PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
An exact solution for the crosscorrelation between two different apertures of circular symmetry under defocused conditions in a two-pupil system is developed. Application to some nonstandard pupil topologies is described. Previous experimental and theoretical work demonstrates that two optical fields with different temporal frequencies when mixed through an optical heterodyne action at a photodetector can if properly preconditioned produce an electronic signal related directly to the crosscorrelation of the two corresponding pupil functions [1]. Applying this concept several aperture topologies are proposed which lead to OTFs with bandpass and bandreject properties. The approach presented herein is to calculate without approximation the crosscorrelation of two different circular apertures in a two-pupil system. This result will serve as the essential function through which OTFs for various more complicated apertures are expressible. This approach is based on an extension of a previous analysis carried out for the autocorrelation of a circular aperture with defocus [2].
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
The alert did not successfully save. Please try again later.
Ronald J. Pieper, Ting-Chung Poon, "Defocused optical transfer functions for two-pupil systems," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34899