D. Gabor, in Progress in Optics, Vol. I, E. Wolf, Ed. (North-Holland Publishing Company, Amsterdam, 1961).
K. Miyamoto, J. Opt. Soc. Am. 50, 865 (1960); 51, 910 (1961).
H. J. Landau and H. O. Pollak, Bell System Tech. J. 41, 1295 (1962).
L. Mertz, Transformations in Optics (John Wiley & Sons, Inc., New York, 1965). At the request of the editor of J. Opt. Soc. Am., "light-gathering effectiveness" is used in this paper in place of the term "photometric throughput" used by Mertz.
A. Walther, Am. J. Phys. 35, June (1967).
E. Schmidt, Math Ann. 63, 433 (1907).
Note that this also involves a Gabor-type theorem, which has been firmly established, however, by Landau and Pollak.3
C. W. Barnes, J. Opt. Soc. Am. 56, 575 (1966).
D. Slepian, J. Math. Phys. 44, 99 (1965).
G. Lansraux, J. Opt. Soc. Am. 55, 595A (1965).
M. Kline and E. Kay, Electromagnelic Theory and Geometrical Optics (Interscience Publishers, John Wiley & Sons, Inc., New York, 1965).