Bifurcations of caustics and wave fronts
An evolving wave front will not at all moments of time be a generic front: at particular moments it will bifurcate. The study of such bifurcations reduces to a problem on generic singularities in one-parameter families of Legendrian maps. In this Chapter generic one-parameter families of Lagrangian and Legendrian maps are studied. Normal forms are given in those cases where the dimension of the front does not exceed four (or where the dimension of the caustic does not exceed two).
KeywordsWave Front Maslov Index Lagrangian Manifold Legendrian Curve Legendrian Submanifolds
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