- References
- External links
In mathematics, Fresnel's wave surface, found by Augustin-Jean Fresnel in 1821, is a quartic surface describing the propagation of light in an optically biaxial crystal. Wave surfaces are special cases of tetrahedroids which are in turn special cases of Kummer surfaces.
In projective coordinates (w:x:y:z) the wave surface is given by
References
- {{Citation | last1=Bateman | first1=H. | title= Kummer's quartic surface as a wave surface. | doi=10.1112/plms/s2-8.1.375 | year=1910 | journal=Proceedings of the London Mathematical Society | issn=0024-6115 | volume=8 | issue=1 | pages=375–382}}
- {{Citation | last1=Cayley | first1=Arthur | author1-link=Arthur Cayley | title=Sur la surface des ondes | id=Collected papers vol 1 pages 302–305 | year=1846 | journal=Journal de Mathématiques Pures et Appliquées | volume=11 | pages=291–296}}
- {{Citation | last1=Knörrer | first1=H. | title=Arithmetik und Geometrie | publisher=Birkhäuser | location=Basel, Boston, Berlin | series=Math. Miniaturen | isbn=978-3-7643-1759-1 |mr=879281 | year=1986 | volume=3 | chapter=Die Fresnelsche Wellenfläche | pages=115–141}}
- {{Citation | last1=Love | first1=A. E. H. | title=A treatise on the Mathematical Theory of Elasticity | origyear=1927 | url=https://books.google.com/books?id=ViebCriF-ssC | publisher=Dover Publications, New York | isbn=978-0-486-60174-8 |mr=0010851 | year=2011}}
External links
- Fresnel wave surface
3 : Algebraic surfaces|Complex surfaces|Waves
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