Caltech Spice-Based Galaxy Calculator User manual

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;E!K92L9M2NEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEG!
GE!7K>AMOMP+*4F2*7K@2 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEQ!
A.!ADDITIONAL FLAGS.......................................................... 3!
QE!L=PPMP+*4F2*7K@2 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEER!
A.!SPECIFYING THE TELESCOPE CONFIGURATION ........................................ 5!
B.!TELESCOPE CONFIGURATION FILE FORMAT .......................................... 7!
C.!SPECIFYING THE OBSERVING STRATEGY AND DETECTOR CHARACTERISTICS..................... 8!
D.!WL-SPECIFIC INPUTS....................................................... 10!
E.!BAO-SPECIFIC INPUTS...................................................... 12!
F.!PZCAL-SPECIFIC INPUTS.................................................... 15!
SE!7K@2*K=4A=4!C*NO*247 EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ;R!
RE!7K@2*K=4A=4!C*'TK*247EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ;U!
VE!7K@2*K=4A=4!C*AW7TO*247EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ;H!
UE!@24TMO2@*>24FK@KOK+X*TP@*T!!=>A4MKP!EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ;Y!
A.!BACKGROUND COSMOLOGY ..................................................... 19!
B.!SKY BRIGHTNESS .......................................................... 19!
C.!GALACTIC EXTINCTION ...................................................... 20!
D.!LINE SENSITIVITY AND EFFECTIVE SOLID ANGLE.................................... 20!
E.!EXPECTED VS.OBSERVED SNR................................................. 22!
F.!NOISE MODEL............................................................. 24!
G.!THERMAL BACKGROUND MODEL .................................................. 27!
H.!GALAXY PROFILES ......................................................... 29!
I.!POINT SPREAD FUNCTIONS.................................................... 29!
J.!ELLIPTICITY UNCERTAINTY ................................................... 32!
HE!@T4T*!4L=74=L2!*TP@*Z=P74MKP! EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE QQ!
A.!DATA STRUCTURES ......................................................... 33!
B.!INTERFACE FUNCTIONS ...................................................... 34!
C.!SPECIAL FUNCTIONS ........................................................ 34!
D.!ROUTINES TO SET UP DETECTOR PARAMETERS ....................................... 35!
E.!ROUTINES TO COMPUTE THE THROUGHPUT .......................................... 35!

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0!
F.!ROUTINES TO COMPUTE THE MODULATION TRANSFER FUNCTION (MTF) ...................... 35!
G.!ROUTINES TO COMPUTE GALAXY IMAGE PROPERTIES ................................... 35!
H.!ROUTINES TO COMPUTE COSMOLOGICAL INFORMATION .................................. 37!
I.!ROUTINES TO COMPUTE PROPERTIES OF THE BAO GALAXY DISTRIBUTION .................... 37!
J.!ROUTINES TO COMPUTE DENSITIES OF OBSERVABLE GALAXIES:BAO ....................... 37!
K.!ROUTINES TO COMPUTE DENSITIES OF OBSERVABLE GALAXIES:WL ........................ 38!
L.!ROUTINES TO COMPUTE THE FOREGROUND RADIATION AND ABSORPTION ...................... 38!
M.!ROUTINES TO COMPUTE NOISE AND RELATED QUANTITIES ............................... 39!
N.!I/O AND ASSOCIATED ROUTINES ............................................... 41!
YE!92L!MKP*FM!4KLXEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE S;!
;<E!T7[PKNO2@+2>2P4! EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE SG!
;;E!T7LKPX>! EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE SQ!
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!
1. Overview
!
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2. Compiling the Code
!
!1$-!314!%2!'#(/',,C!(@7!#',#/,'(7&2!%5!75-D!'5!%8':%5:a@-'P!,-52%5:!#',#/,'(7&!'5.!'!
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! 1$-!#7.-!2$7/,.!#78*%,-!@%($!($-!#788'5.2D!!
!
gcc exptimecalc.c -lm -Wall -O3 -o wletc.exe -DWL_MODE
gcc exptimecalc.c -lm -Wall -O3 -o baoetc.exe -DBAO_MODE
gcc exptimecalc.c –lm –Wall –O3 –o pzcaletc.exe -DPZCAL_MODE
!
