Chin. Phys. Lett.  2001, Vol. 18 Issue (11): 1516-1519    DOI:
Original Articles |
Transfer Matrix for Fibonacci Dielectric Superlattice
CAI Xiang-Bao
1Department of Applied Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003 2National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093
Cite this article:   
CAI Xiang-Bao 2001 Chin. Phys. Lett. 18 1516-1519
Download: PDF(366KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The transfer matrices, which transfer the amplitudes of the electric field of second- and third-harmonic waves from one side of the interface to the other, are defined for layers joined coherently, and the total transfer matrices for several sequential interfaces can be simply obtained by multiplication of the matrices. Using transfer matrix method, the interacting processes of second- and third-harmonic waves in a one-dimensional finite Fibonacci dielectric superlattice are investigated. Applying the numerical procedure described in this letter, the dependence of the second- and third-harmonic field on sample thickness is obtained. The numerical results agree with the quasi-phase-matching theory.
Keywords: 77.80.Dj      42.65.Ky      42.70.Mp      42.70.Nq     
Published: 01 November 2001
PACS:  77.80.Dj (Domain structure; hysteresis)  
  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  42.70.Mp (Nonlinear optical crystals)  
  42.70.Nq (Other nonlinear optical materials; photorefractive and semiconductor materials)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2001/V18/I11/01516
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
CAI Xiang-Bao
Related articles from Frontiers Journals
[1] ZHANG Feng-Feng, YANG Feng, ZHANG Shen-Jin, WANG Zhi-Min, XU Feng-Liang, PENG Qin-Jun, ZHANG Jing-Yuan, WANG Xiao-Yang, CHEN Chuang-Tian, XU Zu-Yan. A Polarization-Adjustable Picosecond Deep-Ultraviolet Laser for Spin- and Angle-Resolved Photoemission Spectroscopy[J]. Chin. Phys. Lett., 2012, 29(6): 1516-1519
[2] WANG Li-Rong, WANG Gui-Ling, ZHANG Xin, LIU Li-Juan, WANG Xiao-Yang, ZHU Yong, CHEN Chuang-Tian. Generation of Ultraviolet Radiation at 266 nm with RbBe2BO3F2 Crystal[J]. Chin. Phys. Lett., 2012, 29(6): 1516-1519
[3] CUI Lian, XU Quan, HAN Zhi-You, XU Xu. Size Effects of the Properties in a Ferroelectric Bilayer Film with Surface Transition Layers[J]. Chin. Phys. Lett., 2012, 29(3): 1516-1519
[4] CAO Xiao-Long, WANG Yu-Ye, XU De-Gang, **, ZHONG Kai, LI Jing-Hui, LI Zhong-Yang, ZHU Neng-Nian, YAO Jian-Quan,. THz-Wave Difference Frequency Generation by Phase-Matching in GaAs/AlxGa1−xAs Asymmetric Quantum Well[J]. Chin. Phys. Lett., 2012, 29(1): 1516-1519
[5] LI Xiao**, XIAO Hu, DONG Xiao-Lin, MA Yan-Xing, XU Xiao-Jun** . Coherent Beam Combining of Two Slab Laser Amplifiers and Second-Harmonic Phase Locking Based on a Multi-Dithering Technique[J]. Chin. Phys. Lett., 2011, 28(9): 1516-1519
[6] LI Ping-Xue**<\sup>, , ZHANG Xue-Xia, LIU Zhi, CHI Jun-Jie . Large-Mode-Area Double-Cladding Photonic Crystal Fiber Laser in the Watt Range at 980nm[J]. Chin. Phys. Lett., 2011, 28(8): 1516-1519
[7] LI Zhong-Yu**, XU Song, CHEN Zi-Hui, ZHANG Fu-Shi, KASATANI Kazuo . Third-Order Optical Nonlinearities of Squarylium Dyes with Benzothiazole Donor Groups Measured Using the Picosecond Z-Scan Technique[J]. Chin. Phys. Lett., 2011, 28(8): 1516-1519
[8] LIU Li-Ming, ZENG Hua-Rong**, CAO Zhen-Zhu, LENG Xue, ZHAO Kun-Yu, LI Guo-Rong, YIN Qing-Rui . Piezoresponse Force Microscopy Imaging of Ferroelectric Domains in Bi(Zn1/2Ti1/2)O3−Pb(Mg1/3Nb2/3)O3−PbTiO3 Piezoelectric Ceramics[J]. Chin. Phys. Lett., 2011, 28(8): 1516-1519
[9] RAO Zhi-Ming, WANG Xin-Bing**, LU Yan-Zhao, ZUO Du-Luo, WU Tao . Two Schemes for Generating Efficient Terahertz Waves in Nonlinear Optical Crystals with a Mid-Infrared CO2 Laser[J]. Chin. Phys. Lett., 2011, 28(7): 1516-1519
[10] MA Dong-Li, REN Ming-Liang, LI Zhi-Yuan** . Broadband Response of Second Harmonic Generation in a Two-Dimensional Quasi-Random Quasi-Phase-Matching Structure[J]. Chin. Phys. Lett., 2011, 28(7): 1516-1519
[11] CHEN Min-Chuan, JIANG An-Quan** . Peripheral Ferroelectric Domain Switching and Polarization Fatigue in Nonvolatile Memory Elements of Continuous Pt/SrBi2Ta2O9/Pt Thin-Film Capacitors[J]. Chin. Phys. Lett., 2011, 28(7): 1516-1519
[12] HOU Pei-Pei, ZHI Ya-Nan**, ZHOU Yu, SUN Jian-Feng, LIU Li-Ren . An Optical 2×4 90° Hybrid Based on a Birefringent Crystal for a Coherent Receiver in a Free-Space Optical Communication System[J]. Chin. Phys. Lett., 2011, 28(7): 1516-1519
[13] WEN Jing, JIANG Hong-Bing**, YU Jing, YANG Hong, GONG Qi-Huang** . Broadband Asymmetric Conical Emission via Cascaded Second-Order Nonlinear Polarization during the Propagation of Femtosecond Laser Pulses in a BBO Crystal[J]. Chin. Phys. Lett., 2011, 28(6): 1516-1519
[14] LI De-Hua, **, MA Jian-Jun, ZHOU Wei, LIU Sheng-Gang . Terahertz Waveforms Manipulation by Two Orthogonal-Polarized Femtosecond Pulses[J]. Chin. Phys. Lett., 2011, 28(6): 1516-1519
[15] ZHU Hai-Yong**, ZHANG Ge, DUAN Yan-Min, HUANG Cheng-Hui, WEI Yong . Compact Continuous-Wave Nd:YVO4 Laser with Self-Raman Conversion and Sum Frequency Generation[J]. Chin. Phys. Lett., 2011, 28(5): 1516-1519
Viewed
Full text


Abstract