Local Lensing Geometry
We showed in Chapter 8 that the critical points of a generic k-plane lensing map are either folds or cusps. The current chapter discusses in detail the qualitative features of k-plane lensing maps near fold and cusp critical points, including quantitative results for the single and double-plane cases. This is followed by a study of the local geometry of caustics under 1-parameter evolutions. These results bear on Problem M3, which includes a characterization of the local properties of critical curves and caustics in gravitational lensing.
KeywordsPoint Mass Positive Parity Negative Parity Critical Curve Local Convexity
Unable to display preview. Download preview PDF.