Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
It is shown that to compute aberration coefficients up to eighth order the number of skew rays traced can be reduced so that only one skew ray is necessary. Together with this skew ray the principal ray and four meridional rays are also traced. To calculate the coefficients, use is made of the usual...
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09639659_v2_n6_p607_Comastri |
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| Sumario: | It is shown that to compute aberration coefficients up to eighth order the number of skew rays traced can be reduced so that only one skew ray is necessary. Together with this skew ray the principal ray and four meridional rays are also traced. To calculate the coefficients, use is made of the usual three equations for the wavefront aberration function and its two separate first derivatives, together with the two equations obtained in a previous paper for the second derivatives of the aberration function. These last derivatives are proportional to the curvatures of the real wavefront in relation to the curvature of the reference sphere and their expressions are apt, up to the present, for meridional rays alone. Numerical results for four optical systems are shown. |
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