Fourier opticsA theory of Fresnel diffraction and Fourier optics results is presented, involving merely coordinate transformations of the independent variables of the aperture ambiguity function. As an application, a simple expression for the width of the diffracted beam is derived in terms of certain ...
Ambiguity function in Fourier optics* 来自 ResearchGate 喜欢 0 阅读量: 104 作者: A Papoulis 摘要: If a field g(x,z) satisfies the diffusion equation ∂2g/∂x2 + 2j k(∂g/∂z) = 0, then its ambiguity function χ(x,ν,z)=∫-∞∞g(η+x/2,z)g*(η-x/2,z)e-jνηd...
Fourier transform,the fractional Fourier transform has attracted widespread attention these years.In this paper,in order to estimate parameters of Quadratic frequency modulation signals,we discuss the ambiguity function based on the fractional Fourier transform.Some new basic but important properties of the...
Dowski, in Encyclopedia of Modern Optics, 2005 The Woodward function P. M. Woodward showed that the capability of a radar system to estimate both the range and the velocity of a target can be described by a mathematical function that became known as the Ambiguity Function. The Ambiguity ...
Two-dimensional Wigner distribution (2D WD) and ambiguity function (2D AF) are important tools for time–frequency analysis and signal processing, especially in the analysis of 2D chirp signals. In this paper, based on the classical 2D WD and 2D AF, a new kind of 2D WD and 2D AF associa...
The Fourier picture corresponds to that of a sine function with equally spaced real zeros from a simple empty aperture or top-hat function. Information in the aperture perturbs the zeros, but the highest or asymptotic spatial frequencies are determined primarily by the finite support. Hence, ...
The complementary function offering transparently the off-diagonal elements is captured by a function called the S-function, or the ambiguity. In carrying the maximal information about the quantum coherences it represents the uncertainties or ambiguity of the diagonal information. Mathematically this is ...
Ambiguity function in Fourier optics* 喜欢 0 阅读量: 46 作者: A Papoulis 摘要: If a field g (x ,z) satisfies the diffusion equation ∂2g /∂x2+2j k (∂g /∂z)=0, then its ambiguity function X(x ,v ,z)=∫∞g (η+x/2,z)g * (η-x/2,z)e -jrηdη satisfies ...
Ambiguity function in Fourier optics* If a field g (x ,z) satisfies the diffusion equation ∂2g /∂x2+2j k (∂g /∂z)=0, then its ambiguity function X(x ,v ,z)=∫∞g (η+x/2,z)g * (η-x... A Papoulis - 《Journal of the Optical Society of America》 被引量: ...
The complementary function offering transparently the off-diagonal elements is captured by a function called the S-function, or the ambiguity. In carrying the maximal information about the quantum coherences it represents the uncertainties or ambiguity of the diagonal information. Mathematically this is ...