| Summary: | 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 98 === Focusing equality always needs to be improved in optics . In this thesis , we hope to design lens for solving focusing equality by numerical analysis . Assume that the light which parallels optical axis is incident a concave lens which is fixed . After the first time refraction , passing through an aspherical lens and the second time refraction , the light will focus in a spot . This aspherical lens will satisfy two Ordinary Differential Equation(ODE) . We use Runge Kutta fourth-order method to find out the numerical solution for those two ODE , and make a perfect focusing lens . Because the angle of the refracted ray and the optical axis can represents by y’s polynomial. Perfect lens’s y’s coefficient of degree three is approximate 1/3 . Adding angel step by step , we find y’s coefficient of scalar , degree of one , degree of two , and then design a better focusing equality lens .
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