Abstract

Lenses with radial gradients can exhibit zero Petzval curvature of field. This class of lens is examined in terms of its other third-order aberrations.

© 1980 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. J. Sands, J. Opt. Soc. Am. 61, 879 (1971).
    [Crossref]
  2. D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).
    [Crossref]
  3. D. T. Moore, D. P. Ryan, J. Opt. Soc. Am. 68, 1157 (1978).
    [Crossref]
  4. L. Gregorka, “Measurement of Chromatic Dispersion of Gradient Refractive Index Glass,” M.S. Thesis, U. Rochester (1978).
  5. ADIOS (Automatic Design Program for Inhomogeneous Optical System), Gradient Index Laboratory, Institute of Optics, U. Rochester, 1978.

1978 (1)

1971 (2)

Gregorka, L.

L. Gregorka, “Measurement of Chromatic Dispersion of Gradient Refractive Index Glass,” M.S. Thesis, U. Rochester (1978).

Moore, D. T.

Ryan, D. P.

Sands, P. J.

J. Opt. Soc. Am. (3)

Other (2)

L. Gregorka, “Measurement of Chromatic Dispersion of Gradient Refractive Index Glass,” M.S. Thesis, U. Rochester (1978).

ADIOS (Automatic Design Program for Inhomogeneous Optical System), Gradient Index Laboratory, Institute of Optics, U. Rochester, 1978.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Bending curve for homogeneous singlet. The five monochromatic aberrations are plotted as a function of first curvature. The lens has a focal length = 10.0, thickness = 1.80, and index of refraction = 1.50.

Figs. 2-10
Figs. 2-10

Bending curves for single-element zero-Petzval curvature of field lenses. The four monochromatic aberrations are plotted as a function of first curvature. The focal length is 10.0 cm, and the base index of refraction is 1.50. The thickness of the lenses is constant for the vertical column of figures (t = 1.3, 1.8, and 2.3 for columns 1, 2, and 3, respectively). The value of the r4 coefficient is constant for the horizontal row (N2 = 0.002, 0.004, and 0.006 for rows 1, 2, and 3, respectively).

Fig. 11
Fig. 11

Bending curves for single-element zero-Petzval curvature of field lens. The four monochromatic aberrations are plotted as a function of first curvature. The parameters are the same as middle row of Figs. 2–10, except that the thickness has been reduced to 0.5 cm.

Figs. 12,13, and 14
Figs. 12,13, and 14

Variation of base index of refraction. The four monochromatic aberrations are plotted as a function of first curvature. Figure 12 has index of 1.50; Fig. 13, 2.40; Fig. 14, 4.00

Fig. 15
Fig. 15

Bending curves illustrating possible solution for spherical aberration, coma, astigmatism, and field curvature are equal to zero. Thickness = 1.80, base index = 1.60, and N2 = 0.004.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

σ 4 = μ ( Σ a 4 + a 4 * ) ,
a 4 j = λ 2 c j 2 Δ ( 1 N j ) .
Σ a 4 = λ 2 ( 1 N 0 2 N 0 ) ( c 1 c 2 ) .
a 4 * = λ 2 0 t N 1 N 0 ( x ) dx ,
a 4 * = λ 2 N 1 t N 0 2 ,
σ 4 = µ λ 2 [ 1 N 0 2 N 0 ( c 1 c 2 ) + N 1 t N 0 2 ] = 0 .
c 1 c 2 = 2 N 1 t N 0 ( N 0 1 ) .
ϕ = ( N 0 1 ) ( c 1 c 2 + N 0 1 N 0 c 1 c 2 t ) 2 N 1 t .
N 1 = N 0 1 N 0 c 1 2 ϕ / ( N 0 1 ) t 2 / N 0 + 2 N 0 2 c 1 t .

Metrics