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Mass and Light distributions in Clusters of Galaxies - Henry A ...

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1.2.3 Weak Gravitational Lens<strong>in</strong>g . . . . . . . . . . . . . . . 18<br />

1.2.3.1 Measur<strong>in</strong>g Galaxy Shapes <strong>and</strong> Sizes . . . . . 19<br />

1.2.3.2 The KSB Method . . . . . . . . . . . . . . . . 20<br />

1.2.4 <strong>Clusters</strong> <strong>of</strong> <strong>Galaxies</strong> as Gravitational Lenses . . . . . . 21<br />

1.2.4.1 Distortion measurements <strong>in</strong> <strong>Clusters</strong> . . . . . 21<br />

1.2.4.2 Systematics <strong>of</strong> the Methods . . . . . . . . . . 22<br />

1.2.4.2.1 Projection Effects . . . . . . . . . . . 22<br />

1.2.4.2.2 <strong>Mass</strong>-Sheet Degeneracy . . . . . . . 23<br />

1.2.4.2.3 PSF Effects . . . . . . . . . . . . . . 23<br />

1.2.4.2.4 Weak Lens<strong>in</strong>g Dilution . . . . . . . . 24<br />

1.3 The Structure <strong>of</strong> the Thesis . . . . . . . . . . . . . . . . . . . 25<br />

2 Weak Lens<strong>in</strong>g Dilution <strong>in</strong> A1689 27<br />

2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27<br />

2.2 Subaru imag<strong>in</strong>g reduction <strong>and</strong> sample selection . . . . . . . . 31<br />

2.3 Distortion analysis <strong>of</strong> subaru images . . . . . . . . . . . . . . . 34<br />

2.4 Distortion analysis <strong>of</strong> ACS/HST images . . . . . . . . . . . . . 40<br />

2.5 Photometric redshifts . . . . . . . . . . . . . . . . . . . . . . . 44<br />

2.6 Weak lens<strong>in</strong>g dilution . . . . . . . . . . . . . . . . . . . . . . . 49<br />

2.7 Cluster light <strong>and</strong> color pr<strong>of</strong>iles . . . . . . . . . . . . . . . . . . 51<br />

2.8 Cluster lum<strong>in</strong>osity functions . . . . . . . . . . . . . . . . . . . 53<br />

2.9 M/L pr<strong>of</strong>iles . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59<br />

2.10 Cluster mass pr<strong>of</strong>ile . . . . . . . . . . . . . . . . . . . . . . . . 60<br />

2.11 Discussion <strong>and</strong> conclusions . . . . . . . . . . . . . . . . . . . . 65<br />

Appendix 2.A Cluster galaxy fraction from the lens<strong>in</strong>g dilution effect 67<br />

Appendix 2.B Non-l<strong>in</strong>ear effect <strong>in</strong> the reduced shear estimate . . . 69<br />

II

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