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baoetc.exe!'5.!pzcaletc.exe+!
A. Additional flags
!
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-DWL_MODE!7&!-DBAO_MODE!7&!-DPZCAL_MODE!-+:+D!
!
gcc exptimecalc.c -lm -Wall -O3 -o wletc.exe -DWL_MODE -DIN_DLON
!
1$-!2/**7&(-.!7*(%752!'&-D!
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K*(%752!&-,'(-.!(7!($-!?S>!#78*/('(%752D!
!
-DUSE_SNRE

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-DTILT_BACK
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3. Running the Code
!
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A. Specifying the telescope configuration
!
!1$-!6%&2(!%5*/(!@%,,!A-!($-!(-,-2#7*-!#756%:/&'(%75+!1$-&-!'&-!(@7!7*(%752!$-&-D!75-!
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!

!
p!
./baoetc.exe
Enter telescope configuration [0=generic, 1=from file]: 0
Enter aperture outer diameter (meters): 1.5
Enter central obscuration (fractional -linear): 0.5
Enter pixel scale (arcsec): 0.37
Enter throughput (total, all orders): 0.6
Enter throughput (1st order): 0.6
!
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2#',-!2!%2!%5!'&#!2-#75.2+!
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314G! ($-! "2(!7&.-&!($&7/:$*/(+!1$-!5($!7&.-&!($&7/:$*/(! ?5!%2!.-6%5-.!'2! ($-! &'(%7! 76! ($-!
-66-#(%B-!'&-'!6-66H5!%5!($-!5($!7&.-&!(7!($-!:-78-(&%#!'&-'!76!($-!'55/,/2+!
!
€
Aeff,n=fn
π
4(1 −
υ
2)D2
+!
!
<7&!($-!;E!314H!($-!($&7/:$*/(!#75(&7,2!A7($!2%:5',!'5.!A'#P:&7/5.H!@$-&-'2!67&!($-!IJK!
314! ($-! ',,O7&.-&! ($&7/:$*/(! ?',,! #75(&7,2! ($-! A'#P:&7/5.! @$%,-! 75,C! ($-! "
2(!7&.-&!
($&7/:$*/(!?"!%2!/2-.!(7!#78*/(-!($-!2%:5',+!<7&!*&%28!2*-#(&72#7*C!75-!57&8',,C!$'2!?"!e!
?',,!@$%,-!'!:&%28!@7/,.!$'B-!?"[?',,!FA/(!2--!($-!57(-!A-,7@!75!2#'((-&-.!,%:$(G+!
! J!W6&78!6%,-X!%5*/(!8%:$(!,77P!,%P-D!
!
./baoetc.exe
Enter telescope configuration [0=generic, 1=from file]: 1
Input file name: data/JDEM_Omega_nomask_SpC.dat
Using configuration: JDEM_Omega_no_pupil_mask_110323
!
1$-!%5*/(!6%,-!#75('%52!($-!:-78-(&%#',!*'&'8-(-&2!F>H!qH!'5.!2G!'2!@-,,!'2!('A,-2!76!($-!(7(',!
($&7/:$*/(!?',,!'5.!($-!.-2%&-.O7&.-&!($&7/:$*/(!F?"!67&!IJK!'5.!?\!67&!;EG+!1$-!6%,-!67&8'(!
%2! .-2#&%A-.! %5! ^]+I+! =(! %2! ',27! *722%A,-! (7! %5#7&*7&'(-! ($-&8',! *'&'8-(-&2! %5! ($-!
#756%:/&'(%75!6%,-+!
!?-B-&',!*7%5(2!'&-!%5!7&.-&!&-:'&.%5:!($-!($&7/:$*/(2+!
!
•1$-!#/&&-5(!B-&2%75!76!($-!314!.7-2!57(!%5#,/.-!2*%.-&2+!T7@-B-&H!%(!%2!*722%A,-!(7!
'**&7L%8'(-,C!%5#,/.-!'!2*%.-&!@%($!'**&7*&%'(-!'.Q/2(8-5(2!(7!($-!%5*/(2+!J!2*%.-&!
