DIFFRACTION OF LIGHT BY AN OPAQUE SPHERE .1. DESCRIPTION AND PROPERTIES OF THE DIFFRACTION PATTERN

被引:34
作者
SOMMARGREN, GE [1 ]
WEAVER, HJ [1 ]
机构
[1] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,LIVERMORE,CA 94550
来源
APPLIED OPTICS | 1990年 / 29卷 / 31期
关键词
Isomorphic propagation theory; Lommel functions; Spherical diffraction;
D O I
10.1364/AO.29.004646
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper we discuss the diffraction pattern resulting from the propagation of light past an opaque obstacle with a circular cross section. A mathematical description of the diffraction pattern is obtained in the Fresnel region using scalar diffraction theory and is presented in terms of the Lommel functions. This description is shown experimentally to be quite accurate, not only for near axis points within the shadow region but also well past the shadow’s edge into the directly illuminated region. The mathematical description is derived for spherical wave illumination and an isomorphic relation is developed relating it to plane wave illumination. The size of the central bright spot (as well as the subsequent diffraction rings), the axial intensity, and the intensity along the geometric shadow are characterized in terms of point source location and the distance of propagation past the circular obstacle. © 1990 Optical Society of America.
引用
收藏
页码:4646 / 4657
页数:12
相关论文
共 11 条
[1]  
BORN M, 1965, PRINCIPLES OPTICS, pR3
[2]  
BORN M, 1965, PRINCIPLES OPTICS, P438
[3]  
BOUWKAMP CJ, 1941, THESIS GRONINGEN
[4]   DIFFRACTION PATTERNS IN THE SHADOWS OF DISKS AND OBSTACLES [J].
ENGLISH, RE ;
GEORGE, N .
APPLIED OPTICS, 1988, 27 (08) :1581-1587
[5]  
LIPSON SG, 1969, OPTICAL PHYSICS, P4
[6]   AXIAL IRRADIANCE AND OPTIMUM FOCUSING OF LASER-BEAMS [J].
MAHAJAN, VN .
APPLIED OPTICS, 1983, 22 (19) :3042-3053
[8]   CLOSED SOLUTIONS OF RAYLEIGHS DIFFRACTION INTEGRAL FOR AXIAL POINTS [J].
OSTERBERG, H ;
SMITH, LW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1961, 51 (10) :1050-&
[9]  
SPANIER J, 1987, ATLAS FUNCTIONS, P509
[10]  
WATSON GN, 1922, TREATISE THEORY BESS, P540