Hyperbolic Lenses: Abberation-Free?

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SUMMARY

Hyperbolic lenses are not free of aberrations; they exhibit chromatic aberrations while virtually eliminating spherical aberrations. The discussion identifies five third-order geometric aberrations: Spherical, Coma, Astigmatism, Distortion, and Curvature of Field. Parabolic lenses can eliminate spherical aberration but do not address the other types. Achromatic lenses, or achromats, significantly reduce chromatic aberration within specific wavelength ranges, but no lens can be entirely aberration-free across all object distances.

PREREQUISITES
  • Understanding of optical aberrations, specifically chromatic and spherical aberrations
  • Familiarity with lens types, including hyperbolic, parabolic, and achromatic lenses
  • Knowledge of diffraction-limited optics
  • Basic principles of geometric optics and lens design
NEXT STEPS
  • Research the design principles of achromatic lenses and their applications
  • Explore the concept of diffraction-limited optics and its significance in lens performance
  • Study the effects of different lens shapes on various types of optical aberrations
  • Investigate advanced lens designs that minimize multiple aberrations simultaneously
USEFUL FOR

Optical engineers, lens designers, photographers, and anyone interested in advanced optics and lens performance optimization.

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Are hyperbolic lenses free of abberation?
 
Last edited:
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They still have chromatic abberations, but the spherical abberations are virtually non existant.
 
Theoretically speaking, what shape of a convergent lens (that focuses rays onto a single point) is free of abberation?

Does such shape/surface exist?
 
There are five 3rd order geometric aberrations; Spherical, Coma, Astigmatism, Distortion and Curvature of Field. A parabolic lens will eliminate spherical aberration, but not the others.

You can get lenses whose aberrations are less than the diffraction limited spot, in other words the lenses are so good that imperfections are washed out by diffraction. Such lenses are only optimised to a particular object distance and focal length, so you can't get lenses that are aberration free for an arbitrary object distance.

Chromatic aberrations are still present in the lens, you can get lenses called achromats (or achromatic lenses) that are virtually chromatic aberration free within a particular wavelength range.

To summarise, you can get diffraction-limited lenses, but only for a particular object distance and a particular wavelength range.

Claude.
 

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