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Aberrations of
Lenses
Optics 2005
J.Beatty
Introduction
 In practice refracting surfaces or
systems fall short of theoretical
perfection due to aberrations.
 The eye converges waves onto
retina. The deviation of the
converging wavefronts from
perfect spheres are called
aberations.
 We will discuss and describe these
aberrations in optical systems, and
in the eye, and see how they may
be eliminated or reduced.
Classification
 Chromatic
 Monochromatic
 For a SPECIFIC wavelength of visible
light:
 Spherical refractive error(defocus)
 Cylindrical (astigmatism)
 Diffraction
 Spherical aberration
 Oblique astigmatism
 Coma
 Distortion
 Curvature of field
 Higher order
Chromatic Aberration
 White light is dispersed into its
component wavelengths or colours
at an optical surface.
 Shorter wavelengths (blue) are
deviated more.
 Dependent on the optical
properties of the material, not the
the optical shape.
 Corrected in optical systems by:
 Achromatic lenses: composed of
elements of varying material which
neutralizes this dispersion,
because the dispersive power is
independent of the refractive
index.
 In the eye:
 Chromatic aberration = total dispersion
from red to blue of 2.00D.
 Emmetropic eye focuses for yellow-green
(555nm).
 Duochrome test: myopic eye sees red
clearly, hypermetropic eye sees green
clearly. Very NB clinically as myopes
experience eye strain if they are
overcorrected. ie. Rather leave them
slightly myopic than hypermetropic.
 NB: unable to be corrected by refractive
surgery (not about shape)
Diffraction of Light
Interference of light waves with each
other at the edge of a wave front.
 The result = edges of an image are
never sharp.
 This limits the amount of magnification
that can be attained without losing
sharpness.
 Clinically: small pupil leads to increased
diffraction.
Spherical Aberration
 Caused by the prismatic effect of the
lens => rays passing through the
periphery are deviated more.
 P = F x D P=prismatic power(D), F =
lens power (D), D : decentration (cm).
 Marginal focus: point where the
peripheral rays converge.
 Paraxial focus: point where the the
central rays focus.
 Circle of least confusion: ¼ the distance
b/w the marginal and paraxial focuses.
 Corrected in optical systems by:
 Occlusion of periphery using stops.
 Adjustment of lens form
(aplanatic/aspheric).
 Use of doublets (principle lens + a
weaker opposite power lens of
different refractive index).
 Corrected in the eye by:
 Anterior corneal surface is flatter
peripherally.
 Iris acts as a stop (optimum pupil 2-
2.5mm).
 Lens nucleus has higher refractive index
than cortex.
 Cones are more sensitive to paraxial than
to oblique light (Stiles-Crawford effect =
light striking the photoreceptor obliquely
is less effective and appears like a
shorter wavelength).
Astigmatism of Oblique
Incidence
 Obliquely incident light rays passing
through the lens (or looking through the
edge of the lens) => toric effect with
interval of Sturm, Sturm’s conoid, and
circle of least confusion.
 Worse with higher power lenses.
 Less with meniscus lenses.
 NB size of pupil makes no difference.
 Corrected in the eye by:
 Aplanatic curve of the cornea.
 Retina is curved and not flat,
therefore the circle of least
confusion falls on the retina.
 Astigmatic image falls on the
peripheral retina, therefore its
appreciation is limited.
 When prescribing glasses, NB
pantoscopic tilt!
Coma
 Spherical aberration of light from points
not on the principle axis.
 Rays passing through the periphery are
deviated more and have unequal
magnification => coma shaped image.
 Avoid by limiting rays to the axial area.
 Different from spherical aberration, in
that the focus is laterally displaced, as
apposed to spherical which is
longitudinally displaced.
 Ocular coma is unimportant in the eye
(pupil).
Image Distortion
 Prismatic effects of lens periphery
=> uneven magnification.
 Concave lens => barrel distortion.
 Convex lens => pin-cushion
distortion.
 Clinically a problem for pts. with
high power specs. ie. aphakics.
 Pts. can adapt to small amounts of
distortion.
Curvature of Field
 Also know as Petzval surface.
 Due to curvature of lens surface
and refractive index of lens.
 Plane object => curved image.
 Cannot be totally corrected under
practical conditions.
 Compensated for in the eye by
curvature of the retina and
accommodation.
Higher Order
Aberrations
WAVEFRONT TECHNOLOGY
allows us to quantify aberrations.
 With this new technology we can
identify and quantify third, fourth
and fifth order aberrations.
 Pattern of aberrations are
reproducable.
Spherical aberration
(Sombrero)
Coma
Higher order aberrations
Post Lasik!
(Sombrero hat)
(Flipped over sombrero)
 PRK and Lasik increase high order
aberrations.