($'(!A,7#P2!'!6&'#(%75!?2*!76!($-!'55/,/2!$'2!(@7!8'Q7&!-66-#(2D!75-!%2!(7!&-./#-!($-!
-66-#(%B-! '&-'! AC! '! 6'#(7&! 76! "h?2*V! '5.! ($-! 7($-&! %2! (7! 2#'((-&! '! 6&'#(%75! ?2*!76!($-!
&-8'%5%5:!,%:$(!%5(7!.%66&'#(%75!2*%P-2!F@$%#$!'&-!57(!/2-6/,!67&!.-(-#(%5:!7AQ-#(2!7&!
-8%22%75!,%5-2G+!;-!($/2!&-#788-5.!($'(! #756%:/&'(%752!@%($!2*%.-&2!%5#7&*7&'(-!
A7($!76!($-2-!-66-#(2!%5!($-!($&7/:$*/(!#/&B-D!?',,FgG!%2!&-./#-.!AC!'!6'#(7&!76!"h?2*!
&-,'(%B-!(7!@$'(!%(!@7/,.!A-!%6!($-!2*%.-&!@-&-!8':%#',,C!&-87B-.V!'5.!?\FgG!7&!?"FgG!
%2!&-./#-.!AC!'!6'#(7&!76!F"h?2*G0+!J!#752-Y/-5#-!76!($%2!%2!($'(!67&!'5!%8':-&!@-!$'B-!
?\FgGa?',,FgG!e!"h?2*!%52(-'.!76!"+!

!
k!
•1$-!314!.7-2!57(!#/&&-5(,C!%5#,/.-!($-!*&7./#(%75!76!8/,(%*,-!#$'&:-2!*-&!*$7(75H!
@$%#$!8'C!A-!2%:5%6%#'5(!'(!B-&C!A,/-!@'B-,-5:($2+!1$%2!2$7/,.!57(!A-!2%:5%6%#'5(!%5!
($-!&'5:-!76!@'B-,-5:($2!&-#788-5.-.!67&!($-!;<=>?1!;E!'5.!IJK!*&7:&'82H!g!l!
"!r8+!
!
=6!($-!WFE_INPUT!7*(%75!%2!/2-.!F%(!%2!75!AC!.-6'/,(!%5!($-!#7.-!%5!Bp!'5.!,'(-&!/2%5:!
#define WFE_INPUTH!'5.!#'5!A-!(/&5-.!766!75,C!AC!&-87B%5:!($%2!,%5-GH!($-5!($-!#7.-!
*&78*(2! ($-! /2-&! 67&! ($-! &82! @'B-! 6&75(! -&&7&! %5! r8+! 1$-! -66-#(! 76! '5! 'A-&&'(%75! %2! 57(!
/5%Y/-,C!.-(-&8%5-.!AC!($-!&82!@'B-!6&75(!-&&7&H!27!($-!#7.-!/2-2!'!#752-&B'(%B-!6%((%5:!
6/5#(%75!'22/8%5:!($-!-&&7&!%2!%5!,7@O7&.-&!Fi]G!N-&5%P-!87.-2!F2--!^k+=!67&!.-('%,2G+!
B. Telescope configuration file format
!
1$-!(-,-2#7*-!#756%:/&'(%75!6%,-!#75('%52!A'2%#!*&7*-&(%-2!2/#$!'2!($-!'*-&(/&-!'5.!
*%L-,!2#',-H!'2!@-,,!'2!'!('A,-!76!($&7/:$*/(!'2!'!6/5#(%75!76!@'B-,-5:($+!=(!%2!',27!*722%A,-!(7!
%5#7&*7&'(-!($-&8',!*&7*-&(%-2!76!($-!(-,-2#7*-!%5!($-!#756%:/&'(%75!6%,-!($'(!7B-&&%.-!($-!
.-6'/,(!2-((%5:2!76!($-!314+!4756%:/&'(%75!6%,-2!'&-!',@'C2!,%8%(-.!(7!,%5-2!76!57!87&-!($'5!
0jb!#$'&'#(-&2+!
J5! -L*,%#%(! -L'8*,-! 76! '!#756%:/&'(%75!6%,-!%2!
data/JDEM_Omega_nomask_SpC.datH!@$%#$!$'2!($-!67&8"D!
!
