Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Wigner Distribution Moments Measured as Intensity Moments in Separable First-Order Optical Systems | EURASIP Journal on Applied Signal Processing 2005 10 1535-1540 2005 M. J. Bastiaans and T. Alieva Wigner Distribution Moments Measured as Intensity Moments in Separable First-Order Optical Systems Martin J. Bastiaans Faculteit Elektrotechniek Technische Universiteit Eindhoven Postbus 513 5600 MB Eindhoven The Netherlands Email Tatiana Alieva Facultad de Ciencias Fisicas Universidad Complutense de Madrid Ciudad Universitaria s n Madrid 28040 Spain Email talieva@ Received 31 March 2004 Revised 19 August 2004 It is shown how all global Wigner distribution moments of arbitrary order can be measured as intensity moments in the output plane of an appropriate number of separable first-order optical systems generally anamorphic ones . The minimum number of such systems that are needed for the determination of these moments is derived. Keywords and phrases Wigner distribution moments beam characterization first-order optical systems. 1. INTRODUCTION After the introduction of the Wigner distribution WD 1 for the description of coherent and partially coherent optical fields 2 it became an important tool for optical sig-nal image analysis and beam characterization 3 4 5 . The WD completely describes the complex amplitude of a coherent optical field up to a constant phase factor or the mutual coherence function of a partially coherent field. As the WD of a two-dimensional optical field is a function of four variables it is difficult to analyze. Therefore the optical field is often represented not by the WD itself but by its global moments. Beam characterization based on the second-order moments of the WD thus became the basis of an International Organization for Standardization standard 6 . Some of the WD moments can directly be determined from measurements of the intensity distributions in the image plane or the Fourier plane but most of the moments cannot be determined in such an easy way. In order to calculate such moments additional .
