Comparative assessment of freeform polynomials as optical surface descriptions

Kaya, Ilhan; Thompson, Kevin P.; Rolland, Jannick P.

doi:10.1364/oe.20.022683

Cited by 39 publications

(10 citation statements)

References 12 publications

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“…While manufacturability has often constrained optical elements to have rotational invariance, the emerging field of freeform optics leverages more complex curvatures to enable novel functionalities and simplified compound optical systems 1–4 . These elements have been shown to be capable of correcting aberrations 3 , off-axis imaging 4 , expanding field of view 5 , and increasing depth of field 6 .…”

Section: Introductionmentioning

confidence: 99%

Metasurface Freeform Nanophotonics

Zhan

Colburn

Dodson

et al. 2017

Sci Rep

104

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Freeform optics aims to expand the toolkit of optical elements by allowing for more complex phase geometries beyond rotational symmetry. Complex, asymmetric curvatures are employed to enhance the performance of optical components while minimizing their size. Unfortunately, these high curvatures and complex forms are often difficult to manufacture with current technologies, especially at the micron scale. Metasurfaces are planar sub-wavelength structures that can control the phase, amplitude, and polarization of incident light, and can thereby mimic complex geometric curvatures on a flat, wavelength-scale thick surface. We present a methodology for designing analogues of freeform optics using a silicon nitride based metasurface platform for operation at visible wavelengths. We demonstrate a cubic phase plate with a point spread function exhibiting enhanced depth of field over 300 micron along the optical axis with potential for performing metasurface-based white light imaging, and an Alvarez lens with a tunable focal length range of over 2.5 mm corresponding to a change in optical power of ~1600 diopters with 100 micron of total mechanical displacement. The adaptation of freeform optics to a sub-wavelength metasurface platform allows for further miniaturization of optical components and offers a scalable route toward implementing near-arbitrary geometric curvatures in nanophotonics.

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Section: Introductionmentioning

confidence: 99%

Metasurface Freeform Nanophotonics

Zhan

Colburn

Dodson

et al. 2017

Sci Rep

104

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“…When using only finite polynomial terms, the representation accuracy could be limited. Kaya et al 84 performed a comparative assessment between Zernike polynomials and Q-type polynomials for precisely characterizing a freeform surface. To fit an asymmetric local feature with sub-nanometer accuracy, the number of polynomial terms would reach thousands.…”

Section: Representation Methods For Freeform Surfaces With Strong Slomentioning

confidence: 99%

Review of optical freeform surface representation technique and its application

Chen

et al. 2017

Opt. Eng

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Abstract. Modern advanced manufacturing and testing technologies allow the application of freeform optical elements. Compared with traditional spherical surfaces, an optical freeform surface has more degrees of freedom in optical design and provides substantially improved imaging performance. In freeform optics, the representation technique of a freeform surface has been a fundamental and key research topic in recent years. Moreover, it has a close relationship with other aspects of the design, manufacturing, testing, and application of optical freeform surfaces. Improvements in freeform surface representation techniques will make a significant contribution to the further development of freeform optics. We present a detailed review of the different types of optical freeform surface representation techniques and their applications and discuss their properties and differences. Additionally, we analyze the future trends of optical freeform surface representation techniques.

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“…The difference between these cases contains data that can be used to generate an initial freeform surface, as shown in the work by Yang [8][9][10], but in this work we demonstrate another use case that compliments prior work by answering a more fundamental question of where to optimally place the freeform surface within the design. Once a surface has been selected, any number of methods [25] to generate that freeform surface may be used.…”

Section: Underlying Principlesmentioning

confidence: 99%

Freeform surface selection based on parametric fitness function using modal wavefront fitting

2019

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We present an analytic methodology to guide the selection of a surface within an optical design to apply freeform optimization. The methodology is discussed in the context of other means currently available, such as human intuition, aberration theory, and other direct surface construction methods. We describe the selection criteria for our proposed method and provide the form of the parametric fitness function used to combine the criterion. Finally, a case study comparing a design optimization procedure guided by the proposed methodology to human intuition is presented based on a real instrument designed for a millimeter-wave astronomy application. The methodology is shown to be effective even in the case of an optical system with a large number of freeform/optical surfaces. The proposed approach provides an objective and scalable solution to guide freeform optical system design by aiding a human's design intuition.

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Comparative assessment of freeform polynomials as optical surface descriptions

Cited by 39 publications

References 12 publications

Metasurface Freeform Nanophotonics

Metasurface Freeform Nanophotonics

Review of optical freeform surface representation technique and its application

Freeform surface selection based on parametric fitness function using modal wavefront fitting

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