# JDEM Omega, no pupil mask
# based on 'Throughput table JDEM Omega 110322_cj.xlsx'
# Received: 2011/03/23
#
# This has no pupil mask, so we have 1.5 m outer diameter and 50%
# linear obscuration. The spider is included in the throughput (all
# orders) numbers. For the '1st order' throughput I simply squared
# these (i.e. the spider blocks 2.45% of the radiation and scatters
# an additional 2.45% into the far diffraction wings where it is
# useless but still contributes to background).
#
JDEM_Omega_no_pupil_mask_110323
1.5 0.5 0.37 30
1.1000 0.3947 0.3850
1.1310 0.3973 0.3876
1.1621 0.4371 0.4263
s!
2.0000 0.5618 0.5481
!
1$-!6%,-!A-:%52!@%($!'!2-(!76!#788-5(!,%5-2!($'(!2('&(!@%($!#!F57(-!($'(!/5.-&!($-!#/&&-5(!
#7.-! 2(&/#(/&-H! ',,! #788-5(! ,%5-2! 8/2(! A-! '(! ($-! A-:%55%5:! 76! ($-! 6%,-D! ($-C! 8'C! 57(! A-!
%5(-&2*-&2-.!@%($!($-!%5*/(!.'('G+!1$-!6%&2(!575O#788-5(!,%5-!%2!'!#756%:/&'(%75!,'A-,!F%5!
($%2!#'2-!WJDEM_Omega_no_pupil_mask_110323XG!($'(!8/2(!A-:%5!@%($!'!575O2*-#%',!
#$'&'#(-&!F',*$'5/8-&%#!7&!/5.-&2#7&-G+!1$-!5-L(!,%5-!$'2!67/&!5/8A-&2D!%5!7&.-&!($-2-!'&-!
($-!7/(-&!.%'8-(-&!>!F%5!8-(-&2GV!($-!#-5(&',!7A2#/&'(%75!qV!($-!*%L-,!2#',-!2!F%5!'&#2-#GV!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
"!1$-!.'('!67&!($%2!%5*/(!6%,-!@'2!*&7B%.-.!AC!t'B-!475(-5(!'5.!4,%66!u'#P275+!

!
_!
'5.!($-!5/8A-&!76!:&%.!*7%5(2!@!'(!@$%#$!($-!($&7/:$*/(!#/&B-!%2!.-6%5-.+!<7,,7@%5:!($%2!%2!
'!('A,-!@%($!@!,%5-2!-'#$!@%($!($&--!5/8A-&2D!($-!@'B-,-5:($!g!%5!r8V!($-!(7(',!($&7/:$*/(!
?',,FgGV! '5.! ($-! .-2%&-.O7&.-&! ($&7/:$*/(! ?\FgG! 7&! ?"FgG! F67&! %8':-&2! 7&! 2*-#(&78-(-&2H!
&-2*-#(%B-,CG+
! 1$-! ($&7/:$*/(! ('A,-! %2! %5(-&*7,'(-.! ,%5-'&,C! A-(@--5! :&%.! *7%5(2+! =(! %2! '22/8-.!
#752('5(!7/(2%.-!($-!&'5:-!76!($-!('A,-!%6!($-!/2-&!&-Y/-2(2!2/#$!'!@'B-,-5:($H!A/(!76!#7/&2-!
%(!%2!57(!&-#788-5.-.!(7!/2-!($-!314!7/(2%.-!($-!&'5:-!76!($-!($&7/:$*/(!('A,-!/5,-22!($%2!
&-*&-2-5(2!($-!-L*-#(-.!A-$'B%7&!76!($-!2C2(-8v!
!S75O.-6'/,(!($-&8',!-8%22%75!*'&'8-(-&2!#'5!A-!2*-#%6%-.!%5!($-!#756%:/&'(%75!6%,-!
@%($!'!!THERMAL!,%5-+!1$%2!,%5-!8/2(!'**-'&!'6(-&!($-!-5.!76!($-!#788-5(2!'5.!A-67&-!($-!
#756%:/&'(%75!,'A-,+!J5!-L'8*,-!@7/,.!A-D!
!
