Singlet lenses free of all orders of spherical aberration

Valencia-Estrada, Juan Camilo; Flores-Hernandez, Ricardo; Malacara-Hernández, Daniel

doi:10.1098/rspa.2014.0608

Cited by 23 publications

(12 citation statements)

References 37 publications

(54 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Equations(5)(6)(7)(8) are valid for any real object and real image.Coefficients A 2j were calculated following the procedure in reference[13] and its Eqs. (5.7-5.12b):…”

mentioning

confidence: 99%

On-axis diffraction-limited design of bi-parabolic singlet lenses

Valencia-Estrada

García-Márquez

2019

Optik

Self Cite

View full text Add to dashboard Cite

A lens limited by diffraction and having two parabolic surfaces is presented. The knowledge of the following parameters: object distance, relative refractive index, lens thickness, and image distance, enables to analytically calculate the parabolic front and back surfaces. The conditions to obtain diffraction-limited images for these lenses and its maximal diameter are described. These bi-parabolic lenses can be easily manufactured at reduced costs and can be used for several commercial and industrial applications. The method to obtain such surfaces and a simple example validated by using Oslo® are described here.

show abstract

“…Equations(5)(6)(7)(8) are valid for any real object and real image.Coefficients A 2j were calculated following the procedure in reference[13] and its Eqs. (5.7-5.12b):…”

mentioning

confidence: 99%

On-axis diffraction-limited design of bi-parabolic singlet lenses

Valencia-Estrada

García-Márquez

2019

Optik

Self Cite

View full text Add to dashboard Cite

show abstract

“…The example shows that when applying Eqs. (1)(2)(3)(4)(5)(6) the resulting corrective surface works correctly as it is clearly depicted in Fig. 2(a).…”

mentioning

confidence: 70%

“…They ignore field aberrations that can grow considerably as it is the case of coma and astigmatism. On the difficulty of maintaining spherical aberration below the diffraction limit in a rotationally symmetric lens, we refer to [4][5][6].…”

mentioning

confidence: 99%

See 1 more Smart Citation

General formula to design a freeform singlet free of spherical aberration and astigmatism: comment

Valencia-Estrada

García-Márquez

2020

Appl. Opt.

Self Cite

View full text Add to dashboard Cite

In their article [Appl. Opt. 58, 1010-1015] González-Acuña et al claimed: "an analytical closed-form formula for the design of freeform lenses free of spherical aberration and astigmatism." However, as we show here, their formula can only be applied when the object and image are both real and the image is inversed, additionally, the refractive index in the object and image media is the same. Here, we present the complete solution of this particular formula.The formula presented by González-Acuña et al.[1] is used to calculate the second surface of a lens, capable to correct the image from spherical aberrations due to the first lens' surface. We have found that this general formula only works when the object distance f a <0 and the image distance f b >0 are both real. Nevertheless, their solution fails when one of the combined planes is virtual, i.e., when f a >0 or f b <0 as the required sign rules are not included in the normal ˆa n formula (Eq. 2). This formula is required to obtain 2 v and its correct direction for any virtual-object's point. A different case appears when the image point is virtual. Virtual images are common in car's front lights and lightings. In some thick lenses with positive magnification the rays can cross internally and Eq. (7) does not include the required signs rules. They have shown examples consisting exclusively of real objects and real images. The authors declare that: "the normal is perpendicular to the tangent plane of the input surface at the origin." and that: "We recall that a necessary condition for the validity of Eq. (7) is that the surface normal should be perpendicular to the tangent plane to the input surface at the origin." This is the definition of the normal and not one condition. However, the condition is that the normal at the origin must be on the optical axis (0,0) [0,0, 1] a    n , which restricts its use to a family of freeform surfaces. This is contradictory with the phrase on the arbitrarily of the surface freeform: "These equations may look cumbersome, but it is quite remarkable that they could be expressed in closed form for an arbitrary freeform input surface."The fact that "the validity of Eq. (7) also requires that the rays do not intersect each other inside the lens because, in this case, Ψ b overlaps itself, leaving from being homeomorphic with respect to Ψ a , and the vicinity of the neighborhoods is not preserved" shows that the solution is not complete and that it can only be used to design partially freeform lenses. As a matter of fact, as the sign's rule has not been taken into account, Eq. (7) only applies when the rays do not cross in the interior of the lens. Nevertheless, there are two different families of solution, one having a negative magnification and the second with positive magnification.

show abstract

“…When the aperture of imaging lens increases, spherical aberration becomes one of the main factors that restricts the resolution of the system. Spherical aberration can be eliminated by using combinations of special lenses such as ovoid singlet [1,2], liquid [3,4], and cylindrical lenses [5]. Aspheric lenses can be introduced to eliminate spherical aberration, but other aberrations appear alongside spherical aberration elimination to cause imaging distortion.…”

Section: Introductionmentioning

confidence: 99%

Spherical Aberration-Corrected Metalens for Polarization Multiplexed Imaging

Zhou

Zhuang

et al. 2021

Nanomaterials

View full text Add to dashboard Cite

We present a terahertz spherical aberration-corrected metalens that uses the dynamic phase to achieve polarization multiplexed imaging. The designed metalens has polarization–dependent imaging efficiencies and polarization extinction ratios that exceed 50% and 10:1, respectively. Furthermore, opposite gradient phases can be applied to orthogonal polarizations to shift the imaging of the two polarized sources in the longitudinal and transverse directions. Indeed, we find that the metalens has a smaller depth-of-focus than a traditional metalens when imaging point sources with limited objective lengths. These results provide a new approach for achieving multifunctional beam steering, tomographic imaging and chiroptical detection.

show abstract

Singlet lenses free of all orders of spherical aberration

Cited by 23 publications

References 37 publications

On-axis diffraction-limited design of bi-parabolic singlet lenses

On-axis diffraction-limited design of bi-parabolic singlet lenses

General formula to design a freeform singlet free of spherical aberration and astigmatism: comment

Spherical Aberration-Corrected Metalens for Polarization Multiplexed Imaging

Contact Info

Product

Resources

About