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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 23 — Nov. 18, 2013
  • pp: 28693–28701

Designing double freeform optical surfaces for controlling both irradiance and wavefront

Zexin Feng, Lei Huang, Guofan Jin, and Mali Gong  »View Author Affiliations

Optics Express, Vol. 21, Issue 23, pp. 28693-28701 (2013)

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We propose an improved double freeform-optical-surface design method for shaping a prescribed irradiance distribution whilst forming a desired wavefront from a given incident beam. This method generalizes our previous work [Opt. Exp. 21, 14728-14735 (2013)] to tackle non-separable beam irradiances. We firstly compute a proper ray mapping using an adaptive mesh method in the framework of the L2 Monge-Kantorovich mass transfer problem. Then, we construct the two freeform optical surfaces according to this mapping using a modified simultaneous point-by-point procedure which is aimed to minimize the surface errors. For the first surface, the modified procedure works by firstly approximating a value to the next point by only using the slope of the current point and then improving it by utilizing both slopes of the two points based on Snell’s law. Its corresponding point on the second surface can be computed using the constant optical path length condition. A design example of producing a challenging irradiance distribution and a non-ideal wavefront demonstrates the effectiveness of the method.

© 2013 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(080.1753) Geometric optics : Computation methods
(080.4225) Geometric optics : Nonspherical lens design
(080.4298) Geometric optics : Nonimaging optics

ToC Category:
Optical Design and Fabrication

Original Manuscript: September 13, 2013
Revised Manuscript: October 31, 2013
Manuscript Accepted: November 4, 2013
Published: November 14, 2013

Zexin Feng, Lei Huang, Guofan Jin, and Mali Gong, "Designing double freeform optical surfaces for controlling both irradiance and wavefront," Opt. Express 21, 28693-28701 (2013)

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