Initial value problems of cylindrical electromagnetic waves propagation in a nonlinear nondispersive medium

被引：3

作者：

Chen, Si-Yun ^{[1
]}

Li, Tong

Xie, Jun-Bin

Xie, Hui

Zhou, Ping

Tian, Yang-Fan

Xiong, Hao

Si, Liu-Gang

机构：

[1] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China

来源：

PHYSICAL REVIEW E | 2013年 / 88卷 / 03期

基金：

美国国家科学基金会;

关键词：

SCATTERING; RADIATION; SOLITONS;

D O I：

10.1103/PhysRevE.88.035202

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We introduce a simple method to estimate the accuracy of exact solutions under initial value conditions proposed by Petrov and Kudrin [Phys. Rev. Lett. 104, 190404 (2010)]. We demonstrate that even for a sufficiently weak nonlinearity, the initial value condition difference between linear and nonlinear case may be evident. Our result may be used as a criterion of employing the exact solution to deal with initial value problems of cylindrical electromagnetic wave propagation in a nonlinear nondispersive medium.

引用

页数：4

共 21 条

[1] Nonparaxial vortex vector solitons in a nonlinear cubic medium
Aleshkevich, V. A.
Zhukarev, A. S.
Uvarov, N. G.
[J]. PHYSICS OF WAVE PHENOMENA, 2011, 19 (04) : 239 - 243
[2] Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings
Bomzon, Z
Biener, G
Kleiner, V
Hasman, E
[J]. OPTICS LETTERS, 2002, 27 (05) : 285 - 287
[3] Azimuthally polarized spatial dark solitons: Exact solutions of Maxwell's equations in a Kerr medium
Ciattoni, A
Crosignani, B
Di Porto, P
Yariv, A
[J]. PHYSICAL REVIEW LETTERS, 2005, 94 (07)
[4] AN EXACT SOLUTION FOR SCATTERING OF ELECTROMAGNETIC WAVES FROM CONDUCTORS OF ARBITRARY SHAPE .I. CASE OF CYLINDRICAL SYMMETRY
ERMA, VA
[J]. PHYSICAL REVIEW, 1968, 173 (05): : 1243 - +
[5] Electromagnetic Scattering by a Metallic Cylinder Buried in a Lossy Medium With the Cylindrical-Wave Approach
Frezza, Fabrizio
Pajewski, Lara
Ponti, Cristina
Schettini, Giuseppe
Tedeschi, Nicola
[J]. IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2013, 10 (01) : 179 - 183
[6] Vortex solitons with inhomogeneous polarization in nonlocal self-focusing nonlinear media
Ge, Lijuan
Wang, Qi
Shen, Ming
Shi, Jielong
Kong, Qian
[J]. OPTIK, 2011, 122 (09): : 749 - 753
[7] Radiation and scattering from imperfect cylindrical electromagnetic cloaks
Isic, G.
Gajic, R.
Novakovic, B.
Popovic, Z. V.
Hingerl, K.
[J]. OPTICS EXPRESS, 2008, 16 (03) : 1413 - 1422
[8] Directivity of radiation of a dipole source coupled to cylindrical electromagnetic bandgap structures
Jandieri, Vakhtang
Yasumoto, Kiyotoshi
Liu, Yunfei
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2012, 29 (09) : 2622 - 2629
[9] LIGHT-PROPAGATION IN A CYLINDRICAL WAVE-GUIDE WITH A COMPLEX, METALLIC, DIELECTRIC FUNCTION
NOVOTNY, L
HAFNER, C
[J]. PHYSICAL REVIEW E, 1994, 50 (05): : 4094 - 4106
[10] Exact Axisymmetric Solutions of the Maxwell Equations in a Nonlinear Nondispersive Medium
Petrov, E. Yu.
Kudrin, A. V.
[J]. PHYSICAL REVIEW LETTERS, 2010, 104 (19)

← 1 2 3 →