caa a22 4500 47704705X CHVBK 20180405111333.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00874573 doi (NATIONALLICENCE)springer-10.1007/BF00874573 Hanyga Andrzej Institute for Solid Earth Physics, University of Bergen, Allégaten 41, N5007, Bergen, Norway aut Point-to-curve ray tracing [Elektronische Daten] [Andrzej Hanyga] Point-to-curve ray tracing is an attempt at dealing with multiplicity of solutions to a generic boundary-value problem of ray tracing. In a point-to-curve tracing (P2C) the input parameters of the boundary-value problem (BVP), such as the ends of the ray, are allowed to vary along a curve. The solutions of the BVP automatically wander from one solution branch to another generating a nearly complete multi-valued solution of the BVPs. A procedure for transforming an arbitrary iterative algorithm, solving a ray tracing BVP to a corresponding P2C algorithm, is presented. Bifurcations of the solution curve of the P2C problem at caustics are studied and an algorithm for obtaining the bifurcating branches is developed. In particular, transition from real rays to complex rays in a caustic shadow offers an additional link between otherwise disconnected solution curves of the P2C problem. The topological structure of a generic solution curve and its implications for the algorithm are studied. Birkhäuser Verlag, 1996 Ray tracing nationallicence bifurcation nationallicence complex rays nationallicence diffraction nationallicence pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 387-420 0033-4553 148:3-4<387 1996 148 24 https://doi.org/10.1007/BF00874573 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00874573 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hanyga Andrzej Institute for Solid Earth Physics, University of Bergen, Allégaten 41, N5007, Bergen, Norway aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 387-420 0033-4553 148:3-4<387 1996 148 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer