Theory of second harmonic generation in plasma crystals

被引：12

作者：

Avinash, K ^{[1
]}

机构：

[1] Univ Iowa, Dept Phys & Astron, Iowa City, IA 52242 USA

来源：

PHYSICS OF PLASMAS | 2004年 / 11卷 / 05期

关键词：

D O I：

10.1063/1.1690296

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：

Second harmonic generation in plasma crystals is studied. Starting from a linear chain model, a set of coupled nonlinear differential equations for second harmonic generation is derived. It is shown that with some modifications these equations are also applicable to a two-dimensional (2D) lattice. The solutions show that the amplitude of the harmonic attains a maximum away from the excitation region. An efficiency factor, which is the ratio of the energy in the pump wave to the maximum energy in the harmonic is defined and estimated using Lindemann's criterion for melting and phase matching conditions. The efficiency is limited by the damping due to the background gas. Relevance of these results to recent experiments on harmonic generation in 2D plasma crystals is discussed. (C) 2004 American Institute of Physics.

引用

页码：1891 / 1896

页数：6

共 37 条

[1] INTERACTIONS BETWEEN LIGHT WAVES IN A NONLINEAR DIELECTRIC [J].

ARMSTRONG, JA ;

BLOEMBERGEN, N ;

DUCUING, J ;

PERSHAN, PS .

PHYSICAL REVIEW, 1962, 127 (06) :1918-+

[2] Nonlinear compressional waves in a two-dimensional Yukawa lattice [J].

Avinash, K ;

Zhu, P ;

Nosenko, V ;

Goree, J .

PHYSICAL REVIEW E, 2003, 68 (04)

[3] ON A MODIFIED LINDEMANN-LIKE CRITERION FOR 2D MELTING [J].

BEDANOV, VM ;

GADIYAK, GV ;

LOZOVIK, YE .

PHYSICS LETTERS A, 1985, 109 (06) :289-291

[4]

BOYD RW, 1992, NONLINEAR OPTICS, pCH2

[5] DIRECT OBSERVATION OF COULOMB CRYSTALS AND LIQUIDS IN STRONGLY COUPLED RF DUSTY PLASMAS [J].

CHU, JH ;

I, L .

PHYSICAL REVIEW LETTERS, 1994, 72 (25) :4009-4012

[6] OBSERVATION OF COULOMB-CRYSTAL FORMATION FROM CARBON PARTICLES GROWN IN A METHANE PLASMA [J].

HAYASHI, Y ;

TACHIBANA, K .

JAPANESE JOURNAL OF APPLIED PHYSICS PART 2-LETTERS, 1994, 33 (6A) :L804-L806

[7] Determination of the dust screening length by laser-excited lattice waves [J].

Homann, A ;

Melzer, A ;

Peters, S ;

Piel, A .

PHYSICAL REVIEW E, 1997, 56 (06) :7138-7141

[8] Laser-excited dust lattice waves in plasma crystals [J].

Homann, A ;

Melzer, A ;

Peters, S ;

Madani, R ;

Piel, A .

PHYSICS LETTERS A, 1998, 242 (03) :173-180

[9] Measurement of the interaction potential of microspheres in the sheath of a rf discharge [J].

Konopka, U ;

Morfill, GE ;

Ratke, L .

PHYSICAL REVIEW LETTERS, 2000, 84 (05) :891-894

[10]

Landau L. D., 1937, Zh. Eksp. Teor. Fiz., V7, P19

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