Optical Design and Engineering

Nonparaxial Fourier propagation tool for aberration analysis and point spread function calculation

[+] Author Affiliations
Stephen C. Cain, Tatsuki Watts

Air Force Institute of Technology, Department of Electrical and Computer Engineering, 2950 Hobson Way, Wright-Patterson AFB, Ohio 45433, United States

Opt. Eng. 55(8), 085104 (Aug 15, 2016). doi:10.1117/1.OE.55.8.085104
History: Received February 5, 2016; Accepted July 26, 2016
Text Size: A A A

Abstract.  This paper describes a Fourier propagator for computing the impulse response of an optical system, while including terms ignored in Fresnel and Fraunhofer calculations. The propagator includes a Rayleigh–Sommerfeld diffraction formula calculation from a distant point through the optical system to its image point predicted by geometric optics. The propagator then approximates the neighboring field points via the traditional binomial approximation of the Taylor series expansion around that field point. This technique results in a propagator that combines the speed of a Fourier transform operation with the accuracy of the Rayleigh–Sommerfeld diffraction formula calculation and extends Fourier optics to cases that are nonparaxial. The proposed propagator facilitates direct calculation of aberration coefficients, making it more versatile than the angular spectrum propagator. Bounds on the phase error introduced by the approximations are derived, which show that it should be more widely applicable than the Fresnel propagator. Guidance on how to sample the pupil and detector planes of a simulated imaging system is provided. This report concludes by showing examples of diffraction calculations for a laboratory setup and comparing them to measured diffraction patterns to demonstrate the utility of the propagator.

Figures in this Article
© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Stephen C. Cain and Tatsuki Watts
"Nonparaxial Fourier propagation tool for aberration analysis and point spread function calculation", Opt. Eng. 55(8), 085104 (Aug 15, 2016). ; http://dx.doi.org/10.1117/1.OE.55.8.085104


Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.