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Abstract: This article introduces a family of analytical functions of the form x^{ u}K { u}x, where K { u} is the incomplete Bessel function of the third kind.This family of functions can describe the density profile, projected andintegrated light profiles and the gravitational potentials of galaxies. For theproper choice of parameters, these functions accurately approximate Sersicfunctions over a range of indices and are good fits to galaxy light profiles.With an additional parameter corresponding to a galaxy core radius, thesefunctions can fit galaxy like M87 over a factor of 100,000 in radius. UnlikeSersic profiles, these functions have simple analytical 2-dimensional and3-dimensional Fourier transforms, so they are easily convolved with spatiallyvarying point spread function and are well suited for photometric and lensinganalysis. We use these functions to estimate the effects of seeing on lensingmeasurements and show that high S-N measurements, even when the PSF is largerthan the galaxy effective radius, should be able to recover accurate estimatesof lensing distortions by weighting light in the outer isophotes that are lesseffected by seeing.



Autor: David N Spergel

Fuente: https://arxiv.org/







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