Analytic Fourier Optics
- 1 September 1979
- journal article
- research article
- Published by Taylor & Francis in Optica Acta: International Journal of Optics
- Vol. 26 (9) , 1139-1146
- https://doi.org/10.1080/713820114
Abstract
An extension of Fourier concepts in optics is presented, indicating the importance of analyticity for describing propagating fields. The paper highlights the particular nature of the analyticity that may be associated with fields in propagation, namely an entire and exponential type character. Such analytic functions are described uniquely by a denumerable infinity of zeros, distributed near or on the real axis. The paper presents a study of the way in which the zeros encode the information on scatterers and fields.Keywords
This publication has 16 references indexed in Scilit:
- The phase problem in scattering phenomena: the zeros of entire functions and their significanceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Resolvable degrees of freedom in observation of a coherent objectJournal of the Optical Society of America, 1977
- The phase problemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1976
- The transmission of information by coherent light. I. Classical theoryJournal of Physics E: Scientific Instruments, 1975
- An examination of an iterative method for the solution of the phase problem in optics and electron optics: I. Test calculationsJournal of Physics D: Applied Physics, 1973
- Band-Limited Random-Real-Zero SignalsIEEE Transactions on Communications, 1973
- Propagation of Structural Information in Optical Wave Fields*Journal of the Optical Society of America, 1971
- On the zeros of the derivatives of a function and its analytic characterBulletin of the American Mathematical Society, 1943
- THE ZEROS OF CERTAIN INTEGRAL FUNCTIONSThe Quarterly Journal of Mathematics, 1930
- Über die Nullstellen gewisser ganzer FunktionenMathematische Zeitschrift, 1918