OPTI 596C

7/05

Opti596CX. Aberrated Imaging and Propagation (3) II.  Diffraction effects of aberrations in imaging systems with circular, annular, and Gaussian pupils, and imaging through atmospheric turbulence.  P. Opti502, Opti509.

Link to Lectures

Course Outline:

1. Fundamentals of Image Formation

Diffraction theory of image formation with emphasis on aberrations

Compare diffraction and geometrical PSFs and OTFs

Strehl, Hopkins, and Struve ratios

Asymptotic behavior of PSF

2. Imaging by systems with circular pupils

Aberration-free PSF and beam focusing

Strehl ratio and aberration balancing and tolerance

Zernike circle  polynomial expansion of aberration function

Aberrated PSF and its symmetry properties

Encircled and ensquared power

Aberrated OTF and Hopkins ratio

Line of sight and centroid of PSF of an aberrated system

Line-spread function and Struve ratio

Polychromatic PSFs and OTFs

3. Imaging by systems with annular pupils

Discuss similar topics as for systems with circular pupils, including Zernike annular polynomials

4. Imaging by systems with Gaussian pupils

Effect of Gaussian apodization on PSF and OTF

Zernike-Gauss polynomials and aberration balancing

Propagation of Gaussian beams

5. Random Aberrations

Random image motion

Fabrication errors

Propagation through atmospheric turbulence

Text: 

Optical Imaging and Aberrations, Part II:  Wave Diffraction Optics (2004, SPIE Press) by the instructor.

Grade:

40% homework

30% each for midterm and final exam