Description of aspheric surfaces

Schuhmann, Rainer

doi:10.1515/aot-2019-0011

Cited by 7 publications

(4 citation statements)

References 9 publications

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“…A rotationally invariant optical surface can be described one-dimensionally by the surface sagitta value in the z direction as a function of the surface height ( ) by a combination of two terms 19 : …”

Section: Methodsmentioning

confidence: 99%

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Analysis and comparison of monofocal, extended depth of focus and trifocal intraocular lens profiles

Miret

Camps

García

et al. 2022

Sci Rep

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To test the feasibility of using profilometers to extract information about IOL surfaces design. A standard monofocal IOL (Tecnis 1), a monofocal IOL that provided some depth of focus (Eyhance), an extended depth of focus IOL based on refractive optics (Mini Well) and a trifocal IOL based on diffractive optics were used in this study (Tecnis Synergy). The surface topography of the IOLs was measured by using a multimode optical profilometer. Posterior surface of Tecnis 1 IOL was spherical and the anterior surface aspherical. In the Eyhance IOL, posterior surface was spherical and anterior surface did not fit to any of our reference surfaces, indicating a higher order aspheric surface design. In the Mini Well Ready IOL, a best-fit sphere surface was obtained for the second surface and a high order aspherical surface design was deduced for the first surface. The anterior surface of the Synergy IOL was aspherical and the base curve of the diffractive structure fitted very well to a spherical surface. To consider an aspheric surface as possible best-fit surface provided more information than if only best-fit spherical surface was considered. The high order aspheric surface designs employed in the IOLs studied presented differences, regarding best-fit asphere surface, higher than 1 micron. These differences were correlated with the generation of spherical aberration complex profiles (with Zernike terms higher than 4th order) and with the production of distinct amounts of depth of focus. This method was also useful to deduce the base curve of diffractive surfaces.

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Section: Methodsmentioning

confidence: 99%

“…The basis term is followed by a series expansion as a function of the surface height f(h). Aspheric surface of higher order was defined when this function is necessary to be added to the basic conic surface 19 .…”

Section: Methodsmentioning

confidence: 99%

Analysis and comparison of monofocal, extended depth of focus and trifocal intraocular lens profiles

Miret

Camps

García

et al. 2022

Sci Rep

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“…The importance of a spherical reference beam lies within the sagitta S [12]. This concept, illustrated in Figure 1, is used to determine the inherent reference angle α.…”

Section: Sagittamentioning

confidence: 99%

Inline holography of miniaturized objects with an intrinsic reference angle determined by the sagitta

et al. 2022

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“…In general, aspheric surfaces are represented mathematically by power series expressions using aspheric coefficients [29][30][31][32], and these same coefficients are necessary to formulate its optical aberrations. Consequently, each aspherical coefficient imposes the need to search for an associated order of aberration coefficient [9,30,33].…”

Section: Introductionmentioning

confidence: 99%

Primary aberrations theory in optical systems composed of Cartesian refracting surfaces

Silva-Lora,

Torres

2023

Proc. R. Soc. A.

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Among the main defects present in optical systems are geometric aberrations, which are well characterized for spherical and aspherical surfaces. Special cases of aspherical surfaces are the Cartesian surfaces since they exhibit rigorous stigmatism and also, for a subfamily of these surfaces, aplanatism. However, for objects outside the stigmatic points, these surfaces also present geometric aberrations, so to evaluate their performance, it is necessary to characterize them. Therefore, in this work, the geometrical aberrations presented in Cartesian surfaces are studied, where the formulation of the coefficients for primary aberrations includes the corresponding expressions for the conic sections of revolution refractive surfaces as particular cases, and likewise the spherical refractive surface.

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Description of aspheric surfaces

Cited by 7 publications

References 9 publications

Analysis and comparison of monofocal, extended depth of focus and trifocal intraocular lens profiles

Analysis and comparison of monofocal, extended depth of focus and trifocal intraocular lens profiles

Inline holography of miniaturized objects with an intrinsic reference angle determined by the sagitta

Primary aberrations theory in optical systems composed of Cartesian refracting surfaces

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