Using theorems of Fourier factorization, a recent paper [J. Opt. Soc. Am. A 13, 1870 (1996)] has shown that the truncated Fourier series of products of discontinuous functions that were used in the differential theory of gratings during the past 30 years are not converging everywhere in TM polarization. They turn out to be converging everywhere only at the limit of infinitely low modulated grat...

Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These (or sequences) appear in weak values quantum mechanics and many fields of science technology such as optics, signal processing antenna theory. In this paper, we introduce a new method to generate superoscillatory allows us construct explicitly very large class functions.

Conventional optical synthesis, the manipulation of phase and amplitude spectral components to produce an pulse in different temporal modes, is revolutionizing ultrafast science metrology. These technologies rely on Fourier transform light fields between time frequency domains one-dimensional space. However, within this treatment it impossible incorporate quantum correlation among photons. Here...

The ongoing merger of the digital and optical components of the modern microscope is creating opportunities for new measurement techniques, along with new challenges for optical modelling. This thesis investigates several such opportunities and challenges which are particularly relevant to biomedical imaging. Fourier optics is used throughout the thesis as the underlying conceptual model, with ...

a mathematical model is presented in the present study to control‎ ‎the light propagation in an inhomogeneous media‎. ‎the method is ‎based on the identification of the optimal materials distribution‎ ‎in the media such that the trajectories of light rays follow the‎ ‎desired path‎. ‎the problem is formulated as a distributed parameter ‎identification problem and it is solved by a numerical met...

Future sub millimeter imagers are being developed with large focal plane arrays (FPAs) of lenses to increase the field view (FoV) and imaging speed. A full-wave electromagnetic analysis such is numerically cumbersome time-consuming. This article presents a spectral technique based on Fourier optics combined geometrical for analyzing, in reception, lens-based FPAs wide FoVs. The provides efficie...

As a generalization of the 2D Fourier transform (2D FT) and 2D fractional Fourier transform, the 2D nonseparable linear canonical transform (2D NsLCT) is useful in optics and signal and image processing. To reduce the digital implementation complexity of the 2D NsLCT, some previous works decomposed the 2D NsLCT into several low-complexity operations, including 2D FT, 2D chirp multiplication (2D...

Fourier transform magnitude is, in many cases, the only measurable data in fields such as optics, x-ray imaging, crystallography and astronomy. Spectral phase information is impractical to obtain in these instances, due to the relatively short wavelength involved. In this paper a new algorithm for image reconstruction from localized spectral magnitude is presented. The algorithm is based on loc...

Observables from nuclear and high-energy experiments can be degraded by detector performance and/or methodology in extracting the observables, such as of final-state characteristics heavy-ion collisions relation to a coarsely estimated reaction-plane direction. We propose use deblurring methods, optics, correct for observable degradation. Our main focus is restoration triple-differential partic...