Method for the design of nonaxially symmetric optical systems using free-form surfaces

Reshidko, Dmitry; Sasián, José M.

doi:10.1117/1.oe.57.10.101704

Cited by 36 publications

(7 citation statements)

References 10 publications

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“…In addition, the relatively small angles within the monolith due to the high refractive index lead to a better aberration control in general. This spot diagram-based performance is in excellent agreement with spot diagram data from classical ray tracing and seems to exceed the reported performances of the reference systems 57 , 59 . However, as the authors did not reveal all relevant information such as the nominal focal length, the acceptable distortion (here, less than 5%) or the target volume of their systems, a truly quantitative comparison was not possible.…”

Section: Resultssupporting

confidence: 74%

“…It was originally designed by the company Jenoptik AG Jena and discussed by Kiontke 55,56 . An all-freeform redesign of the monolithic objective has been proposed and discussed by Reshidko 57 . We follow these references as closely as possible with the following system requirements: An F/1.4 design covering a 37×25-degree field-of-view, an 8.4 mm entrance aperture, made of optical-grade germanium and operating in the long-wave infrared region (LWIR) from 8-12 um.…”

Section: Catoptric and Catadioptric Freeform Design: Examples And Dis...mentioning

confidence: 99%

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Freeform imaging systems: Fermat’s principle unlocks “first time right” design

Duerr

Thienpont

2021

Light Sci Appl

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For more than 150 years, scientists have advanced aberration theory to describe, analyze and eliminate imperfections that disturb the imaging quality of optical components and systems. Simultaneously, they have developed optical design methods for and manufacturing techniques of imaging systems with ever-increasing complexity and performance up to the point where they are now including optical elements that are unrestricted in their surface shape. These so-called optical freeform elements offer degrees of freedom that can greatly extend the functionalities and further boost the specifications of state-of-the-art imaging systems. However, the drastically increased number of surface coefficients of these freeform surfaces poses severe challenges for the optical design process, such that the deployment of freeform optics remained limited until today. In this paper, we present a deterministic direct optical design method for freeform imaging systems based on differential equations derived from Fermat’s principle and solved using power series. The method allows calculating the optical surface coefficients that ensure minimal image blurring for each individual order of aberrations. We demonstrate the systematic, deterministic, scalable, and holistic character of our method with catoptric and catadioptric design examples. As such we introduce a disruptive methodology to design optical imaging systems from scratch, we largely reduce the “trial-and-error” approach in present-day optical design, and we pave the way to a fast-track uptake of freeform elements to create the next-generation high-end optics. We include a user application that allows users to experience this unique design method hands-on.

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Section: Resultssupporting

confidence: 74%

Section: Catoptric and Catadioptric Freeform Design: Examples And Dis...mentioning

confidence: 99%

Freeform imaging systems: Fermat’s principle unlocks “first time right” design

Duerr

Thienpont

2021

Light Sci Appl

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“…In this approach of design, OAR and tilts are considered to define the optical surfaces. Further, aspheric and freeform surfaces were included in this approach of confocal mirror designs [97,98].…”

Section: Aberration Theory Basedmentioning

confidence: 99%

Advances in the design and manufacturing of novel freeform optics

Kumar

Tong

Jiang

2022

Int. J. Extrem. Manuf.

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Freeform optics has become the most prominent element of the optics industry. Advanced freeform optical designs supplementary to ultra-precision manufacturing and metrology techniques have upgraded the lifestyle, thinking, and observing power of existing humans. Imaginations related to space explorations, portability, accessibility have also witnessed sensible in today’s time with freeform optics. Present-day design methods and fabrications techniques applicable in the development of freeform optics and the market requirements are focussed and explained with the help of traditional and non-traditional optical applications. Over the years, significant research is performed in the emerging field of freeform optics, but no standards are established yet in terms of tolerances and definitions. We critically review the optical design methods for freeform optics considering the image forming and non-image forming applications. Numerous subtractive manufacturing technologies including figure correction methods and metrology have been developed to fabricate extreme modern freeform optics to satisfy the demands of various applications such as space, astronomy, earth science, defence, biomedical, material processing, surveillance, and many more. We described a variety of advanced technologies in manufacturing and metrology for novel freeform optics. Next, we also covered the manufacturing-oriented design scheme for advanced optics. We conclude this review with an outlook on the future of freeform optics design, manufacturing and metrology.

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“…Besides, the asset loses its axial symmetry which may increase instrument systematics. The use of free-form lenses, e.g., [6] and [7], particularly, to compensate optical aberrations pertaining to the tilted elements, requires a holistic design approach and significantly complicates instrument implementation and characterization. This draws special attention to developing frequency, angle, and polarization insensitive means of minimizing optical reflections from the lens surfaces and respective manufacturing technologies.…”

Section: Introductionmentioning

confidence: 99%

Broadband coated lens solutions for FIR-mm-wave instruments

Shitvov

Savini²,

Hargrave³

et al. 2022

Millimeter, Submillimeter, and Far-Infrared Detectors and Instrumentation for Astronomy XI

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This paper presents recent results of ongoing European Space Agency funded program of work aimed at developing large dielectric lenses suitable for future satellite missions, with a particular focus on requirements for CMB polarimetry. Two lens solutions are being investigated: (i) polymer lenses with broadband multi-layer antireflection coatings; (ii) silicon lenses with surface-structured anti-reflection coating represented by directly machined pyramidal features. For each solution, base materials with and without coatings have been optically characterized over a range of temperatures down to ~10 K. Full lens solutions are under manufacture and will be tested in a bespoke large cryo-optical facility.

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Method for the design of nonaxially symmetric optical systems using free-form surfaces

Abstract: A systematic method for the design of nonaxially symmetric optical systems is described. Free-form optical surfaces are constructed by superposition of a conic segment and a polynomial, and successfully applied to design relatively fast wide field-of-view optical systems.

Cited by 36 publications

References 10 publications

Freeform imaging systems: Fermat’s principle unlocks “first time right” design

Freeform imaging systems: Fermat’s principle unlocks “first time right” design

Advances in the design and manufacturing of novel freeform optics

Broadband coated lens solutions for FIR-mm-wave instruments

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