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One-dimensional integrals to calculate the two-dimensional Rayleigh–Sommerfeld diffraction integrals for non-rotationally symmetric functions and general polarizing illuminating fields
摘要： The recently reported (Alcalá Ochoa, 2018) approximation to the Rayleigh–Sommerfeld diffraction integrals (RSDI) is used to obtain a set of expressions to calculate the diffraction properties of non-rotationally symmetric optical systems illuminated with polarization fields. It is proved that the three two-dimensional integrals of RSDI can be expressed accurately from two to eight one-dimensional integrals depending of the type of polarization studied. It is proved also that previous developments based on Taylor’s approximations to the RSDI can be described by these new expressions.
关键词： Imaging optics,Diffraction,Fourier optics,Physical optics,Microscopy
更新于2025-09-23 15:23:52
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Light in power
摘要： We present in this paper a generic and parameter-free algorithm to efficiently build a wide variety of optical components, such as mirrors or lenses, that satisfy some light energy constraints. In all of our problems, one is given a collimated or point light source and a desired illumination after reflection or refraction and the goal is to design the geometry of a mirror or lens which transports exactly the light emitted by the source onto the target. We first propose a general framework and show that eight different optical component design problems amount to solving a light energy conservation equation that involves the computation of visibility diagrams. We then show that these diagrams all have the same structure and can be obtained by intersecting a 3D Power diagram with a planar or spherical domain. This allows us to propose an efficient and fully generic algorithm capable to solve these eight optical component design problems. The support of the prescribed target illumination can be a set of directions or a set of points located at a finite distance. Our solutions satisfy design constraints such as convexity or concavity. We show the effectiveness of our algorithm on simulated and fabricated examples.
关键词： Mirror design,Caustics,Lens design,Power diagram,Optimal Transport,Non-imaging Optics
更新于2025-09-23 15:23:52
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Design and testing of an externally-coupled planar waveguide photobioreactor
摘要： Waveguides can be used to deliver light deep into algal photobioreactors, allowing the growth of algal biofilms with high areal yield. A current drawback of these reactors is their dependency upon artificial illumination. A more practical approach would be to use direct sunlight to illuminate the waveguide photobioreactor. In this paper a novel optical system is designed to grow algal biofilm using waveguides illuminated with external light using 3D-printed paraboloidal mirrors. It was found that the polygonal approximation of a compound parabolic trough was an effective mechanism for focusing external natural light, which could be constructed easily. It is also demonstrated that algae biofilm biomass productivity on the waveguide increases by a factor of 2.5 when operated in conjunction with mirrored troughs.
关键词： Photobioreactor,Solar concentrators,Algal biofilm,Non-imaging optics,Light waveguide
更新于2025-09-12 10:27:22