Displaying similar documents to “About the Symposium, Foreword, Contents”

Topology and geometry of caustics in relation with experiments

Alain Joets (1999)

Banach Center Publications

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Caustics of geometrical optics are understood as special types of Lagrangian singularities. In the compact case, they have remarkable topological properties, expressed in particular by the Chekanov relation. We show how this relation may be experimentally checked on an example of biperiodic caustics produced by the deflection of the light by a nematic liquid crystal layer. Moreover the physical laws may impose a geometrical constraint, when the system is invariant by some group of symmetries....

Preface, Contents

Stanisław Janeczko, Wojciech Zajączkowski, Bogdan Ziemian (1996)

Banach Center Publications

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Caustics and wave front propagations: applications to differential geometry

Shyuichi Izumiya, Masatomo Takahashi (2008)

Banach Center Publications

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This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.

Foreword

Slovák, Jan, Čadek, Martin

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