Results 261 to 270 of about 40,269 (290)
Some of the next articles are maybe not open access.
Wavelet-fractional Fourier transforms
Chinese Physics B, 2008This 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, 2004Through 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 +5 more
openaire +2 more sources
Fractional Fourier transforms in two dimensions
Journal of the Optical Society of America A, 2000We 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, 1995The 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, 2003Finite 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, 2009The 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
Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023Jiaqi Cai, Eric Anderson, Chong Wang
exaly
Thermodynamic evidence of fractional Chern insulator in moiré MoTe2
Nature, 2023Kaifei Kang +2 more
exaly
Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
exaly