta$ $=$ 0, (b) $\theta$ $=$ $\pi$/6, (c) $\theta$ $=$ $\pi$/4, (d) $\theta$ $=$ $\pi$/3.

Fig. 3.  Transmission spectrum of photonic crystals of 8 cycles (ABCCBA)$^{P}$D(ABCCBA)$^{Q}$ and the thickness is $n_{\rm D} d_{\rm D} ={\lambda _0 }/2$ with the changes of the incident angle: (a) $\theta =$ 0, (b) $\theta =\pi$/6, (c) $\theta =\pi$/4, (d) $\theta =\pi$/3.

Fig. 4.  Transmission spectrum of photonic crystals of 8 cycles (ABCCBA)$^{P}$D(ABCCBA)$^{Q}$ and the thickness is $n_{\rm D} d_{\rm D} =4\lambda _0$ with the changes of the incident angle:(a) $\theta =$ 0, (b) $\theta =\pi$/6, (c) $\theta =\pi$/4, (d) $\theta =\pi$/3.

[1]
Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics.Phys Rev Lett, 1987, 58(20):2059 doi: 10.1103/PhysRevLett.58.2059
[2]
John S. Strong localization of photons in certain disordered physics dielectric superlattices. Phys Rev Lett, 1987, 58(23):2486 doi: 10.1103/PhysRevLett.58.2486
[3]
Tang Bin. Study the couple between waveguide and cavity in two dimensional photonic crystal. Beijing:Beijing Chemical University, 2012
[4]
Yu Hejun, Yu Jinzhong, Chen Shaowu. An all-e-beam lithography process for the patterning of 2D photonic crystal waveguides devices. Journal of Semiconductors, 2006, 27(11):1894 http://www.jos.ac.cn/bdtxbcn/ch/reader/view_abstract.aspx?file_no=06041203&flag=1
[5]
Li Lu, Shao Ye, Liu Junqi, et al. One-dimensional InP-based photonic crystal quantum cascade laser emitting at 5.36μm. Journal of Semiconductors, 2008, 29(7):1278 http://www.jos.ac.cn/bdtxbcn/ch/reader/view_abstract.aspx?file_no=07102303&flag=1
[6]
Li Junhua, Kan Qiang, Wang Chunxia, et al. Design of a photonic crystal micro cavity for biosensing. Journal of Semiconductors, 2011, 32(3):034008 doi: 10.1088/1674-4926/32/3/034008
[7]
Chen Xianfeng, Shen Xiaoming, Jiang Meiping, et al. Studies on the defect mode properties of 1D photonic crystal. Acta Photonica Sinica, 2005, 34(12):1876 http://en.cnki.com.cn/Article_en/CJFDTOTAL-GZXB200512028.htm
[8]
Yang Dong, Wang Xuelei, Qian Xiangzhong. Research on forbidden band gap of one-dimensional photonic crystal changed under different incidence angles. Optoelectron Technol, 2009, 29(1):51 doi: 10.1007/s11082-016-0762-0
[9]
Li Jiao, Wen Tingdun, Xu Liping. Optical characteristics of dual-periodical photonic crystal heterostructures. Chin J Lumin, 2012, 33(3):304 doi: 10.3788/fgxb
[10]
Chen Jing, Tang Jiyu, Han Peide, et al. Optical properties in 1D photonic crystal structure using Si/C60 multilayers. Journal of Semiconductors, 2009, 30(4):043001 doi: 10.1088/1674-4926/30/4/043001
[11]
Xiao Gongli, Yang Hongyan. The effect of array periodicity on the filtering characteristics of metal/dielectric photonic crystals. Journal of Semiconductors, 2011, 32(4):044004 doi: 10.1088/1674-4926/32/4/044004
[12]
Liu Qineng. Resonance theory of the defect mode of 1-D doping photonic crystal. Acta Ph-otonica Sinica, 2012, 41(4):446 doi: 10.3788/gzxb
[13]
Kedia S, Kumar A, Singh R P. Propagation of vortex beams through self-assembled photonic crystal. Journal of Experimental Nanoscience, 2013, 8(3):249 doi: 10.1080/17458080.2011.654277
[14]
Liu Qineng. The absorb of photonic crystal influence to the design of filter of photonic crystal. Laser Journal, 2008, 29(1):19 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1335210
[15]
Ma Xiying. The principle and application of photonic crystals. Beijing:Science Press, 2010:37 https://www.researchgate.net/publication/298501089_Recent_progress_in_the_fabrication_and_application_of_photonic_crystals
[16]
Ji Jiarong. Higher optical tutorial:optical basic electromagnetic theory. Beijing:Science Press, 2007:132 http://www.mitr.p.lodz.pl/evu/lectures/Abramczyk1.pdf
[17]
Xie Weidong. The defect model in photonic crystals. Journal of Guizhou Normal University (Natural Sciences), 2003, 24(1):10
[18]
Zhang Zhengren, Long Zhengwen, Yuan Yuqun. Transmission properties of photonic crystal heterostructure consisting of negative materials. Chinese Journal of Luminescence, 2010, 3(31):445 http://d.wanfangdata.com.cn/Periodical/fgxb201003027
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    Received: 03 April 2013 Revised: 04 June 2013 Online: Published: 01 November 2013

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      Jin Wang, Tingdun Wen, Liping Xu, Zufan Liu. Influence of incident angle on the defect mode of locally doped photonic crystal[J]. Journal of Semiconductors, 2013, 34(11): 112003. doi: 10.1088/1674-4926/34/11/112003 J Wang, T D Wen, L P Xu, Z F Liu. Influence of incident angle on the defect mode of locally doped photonic crystal[J]. J. Semicond., 2013, 34(11): 112003. doi: 10.1088/1674-4926/34/11/112003.Export: BibTex EndNote
      Citation:
      Jin Wang, Tingdun Wen, Liping Xu, Zufan Liu. Influence of incident angle on the defect mode of locally doped photonic crystal[J]. Journal of Semiconductors, 2013, 34(11): 112003. doi: 10.1088/1674-4926/34/11/112003

      J Wang, T D Wen, L P Xu, Z F Liu. Influence of incident angle on the defect mode of locally doped photonic crystal[J]. J. Semicond., 2013, 34(11): 112003. doi: 10.1088/1674-4926/34/11/112003.
      Export: BibTex EndNote

      Influence of incident angle on the defect mode of locally doped photonic crystal

      doi: 10.1088/1674-4926/34/11/112003
      Funds:

      Project supported by the National Natural Science Foundation of China (Nos. 60776062, 50730009)

      the National Natural Science Foundation of China 50730009

      the National Natural Science Foundation of China 60776062

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      • Corresponding author: Wen Tingdun, Email: tdwen@nuc.edu.cn
      • Received Date: 2013-04-03
      • Revised Date: 2013-06-04
      • Published Date: 2013-11-01

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