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ICOP & ICPET 2017, 23 - : 217-220 Back to browse issues page
Designing freeform lens by using numerical solutions of Monge-Ampere equation
Mohammad Vahedi Dr * 1, Reza Sharifi Hafshejani
Abstract:   (983 Views)

Due to the importance of designing process of optical elements, novel methods are presented to improve the prior designing schemes. Recently, it has been shown that nonlinear second order partial differential equation of Monge-Ampere could be used in designing free-form optical elements. It has been tried to construct a freeform lens that is able to transfer received intensity distribution on the surface of the lens to the desired pattern on the target plane. The Newton linearization method has been used to solve the nonlinear equation. By use of Newton’s method in the iteration loop, it’s possible to reach to better results for freeform lens surface structure. By use of several iterations, we achieved improved points cloud of 3D shape of the freeform lens.

Keywords: freeform lens, Monge-Ampere equation, points cloud, optical design, illumination engineering
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Type of Study: Research | Subject: Special
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Vahedi M, Sharifi Hafshejani R. Designing freeform lens by using numerical solutions of Monge-Ampere equation. ICOP & ICPET. 2017; 23 :217-220
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Volume 23 - Back to browse issues page
انجمن اپتیک و فوتونیک ایران Optics and Photonics Society of Iran
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