ROLE OF THE LINEAR LOSSES AND NONLINEAR MAGNETIC SUSCEPTIBILITY IN THE MODULATIONAL INSTABILITY IN NONLINEAR METAMATERIALS

被引：0

作者：

Zhao, Lu ^{[1
]}

Xie, Donglei ^{[2
]}

Wu, Xinghua ^{[3
]}

Dai, Xiaoyu ^{[1
,4
]}

Xiang, Yuanjiang ^{[4
]}

机构：

[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China

[2] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China

[3] Jiujiang Univ, Coll Sci, Dept Phys, Jiujiang 332005, Peoples R China

[4] Hunan Univ, Coll Phys & Microelect Sci, Nano Optoelect Devices Minist Educ, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS | 2013年 / 22卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Modulation instability; metamaterials; nonlinear magnetization; linear loss; NEGATIVE-INDEX; OPTICAL-FIBERS; NORMAL DISPERSION; GENERATION; WAVELENGTH;

D O I：

10.1142/S0218863513500203

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze modulation instability (MI) in lossy metamaterials (MMs) with both nonlinear polarization and nonlinear magnetization. A detailed discussion on the role of the nonlinear electric polarization, nonlinear magnetic susceptibility and linear loss on the MI is presented. It is found that the nonlinear magnetization and linear loss play an important role in determining the MI in nonlinear MMs. Linear stability analysis predicts that MI may occur in the MMs with self-defocusing nonlinearity due to the negative-index of MMs. In particular, the nonlinear magnetic susceptibility changes the generation condition of MI seriously, it can be used to enhance or depress the MI depending on the sign of the nonlinear magnetic susceptibility. Finally, the influence of the loss in MMs on the MI is discussed.

引用

页数：12

共 50 条

[31] STUDY OF QUASIPERIODIC SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION AND THE NONLINEAR MODULATIONAL INSTABILITY
TRACY, ER
CHEN, HH
LEE, YC
[J]. PHYSICAL REVIEW LETTERS, 1984, 53 (03) : 218 - 221
[32] Modulational instability in bulk dispersive quadratically nonlinear media
Musslimani, ZH
Malomed, BA
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1998, 123 (1-4) : 235 - 243
[33] Azimuthal modulational instability of vortices in the nonlinear Schrodinger equation
Caplan, R. M.
Hoq, Q. E.
Carretero-Gonzalez, R.
Kevrekidis, P. G.
[J]. OPTICS COMMUNICATIONS, 2009, 282 (07) : 1399 - 1405
[34] Statistical approach to modulational instability in nonlinear discrete systems
Grecu, D
Visinescu, A
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2005, 144 (01) : 927 - 934
[35] THE MODULATIONAL INSTABILITY OF THE NONLINEAR KLEIN-GORDON EQUATION
PARKES, EJ
[J]. WAVE MOTION, 1991, 13 (03) : 261 - 275
[36] Modulational instability of some nonlinear continuum and discrete systems
Visinescu, A
Grecu, D
[J]. GLOBAL ANALYSIS AND APPLIED MATHEMATICS, 2004, 729 : 389 - 395
[37] Modulational instability in transversely connected nonlinear pendulum pairs
Kuitche, A. Kamdoum
Motcheyo, A. B. Togueu
Kanaa, Thomas
Tchawoua, C.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (02):
[38] MODULATIONAL INSTABILITY IN A DEFOCUSING COUPLED NONLINEAR SCHRODINGER SYSTEM
WRIGHT, OC
[J]. PHYSICA D, 1995, 82 (1-2): : 1 - 10
[39] MODULATIONAL INSTABILITY OF SOME NONLINEAR CONTINUUM AND DISCRETE MODELS
Grecu, D.
Visinescu, Anca
[J]. NONLINEAR WAVES: CLASSICAL AND QUANTUM ASPECTS, 2005, 153 : 151 - 156
[40] MODULATIONAL INSTABILITY OF NONLINEAR SURFACE-WAVES IN MAGNETOHYDRODYNAMICS
SHIVAMOGGI, BK
[J]. ARCHIVES OF MECHANICS, 1986, 38 (03): : 339 - 343

← 1 2 3 4 5 →