Improved Imaging of Near Earth Objects Using Better

Telescope Specifications

Hazel ButlerCfAO Akamai Internship

Institute for AstronomyAdvisors: Stuart Jefferies and Doug Hope

Imaging of Near Earth Objects (NEO) Asteroids, satellites, space debris

Monitor Satellite Health Cost millions Track orbits

Motivation

Telescope Limitations

Diffraction Limit Telescope Aperture Resolution

Atmospheric Distortion R0

Atmospheric Distortion

Planer Light Waves

Atmosphere

Distorted Light Waves

Overcoming this Problem

Adaptive Optics Image Restoration

Prior Information Point Spread Function (PSF)

Uses multiple frames to estimate the PSF and the object

Multi-Frame Blind Deconvolution

Telescope Pupil Function

Specify radius of the telescope pupil

My Project

Wrong pupil size Intensity differences error

High IntensityMedium Intensity

Low Intensity

object Point Spread Function

Methodology

Build Pupil

Program

Run Simulations

Build Error Program

Calculate Errors

Analyze Results

Build Intensity

Difference Program

Calculate Errors

Analyze Results Conclusions

)Computing the Error

2

(Estimated Image Truth Image

Truth Image 2

Simulation Parameters

The atmospheric distortion (D/r0) was 5.

Intensity Levels High Threshold (0.05) Low Threshold (0.005)

3 Pupil Radii16 Frames

Total Error Results

0.00E+00

2.00E+13

4.00E+13

6.00E+13

8.00E+13

1.00E+14

1.20E+14

radius 28 radius 30 radius 32

est. psf 25

est. psf 500

Intensity Error Results

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

Radius 28 Radius 30 Radius 32

High

Medium

Low

Conclusions

Pupil Radius SignificanceHigh and Low IntensityImage ImprovementOdd Phase Results

References and Sources

Astronomy Picture of the Day images http://antwrp.gsfc.nasa.gov/apod/astropix.html

Bracewell, R. The Fourier Transform and its Applications. 2000. McGraw-Hill Higher Education, Boston

Nocedal, J. and Wright, S. Numerical Optimization. 1999. Springer-Verlag New York, Inc., New York

Roggemann, M and Welsh, B. Imaging through turbulance. 1996 CRC press LLC, Boca Raton

Acknowledgements Institute for Astronomy

Doug Hope Stuart Jefferies Cindy Geibink

Center for Adaptive Optics Malika Bell Lisa Hunter Hilary O’Bryan

Maui Economic Development Board Isla Yap

Maui Community College Mark Hoffman

Funding provided through the Center for Adaptive Optics, a National Science Foundation Science and Technology Center (STC), AST-987683