Magnification relations in gravitational lensing via multidimensional residue integrals

Neal Dalal; Jeffrey M. Rabin

doi:10.1063/1.1347394

Magnification relations in gravitational lensing via multidimensional residue integrals

Neal Dalal, Jeffrey M. Rabin

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the so-called magnification relations of gravitational lensing models. We show that multidimensional residue integrals provide a simple explanation for the existence of these relations, and an effective method of computation. We illustrate the method with several examples, thereby deriving new magnification relations for galaxy lens models and microlensing (point mass lensing).

Original language	English (US)
Pages (from-to)	1818-1836
Number of pages	19
Journal	Journal of Mathematical Physics
Volume	42
Issue number	4
DOIs	https://doi.org/10.1063/1.1347394
State	Published - Apr 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1063/1.1347394

Library availability

Discover UIUC Full Text

Cite this

@article{c7fa3649e0244d339eae67f1a0a82160,

title = "Magnification relations in gravitational lensing via multidimensional residue integrals",

abstract = "We investigate the so-called magnification relations of gravitational lensing models. We show that multidimensional residue integrals provide a simple explanation for the existence of these relations, and an effective method of computation. We illustrate the method with several examples, thereby deriving new magnification relations for galaxy lens models and microlensing (point mass lensing).",

author = "Neal Dalal and Rabin, {Jeffrey M.}",

year = "2001",

month = apr,

doi = "10.1063/1.1347394",

language = "English (US)",

volume = "42",

pages = "1818--1836",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "4",

}

TY - JOUR

T1 - Magnification relations in gravitational lensing via multidimensional residue integrals

AU - Dalal, Neal

AU - Rabin, Jeffrey M.

PY - 2001/4

Y1 - 2001/4

N2 - We investigate the so-called magnification relations of gravitational lensing models. We show that multidimensional residue integrals provide a simple explanation for the existence of these relations, and an effective method of computation. We illustrate the method with several examples, thereby deriving new magnification relations for galaxy lens models and microlensing (point mass lensing).

AB - We investigate the so-called magnification relations of gravitational lensing models. We show that multidimensional residue integrals provide a simple explanation for the existence of these relations, and an effective method of computation. We illustrate the method with several examples, thereby deriving new magnification relations for galaxy lens models and microlensing (point mass lensing).

UR - http://www.scopus.com/inward/record.url?scp=0035531343&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035531343&partnerID=8YFLogxK

U2 - 10.1063/1.1347394

DO - 10.1063/1.1347394

M3 - Article

AN - SCOPUS:0035531343

SN - 0022-2488

VL - 42

SP - 1818

EP - 1836

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

ER -

Magnification relations in gravitational lensing via multidimensional residue integrals

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this