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).

16 pages, uses revtex4, submitted to Journal of Mathematical Physics

References in corpus (2)

• On the Magnfication Relations in Quadruple Lenses: A Moment Approach
• The magnification invariant of simple galaxy lens models

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• A Universal Magnification Theorem for Higher-Order Caustic Singularities
• Sharp parameter bounds for certain maximal point lenses
• A Lefschetz fixed point theorem in gravitational lensing
• Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing
• Geometry of Universal Magnification Invariants
• A Universal Magnification Theorem II. Generic Caustics up to Codimension Five
• Cusp Summations and Cusp Relations of Simple Quad Lenses
• Analytical Solutions of Singular Isothermal Quadrupole Lens
• A Universal Magnification Theorem III. Caustics Beyond Codimension Five
• The Magnification Invariant of Circularly-symmetric Lens Models