# JDEM Omega, no pupil mask
# This configuration has thermal parameters.
#
!THERMAL 219. 0.02 1.10 0 219. 0.08 5e-3
JDEM_Omega_no_pupil_mask_110323 (ImC)
1.5 0.5 0.18 30
0.4000 0.4362 0.4255
0.4552 0.5203 0.5076
0.5103 0.5562 0.5426
…
2.0000 0.7109 0.6934
!
1$-!!THERMAL!,%5-H!,%P-!',,!,%5-2!%5!($-!#756%:/&'(%75!6%,-H!%2!,%8%(-.!(7!57!87&-!($'5!0jb!
#$'&'#(-&2+!1$-!k!*'&'8-(-&2!2*-#%6%-.!'&-H!%5!7&.-&D!
!
•1$-!(-,-2#7*-!(-8*-&'(/&-H!A(-,!F%5!w-,B%5GV!
•1$-!-8%22%B%(%-2!*-&!2/&6'#-!d!76!($-!*&%8'&C!'5.!2-#75.'&C!8%&&7&2V!
•1$-!&'(%7!x!76!7/(-&!.%'8-(-&!76!($-!%,,/8%5'(-.!&-:%75!(7!($'(!76!($-!*&%8'&C!8%&&7&V!
•J5!%5(-:-&!6,':!%5.%#'(%5:!@$-($-&!($-&-!%2!'!#7,.!*/*%,!8'2P!F"!e!C-2H!\!e!57GV!
•1$-!(-8*-&'(/&-!76!($-!'6(!7*(%#2!/*2(&-'8!76!($-!6%,(-&H!A'6(!F%5!w-,B%5GV!
•1$-!2/88-.!-8%22%B%(C!d'6(!76!($-!'6(!7*(%#2V!'5.!
•1$-!#7/5(!&'(-!6&78!($-!6%,(-&!'5.!.7@52(&-'8!#78*75-5(2!B.7@5!F%5!%ha*%La2G+!
!
1$-!!THERMAL!,%5-!7B-&&%.-2!($-!.-6'/,(!2-((%5:2!76!',,!($-2-!*'&'8-(-&2+!?--!^k+R!67&!'!
.-('%,-.!.-2#&%*(%75!76!$7@!($-2-!'&-!/2-.+!
C. Specifying the observing strategy and detector characteristics
!
T'B%5:!.-2#&%A-.!($-! (-,-2#7*-H! 75-! 8/2(! 5-L(!2*-#%6C!($-!*&7*-&(%-2!76!($-!6%,(-&H!
.-(-#(7&H!'5.!7A2-&B'(%75',!#%&#/82('5#-2+!1$-!67,,7@%5:!2-(!76!%5*/(2!'&-!&-Y/-2(-.!F$-&-!
@%($!2'8*,-!%5*/(2GD!
!
Enter detector type [e.g. 0=H2RG]: 0
Enter pointing jitter (arcsec rms per axis): 0.04
Enter minimum wavelength (microns): 1.1
Enter maximum wavelength (microns): 2.0

!
c!
Enter single exposure time (s): 150
Enter read noise floor (effective e-rms per pixel): 5
Enter dark current (e-/pix/sec): 0.05
Enter ecliptic latitude (degrees): 45
Enter Galactic reddening, E(B-V) (magnitudes): 0.05
Enter number of exposures: 6
!
!1$-!#/&&-5(,C!'B'%,'A,-!.-(-#(7&!(C*-2!F'5.!($-!%5.-L!67&!%5*/((%5:!($-8G!'&-D!
!
M:)%-*
4."%*
A5-%,*!$#,%!
yr8z!
7D#0\%*@5BB/(53:!
yr8!&82a'L%2z!
PML*@%8%$830*A#0#6%8%0(*
\!
T0>R!FS=>G!0H]!
]0!#$'55-,2!
"_+\!
0+cb!
$6!e!"+]!2V!
€
σ
read
2
!e!0\\!
"!
-0B!44t!
"0+\!
j+\\!
SaJ!
0!
Tb>R!FS=>Gb!
]0!#$'55-,2!
"\+\!
0+cb!
$6!e!j+0b!2V!
€
σ
read
2
!e!0\\!
]!
Tb>R!FS=>G!
pb!#$'55-,2!
"\+\!
