Average Magnification Effect of Clumping of Matter | Zendy

T. W. B. Kibble | Zendy; Richard Lieu | Zendy

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Average Magnification Effect of Clumping of Matter

Author(s) -

T. W. B. Kibble,

Richard Lieu

Publication year - 2005

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/444343

Subject(s) - magnification , context (archaeology) , reciprocal , homogeneous , universe , uncorrelated , statement (logic) , physics , mathematics , astrophysics , theoretical physics , statistical physics , optics , statistics , philosophy , epistemology , geography , linguistics , archaeology

The aim of this paper is to re-examine the question of the averagemagnification in a universe with some inhomogeneously distributed matter. Wepresent an analytic proof, valid under rather general conditions, includingclumps of any shape and size, and strong lensing, that so long as the clumpsare uncorrelated the average \emph{reciprocal} magnification (in one of severalpossible senses) is precisely the same as in a homogeneous universe with equalmean density. From this result, we also show that a similar statement can bemade about one definition of average \emph{direct} magnification. We discuss,in the context of observations of discrete and extended sources, the physicalsignificance of the various different measures of magnification and thecircumstances in which they are appropriate.Comment: ApJ in pres

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