Results 301 to 310 of about 101,618 (327)

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
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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.
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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.
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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.
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Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature, 2021
Yonglong Xie, Jeong Min Park, Daniel E Parker   +2 more
exaly  

Signatures of fractional quantum anomalous Hall states in twisted MoTe2

Nature, 2023
, Eric Anderson, Chong Wang
exaly  

Thermodynamic evidence of fractional Chern insulator in moiré MoTe2

Nature, 2023
, Patrick Knüppel, Kenji Watanabe
exaly  

Observation of fractional edge excitations in nanographene spin chains

Nature, 2021
Shantanu Mishra, Gonçalo Catarina, Fupeng Wu   +2 more
exaly  

Fractional Fourier Transform

2022
openaire   +1 more source

Concept, implementations and applications of Fourier ptychography

Nature Reviews Physics, 2021
Guoan Zheng, Cheng Shen, Shaowei Jiang
exaly