Abstract

The development of electronic computers has brought greater possibilities in evaluation methods for lens systems, and the theory of transfer functions is now being applied to practical lens design. In this paper, the evaluation by spot diagrams is discussed. A method of plotting spot diagrams is proposed, utilizing the line printer of a computer as the X-Y plotter. The geometrical optical intensity distribution I_g (x,y) given by the spot diagram is expressed in the form

The convolution t (x,y) with the turbidity r (x,y) of the image receiver, the total impulse response, is given by

Intensity distributions calculated by the computer are compared with the measured ones for an actual lens, and the agreement is satisfactory. This procedure can also be applied to the case of the transfer function. The Strehl definition t (0,0) is calculated for several cases of primary and secondary spherical aberrations, and it is confirmed that there are two extremum positions of the spot diagram in some cases.

© 1963 Optical Society of America

On a Comparison between Wave Optics and Geometrical Optics by Using Fourier Analysis. III. Image Evaluation by Spot Diagram

Kenyō Miyamoto
J. Opt. Soc. Am. 49(1) 35-40 (1959)

Automatic Computation of Spot Diagrams*

Orestes N. Stavroudis and Donald P. Feder
J. Opt. Soc. Am. 44(2) 163-170 (1954)

The Role of Eikonal and Matrix Methods in Contrast Transfer Calculations

W. Brouwer, E. L. O’Neill, and A. Walther
Appl. Opt. 2(12) 1239-1246 (1963)

Optical Image Evaluation and the Transfer Function

F. Dow Smith
Appl. Opt. 2(4) 335-350 (1963)

Analysis of Spot Diagrams*

M. Herzberger
J. Opt. Soc. Am. 47(7) 584-594 (1957)