Quantum theory of super-resolution for optical systems with circular apertures

✍ Scribed by Mikhail I. Kolobov; Vladislav N. Beskrovnyy

• Book ID: 104073299
• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 151 KB
• Volume: 264
• Category: Article
• ISSN: 0030-4018
• DOI: 10.1016/j.optcom.2006.02.019

✦ Synopsis

We present the two-dimensional quantum theory of super-resolution, applicable for a large variety of optical systems with circular pupils. Our theory is formulated in terms of circular prolate spheroidal functions which form the eigen basis of two-dimensional imaging system with circular pupils. We provide, in particular, analytical and numerical results for the point-spread function characterizing reconstruction of optical objects with super-resolution from diffraction-limited images. We evaluate the super-resolution factor as a function of the signal-to-noise ratio in the input object for coherent light and multimode squeezed light.