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

2. www.opticalimaging.org Lectures 1.Computational Imaging 2.Geometric Optics and Tomography 3.Diffraction and optical elements 4.Holography 5.Lenses, Imaging and MTF 6.Wavefront Coding and the impulse response 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. www.opticalimaging.org Lecture 3. Diffraction and Optical Elements Harmonic analysis in optics Diffraction and the diffraction impulse response Fresnel diffraction Fraunhofer diffraction Optical Elements

4. www.opticalimaging.org Wave Model of the Electromagnetic Field

5. www.opticalimaging.org Harmonic Analysis of EM Fields

6. www.opticalimaging.org Harmonic Analysis of EM Field

7. www.opticalimaging.org Diffraction and the Impulse Response

8. www.opticalimaging.org Shift Invariant Linear Transformation H(u,v)=

9. www.opticalimaging.org Fresnel Diffraction

10. www.opticalimaging.org

13. Uncertainty and the Fresnel Transform

14. www.opticalimaging.org Fraunhoffer Diffraction

15. www.opticalimaging.org Size Estimation from Fraunhofer Diffraction

16. www.opticalimaging.org Optical Elements prism http://www.holonet.khm.de/jross/collection/reber.html grating

17. www.opticalimaging.org Transmittance Functions

18. www.opticalimaging.org Prism Transmittance

19. www.opticalimaging.org Grating Transmittance

20. www.opticalimaging.org Absorption, density and surface gratings

21. www.opticalimaging.org Lenses

22. www.opticalimaging.org Lens transmittance

23. www.opticalimaging.org The Lens as a Curved Prism

24. www.opticalimaging.org

27. 3D optical elements http://www.canon.com/camera-museum/tech/l_plant/kumitate/ku_5/body5.html

28. www.opticalimaging.org Photonic Crystals and Circuits

29. www.opticalimaging.org Interesting Mathematical Issues How to simply model, understand and use 3D optical elements