Beltrami Equation And Cluster Lensing
نویسندگان
چکیده
منابع مشابه
The complex theory of gravitational lensing: Beltrami equation and cluster lensing
We introduce a new complex formalism to describe arclet elds in clusters of galaxies and derive the appropriate inversion techniques to nd the related mass distribution of the lensing cluster. Applying the complex formalism to the statistics of lensed background sources shows that the mean of the axial ratios of locally lensed isotropically distributed elliptical sources is not in uenced by the...
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Recently, certain higher dimensional complex manifolds were obtained in [1] by associating a higher dimensional uniformisation to the generalised Teichmüller spaces of Hitchin. The extra dimensions are provided by the “times” of the generalised KdV hierarchy. In this paper, we complete the proof that these manifolds provide the analog of superspace for W-gravity and that Wsymmetry linearises on...
متن کاملNumerical Solution of the Beltrami Equation
Abstract. An effective algorithm is presented for solving the Beltrami equation ∂f = μ ∂f in a planar disk. The algorithm involves no evaluation of singular integrals. The strategy, working in concentric rings, is to construct a piecewise linear μ-conformal mapping and then correct the image using a known algorithm for conformal mappings. Numerical examples are provided and the computational co...
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By stacking an ensemble of strong lensing clusters, we demonstrate the feasibility of placing constraints on the dark energy equation of state. This is achieved by using multiple images of sources at two or more distinct redshift planes. The sample of smooth clusters in our simulations is based on observations of massive clusters and the distribution of background galaxies is constructed using ...
متن کاملSpitzer Massive Lensing Cluster Survey
We are currently undertaking a Spitzer GTO program to image ∼ 30 massive lensing clusters at moderate redshift with both IRAC and MIPS. By taking advantage of the gravitatinoal lensing power of these clusters, we will study the population of faint galaxies that are below the nominal Spitzer detection limits. Here, we present a few examples of our science programs.
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ژورنال
عنوان ژورنال: Symposium - International Astronomical Union
سال: 1996
ISSN: 0074-1809
DOI: 10.1017/s0074180900231185