BESSEL-GAUSS PULSES

被引:69
作者
OVERFELT, PL
机构
[1] Physics Division, Research Department, Naval Weapons Center, China Lake
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 06期
关键词
D O I
10.1103/PhysRevA.44.3941
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A family of exact pulse solutions of the homogenous free-space scalar wave equation is obtained. These solutions describe moving modified Bessel-Gauss pulses. They include the fundamental Gaussian pulse and the Bessel beam solutions as special cases. The zeroth-order Bessel-Gauss pulse is shown to be more highly localized than the fundamental Gaussian solution because of its extra spectral degree of freedom. A superposition of Bessel-Gauss pulses is used to create a splash pulse that is more localized than the Ziolkowski splash pulse.
引用
收藏
页码:3941 / 3947
页数:7
相关论文
共 12 条
[1]  
ABRAMOWITZ M, 1964, NBS APPLIED MATH SER, V55
[2]   PACKETLIKE SOLUTIONS OF THE HOMOGENEOUS-WAVE EQUATION [J].
BELANGER, PA .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (07) :723-724
[3]   A BIDIRECTIONAL TRAVELING PLANE-WAVE REPRESENTATION OF EXACT-SOLUTIONS OF THE SCALAR WAVE-EQUATION [J].
BESIERIS, IM ;
SHAARAWI, AM ;
ZIOLKOWSKI, RW .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (06) :1254-1269
[4]   FOCUS WAVES MODES IN HOMOGENEOUS MAXWELL EQUATIONS - TRANSVERSE ELECTRIC MODE [J].
BRITTINGHAM, JN .
JOURNAL OF APPLIED PHYSICS, 1983, 54 (03) :1179-1189
[5]   DIFFRACTION-FREE BEAMS [J].
DURNIN, J ;
MICELI, JJ ;
EBERLY, JH .
PHYSICAL REVIEW LETTERS, 1987, 58 (15) :1499-1501
[6]   EXACT-SOLUTIONS FOR NONDIFFRACTING BEAMS .1. THE SCALAR THEORY [J].
DURNIN, J .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1987, 4 (04) :651-654
[7]   BESSEL-GAUSS BEAMS [J].
GORI, F ;
GUATTARI, G ;
PADOVANI, C .
OPTICS COMMUNICATIONS, 1987, 64 (06) :491-495
[8]  
GRADSHTEYN IS, 1976, TABLES INTEGRALS SER
[9]   SOME EXOTIC SOLUTIONS OF THE WAVE-EQUATION IN UNBOUNDED ISOTROPIC MEDIA [J].
HILLION, P .
WAVE MOTION, 1988, 10 (02) :143-147
[10]   A GENERAL FORMULATION OF FOCUS WAVE MODES [J].
SEZGINER, A .
JOURNAL OF APPLIED PHYSICS, 1985, 57 (03) :678-683