Characterization of higher-order Mathieu X-waves in the optical domain

被引：0
|
作者：
Davila, Josue [1 ]
Gutierrez-Vega, Julio C. [1 ]
机构：
[1] Tecnol Monterrey, Photon & Math Opt Grp, Monterrey, Mexico
来源：
LASER BEAM SHAPING VIII | 2007年 / 6663卷
关键词：
X-waves; optical pulses; nondiffracting beams; Mathieu beams;
D O I：
10.1117/12.734141
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We study the propagation properties of X-shaped localized higher-order Mathieu pulses. Several spectral functions in the optical domain are proposed and discussed using physical examples. We derive the relevant expressions using a formalism based on the angular spectrum of plane waves.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Optical solitary waves for the generalized higher-order nonlinear Schrodinger equation with variable coefficients
    Dai, Chao-Qing
    Zhou, Guo-Quan
    Zhang, Jie-Fang
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 21 (17): : 2951 - 2964
  • [32] Propagation of chirped periodic and localized waves with higher-order effects through optical fibers
    Daoui, Abdel Kader
    Messouber, Abdelouahab
    Triki, Houria
    Zhou, Qin
    Biswas, Anjan
    Liu, Wenjun
    Alzahrani, Abdullah K.
    Belic, Milivoj R.
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 146
  • [33] Generation of higher-order rogue waves from multibreathers by double degeneracy in an optical fiber
    Wang, Lihong
    He, Jingsong
    Xu, Hui
    Wang, Ji
    Porsezian, Kuppuswamy
    [J]. PHYSICAL REVIEW E, 2017, 95 (04)
  • [34] Multi-rogue waves for a higher-order nonlinear Schrodinger equation in optical fibers
    Yu, Fajun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 : 176 - 184
  • [35] Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves
    Chabchoub, A.
    Hoffmann, N.
    Onorato, M.
    Akhmediev, N.
    [J]. PHYSICAL REVIEW X, 2012, 2 (01):
  • [36] NONLINEAR ELECTROSTATIC DRIFT WAVES - HIGHER-ORDER STRUCTURES
    SHIVAMOGGI, BK
    [J]. PHYSICS LETTERS A, 1990, 144 (03) : 169 - 171
  • [37] Vortex streets in a cavity with higher-order standing waves
    Malos, JT
    Dykstra, R
    Vaupel, M
    Weiss, CO
    [J]. OPTICS LETTERS, 1997, 22 (14) : 1056 - 1058
  • [38] Higher-order resonant instabilities of internal gravity waves
    Sonmor, LJ
    Klaassen, GP
    [J]. JOURNAL OF FLUID MECHANICS, 1996, 324 : 1 - 23
  • [39] Evolution of higher-order gray Hirota solitary waves
    Hoseini, S. M.
    Marchant, T. R.
    [J]. STUDIES IN APPLIED MATHEMATICS, 2008, 121 (02) : 117 - 139
  • [40] Higher-Order Hamiltonian Model for Unidirectional Water Waves
    J. L. Bona
    X. Carvajal
    M. Panthee
    M. Scialom
    [J]. Journal of Nonlinear Science, 2018, 28 : 543 - 577
12345