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 …
generalizes the discrete Fourier transform (DFT) in the same sense that the continuous …
[图书][B] Gradient-index optics: fundamentals and applications
C Gomez-Reino, MV Perez, C Bao - 2012 - books.google.com
Gradient-Index (GRIN) optics provides a comprehensive and thorough treatment on
fundamentals and applications of light propagation through inhomogeneous media. The …
fundamentals and applications of light propagation through inhomogeneous media. The …
On the role of fractional calculus in electromagnetic theory
N Engheia - IEEE Antennas and Propagation Magazine, 1997 - ieeexplore.ieee.org
We have applied the concept of fractional derivatives/integrals in several specific
electromagnetic problems, and have obtained promising results and ideas that demonstrate …
electromagnetic problems, and have obtained promising results and ideas that demonstrate …
Relations between fractional operations and time-frequency distributions, and their applications
SC Pei, JJ Ding - IEEE Transactions on Signal Processing, 2001 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) is a useful tool for signal processing. It is the
generalization of the Fourier transform. Many fractional operations, such as fractional …
generalization of the Fourier transform. Many fractional operations, such as fractional …
Gerchberg–Saxton algorithm applied in the fractional Fourier or the Fresnel domain
Z Zalevsky, D Mendlovic, RG Dorsch - Optics Letters, 1996 - opg.optica.org
The Gerchberg–Saxton (G–S) algorithm is a well-known procedure used in various optical
implementations. One of its most common applications is beam shaping of an input plane. In …
implementations. One of its most common applications is beam shaping of an input plane. In …
Fractional fourier optics
HM Ozaktas, D Mendlovic - JOSA A, 1995 - opg.optica.org
There exists a fractional Fourier-transform relation between the amplitude distributions of
light on two spherical surfaces of given radii and separation. The propagation of light can be …
light on two spherical surfaces of given radii and separation. The propagation of light can be …
Newton–Leibniz integration for ket–bra operators in quantum mechanics (IV)—integrations within Weyl ordered product of operators and their applications
H Fan - Annals of Physics, 2008 - Elsevier
We show that the technique of integration within normal ordering of operators [Hong-yi Fan,
Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480–494] applied to tackling Newton–Leibniz …
Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480–494] applied to tackling Newton–Leibniz …
[HTML][HTML] Guided self-accelerating Airy beams—a mini-review
Owing to their nondiffracting, self-accelerating, and self-healing properties, Airy beams of
different nature have become a subject of immense interest in the past decade. Their …
different nature have become a subject of immense interest in the past decade. Their …
[图书][B] Progress in optics
E Wolf - 2005 - books.google.com
In this volume, six review articles which cover a broad range of topics of current interest in
modern optics are included. The first article by S. Saltiel, AA Sukhorukov and YS Kivshar …
modern optics are included. The first article by S. Saltiel, AA Sukhorukov and YS Kivshar …
Fractional curl operator in electromagnetics
N Engheta - Microwave and Optical Technology Letters, 1998 - Wiley Online Library
HHHHHHH Page 1 Ž . In the correlation imaging, Eq. A.4 , two phase factors are introduced
for focusing. The phase difference can be 4k r, which means that the ultimate resolution can …
for focusing. The phase difference can be 4k r, which means that the ultimate resolution can …