# Theory of aberration fields for general optical systems with freeform surfaces.

@article{Fuerschbach2014TheoryOA, title={Theory of aberration fields for general optical systems with freeform surfaces.}, author={Kyle H. Fuerschbach and Jannick P. Rolland and Kevin P. Thompson}, journal={Optics express}, year={2014}, volume={22 22}, pages={ 26585-606 } }

This paper utilizes the framework of nodal aberration theory to describe the aberration field behavior that emerges in optical systems with freeform optical surfaces, particularly φ-polynomial surfaces, including Zernike polynomial surfaces, that lie anywhere in the optical system. If the freeform surface is located at the stop or pupil, the net aberration contribution of the freeform surface is field constant. As the freeform optical surface is displaced longitudinally away from the stop or…

## 130 Citations

### Aberration analysis for freeform surface terms overlay on general decentered and tilted optical surfaces.

- PhysicsOptics express
- 2018

The research result given in this paper offers an important reference for optical designers and engineers, and it is of great importance in developing analytical methods for general freeform system design, tolerance analysis, and system assembly.

### Decomposition of the total wave aberration in generalized optical systems.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2017

The proposed method does not place any constraints on the system geometry or the aperture shape and specifies the resulting wavefront error maps using an expansion into Zernike polynomials on near-circular apertures.

### Coma full-field display for freeform imaging systems

- PhysicsSPIE Optifab
- 2015

With the recent advances in optical fabrication technology, the manufacturing of freeform optical surfaces is no longer prohibitive. To spur the development of freeform systems, however, optical…

### Analysis of freeform mirror systems based on the decomposition of the total wave aberration into Zernike surface contributions.

- PhysicsApplied optics
- 2018

By analyzing surface contributions to the total wave aberration characterized by Zernike fringe coefficients, it is possible to find solutions corrected for aberrations of orders higher than the order of coefficients used for freeform sag contribution described with the same Zernikes polynomial set.

### Design of space-borne imager with wide field of view based on freeform aberration theory

- PhysicsInternational Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT)
- 2016

Freeform surfaces have advantages on balancing asymmetric aberration of the unobscured push-broom imager. However, since the conventional paraxial aberration theory is no longer appropriate for the…

### Computation of astigmatic and trefoil figure errors and misalignments for two-mirror telescopes using nodal-aberration theory.

- PhysicsApplied optics
- 2016

This paper quantitatively describes the impact of mount-induced trefoil deformation on the net aberration fields of two-mirror telescopes and proposes a modified theoretical formulation for the field-dependent aberration behavior of freeform surfaces based on the framework of nodal aberration theory.

### Ray-based optical design tool for freeform optics: coma full-field display.

- PhysicsOptics express
- 2016

This research utilizes nodal aberration theory to develop a ray-based method to generate a coma full-field display that circumvents wavefront fitting errors that can affect Zernike polynomial-based full- field displays for highly aberrated freeform starting designs.

### Design of a compact freeform optical system via the surface contribution analysis method

- PhysicsApplied Optics and Photonics China
- 2020

The surface contribution analysis method is to find the wave front map at the local intermediate entrance and exit pupil reference spheres for each optical surface by fitting the wavefront errors with Fringe Zernike polynomials to help optical designers find the origins of the main aberrations at the final focal plane.

### Analysis of nodal aberration properties in off-axis freeform system design.

- PhysicsApplied optics
- 2016

Based on the framework of nodal aberration theory (NAT) applied to the coaxial system, the third-order astigmatism and coma wave aberration expressions of an off-axis system with Zernike polynomial surfaces are derived and the relationship between the off- axis and surface shape acting on the nodal distributions is revealed.

### Zernike surface contributions as an assisting tool for designing freeform optical systems

- PhysicsOptical Systems Design
- 2018

A new numerical method is used to study surface-by-surface contributions to the total wave aberration of freeform optical systems and incorporates the field dependency into the wave aberrations and the error of the chief ray is studied separately.

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