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The discrete fractional Fourier transform
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 …
[کتاب][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 …
Relations between fractional operations and time-frequency distributions, and their applications
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 …
On the role of fractional calculus in electromagnetic theory
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 …
Gerchberg–Saxton algorithm applied in the fractional Fourier or the Fresnel domain
The Gerchberg–Saxton (G–S) algorithm is a well-known procedure used in various optical
implementations. One of its most common applications is beam sha** of an input plane. In …
implementations. One of its most common applications is beam sha** of an input plane. In …
Fractional fourier optics
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 …
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 …
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 …
Fractional wavelet transform
The wavelet transform, which has had a growing importance in signal and image
processing, has been generalized by association with both the wavelet transform and the …
processing, has been generalized by association with both the wavelet transform and the …
Introduction to the fractional Fourier transform and its applications
Publisher Summary This chapter is an introduction to the fractional Fourier transform and its
applications. The fractional Fourier transform is a generalization of the ordinary Fourier …
applications. The fractional Fourier transform is a generalization of the ordinary Fourier …