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 Ig (x,y) given by the spot diagram is expressed in the form

Ig(x,y)=N-1i=1Nδ(x-xi,y-yi).

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

t(x,y)=N-1i=1Nr(x-xi,y-yi).

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

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