Designing Aplanatic Thick Lenses: SPIE Newsroom
Designing Aplanatic Thick Lenses: SPIE Newsroom
Designing Aplanatic Thick Lenses: SPIE Newsroom
10.1117/2.1200607.0041
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SPIE Newsroom
After we substitute the (x2 , y2 ), coordinates of the incident ray
on the second surface into Equation 1, it is possible to obtain
an equation that depends on the conic constant. By solving
the equation for the sag of the first surface, we can determine
its conic constant and obtain a lens that is free from spherical
aberration. (Additionally, this methodology could be employed
to correct the height of incidence of the marginal ray.)
Next we can eliminate the coma aberration. According to
Kingslake,3 a spherically corrected lens is free from coma
near the center of the field if the marginal M and paraxial
magnifications m are equal. For a very distant object, the sine
condition takes a different form. In the equation below, f p is
the distance from the second principal plane to the focal point
measurement along any paraxial ray, and fm is the focal length
for any marginal ray. In order to obtain a thick lens free from
coma aberration, the Abbe sine condition should be satisfied
while the lens is free from spherical aberration. This means that:
f p = Fm
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Author Information
Jorge Castro-Ramos
National Institute of Astrophysics, Optics, and Electronics
Tonantzintla, Puebla, Mexico
Jorge Castro-Ramos works at the National Institute of
Astrophysics, Optics, and Electronics in the instrumentation
group. He concentrates on optical design and test. In addition,
he is a member of SPIE and has presented twelve papers at SPIE
meetings held during the last two years.
Sergio Vazquez-Montiel
National Institute of Astrophysics, Optics, and Electronics
Tonantzintla, Puebla, Mexico
References
1. F. A. Jenkins and H. E. White, Fundamentals of Optics, McGraw-Hill Inc., New
York, USA, 4th ed., 1981.
2. A. E. Conrady, Applied Optics and Optical Design, Part I and II, Dover, New
York, 1960.
3. R. Kingslake, Lens Design Fundamentals,Academic Press Inc., New York, USA,
1978.
4. W. T. Welford, Aberrations of Optical Systems, Adam Hilger, Bristol, Great
Britain, 1991.