Abstract

If two thin lens elements of two different glasses are combined into a thin two-element system, then the chromatic properties of the system may be described by the effective values of <i>V</i> [<i>V</i> = (<i>N</i> - 1)/(<i>N</i><sub><i>F</i></sub>-<i>N</i><sub><i>C</i></sub>)], and <i>P</i> [<i>P</i>=(Δ<i>N</i>/<i>N</i><sub><i>F</i></sub>-<i>N</i><sub><i>C</i></sub>)]. The effective value, <i>P¯</i>, is a linear function of <i>V¯</i>. On a graph of <i>P</i> versus <i>V</i>, the straight line drawn through the points for two glasses is the locus of all possible effective values of <i>V</i> and <i>P</i> for combinations of these two glasses. By means of such a graph the effective value <i>P¯</i> for a combination of two glasses may be matched to <i>P</i> of a third glass whose <i>V</i> differs from <i>V¯</i> by a useful amount. An achromatic lens system of the three glasses may then be computed, which will have a common focal length for three wavelengths.

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  1. N. v. d. W. Lessing, J. Opt. Soc. Am. 47, 955 (1957).
  2. N. v. d. W. Lessing, J. Opt. Soc. Am. 48, 269 (1958).
  3. A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, New York, 1929), pp. 162, 163.
  4. These definitions are in terms of spectrum lines customarily used in the computation of achromats for visual use. They may of course be generalized for any judiciously chosen set of four wavelengths.
  5. The term "three-color achromat" means a lens system that has a common paraxial focal point for three wavelengths. The word apochromat implies further corrections, namely, satisfaction of the sine condition and correction of spherical aberration at two wavelengths, with which we are not concerned in this paper.

Conrady, A. E.

A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, New York, 1929), pp. 162, 163.

Lessing, N. v. d. W.

N. v. d. W. Lessing, J. Opt. Soc. Am. 47, 955 (1957).

N. v. d. W. Lessing, J. Opt. Soc. Am. 48, 269 (1958).

Other (5)

N. v. d. W. Lessing, J. Opt. Soc. Am. 47, 955 (1957).

N. v. d. W. Lessing, J. Opt. Soc. Am. 48, 269 (1958).

A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, New York, 1929), pp. 162, 163.

These definitions are in terms of spectrum lines customarily used in the computation of achromats for visual use. They may of course be generalized for any judiciously chosen set of four wavelengths.

The term "three-color achromat" means a lens system that has a common paraxial focal point for three wavelengths. The word apochromat implies further corrections, namely, satisfaction of the sine condition and correction of spherical aberration at two wavelengths, with which we are not concerned in this paper.

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