Suzanne BurnsMaui Community College

Advisors Ben Wheeler and Kyle Erickson

The R0 Calculator

over 100 islands, reefs and shoals…

Kānemiloha‘i

Pihemanu

Hawaiian Archipelago

Mokumanamana

MokupāpapaKauō

Papa‘āpoho

Holoikauaua

Pūhāhonu

Ni’ihau

Kaho’olawe

Kauai

Lana’i

Moloka’iMaui

O’ahu

Hawai’i

Nalukakala

Nihoa

Haleakala, Maui

Imaging in outer space

LENS

CCD

Imaging from Earth without Adaptive Optics

LENS

CCD

R0 Formula

R0=

F

Wλ

The wavelength of incoming light (millimeters)

lens

=

λ

WλR =0

F The focal length of the system (meters)

=

CCD

lens

WCCD

Threshold

Maximum Intensity

WCCD

Maximum Intensity

Threshold 2

WCCD

Threshold 2

W/2

W/2

Fθ/2

When θ is small tanθ/2

= θ/2

tanθ/2

=θ/2 F

W/2

W/2=

D

λ /2θ/

2=

λ /2

F

D

θ/2

θ/2 F

W/2

W=

D

λ

λ /2

F

D

θ/2

θ/2

=

F

θ/2

= /2

/2

DR0 Formula

R0 Wλ=

F

ASCII formatted frame data from Mat

lab

Program compiled in Dev-C++

Click and drag file over program icon to

run

This C++ Program calculates and outputs R0 estimates at 2 thresholds on images taken

without AO:

Sample Result

R =

λ F

W0?

over 100 islands, reefs and shoals…

Kānemiloha‘i

Pihemanu

Hawaiian Archipelago

Mokumanamana

MokupāpapaKauō

Papa‘āpoho

Holoikauaua

Pūhāhonu

Ni’ihau

Kaho’olawe

Kauai

Lana’i

Moloka’iMaui

O’ahu

Hawai’i

Nalukakala

Nihoa

Special Thanks to Kahu Charles Kauluwehi Maxwell

Mahalo

TREX ManagementBen WheelerKyle EriksonAlan Hunter

Dr. Mike FlanniganDennis Douglas James Campbel

Thank you for your support

Lisa Hunter Malika Bell

Hilary O’Bryan

Mark HoffmanThe ECET Team

Wallette Pellegrino

Isla Yap

Leslie Wilkins

Funding provided through the Center for Adaptive Optics, a National Science Foundation

Science and Technology Center (STC AST-987683

Sources• http://cfao.ucolick.org• http://www.trexenterprises.com• http://ecet.mauicc.hawaii.edu/tsc/images/MCClogo.gif• http://www.medb.org• http://www.cise.columbia.edu/ise/images/nsf.gif • http://www-ccrma.stanford.edu/~cc/sophC/images/

heatwave.jpg• http://en.wikipedia.org/wiki/Northwestern_Hawaiian_Islands• http://biology.usgs.gov/pierc/images/

archipelagoMarianaSmall.gif• REFERENCES:• "The C Programming Language" Prentice Hall Software

Series, Brian Kernighan, Dennis Ritchie• "Annotated Solution Guide for Thinking in C++", 2nd

edition, V1, Chuck Allison, c.2001• "Thinking in C++",2nd ed. V 1, Bruce Eckel c. 2000