Test of nonuniform FFT errors with Gaussian pulses

2016 ◽  
Author(s):  
Jen-Tsai Kuo ◽  
Hsin-Ying Lee
Keyword(s):  
Nonuniform Fft

scholarly journals Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

2016 ◽  
Vol 19 (5) ◽  
pp. 1141-1166 ◽  
Author(s):  
Weizhu Bao ◽  
Qinglin Tang ◽  
Yong Zhang
Keyword(s):  
Numerical Methods ◽  
Ground State ◽  
High Efficiency ◽  
Three Dimensional ◽  
Ground States ◽  
Dipole Interaction ◽  
Polar Coordinates ◽  
Pitaevskii Equation ◽  
Nonuniform Fft ◽  
Bose Einstein

AbstractWe propose efficient and accurate numerical methods for computing the ground state and dynamics of the dipolar Bose-Einstein condensates utilising a newly developed dipole-dipole interaction (DDI) solver that is implemented with the non-uniform fast Fourier transform (NUFFT) algorithm. We begin with the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a DDI term and present the corresponding two-dimensional (2D) model under a strongly anisotropic confining potential. Different from existing methods, the NUFFT based DDI solver removes the singularity by adopting the spherical/polar coordinates in the Fourier space in 3D/2D, respectively, thus it can achieve spectral accuracy in space and simultaneously maintain high efficiency by making full use of FFT and NUFFT whenever it is necessary and/or needed. Then, we incorporate this solver into existing successful methods for computing the ground state and dynamics of GPE with a DDI for dipolar BEC. Extensive numerical comparisons with existing methods are carried out for computing the DDI, ground states and dynamics of the dipolar BEC. Numerical results show that our new methods outperform existing methods in terms of both accuracy and efficiency.

The type 3 nonuniform FFT and its applications

2005 ◽  
Vol 206 (1) ◽  
pp. 1-5 ◽  
Author(s):  
June-Yub Lee ◽  
Leslie Greengard
Keyword(s):  
Nonuniform Fft ◽  
Type 3

Application of Nonuniform FFT to Spherical Near-Field Antenna Measurements

2020 ◽  
Vol 68 (11) ◽  
pp. 7571-7579 ◽  
Author(s):  
Fernando Rodriguez Varela ◽  
Belen Galocha Iraguen ◽  
Manuel Sierra-Castaner
Keyword(s):  
Near Field ◽  
Antenna Measurements ◽  
Nonuniform Fft
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