Phase-space window and degrees of freedom of optical systems with multiple apertures
Ozaktas, H., M.
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21126
Journal of the Optical Society of America A: Optics and Image Science, and Vision
- Research Paper 
OSA - The Optical Society
We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the space-frequency support of a signal lies completely within this window, the signal passes without information loss. When it does not, the parts that lie within the window pass and the parts that lie outside of the window are blocked, a result that is valid to a good degree of approximation for many systems of practical interest. Also, the maximum number of degrees of freedom that can pass through the system is given by the area of its space-frequency window. These intuitive results provide insight and guidance into the behavior and design of systems involving multiple apertures and can help minimize information loss. © 2013 Optical Society of America.
Showing items related by title, author, creator and subject.
Ertuğrul, Zehra (Bilkent University, 1994)This work is a study of the relation between the vanishing of Ext functor and the existence of regular bases in the cartesian product and tensor product of some special Kothe spaces. We give some new results concerning ...
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: A generalization of the space-bandwidth product Oktem F.S.; Ozaktas, H., M. (OSA - The Optical Society, 2010)Linear canonical transforms (LCTs) form a three-parameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique ...
Cojuhari P.; Gheondea, A. (2013)We propose a general concept of triplet of Hilbert spaces with closed embeddings, instead of continuous ones, and we show how rather general weighted L2 spaces yield this kind of generalized triplets of Hilbert spaces for ...