Analysis of Permanent Magnet Brushless AC Motor Using Two Dimensional Fourier Transform-Parseval’s Theorem

2015 ◽  
pp. 185-195
Author(s):  
Ankita Dwivedi ◽  
S. K. Singh ◽  
R. K. Srivastava
Keyword(s):  
Fourier Transform ◽  
Permanent Magnet ◽  
Two Dimensional ◽  
Ac Motor ◽  
Parseval’S Theorem

Analysis of permanent magnet brushless AC motor using Fourier transform approach

2016 ◽  
Vol 10 (6) ◽  
pp. 539-547 ◽  
Author(s):  
Ankita Dwivedi ◽  
Santhosh Kumar Singh ◽  
Rakesh Kumar Srivastava
Keyword(s):  
Fourier Transform ◽  
Permanent Magnet ◽  
Ac Motor

Comparison of Calculated and Recorded Electron Energy-Loss Spectra of Aluminium and Carbon

1990 ◽  
Vol 48 (2) ◽  
pp. 64-65
Author(s):  
L. Reimer ◽  
R. Oelgeklaus
Keyword(s):  
Fourier Transform ◽  
Energy Loss ◽  
Electron Energy ◽  
Rotational Symmetry ◽  
Mean Free Path ◽  
Single Scattering ◽  
Specimen Thickness ◽  
Two Dimensional ◽  
Image Position ◽  
Electron Energy Loss

Quantitative electron energy-loss spectroscopy (EELS) needs a correction for the limited collection aperture α and a deconvolution of recorded spectra for eliminating the influence of multiple inelastic scattering. Reversely, it is of interest to calculate the influence of multiple scattering on EELS. The distribution f(w,θ,z) of scattered electrons as a function of energy loss w, scattering angle θ and reduced specimen thickness z=t/Λ (Λ=total mean-free-path) can either be recorded by angular-resolved EELS or calculated by a convolution of a normalized single-scattering function ϕ(w,θ). For rotational symmetry in angle (amorphous or polycrystalline specimens) this can be realised by the following sequence of operations :(1)where the two-dimensional distribution in angle is reduced to a one-dimensional function by a projection P, T is a two-dimensional Fourier transform in angle θ and energy loss w and the exponent -1 indicates a deprojection and inverse Fourier transform, respectively.

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