 The ↑ in aberrations is directly
related to ↓ quality of vision,
especially under scotopic
conditions, low-contrast and glare.
 Higher order aberrations cannot be
corrected with spherocylinder or
std. refractive surgery.

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Aberrations of Lenses

  • 2. Introduction  In practice refracting surfaces or systems fall short of theoretical perfection due to aberrations.  The eye converges waves onto retina. The deviation of the converging wavefronts from perfect spheres are called aberations.
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  • 4.  We will discuss and describe these aberrations in optical systems, and in the eye, and see how they may be eliminated or reduced.
  • 5. Classification  Chromatic  Monochromatic  For a SPECIFIC wavelength of visible light:  Spherical refractive error(defocus)  Cylindrical (astigmatism)  Diffraction  Spherical aberration  Oblique astigmatism  Coma  Distortion  Curvature of field  Higher order
  • 6. Chromatic Aberration  White light is dispersed into its component wavelengths or colours at an optical surface.  Shorter wavelengths (blue) are deviated more.  Dependent on the optical properties of the material, not the the optical shape.
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  • 8.  Corrected in optical systems by:  Achromatic lenses: composed of elements of varying material which neutralizes this dispersion, because the dispersive power is independent of the refractive index.
  • 9.  In the eye:  Chromatic aberration = total dispersion from red to blue of 2.00D.  Emmetropic eye focuses for yellow-green (555nm).  Duochrome test: myopic eye sees red clearly, hypermetropic eye sees green clearly. Very NB clinically as myopes experience eye strain if they are overcorrected. ie. Rather leave them slightly myopic than hypermetropic.  NB: unable to be corrected by refractive surgery (not about shape)
  • 10. Diffraction of Light Interference of light waves with each other at the edge of a wave front.  The result = edges of an image are never sharp.  This limits the amount of magnification that can be attained without losing sharpness.  Clinically: small pupil leads to increased diffraction.
  • 11. Spherical Aberration  Caused by the prismatic effect of the lens => rays passing through the periphery are deviated more.  P = F x D P=prismatic power(D), F = lens power (D), D : decentration (cm).  Marginal focus: point where the peripheral rays converge.  Paraxial focus: point where the the central rays focus.  Circle of least confusion: ¼ the distance b/w the marginal and paraxial focuses.
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  • 13.  Corrected in optical systems by:  Occlusion of periphery using stops.  Adjustment of lens form (aplanatic/aspheric).  Use of doublets (principle lens + a weaker opposite power lens of different refractive index).
  • 14.  Corrected in the eye by:  Anterior corneal surface is flatter peripherally.  Iris acts as a stop (optimum pupil 2- 2.5mm).  Lens nucleus has higher refractive index than cortex.  Cones are more sensitive to paraxial than to oblique light (Stiles-Crawford effect = light striking the photoreceptor obliquely is less effective and appears like a shorter wavelength).
  • 15. Astigmatism of Oblique Incidence  Obliquely incident light rays passing through the lens (or looking through the edge of the lens) => toric effect with interval of Sturm, Sturm’s conoid, and circle of least confusion.  Worse with higher power lenses.  Less with meniscus lenses.  NB size of pupil makes no difference.
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  • 17.  Corrected in the eye by:  Aplanatic curve of the cornea.  Retina is curved and not flat, therefore the circle of least confusion falls on the retina.  Astigmatic image falls on the peripheral retina, therefore its appreciation is limited.  When prescribing glasses, NB pantoscopic tilt!
  • 18. Coma  Spherical aberration of light from points not on the principle axis.  Rays passing through the periphery are deviated more and have unequal magnification => coma shaped image.  Avoid by limiting rays to the axial area.  Different from spherical aberration, in that the focus is laterally displaced, as apposed to spherical which is longitudinally displaced.  Ocular coma is unimportant in the eye (pupil).
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  • 20. Image Distortion  Prismatic effects of lens periphery => uneven magnification.  Concave lens => barrel distortion.  Convex lens => pin-cushion distortion.  Clinically a problem for pts. with high power specs. ie. aphakics.  Pts. can adapt to small amounts of distortion.
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  • 22. Curvature of Field  Also know as Petzval surface.  Due to curvature of lens surface and refractive index of lens.  Plane object => curved image.  Cannot be totally corrected under practical conditions.  Compensated for in the eye by curvature of the retina and accommodation.
  • 23. Higher Order Aberrations WAVEFRONT TECHNOLOGY allows us to quantify aberrations.  With this new technology we can identify and quantify third, fourth and fifth order aberrations.  Pattern of aberrations are reproducable.
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  • 26. Coma
  • 29.  PRK and Lasik increase high order aberrations.  The ↑ in aberrations is directly related to ↓ quality of vision, especially under scotopic conditions, low-contrast and glare.  Higher order aberrations cannot be corrected with spherocylinder or std. refractive surgery.