SIDEBAND INTERPRETATION OF OPTICAL INFORMATION AND THE DIFFRACTION PATTERNS OF UNSYMMETRICAL APERTURES
Abstract
The pattern of how information in an object through which a coherent beam of light is passed can be transformed into information existing in the focal plane is described. The information in the focal plane can be interpreted as sidebands of a zero frequency carrier. There isA CLOSE CONNECTION BETWEEN THE SIDEBAND INTERPRETATION AND THE SAMPLING THEOREM OF INFORMATION THEORY AND THIS CONNECTION IS DERIVED AND DISCUSSED. The mathematical methods used in the one dimensional analysis are an application to optics of certain classical methods in modulation and communication theory. 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 patterns of unsymmetrical apertures. In the course of the analysis a two-dimensional quadrature function is used. The quadrature function in one dimension is the Hilbert transform. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1961
- Accession Number
- AD0268720
Entities
People
- Stanford Goldman
Organizations
- Syracuse University