The R0 Calculator
Suzanne Burns
Maui Community College
Advisors Ben Wheeler and Kyle Erickson
Hawaiian Archipelago
over 100 islands, reefs and shoals…
Pihemanu
Holoikauaua
Kānemiloha‘i
Nalukakala
Pūhāhonu
Mokumanamana
Papa‘āpoho
Nihoa
Kauō
Kauai
Mokupāpapa
Ni’ihau
O’ahu
Moloka’i
Maui
Lana’i
Kaho’olawe
Haleakala, Maui
Hawai’i
CCD
LENS
Imaging in outer space
CCD
LENS
Imaging from Earth without Adaptive Optics
R0 Formula
R0 = W
λF
λ
lens
=
The wavelength of incoming light (millimeters)
lens
R
F= λ
=
W
0
The focal length
of the system
(meters)
CCD
Maximum Intensity
Threshold
W
CCD
Maximum Intensity
Threshold 2
W
CCD
Threshold 2
W
CCD
When θ is small
tanθ/2 = θ/2
tanθ/2
θ/2 =
W/2
F
θ/2
F
W/2
θ/2
D
θ/2 =
W/2
F
λ/2
θ/2 =
D
λ/2
θ/2
D
θ/2 =
W
W/2
/2
F
/2
λ
θ/2 =
=
D
λ/2
R0 Formula
R0=
D
λF
W
Sample Result
This C++ Program calculates and
outputs R0 estimates at 2 thresholds
on images taken without AO:
ASCII formatted frame data
from Mat lab
Click and drag file over
program icon to run
Program compiled in Dev-C++
R0 =
λF
W
Hawaiian Archipelago
over 100 islands, reefs and shoals…
Pihemanu
Holoikauaua
Kānemiloha‘i
Nalukakala
Pūhāhonu
Mokumanamana
Papa‘āpoho
Nihoa
Kauō
Kauai
Mokupāpapa
Ni’ihau
O’ahu
Moloka’i
Maui
Lana’i
Kaho’olawe
Special Thanks to Kahu Charles Kauluwehi Maxwell
Hawai’i
Mahalo
TREX Management
Ben Wheeler
Kyle Erikson
Alan Hunter
Dr. Mike Flannigan
Dennis Douglas
James Campbel
Thank you for your support
Lisa Hunter
Malika Bell
Hilary O’Bryan
Leslie Wilkins
Mark Hoffman
The ECET Team
Wallette Pellegrino
Isla Yap
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
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