We have designed a Linear Fresnel-type Reflector (LFR) to reduce the area of light concentration based on the caustic surfaces produced by reflection. The LFR is designed by a set of planar mirrors, which appropriately have slopes in such a way that input energy can be focused at predefined absorber area. Also, losses due to riser steps were obtained from a geometrical point of view, to reduce and reconfigure the LFR shape in order to facilitate its manufacture. Finally, a LFR prototype will be fabricated on a single aluminum sheet where their grooves will be molded through CNC machine.
We study the propagation of wavefronts refracted through separated doublet lenses (SDL), considering a plane wavefront propagating parallel to the optical axis. We provide formulas for the zero-distance phase front refracted through SDL by using Huygens’s principle. Additionally, we obtain formulae to represent the shape of refracted wavefronts propagated at arbitrary distances along the optical axis, as a function of all parameters involved in the process of refraction. Finally, some examples for commercial SDL showing the evolution of the wavefronts arbitrary distances are presented, assuming different wavelengths for the refractive indices of the lenses, displaying dispersion effects produced through SDL.
We have designed a Linear Fresnel Reflector (LFR), with potential applications for solar concentration, by using an exact ray tracing. We have mathematically parameterized the slopes of LFR to provide predefined areas of light concentration. LFR planar mirrors were calculated in such a way that an incident plane wavefront can be focused at minimum absorber area. Finally, prototypes of LFR were manufactured by using a 3D printer, considering a set of small sized mirrors to join up with the aim of producing a linear focus.
A method for designing afocal achromatic doublet is presented. We have implemented an exact ray trace through a separated doublet lens considering a plane wavefront propagating along the optical axis. The analytic equation of both the caustic surface and the back focal length for separated doublet lenses are provided. Demanding that the back focal length tends to infinity, we impose the conditions to design afocal optical systems, obtaining sixth and fourth degree polynomials as a function of the radii of curvature. In order to produce an afocal achromatic optical system, we solve numerically a set of two nonlinear equations assuming two spectral lines. Therefore, we have two unknowns which are the curvature radii for both the front surface and the rear surface. The contribution of this work is to provide simple formulas for designing optical beam expander or reducer devices based on separated doublets.
We study the propagation of wavefronts produced through cemented doublet lenses, considering a plane wavefront propagating parallel to the optical axis. We provide formulas for the zero-distance phase front by using Huygens's principle, also we provide formulae to represent the shape of refracted wavefronts propagated arbitrary distances along the optical axis, which are function of all parameters involved in the process of refraction. We present examples of doublet lenses showing the evolution of the wavefronts arbitrary distances, assuming different wavelengths for the refractive indices of the lenses, for this purpose we compare the dispersion effects produced through this particular kind of lenses.
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