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Fast numerical calculation of Fresnel patterns in convergent systems

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TLDR
It is shown that interference between convergent phase factor and the kernel of the different numerical Fresnel transformation may impose serious restrictions on the range of distances, where diffraction patterns can be accurately calculated.
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This article is published in Optics Communications.The article was published on 2003-11-15. It has received 85 citations till now. The article focuses on the topics: Fresnel diffraction & Fractional Fourier transform.

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Citations
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Principles and techniques of digital holographic microscopy

TL;DR: Digital holography is an emerging field of new paradigm in general imaging applications as discussed by the authors, and a review of a subset of the research and development activities in digital holographic microscopy techniques and applications is presented.
Journal ArticleDOI

Fast numerical algorithm for the linear canonical transform.

TL;DR: The Fast Linear Canonical Transform (FLCT) as mentioned in this paper is derived from the linear canonical transform (LCT) and can be used for FFT, FRT, and FST calculations.
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Position multiplexing for multiple-image encryption

TL;DR: This work first describes the basic principle of multiple-image encryption by use of position multiplexing, and then numerically analyse the factors that affect the minimum position separation and the multiplexed capacity.
Journal ArticleDOI

Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms

TL;DR: In this article, it is shown how the space-bandwidth product (SBP) of a signal, as indicated by the location of the signal energy in the Wigner distribution function, can be tracked through any quadratic phase optical system whose operation is described by the linear canonical transform.
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Resolution limits in practical digital holographic systems

TL;DR: A series of experimental results are presented to confirm the validity of the theoretical model, demonstrating recovery of super- Nyquist frequencies for the first time and how the model can be used to optimize CCD design for lensless DH capture.
References
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Journal ArticleDOI

Introduction to Fourier Optics

Joseph W. Goodman, +1 more
- 01 Apr 1969 - 
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book

Introduction to Fourier optics

TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Journal ArticleDOI

Image rotation, Wigner rotation, and the fractional Fourier transform

TL;DR: In this article, the degree p = 1 is assigned to the ordinary Fourier transform and the degree P = 1/2 to the fractional transform, where p is the degree of the optical fiber.

Optics of the Human Eye

TL;DR: The optical structure and optical properties of the human eye are described, how the retinal image is formed and the factors affecting its quality are described.
Book

Optics of the Human Eye

TL;DR: The first stage in the process of vision is the formation of images of the outside world on the retina at the back of the eye as discussed by the authors, and the optical structure and optical properties of the human eye are described.