Analogue computing with metamaterials

F Zangeneh-Nejad, DL Sounas, A Alù… - Nature Reviews …, 2021 - nature.com
Despite their widespread use for performing advanced computational tasks, digital signal
processors suffer from several restrictions, including low speed, high power consumption …

Clarify the physical process for fractional dynamical systems

P Zhou, J Ma, J Tang - Nonlinear Dynamics, 2020 - Springer
Dynamics in fractional order systems has been discussed extensively for presenting a
possible guidance in the field of applied mathematics and interdisciplinary science. Within …

[图书][B] Ultrashort laser pulse phenomena

JC Diels, W Rudolph - 2006 - books.google.com
Ultrashort Laser Pulse Phenomena, Second Edition serves as an introduction to the
phenomena of ultra short laser pulses and describes how this technology can be used to …

The fractional Fourier transform

HM Ozaktas, MA Kutay - 2001 European Control Conference …, 2001 - ieeexplore.ieee.org
A brief introduction to the fractional Fourier transform and its properties is given. Its relation
to phase-space representations (time-or space-frequency representations) and the concept …

Digital computation of the fractional Fourier transform

HM Ozaktas, O Arikan, MA Kutay… - IEEE Transactions on …, 1996 - ieeexplore.ieee.org
An algorithm for efficient and accurate computation of the fractional Fourier transform is
given. For signals with time-bandwidth product N, the presented algorithm computes the …

Image rotation, Wigner rotation, and the fractional Fourier transform

AW Lohmann - JOSA A, 1993 - opg.optica.org
In this study the degree p= 1 is assigned to the ordinary Fourier transform. The fractional
Fourier transform, for example with degree P= 1/2, performs an ordinary Fourier transform if …

Fractional Fourier transforms and their optical implementation: I

D Mendlovic, HM Ozaktas - JOSA A, 1993 - opg.optica.org
Fourier transforms of fractional order a are defined in a manner such that the common
Fourier transform is a special case with order a= 1. An optical interpretation is provided in …

The discrete fractional Fourier transform

C Candan, MA Kutay… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
We propose and consolidate a definition of the discrete fractional Fourier transform that
generalizes the discrete Fourier transform (DFT) in the same sense that the continuous …

Fractional Fourier transforms and their optical implementation. II

HM Ozaktas, D Mendlovic - JOSA A, 1993 - opg.optica.org
The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution
and the space–bandwidth product for propagation in graded-index media are discussed in …

Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms

HM Ozaktas, B Barshan, D Mendlovic, L Onural - JOSA A, 1994 - opg.optica.org
A concise introduction to the concept of fractional Fourier transforms is followed by a
discussion of their relation to chirp and wavelet transforms. The notion of fractional Fourier …