Relation between Fresnel transform of input light field and the two-parameter Radon transform of Wigner function of the field

• 来源期刊: 中国物理B（英文版）
• 关键词: Fresnel transform two-parameter Radon transform Wigner function
• 年，卷（期）: 2009,（2）
• 页码范围: 611-615
• 页数: 5页
• 语种: 英文

摘要

This paper proves a new theorem on the relationship between optical field Wigner function's two-parameter Radon transform and optical Fresnel transform of the field, I.e., when an input field ψ(x') propagates through an optical [D (-B) (-C) A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C 7.