Open AccessThe importance of Fourier phases for the morphology of gravitational clustering
Author(s) -
Chiang LungYih
Publication year - 2001
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2001.04458.x
Subject(s) - physics , cluster analysis , fourier transform , amplitude , phase (matter) , phase correlation , plane (geometry) , distribution (mathematics) , fourier analysis , statistical physics , fourier series , astrophysics , rank (graph theory) , correlation , optics , geometry , mathematical analysis , statistics , mathematics , short time fourier transform , quantum mechanics , combinatorics
The phases of the Fourier modes appearing in a plane‐wave expansion of cosmological density fields play a vital role in determining the morphology of gravitationally developed clustering. We demonstrate this qualitatively and quantitatively using simulations. In particular, we use cross‐correlation and rank‐correlation techniques to quantify the agreement between a simulated distribution and phase‐only reconstructions. The phase‐only reconstructions exhibit a high degree of correlation with the original distributions, showing how meaningful spatial reconstruction of cosmological density fields depends more on phase accuracy than on amplitudes.