Theory of partially coherent electromagnetic fields in the space-frequency domain

被引:178
作者
Tervo, J
Setälä, T
Friberg, AT
机构
[1] Univ Joensuu, Dept Phys, FI-80101 Joensuu, Finland
[2] Helsinki Univ Technol, Dept Engn Phys & Math, FI-02015 Helsinki, Finland
关键词
D O I
10.1364/JOSAA.21.002205
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We construct the coherent-mode representation for fluctuating, statistically stationary electromagnetic fields. The modes are shown to be spatially fully coherent in the sense of a recently introduced spectral degree of electromagnetic coherence. We also prove that the electric cross-spectral density tenser can be rigorously expressed as a correlation tenser averaged over an appropriate ensemble of strictly monochromatic vectorial wave functions. The formalism is demonstrated for partially polarized, partially coherent Gaussian Schell-model beams, but the theory applies to arbitrary random electromagnetic fields and can find applications in radiation and propagation and in inverse problems. (C) 2004 Optical Society of America.
引用
收藏
页码:2205 / 2215
页数:11
相关论文
共 45 条
[1]   HIGHER-ORDER COHERENCE FUNCTIONS IN THE SPACE-FREQUENCY DOMAIN [J].
AGARWAL, GS ;
WOLF, E .
JOURNAL OF MODERN OPTICS, 1993, 40 (08) :1489-1496
[2]   NEW CLASS OF UNCERTAINTY RELATIONS FOR PARTIALLY COHERENT-LIGHT [J].
BASTIAANS, MJ .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (07) :711-715
[3]   Modal structure analysis for a class of axially symmetric flat-topped laser beams [J].
Borghi, R ;
Santarsiero, M .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1999, 35 (05) :745-750
[4]   FAR-ZONE BEHAVIOR OF ELECTROMAGNETIC-FIELDS GENERATED BY FLUCTUATING CURRENT DISTRIBUTIONS [J].
CARTER, WH ;
WOLF, E .
PHYSICAL REVIEW A, 1987, 36 (03) :1258-1269
[5]   COLLETT-WOLF SOURCES AND MULTIMODE LASERS [J].
GORI, F .
OPTICS COMMUNICATIONS, 1980, 34 (03) :301-305
[6]   Beam coherence-polarization matrix [J].
Gori, F ;
Santarsiero, M ;
Vicalvi, S ;
Borghi, R ;
Guattari, G .
PURE AND APPLIED OPTICS, 1998, 7 (05) :941-951
[7]   MODE PROPAGATION OF THE FIELD GENERATED BY COLLETT-WOLF SCHELL-MODEL SOURCES [J].
GORI, F .
OPTICS COMMUNICATIONS, 1983, 46 (3-4) :149-154
[8]   Coherent-mode decomposition of partially polarized, partially coherent sources [J].
Gori, F ;
Santarsiero, M ;
Simon, R ;
Piquero, G ;
Borghi, R ;
Guattari, G .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2003, 20 (01) :78-84
[9]   Matrix treatment for partially polarized, partially coherent beams [J].
Gori, F .
OPTICS LETTERS, 1998, 23 (04) :241-243
[10]   Application of the coherent-mode representation to a class of inverse source problems [J].
Habashy, T ;
Friberg, AT ;
Wolf, E .
INVERSE PROBLEMS, 1997, 13 (01) :47-61