Perfect imaging of three object points with only two analytic lens surfaces in two dimensions

Duerr, Fabian; Benı́tez, Pablo; Miñano, Juan C.; Meuret, Youri; Thienpont, Hugo

doi:10.1117/12.922089

Cited by 6 publications

(4 citation statements)

References 14 publications

(17 reference statements)

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“…The derived general analytic solution makes it possible to calculate the lens profiles up to 20 th order Taylor series about the convergence points. 17 In a next step, we generalized the two-dimensional analytic optics design method to the three-dimensional case. 18 In a similar way, Fermat's principle is used to derive additional sets of functional differential equations which makes it possible to calculate the Taylor series functions describing the free-form lens surfaces by more than 100 coefficients.…”

Section: Steps Towards a Tailored Free-form Solutionmentioning

confidence: 99%

Analytic free-form lens design for tracking integration in concentrating photovoltaics

et al. 2012

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In this work the concept of tracking integration in concentrating photovoltaics (CPV) is revisited and developed further. With respect to conventional CPV, tracking integration eliminates the clear separation between stationary units of optics and solar cells, and external solar trackers. This approach is capable of further increasing the concentration ratio and makes high concentrating photovoltaics (> 500×) available for single-axis tracker installations. The reduced external solar tracking effort enables possibly cheaper and more compact installations. Our proposed optical system uses two laterally moving plano-convex lenses to achieve high concentration over a wide angular range of ±24 • . The lateral movement allows to combine both steering and concentration of the incident direct sun light. Given the specific symmetry conditions of the underlying optical design problem, rotational symmetric lenses are not ideal for this application. For this type of design problems, a new free-form optics design method presented in previous papers perfectly matches the symmetry. It is derived directly from Fermat's principle, leading to sets of functional differential equations allowing the successive calculation of the Taylor series coefficients of each implicit surface function up to very high orders. For optical systems designed for wide field of view and with clearly separated optical surfaces, this new analytic design method has potential application in both fields of nonimaging and imaging optics.

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Section: Steps Towards a Tailored Free-form Solutionmentioning

confidence: 99%

Analytic free-form lens design for tracking integration in concentrating photovoltaics

et al. 2012

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“…Convergence points were first introduced in the design of aspheric V-groove reflectors [19,20]. The evaluation of the solution space we presented in [21], revealed the wide range of possible lens surface shapes that can be calculated with this design method. Later, we generalized the analytic optics design method to three dimensions [5].…”

Section: Derivation Of the Tailored Free-form Solutionmentioning

confidence: 99%

Tailored free-form optics with movement to integrate tracking in concentrating photovoltaics

2013

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The economic use of high-efficiency solar cells in photovoltaics requires high concentration of sunlight and therefore precise dual-axis tracking of the sun. Due to their size and bulkiness, these trackers are less adequate for small- to mid-scale installations like flat rooftops. Our approach to combine concentrating and tracking of sunlight utilizes two laterally moving lens arrays. The presented analytic optics design method allows direct calculation of the free-form lens surfaces while incorporating the lateral movement. The obtained concentration performance exceeds a factor of 500. This demonstrates that one can benefit from high-efficiency solar cells and more compact and flexible single-axis trackers at the same time.

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“…However, the OPLs for different ray bundles cannot be calculated and need to be found by optimization, see for example Ref. 25.…”

Section: Initial Degrees Of Freedom and Prerequisites Formentioning

confidence: 99%

Direct design approach to calculate a two-surface lens with an entrance pupil for application in wide field-of-view imaging

2015

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Abstract. In this work, a multifields optical design method aiming to calculate two high-order aspheric lens profiles with an embedded entrance pupil is proposed. This direct design algorithm is capable of partially coupling more than three ray bundles that enter the same pupil with only two surfaces. Both infinite and finite conjugate objectives can be designed with this approach. Additional constraints such as surface continuity and smoothness are taken into account to calculate smooth and accurate surface contours described by point clouds. The calculated points are then fitted with rotationally symmetric functions commonly used in optical design tools. A presented subaperture sampling strategy that introduces a weighting function for different fields allows for a very well-balanced imaging performance over a wide field of view (FOV). As an example, a AE45 deg f ∕7.5 wideangle objective is designed and analyzed to demonstrate the potential of this design method. It provides an excellent starting point for further optimization of the surfaces' coefficients and initial design parameters, resulting in a very good and well-balanced imaging performance over the entire FOV. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Perfect imaging of three object points with only two analytic lens surfaces in two dimensions

Cited by 6 publications

References 14 publications

Analytic free-form lens design for tracking integration in concentrating photovoltaics

Analytic free-form lens design for tracking integration in concentrating photovoltaics

Tailored free-form optics with movement to integrate tracking in concentrating photovoltaics

Direct design approach to calculate a two-surface lens with an entrance pupil for application in wide field-of-view imaging

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