0+cb!
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€
σ
read
2
!e!0\\!
!
!1$-!7B-&',,! M?<! %2!('P-5! (7! A-!($-! #75B7,/(%75! 76! ($-!.%66&'#(%75! *'((-&5! 6&78! ($-!
'55/,/2H!'A-&&'(%752!%6!5759-&7!@'B-!6&75(!-&&7&!%2!2*-#%6%-.H!($-!.-(-#(7&!&-2*752-!F*%L-,!
(7*$'(! *,/2! #$'&:-! .%66/2%75GH! '5.! ($-! *7%5(%5:! Q%((-&+! 1$-! .-(-#(7&! %2! '22/8-.! (7! A-! '5!
T0>R!@%($!"_!r8!*%L-,2!F2--!^k+=!67&!.-('%,2G+!
!1$-! @'B-,-5:($! &'5:-! Fg8%5H! g8'LG! '5.! ($-! (%8-! *-&! 2%5:,-! -L*72/&-! F$"G! '&-! ',27!
2*-#%6%-.+!=5!;E!87.-H!($-!#7.-!@%,,!',27!*&78*(!($-!/2-&!67&!'5!%8':%5:!6%,(-&!($&7/:$*/(!
FC7/!#'5!-5(-&!"!%6!($-!6%,(-&!($&7/:$*/(!%2!',&-'.C!%5#,/.-.!%5!($-!(-,-2#7*-!#756%:/&'(%75!
6%,-V!($%2!@%,,!:%B-!'!@'&5%5:!8-22':-H!@$%#$!C7/!#'5!%:57&-!%6!C7/!%5(-5.!67&!57!'..%(%75',!
6%,(-&!,722-2!(7!A-!#752%.-&-.G+!
!1$-!&-'.!57%2-!6,77&!%2!%5!-66-#(%B-!-,-#(&752!&82!*-&!-L*72/&-+!<7&!44t2!($%2!%2!($-!
-5(%&-!&-'.!57%2-V!67&!S=>!.-(-#(7&2!($%2!%2!'..-.!%5!Y/'.&'(/&-!(7!($-!2('(%2(%#',!-&&7&!6&78!
&'8*!6%((%5:+!=5!*&%5#%*,-!($%2!%2!.-(-&8%5-.!AC!($-!&-'.7/(!87.-!'5.!($-!-L*72/&-!(%8-H!
A/(!'(!*&-2-5(!($%2!'5.!($-!.'&P!#/&&-5(!'&-!',,7@-.!(7!A-!/2-&!%5*/(2+!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
0!1$-!#$'&:-!.%66/2%75!,-5:($!%2!8-'2/&-.!(7!A-!"+_k!r8!AC!S+!I'&&75!%$("#H!W?/A*%L-,!
&-2*752-!8-'2/&-8-5(!76!5-'&O%56&'&-.!.-(-#(7&2HX!M/A+!J2(&75+!?7#+!M'#+!;;YDbpp{bkj!
F0\\kG+!1$-!2('5.'&.!.-B%'(%75!76!($-!2-#$!*&76%,-!%2!|a0!(%8-2!($-!.%66/2%75!,-5:($+!}2%5:!
($-!2-#$!*&76%,-!%52(-'.!76!'!R'/22%'5!@7/,.!%5#&-'2-!($-!`1<!AC!75,C!\+0n!'(!"!
#C#,-a'&#2-#!'5.!0n!'(!0!#C#,-2a'&#2-#!'(!($-!\+"_!'&#2-#!*,'(-!2#',-+!
]!1$-!'..%(%75',!S=>!.-(-#(7&!*'&'8-(-&2!'22/8-!'!&-'.!57%2-!76!0\!%h!*-&!4t?!'5.!'!
&-'.7/(!&'(-!76!"\\!PT9!67&!-'#$!76!]0!#$'55-,2+!
b!1$-!Tb>R!%2!'!5-@!.-(-#(7&!'5.!%2!57(!C-(!'(!1>E!p+!=(!%2!($-&-67&-!57(!A'2-,%5-.!67&!
;<=>?1+!1$-!*'&'8-(-&2!'A7B-!'&-!#752%.-&-.!&-'275'A,-!('&:-(2!67&!2/##-226/,!Tb>R!
