Accession Number:

AD0405008

Title:

SIDEBAND INTERPRETATION OF OPTICAL INFORMATION AND THE DIFFRACTION PATTERNS OF UNSYMMETRICAL PUPIL FUNCTIONS,

Descriptive Note:

Corporate Author:

SYRACUSE UNIV N Y

Personal Author(s):

Report Date:

1962-01-29

Pagination or Media Count:

12.0

Abstract:

It is shown how the pattern information in an object through which a coherent beam of light is passed can be transformed into information existing in the focal plane. The information in the focal plane can be interpreted as side bands of a zero-frequency carrier. There is also a close connection between the sideband znterpretation and the sampling theorem of in formation theory and this connection is derived and discussed. The mathematical methods used in the first one-dimensional part of the analysis are an application to optics of certain classical methods in modulation and communication theory. These are the method of symmetrical and anti symmetrical sideband distribution, the method of paired echoes and sampling theorem analysis. In the two dimensional analysis, a more general method of separating functions into symmetrical and antisymmetrical parts is used. This leads to a new general analysis of the diffraction pat terns of unsymmetrical pupil functions. In the course of the analysis a two-dimensional quad rature function is used. The quadrature function in one dimension is the Hilbert transform. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE