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Fermat's principle
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== References == {{reflist|30em|refs= <ref name=vanHouten-beenakker-1995-272>H. van Houten and C.W.J. Beenakker, 1995, [http://lorentz.leidenuniv.nl/beenakkr/mesoscopics/fulltext/172_108_Burstein.pdf "Principles of solid state electron optics"],{{tsp}} in{{tsp}} E. Burstein and C. Weisbuch (eds.), ''Confined Electrons and Photons: New Physics and Applications'' (NATO ASI Series; Series B: Physics, vol.{{nnbsp}}340), Boston, MA: Springer, {{ISBN|978-1-4615-1963-8}}, {{nowrap|pp.{{tsp}}269–303}}, {{doi|10.1007/978-1-4615-1963-8_9}}, at {{nowrap|pp.{{tsp}}272–3}}.</ref> <ref name=clerselier-1662>Clerselier to Fermat (in French), 6 May 1662,{{tsp}} in{{tsp}} P.{{nnbsp}}Tannery and C.{{nnbsp}}Henry (eds.), ''Œuvres de Fermat'', vol.{{nnbsp}}2 (Paris: Gauthier-Villars et fils, 1894), [https://archive.org/stream/oeuvresdefermat02ferm/#page/464 pp.{{nnbsp}}464–72].</ref> <ref name=fermat-1662-clerselier>Fermat to Clerselier (in French), 21 May 1662,{{tsp}} in{{tsp}} P.{{nnbsp}}Tannery and C.{{nnbsp}}Henry (eds.), ''Œuvres de Fermat'', vol.{{nnbsp}}2 (Paris: Gauthier-Villars et fils, 1894), [https://archive.org/stream/oeuvresdefermat02ferm/#page/482 pp.{{nnbsp}}482–4].</ref> <ref name=feynman-1988-51>R.P. Feynman, 1985 (seventh printing, 1988), ''QED: The Strange Theory of Light and Matter'', Princeton University Press, {{ISBN|0-691-02417-0}}, {{nowrap|pp.{{tsp}}51–2}}.</ref> <ref name=katscher-2016>{{citation | author=F. Katscher | title=When Was Pierre de Fermat Born? | work=Convergence | date=May 2016 | url=https://www.maa.org/press/periodicals/convergence/when-was-pierre-de-fermat-born | access-date=22 August 2019 | archive-date=11 October 2016 | archive-url=https://web.archive.org/web/20161011045650/https://www.maa.org/press/periodicals/convergence/when-was-pierre-de-fermat-born | url-status=dead }}.</ref> <ref name=laplace-1809>P.-S. Laplace (read 30 January 1809), [https://books.google.com/books?id=r9tVi_X2DwoC&pg=PA107 "Sur la loi de la réfraction extraordinaire de la lumière dans les cristaux diaphanes"], ''Journal de Physique, de Chimie et d'Histoire Naturelle'', {{nowrap|'''68''': 107–11}} (for January 1809).</ref> <ref name=lipsons>A. Lipson, S.G. Lipson, and H. Lipson, 2011, ''Optical Physics'', 4th Ed., Cambridge University Press, {{ISBN|978-0-521-49345-1}}, p.{{nnbsp}}36. (''Note:'' Where the authors imply that light propagating along the axis of a graded-index fiber takes the path of ''maximum'' time, they neglect the possibility of further lengthening the time by taking non-ray detours, e.g. by doubling back.)</ref> <ref name=lorentz-1907>H.A. Lorentz, 1907, ''Abhandlungen über Theoretische Physik'', [https://archive.org/details/abhandlungenber00loregoog vol.{{nnbsp}}1], Berlin: Teubner, ch.{{nnbsp}}14, ss.{{nnbsp}}12,{{hsp}}13, and ch.{{nnbsp}}16, s.{{nnbsp}}18; translated as "H.A. Lorentz on the equivalence of Huygens' construction and Fermat's principle", {{doi|10.5281/zenodo.3835134}}, 2020.</ref> <ref name=ogborn-taylor-2005>J. Ogborn and E.F. Taylor (January 2005), [http://www.eftaylor.com/pub/QMtoNewtonsLaws.pdf "Quantum physics explains Newton's laws of motion"], ''Physics Education'', {{nowrap|'''40''' (1): 26–34}}, {{doi|10.1088/0031-9120/40/1/001}}.</ref> <ref name=schuster-2000-261>J.A.{{tsp}}Schuster, 2000, "Descartes ''opticien'': The construction of the law of refraction and the manufacture of its physical rationales, 1618–29",{{tsp}} in{{tsp}} S. Gaukroger, J.A.{{nnbsp}}Schuster, and J. Sutton (eds.), ''Descartes' Natural Philosophy'', London: Routledge, pp.{{nnbsp}}258–312, at {{nowrap|pp.{{tsp}}261,{{tsp}}264–5}}.</ref> <ref name=smith-1959-651n>D.E. Smith, 1959, ''A Source Book in Mathematics'', vol.{{nnbsp}}3 (McGraw-Hill, 1929), reprinted Dover, 1959, p.{{nnbsp}}651n.</ref> <ref name=veselago-2002-1099>Cf.{{tsp}} V.G. Veselago (October 2002), "Formulating Fermat's principle for light traveling in negative refraction materials", ''Physics-Uspekhi'', {{nowrap|'''45''' (10): 1097–9}}, {{doi|10.1070/PU2002v045n10ABEH001223}}, at p.{{nnbsp}}1099.</ref> <ref name=zyga-2013>{{citation | author=L. Zyga | title=Ants follow Fermat's principle of least time | work=Phys.org | date=1 April 2013 | url=http://phys.org/news/2013-04-ants-fermat-principle.html | access-date=9 August 2019}}.</ref> }}
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