Design of a freeform electronic viewfinder coupled to aberration fields of freeform optics.

  title={Design of a freeform electronic viewfinder coupled to aberration fields of freeform optics.},
  author={Aaron Bauer and Jannick P. Rolland},
  journal={Optics express},
  volume={23 22},
The newly formulated theory of aberration fields of freeform surfaces describes the aberrations that freeform Zernike polynomial surfaces can correct within folded powered optical systems. This theory has guided the design of an OLED-based reflective freeform electronic viewfinder covering a 25° full field-of-view with a 12 mm eyebox, which is reported together with a detailed methodology that begins with developing an unobscured starting point and ends with an optimized freeform design… 

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

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.

All-reflective electronic viewfinder enabled by freeform optics.

This work documents the design, fabrication, and assembly of an all-reflective high-end electronic viewfinder that shows the applicability of freeform surfaces to eyepiece design forms.

Starting geometry creation and design method for freeform optics

The design of freeform optics is approached with aberration theory with general guidelines to design and optimize physically realizable systems and a comparison of the optimized geometries shows the performance of the optimal geometry is at least 16× better, which underscores the importance of the geometry when designingfreeform optics.

Coma full-field display for freeform imaging systems

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

Generalized Aldis theorem for calculating aberration contributions in freeform systems.

A matrix method based on the propagation of a differential ray pair is developed, which allows determining the aberration contribution of each individual surface for any ray, and proves to be a universal tool for aberration calculations within freeform system.

Aberrations of plane-symmetrical mirror systems with freeform surfaces. Part I: generalized ray-tracing equations.

  • J. CaronS. Bäumer
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2021
The aberrations of reflective optical systems with one plane of symmetry are investigated in the most general case, with freeform surfaces and possibly different locations of the tangential and

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

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.

Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism.

This work calculates the field dependence of low-order Zernike astigmatism up to the eighth order in nodal aberration theory (NAT), and shows how this estimated field dependence can be used to quantitatively analyze a freeform telescope design.

Efficient representation of freeform gradient-index profiles for non-rotationally symmetric optical design.

The proposed three-dimensional orthogonal polynomial basis set (the FGRIN basis) opens a new design space of 3D rotational variant GRIN profiles, which has the potential of replacing multiple freeform surfaces and simplifying complex systems.

Over-designed and under-performing: design and analysis of a freeform prism via careful use of orthogonal surface descriptions

In this paper, two freeform prism combiner designs with different geometries were studied. The first design, whose geometry is driven by the need for total-internal-refraction, achieves optical



A new family of optical systems employing φ-polynomial surfaces.

A new family of truly nonsymmetric optical systems that exploit a new fabrication degree of freedom enabled by the introduction of slow-servos to diamond machining are presented; surfaces whose departure from a sphere varies both radially and azimuthally in the aperture.

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

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

Assembly of a freeform off-axis optical system employing three φ-polynomial Zernike mirrors.

The assembly of an off-axis reflective imaging system employing freeform, φ-polynomial optical surfaces is reported on, maintaining diffraction-limited performance in the long-wave infrared.

3D surface mapping of freeform optics using wavelength scanning lateral shearing interferometry.

A new variant of lateral shearing interferometer with a tunable laser source that enables 3D surface profile measurements of freeform optics with high speed, high vertical resolution, large departure, and large field-of-view is described.

Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry.

  • K. Thompson
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2005
It is revealed that in fact there are no new aberrations in imaging optical systems with near-circular aperture stops but otherwise without symmetry, and that the field dependence of an aberration often changes when symmetry is abandoned.

Comparative assessment of freeform polynomials as optical surface descriptions.

Results in this paper establish the equivalence of both polynomial sets in accurately describing freeform surfaces under stringent conditions, which is a critical step in the future application of these tools in both advanced optical system design and optical fabrication.

Photographic optical systems with nonrotational aspheric surfaces.

In several examples, image-forming objectives are described in which suitably located asymmetric pairs of refractive surfaces are devised, such that relative rotation about a displaced axis of one with respect to the other can be used to produce a focusing effect that is satisfactory for imaging purposes over reasonable fields of view and for practicable apertures and achromatic corrections.

Portable waveguide display system with a large field of view by integrating freeform elements and volume holograms.

With integrated design, stability and reliability of this monochromatic display system were achieved and the alignment of the system was easily controlled by the record of the volume holograms, which makes mass production possible.

Wavefront aberration function in terms of R. V. Shack's vector product and Zernike polynomial vectors.

  • R. W. GrayJ. Rolland
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2015
This paper shows how Shack's vector product (SVP) can be used to express the wavefront aberration function and to define vectors in terms of the Zernike polynomials.

Interferometric measurement of a concave, φ-polynomial, Zernike mirror.

The surface figure measurement of a freeform, φ-polynomial (Zernike) mirror for use in an off-axis, reflective imaging system using an interferometric null configuration addressing spherical aberration, astigmatism, and coma is reported on.