REFLECTION AND TRANSMISSION OF CIRCULARLY POLARIZED WAVES IN NON-LINEAR DIELECTRICS

被引:5
作者
CARROLL, MM
机构
[1] Department of Mechanical Engineering, University of California, Berkeley, 94720, CA
来源
APPLIED PHYSICS | 1979年 / 19卷 / 03期
关键词
42.65;
D O I
10.1007/BF00900476
中图分类号
O59 [应用物理学];
学科分类号
摘要
A time-sinusoidal circularly polarized plane standing wave solution is obtained for isotropic lossless dielectric media with arbitrary nonlinearity. The spatial variation of the standing wave depends on the nonlinearity and is found by solving a problem of centralforce motion in which the electric complementary energy density furnishes the potential and the spatial coordinate has the role of time. Two special nonlinear dielectric response laws-cubic and quintic-are treated, and explicit solutions for the spatial variation of the wave amplitude and phase are obtained in terms of elliptic functions and elliptic integrals, respectively. The standing-wave solution is applied to give steady state solutions of two reflection/transmission problems (a) reflection from, or resonance modes between, ideally conducting planes and (b) reflection and transmission at a plane interface between two nonlinear dielectric media. © 1979 Springer-Verlag.
引用
收藏
页码:321 / 329
页数:9
相关论文
共 15 条
[1]  
Bloembergen N., 1965, NONLINEAR OPTICS
[2]   ON SIMPLE WAVES IN NON-LINEAR DIELECTRIC MEDIA [J].
BROER, LJF ;
SARLUY, PHA .
PHYSICA, 1964, 30 (07) :1421-&
[3]   EXACT SOLUTION OF THE REFLEXION PROBLEM IN NON-LINEAR OPTICS [J].
BROER, LJF .
PHYSICS LETTERS, 1963, 4 (02) :65-65
[4]   PLANE-WAVES OF CONSTANT AMPLITUDE IN NONLINEAR DIELECTRICS [J].
CARROLL, MM .
PHYSICAL REVIEW A, 1972, 6 (05) :1977-&
[5]   PLANE CIRCULAR SHEARING OF INCOMPRESSIBLE FLUIDS AND SOLIDS [J].
CARROLL, MM .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1977, 30 (MAY) :223-234
[6]   ON CIRCULARLY-POLARIZED NONLINEAR ELECTROMAGNETIC WAVES [J].
CARROLL, MM .
QUARTERLY OF APPLIED MATHEMATICS, 1967, 25 (03) :319-&
[7]   PLANE ELASTIC STANDING WAVES OF FINITE-AMPLITUDE [J].
CARROLL, MM .
JOURNAL OF ELASTICITY, 1977, 7 (04) :411-424
[8]   NONLINEAR OPTICAL REFLECTION AND TRANSMISSION IN OVERDENSE PLASMAS [J].
FELBER, FS ;
MARBURGER, JH .
PHYSICAL REVIEW LETTERS, 1976, 36 (20) :1176-1180
[9]  
Gradshteyn L. S., 1965, TABLE INTEGRALS SERI
[10]   PROPAGATION OF ELECTROMAGNETIC-WAVES IN A NONLINEAR DIELECTRIC SLAB [J].
KAZAKIA, JY ;
VENKATARAMAN, R .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1975, 26 (01) :61-76