.-B-,7*8-5(!*&7:&'8+!1$-C!'22/8-!($'(!($-!#$'&:-!.%66/2%75!&-8'%52!6%L-.!%5!*$C2%#',!
/5%(2!Fr8G!'5.!($'(!($-!&-'.!57%2-!*-&!4t?!&-8'%52!6%L-.!'(!0\!%h!*-&!4t?!F',($7/:$!($%2!%2!
57(!C-(!'#$%-B-.G+!1$-!&-'.7/(!&'(-!%2!P-*(!'(!"\\!PT9H!'5.!-%($-&!]0!7&!pb!#$'55-,2!'&-!
/2-.!F($-!,'((-&!%2!'5!7*-5!(&'.-!67&!($-!Tb>R!7*(%752G+!

!
"\!
!1$-! *72%(%75! 76! ($-! 7A2-&B'(%75! 75! ($-! 2PC! %2! &-Y/%&-.! %5! 7&.-&! (7! #',#/,'(-! ($-!
97.%'#',! 67&-:&7/5.! &'.%'(%75+! 1$%2! %5! *&%5#%*,-! &-Y/%&-2! ($-! -#,%*(%#! ,'(%(/.-! ~!'5.!($-!
.%66-&-5#-!%5!-#,%*(%#!,75:%(/.-2!76!($-!7A2-&B'(%75!'5.!($-!?/5H!ghg+!=5!.-6'/,(!87.-!($-!
,'((-&!%2!2-(!(7!c\fH!A/(!#'5!A-!%5.-*-5.-5(,C!2*-#%6%-.!%6!($-!-DIN_DLON!#78*%,'(%75!6,':!%2!
/2-.+!
!! 1$-! R','#(%#! ./2(! #7,/85! %2! 2*-#%6%-.! AC! ($-! #7,7&! -L#-22! CFDhEG+! J,,! 7/(*/(!
2-52%(%B%(%-2!'&-!Y/7(-.!%5!(-&82!76!-L(%5#(%75O#7&&-#(-.!F&'($-&!($'5!7A2-&B-.G!6,/L-2!'5.!
8':5%(/.-2+!=6!7A2-&B-.!6,/L!,%8%(2!'&-!.-2%&-.!F-+:+!67&!R','#(%#!7AQ-#(2!($'(!8'C!A-!%5!6&75(!
76!278-!7&!',,!76!($-!./2(!#7,/85H!7&!67&!#752%2(-5#C!@%($!7($-&!2/&B-C2!($'(!/2/',,C!Y/7(-!
2-52%(%B%(%-2!%5!7A2-&B-.!6,/L-2G!($-5!75-!2$7/,.!%5*/(!CFDhEG!e!\+!
! 1$-!5/8A-&!76!-L*72/&-2!%2!@-L*!Fp!%5!($-!'A7B-!-L'8*,-GV!($-!(7(',!W,%B-X!(%8-!%2!
@-L*$"+!
D. WL-specific inputs
!
1$-!;E!314!&-Y/%&-2!($&--!%5*/(2!6&78!($-!/2-&D!'!#/(!F8%5!75!($-!&-27,/(%75!6'#(7&!
F!76!($-!:','L%-2V!'!#/(!Z%H8'L!75!($-!-,,%*(%#%(C!-&&7&!Z%!76!:','L%-2!(7!A-!8-'2/&-.V!'5.!($-!
:','LC!#'(',7:!(7!/2-!(7!-2(%8'(-!27/&#-!.-52%(%-2+!3L'8*,-!%5*/(2!'&-D!
!
Enter minimum resolution factor: 0.4
Enter maximum ellipticity error: 0.2
Enter input galaxy catalog file: data/CMC1.dat
!
1$-!&-27,/(%75!6'#(7&!F!%2!.-6%5-.!75!'!2#',-!76!\!F:','LC!28',,!#78*'&-.!(7!($-!M?<G!(7!"!
F:','LC!,'&:-!#78*'&-.!(7!($-!M?<GV!($-!.-6%5%(%75!/2-.!$-&-j!%2!
!
€
R=1+EE50PSF
2
r
eff,gal
2
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#
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'
−1
.
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