A new family of optical systems employing φ-polynomial surfaces

Fuerschbach, Kyle; Rolland, Jannick P.; Thompson, Kevin P.

doi:10.1364/oe.19.021919

Cited by 161 publications

(60 citation statements)

References 8 publications

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“…As an example we consider an all-reflective unobscured TMA telescope, similar to that presented in [8,23]. We assume that all the mirrors have freeform surfaces.…”

Section: Optical Design Of a Tma Telescopementioning

confidence: 99%

Combining freeform optics and curved detectors for wide field imaging: a polynomial approach over squared aperture

Muslimov¹,

Hugot²,

Jahn³

et al. 2017

Opt. Express

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Abstract:. In the recent years a significant progress was achieved in the field of design and fabrication of optical systems based on freeform optical surfaces. They provide a possibility to build fast, wide-angle and high-resolution systems, which are very compact and free of obscuration. However, the field of freeform surfaces design techniques still remains underexplored. In the present paper we use the mathematical apparatus of orthogonal polynomials defined over a square aperture, which was developed before for the tasks of wavefront reconstruction, to describe shape of a mirror surface. Two cases, namely Legendre polynomials and generalization of the Zernike polynomials on a square, are considered. The potential advantages of these polynomials sets are demonstrated on example of a three-mirror unobscured telescope with F/#=2.5 and FoV=7.2x7.2°. In addition, we discuss possibility of use of curved detectors in such a design.

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“…As an example we consider an all-reflective unobscured TMA telescope, similar to that presented in [8,23]. We assume that all the mirrors have freeform surfaces.…”

Section: Optical Design Of a Tma Telescopementioning

confidence: 99%

Combining freeform optics and curved detectors for wide field imaging: a polynomial approach over squared aperture

Muslimov¹,

Hugot²,

Jahn³

et al. 2017

Opt. Express

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“…(50) Rather than the extended polynomials used in Eq. (11) for aberration compensation, other surface description functions proposed recently, including radial basis functions, (51) φ-polynomials, (52) and their hybrids, (53) could also be used in the governing equation to improve the lens performance. A detailed comparison between these surface-description methods would be helpful to researchers in choosing the right modelling method in future lens designs.…”

Section: Optimum Design Of Solid Tunable Lensmentioning

confidence: 99%

Miniature Solid Tunable Lenses and Their Applications: A Review

Yongchao¹,

Siong²,

Guangya³

2017

Sensors and Materials

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We present a systematic review of solid tunable lenses based on the Alvarez-Lohmann principle, which mainly focuses on the optimization, miniaturization, and integration of such solid tunable lenses in miniature applications. The progress of the modelling and design methods of such solid tunable lenses for optimum performance is summarized first. The development of various solid tunable lenses achieved using diverse driving mechanisms and different optimization methods is then illustrated by examples from current literature. The mechanisms, performance, and practicability of all these prototypes are presented in detail. The applications of such solid tunable lenses in miniature imaging systems are finally reviewed. Discussions of the problems and bottlenecks encountered in current research work and perspectives for future work in this field are given.

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“…The initial calculation of segments M 1 M 2 and N 1 N 2 guarantees the construction of new OPLs for off-axis chief rays. (2) Given that subsequent calculation of the two lens profiles will simultaneously proceed between two ray bundles, at least two new OPLs should be determined in advance to ensure the process. Therefore, two new off-axis chief rays are gradually picked by increasing the incident chief ray angle θ in addition to the chief ray of the previous field, shown in Figs.…”

Section: Initial Degrees Of Freedom and Prerequisites Formentioning

confidence: 99%

“…The advent of free-form optics is more than an evolution for optical engineers due to its unprecedented power in controlling the paths of light rays. 1 More specifically, it provides great potential for correcting optical aberrations in imaging systems, 2 such as distortion [3][4][5] or astigmatism. 6,7 Free-form optical systems are typically either designed by multiparametric optimization techniques 2,5,[7][8][9][10][11][12] or using a direct design method.…”

Section: Introductionmentioning

confidence: 99%

“…1 More specifically, it provides great potential for correcting optical aberrations in imaging systems, 2 such as distortion [3][4][5] or astigmatism. 6,7 Free-form optical systems are typically either designed by multiparametric optimization techniques 2,5,[7][8][9][10][11][12] or using a direct design method. 3,4,6,[13][14][15][16] Multiparametric optimization techniques are widely used to design optical systems.…”

Section: Introductionmentioning

confidence: 99%

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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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A new family of optical systems employing φ-polynomial surfaces

Cited by 161 publications

References 8 publications

Combining freeform optics and curved detectors for wide field imaging: a polynomial approach over squared aperture

Combining freeform optics and curved detectors for wide field imaging: a polynomial approach over squared aperture

Miniature Solid Tunable Lenses and Their Applications: A Review

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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