Vladimir Oliker - Publications

Affiliations: 
Math and Computer Science Emory University, Atlanta, GA 
Area:
Mathematics, Applied Mathematics, Optics Physics

30 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Doskolovich LL, Bykov DA, Andreev ES, Bezus EA, Oliker V. Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems. Optics Express. 26: 24602-24613. PMID 30469573 DOI: 10.1364/Oe.26.024602  0.456
2018 Oliker V, Doskolovich LL, Bykov DA. Beam shaping with a plano-freeform lens pair. Optics Express. 26: 19406-19419. PMID 30114113 DOI: 10.1364/Oe.26.019406  0.36
2017 Oliker V. Controlling light with freeform multifocal lens designed with supporting quadric method(SQM). Optics Express. 25: A58-A72. PMID 28241665 DOI: 10.1364/Oe.25.000A58  0.4
2016 Oliker V. Freeform multifocal lenses designed with the SQM: geometry and diffraction Proceedings of Spie. 9955. DOI: 10.1117/12.2238025  0.405
2015 Doskolovich LL, Moiseev MA, Bezus EA, Oliker V. On the use of the supporting quadric method in the problem of the light field eikonal calculation. Optics Express. 23: 19605-17. PMID 26367618 DOI: 10.1364/Oe.23.019605  0.43
2015 Ricketts MN, Winston R, Oliker V. Diffraction effects in freeform optics Proceedings of Spie - the International Society For Optical Engineering. 9572. DOI: 10.1117/12.2191895  0.361
2015 Oliker V, Rubinstein J, Wolansky G. Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light Advances in Applied Mathematics. 62: 160-183. DOI: 10.1016/J.Aam.2014.09.009  0.475
2014 Oliker V. Controlling light with freeform optics Spie Newsroom. DOI: 10.1117/2.1201409.005600  0.314
2014 Oliker V. Differential equations for design of a freeform single lens with prescribed irradiance properties Optical Engineering. 53. DOI: 10.1117/1.OE.53.3.031302  0.356
2012 Graf T, Oliker VI. An optimal mass transport approach to the near-field reflector problem in optical design Inverse Problems. 28. DOI: 10.1088/0266-5611/28/2/025001  0.533
2011 Oliker V. Designing Freeform Lenses for Intensity and Phase Control of Coherent Light with Help from Geometry and Mass Transport Archive For Rational Mechanics and Analysis. 201: 1013-1045. DOI: 10.1007/S00205-011-0419-X  0.462
2009 Oliker V. Sensitivity to figure error of a freeform refractive beam shaper Proceedings of Spie - the International Society For Optical Engineering. 7423. DOI: 10.1117/12.825184  0.381
2008 Oliker V. On design of free-form refractive beam shapers, sensitivity to figure error, and convexity of lenses. Journal of the Optical Society of America. a, Optics, Image Science, and Vision. 25: 3067-76. PMID 19037398 DOI: 10.1364/Josaa.25.003067  0.44
2008 Caffarelli LA, Oliker VI. Weak solutions of one inverse problem in geometric optics Journal of Mathematical Sciences. 154: 39-49. DOI: 10.1007/S10958-008-9152-X  0.336
2007 Oliker V. Optical design of freeform two-mirror beam-shaping systems. Journal of the Optical Society of America. a, Optics, Image Science, and Vision. 24: 3741-52. PMID 18059927 DOI: 10.1364/Josaa.24.003741  0.447
2007 Oliker V. Embedding Sn into Rn + 1 with given integral Gauss curvature and optimal mass transport on Sn Advances in Mathematics. 213: 600-620. DOI: 10.1016/J.Aim.2007.01.005  0.376
2006 Oliker V. Freeform optical systems with prescribed irradiance properties in near-field Proceedings of Spie - the International Society For Optical Engineering. 6342. DOI: 10.1117/12.692268  0.393
2005 Oliker V. A variational solution of the A. D. Aleksandrov problem of existence of a convex polytope with prescribed Gauss curvature Banach Center Publications. 69: 81-90. DOI: 10.4064/Bc69-0-4  0.334
2005 Oliker V. Optical design of two-mirror beam-shaping systems. Convex and non-convex solutions for symmetric and non-symmetric data Proceedings of Spie - the International Society For Optical Engineering. 5876: 1-12. DOI: 10.1117/12.615977  0.436
2005 Oliker V. Geometric and variational methods in optical design of reflecting surfaces with prescribed irradiance properties Proceedings of Spie - the International Society For Optical Engineering. 5942: 1-12. DOI: 10.1117/12.615973  0.452
2004 Glimm T, Oliker V. Optical design of two-reflector systems, the monge-kantorovich mass transfer problem and fermat's principle Indiana University Mathematics Journal. 53: 1255-1278. DOI: 10.1512/Iumj.2004.53.2455  0.41
2003 Glimm T, Oliker V. Optical Design of Single Reflector Systems and the Monge–Kantorovich Mass Transfer Problem Journal of Mathematical Sciences. 117: 4096-4108. DOI: 10.1023/A:1024856201493  0.443
1998 Kochengin SA, Oliker VI, Von Tempski O. On the design of reflectors with prespecified distribution of virtual sources and intensities Inverse Problems. 14: 661-678. DOI: 10.1088/0266-5611/14/3/016  0.337
1995 Newman E, Oliker V. Determining the intensities produced by reflected and refracted wave fronts in geometrical optics Journal of the Optical Society of America a: Optics and Image Science, and Vision. 12: 784-798. DOI: 10.1364/Josaa.12.000784  0.396
1993 Oliker V, Newman E, Prussner L. Formula for computing illumination intensity in a mirror optical system Journal of the Optical Society of America a: Optics and Image Science, and Vision. 10: 1895-1901. DOI: 10.1364/Josaa.10.001895  0.374
1993 Oliker V. The ray tracing and energy conservation equations for mirror systems with two reflecting surfaces Computers and Mathematics With Applications. 26: 9-18. DOI: 10.1016/0898-1221(93)90047-Y  0.326
1993 Oliker V, Newman E. The energy conservation equation in the reflector mapping problem Applied Mathematics Letters. 6: 91-95. DOI: 10.1016/0893-9659(93)90156-H  0.375
1990 Gatica JA, Oliker V, Waltman P. Iterative procedures for nonlinear second order boundary value problems Annali Di Matematica Pura Ed Applicata. 157: 1-25. DOI: 10.1007/Bf01765310  0.321
1989 Gatica JA, Oliker V, Waltman P. Singular nonlinear boundary value problems for second-order ordinary differential equations Journal of Differential Equations. 79: 62-78. DOI: 10.1016/0022-0396(89)90113-7  0.34
1987 Oliker VI. Near radially symmetric solutions of an inverse problem in geometric optics Inverse Problems. 3: 743-756. DOI: 10.1088/0266-5611/3/4/017  0.348
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