lect19 - UCF Physics: AST 5765/4762: (Advanced)...

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Unformatted text preview: UCF Physics: AST 5765/4762: (Advanced) Astronomical Data Analysis Fall 2009 Lecture Notes: 19. PSF 1 Check In: 10:30 — 10:35, 5 min • Questions before we start? 2 HW6: 10:35 — 10:55, 20 min 3 N-Dimensional Gaussian: 10:55 — 11:05, 10 min • We often use a 2D Gaussian to model a stellar PSF • Usually symmetric, needn’t be • Consider p G = 1 √ 2 πσ 2 e- 1 2 ( x- x σ ) 2 (1) • Integrates to 1. For 2D function, y direction must integrate to p G ( x ) at each x . • Since p G integrates to 1, just multiply: p G ( x ) p G ( y ) • This smears x Gaussian in y . • Repeat for higher dimensions p G,N = N productdisplay i =1 1 radicalBig 2 πσ 2 i e- 1 2 ∑ N i =1 parenleftBig x i- x i, σ i parenrightBig 2 (2) • Note exponent now looks like an ellipse, hence name elliptical Gaussian. • See gaussian.py in class Python dir. 4 Point-Spread Function (PSF): 11:05 — 11:25, 20 min • Atmosphere has cells of air w/ differing temperatures • Cells refract light, also move...
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This note was uploaded on 11/09/2009 for the course AST 4762 taught by Professor Harrington during the Fall '09 term at University of Central Florida.

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lect19 - UCF Physics: AST 5765/4762: (Advanced)...

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