Physics – Classical Physics
Scientific paper
2009-04-02
J. Opt. 13 (2011) 105706
Physics
Classical Physics
15 pages, 7 figures, uses iopart. Major revisions on the physical interpretations of the results. Accepted for publication in
Scientific paper
10.1088/2040-8978/13/10/105706
The Gaussian formula and spherical aberrations of the static and relativistic curved mirrors are analyzed using the optical path length (OPL) and Fermat's principle. The geometrical figures generated by the rotation of conic sections about their symmetry axes are considered for the shapes of the mirrors. By comparing the results in static and relativistic cases, it is shown that the focal lengths and the spherical aberration relations of the relativistic mirrors obey the Lorentz contraction. Further analysis of the spherical aberrations for both static and relativistic cases have resulted in the information about the limits for the paraxial approximation, as well as for the minimum speed of the systems to reduce the spherical aberrations.
Sutanto Sylvia H.
Tjiang Paulus C.
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