Differential method for freeform optics applied to two-mirror off-axis telescope design

Volatier, Jean-Baptiste; Druart, Guillaume

doi:10.1364/ol.44.001174

Cited by 34 publications

(16 citation statements)

References 14 publications

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“…This was mitigated by unconstraining aplanetism on three distinct pupil, field and image plane axis combinations [9]. This observation was made earlier in literature in a different formalism and the authors have introduced the concept of semi-aplanetic to describe such systems [11].…”

Section: ( )mentioning

confidence: 93%

“…We showed previously [9] that the derivation of a system of equations and its subsequent resolution using numerical methods can be used to compute the partial derivatives of freeform surfaces and of functions representative of the ray propagation. This work is currently limited to two-mirror freeform systems and draws inspiration from the design of an aplanetic microscope objective by Wassermann and Wolf [10].…”

Section: Previous Workmentioning

confidence: 99%

“…While integrating, the degrees of freedom of the nonlinear system are reduced since we have to maintain consistency with previously found rays [9]. The system becomes over constrained, rendering full exact aplanetism impossible.…”

Section: ( )mentioning

confidence: 99%

“…Similarly, our research interest also lies in exploring new methods to design freeform starting points and their impact on the final outcome of the design process. In an earlier work [9] we demonstrated a new differential integration method which can be used to design axially stigmatic and aplanatic two-mirror freeform designs from a very limited set of parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Starting point for optimization, plotted on the same scale. The system considered in earlier work[9] was an α configuration but with convergent-convergent mirrors. In this article the F-number is larger (1.5) so the α configuration becomes divergentconvergent.…”

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confidence: 99%

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An exploration of the freeform two-mirror off-axis solution space

2019

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We use a differential construction procedure to construct three starting solutions for a thermal infrared telescope design problem. We further refine these solutions with a simple optimization procedure. We show that this hybrid method is interesting by its flexibility that makes it suitable to find solutions to problems with tight volume constraints and its ease of use with little designer interaction required. Taking advantage of a fully automated process, we are able to investigate for each solution and its starting geometry, the impact of the Zernike order on the final performance obtained. Finally we show the systems proposed are sufficient for thermal infrared applications and while not as performant as the three mirror system used for comparison, their simplicity makes them an interesting alternative.

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confidence: 93%

Section: Previous Workmentioning

confidence: 99%

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confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An exploration of the freeform two-mirror off-axis solution space

2019

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Towards Automatic Design of Reflective Optical Systems

Liu

Zhu

2023

Advanced Photonics Research

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Traditional optical design processes can only obtain a few design solutions after a time‐consuming trial‐and‐error process. During this process, how to select the numbers and sequence of surfaces of different types (spherical, aspherical, and freeform) required by the system remains a difficult problem. Currently, no automatic design method is available for reflective optical systems that contain multiple surface types. Therefore, an automatic design framework for reflective systems is proposed that can output a series of design results with various combinations of surface types automatically after input specifications and constraints. In the first design example, 76 design results with imaging qualities near the diffraction limit are obtained that have 11 different surface type combinations. This framework realizes the automatic design of this type of system, paving the way toward general automatic optical design and significantly improving the efficiency of the optical design process. Using this framework, the numbers and sequence of the surfaces of different types required by the optical system can be determined reasonably, solving a difficult problem that has long puzzled designers. The proposed framework reduces the requirement for design experience and allows more people to participate in optical design processes.

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