By Henry Stark
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Finally we considered the problem of space-limited or band-limited extrapolation. Space and time constraints forced our discussion in this area to be necessarily brief, but we felt that the interesting work going on in this area should be mentioned. In the subsequent chapters of this book, numerous applications of the Fourier properties of optical systems will be presented. 40 HENRY STARK REFERENCES  J. W. Goodman (1968). " McGraw-Hill, New York.  W. T. Cathey (1974). " Wiley (Interscience), New York.
Of the input. 2-2) where j \ is the focal length of lens Li. If a filter transparency of amplitude transmittance T(xf, yf) is placed in the plane P / ? the amplitude distribution just after the transparency becomes Uf(xf, yf) = Gi(*/, yf)' T(xf, yf). 2-4) where u' = xfIXf2 = u/M, v = yflkf2 = v/M, and M = / 2 / / i ^s t r i ^ lateral magnification of the imaging system. Use of Eqs. 2-4), leads to the well-known relationship between input and output of a linearinvariant coherent system. , G2(u9 v) = d i n , i;) · H(u, v), H(u, v) = T(A/|MJ, kftl).
Burckhardt, and L. H. Lin (1971). " Academic Press.  A. Erdelyi (1953). "Higher Transcendental Functions," Vol. 2. McGraw-Hill, New York.  A. Papoulis (1968). " McGraw-Hill, New York.  H. Stark (1968). Tech. Rep. T-l/006-1-00. Riverside Res. , New York.  M. G. Jenkins and D. G. Watts (1968). " HoldenDay, San Francisco, California.  N. I. Achieser (1956). " Ungar, New York.  A. Papoulis (1973). IEEE Trans. Inf. Theory IT-19, 9-12.  H. Stark and B. Dimitriadis (1975). J. Opt.