1. Tutorial on Computational Optical Imaging University of Minnesota 19-23 September David J. Brady Duke University www.disp.duke.edu

2. Lectures 1.Computational Imaging 2.Geometric Optics and Tomography 3.Fresnel Diffraction 4.Holography 5.Lenses, Imaging and MTF 6.Wavefront Coding 7.Interferometry and the van Cittert Zernike Theorem 8.Optical coherence tomography and modal analysis 9.Spectra, coherence and polarization 10.Computational spectroscopy and imaging

3. Lecture 5. Lenses, Imaging and MTF Outline Thin lens transmittance and thin lens systems Image formation The coherent transfer function The optical transfer function MTF

4. Focal Imaging

5. Impulse response characterization

9. Case 1: z1=z2=F

12. Case 2:

13. Circular Aperture

15. Imaging Transformation

16. Coherent Transfer Function

17. Sketch of the Coherent Transfer Function

18. Why do we measure the field in radar but the intensity in optics?

19. Coherence Functions of the Field

20. Space-time structure of coherence functions

21. Cross Spectral Density

22. Power Spectra

23. Spatially Incoherent Fields

24. Imaging Incoherent Fields

25. Incoherent Impulse Response

26. Circular Aperture

27. Optical Transfer Function

28. Interesting Mathematical Issues How would/could one change the pupil function to optimize for computational imaging?