Results 301 to 310 of about 42,784 (333)

Fractional Fourier transform reflectometry

SPIE Proceedings, 2014
In some OFDR implementations it is advantageous to use sinusoidal frequency tuning and to work in the linear range of the sinusoid. For a given scan frequency this limits the maximum length of the interrogated fiber. We propose a new method which allows exceedingly large delays while maintaining high scan rates.
Lihi Shiloh, Avishay Eyal
openaire   +1 more source

Quantum Fractional Fourier Transform

Frontiers in Optics / Laser Science, 2018
Fourier transform has taken place in different areas and applications, in this paper has been revised an important new form of application in the paradigm of quantum computing. Quantum Fourier transforms have gained increased attention with the rise of quantum walks, boson sampling, and quantum metrology [2]. In the Shor’s Algorithm it is used for find
Yesid Madrid, Martha Molina, Rafael Torres   +2 more
openaire   +1 more source

Double-lens extended fractional Fourier transform

Applied Optics, 2006
A double-lens extended fractional Fourier transform (EFRT) is proposed. In the double-lens setup, arbitrary-order EFRTs including real orders and complex orders can be carried out. To verify that the single-lens EFRT and the double-lens EFRT are equivalent, numerical simulations and optical experiments for the real-order EFRT and the complex-order EFRT
Caijie, Yan, Weimin, Jin
openaire   +2 more sources

Beam analysis by fractional Fourier transform

Optics Letters, 2001
A method of spatial modal decomposition for optical beams by fractional Fourier transform, and its practical implementation with reduced complexity by use of modal interleavers, are discussed.
X, Xue, H, Wei, A G, Kirk
openaire   +2 more sources

Wavelet-fractional Fourier transforms

Chinese Physics B, 2008
This paper extends the definition of fractional Fourier transform (FRFT) proposed by Namias V by using other orthonormal bases for L2 (R) instead of Hermite–Gaussian functions. The new orthonormal basis is gained indirectly from multiresolution analysis and orthonormal wavelets. The so defined FRFT is called wavelets-fractional Fourier transform.
openaire   +1 more source

Improved fast fractional-Fourier-transform algorithm

Journal of the Optical Society of America A, 2004
Through the optimization of the main interval of the fractional order, an improved fast algorithm for numerical calculation of the fractional Fourier transforms is proposed. With this improved algorithm, the fractional Fourier transforms of a rectangular function and a Gaussian function are calculated.
Xingpeng, Yang, Qiaofeng, Tan, Xiaofeng, Wei, Yong, Xiang, Yingbai, Yan, Guofan, Jin   +5 more
openaire   +2 more sources

Fractional Fourier transforms in two dimensions

Journal of the Optical Society of America A, 2000
We analyze the fractionalization of the Fourier transform (FT), starting from the minimal premise that repeated application of the fractional Fourier transform (FrFT) a sufficient number of times should give back the FT. There is a qualitative increase in the richness of the solution manifold, from U(1) (the circle S1) in the one-dimensional case to U ...
R, Simon, K B, Wolf
openaire   +2 more sources

Fractionalization of Fourier transform

Optics Communications, 1995
The conventional definition of fractional-order Fourier transform is demonstrate to be not unique. The same rules can be applied to create a new type of fractional-order Fourier transform which results in a smooth transition of a function when transformed between the real and Fourier spaces.
openaire   +1 more source

Discrete and finite fractional Fourier transforms

Frontiers in Optics, 2003
Finite models for oscillator or waveguide systems provide corresponding fractional Fourier-type transforms between finite arrays of ‘sensor’ points. The kernel matrices are unitary and are well-known in group theory; they involve the discrete polynomials of Kravchuk, q-Kravchuk, Meixner and Hahn.
openaire   +1 more source

Classical versus complex fractional Fourier transformation

Journal of the Optical Society of America A, 2009
The quantum optical complex fractional Fourier transform (FRFT) has been related to the classical FRFT using both classical and quantum formalisms. In particular, it was shown that the kernel of the complex FRFT can be classically produced with rotated astigmatic optical systems that mimic the quantum entanglement property.
openaire   +2 more sources