Existence of Localized Modes in a Purely Anharmonic Chain
-
Abstract
For a monatomic one-dimensional chain of particles interacting via a nearest-neighbor purely anharmonic potential of any even order (such a chain is called purely anharmonic chain), it is proved that there really exist exact localized modes.
-
References
-
Related Articles
[1] MA Dong-Li, REN Ming-Liang, DOU Jun-Hong, LI Zhi-Yuan. Giant Enhancement of Second Harmonic Generation at Photonic Band Gap Edges [J]. Chin. Phys. Lett., 2010, 27(11): 114209. doi: 10.1088/0256-307X/27/11/114209 [2] LIU Yan-Ping, YAN Zhi-Jun, LI Zhi-Gang, LI Qin-Tao, WANG Yin-Yue. Photonic Band Gap Properties of Three-Dimensional SiO2 Photonic Crystals [J]. Chin. Phys. Lett., 2010, 27(7): 074205. doi: 10.1088/0256-307X/27/7/074205 [3] LIU Ye, ZHENG Zhong-Yu, QIN Fei, ZHOU Fei, ZHOU Chang-Zhu, ZHANG Dao-Zhong, MENG Qing-Bo, LI Zhi-Yuan. Synthesis and Band Gap Control in Three-Dimensional Polystyrene Opal Photonic Crystals [J]. Chin. Phys. Lett., 2008, 25(11): 4019-4022. [4] GENG You-Fu, TAN Xiao-Ling, ZHONG Kai, WANG Peng, YAO Jian-Quan. Low Loss Plastic Terahertz Photonic Band-Gap Fibres [J]. Chin. Phys. Lett., 2008, 25(11): 3961-3963. [5] ZHANG Yan, SHI Jun-Jie. Enlargement of Photonic Band Gaps and Physical Picture of Photonic Band Structures [J]. Chin. Phys. Lett., 2006, 23(3): 639-642. [6] CAI Xiang-Hua, ZHENG Wan-Hua, MA Xiao-Tao, REN Gang, XIA Jian-Bai. Two-Dimensional Photonic Band-Gap Defect Modes with Deformed Lattice [J]. Chin. Phys. Lett., 2005, 22(9): 2290-2293. [7] FENG Zhi-Fang, FENG Shuai, REN Kun, LI Zhi-Yuan, CHENG Bing-Ying, ZHANG Dao-Zhong. Complete Band-Gap in Two-Dimensional Quasiperiod Photonic Crystals with Hollow Cylinders [J]. Chin. Phys. Lett., 2005, 22(8): 1941-1943. [8] WANG Yi-Quan, FENG Zhi-Fang, HU Xiao-Yong, CHENG Bing-Ying, ZHANG Dao-Zhong. Band Gaps of an Amorphous Photonic Materials [J]. Chin. Phys. Lett., 2004, 21(2): 324-325. [9] LI Liang, XIE Yi-Cheng, WANG Yi-Quan, HU Xiao-Yong, FENG Zhi-Fang, CHENG Bing-Ying. Absolute Gap of Two-Dimensional Fractal Photonic Structure [J]. Chin. Phys. Lett., 2003, 20(10): 1767-1769. [10] LIU Zheng, XU Jian-Jun, LIN Zhi-Fang. Photonic Band Gaps in Two-Dimensional Crystals with Fractal Structure [J]. Chin. Phys. Lett., 2003, 20(4): 516-518.