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SPICE Mie [mi:]
Dmitry Chirkin, UW Madison
Updates to ppc and spicePPC:
• Randomized the simulation based on system time (with us resolution)• Added the implementation of the simple approximate Mie scattering function• New oversized DOM treatment (designed for minimum bias compared to oversize=1):
oversize only in direction perpendicular to the photon time needed to reach the nominal (non-oversized) DOM surface is added re-use the photon after it hits a DOM and ensure the causality in the flasher simulation
Spice:
• Fixed code determining the closest DOMs to the current layer (when using tilted ice)• Perform simultaneous global fit for py, time offset, scattering vs. absorption correlation coeff.• Optimize use of high-event flasher simulation: use 250-event simulation in the dust peak, 10 elsewhere. Eventually use 250-event simulation for the entire depth range.
nominal DOMoversized DOM
oversized ~ 5 times
phot
on
Timing of oversized DOM MC
xR=1defaultdo not track back to detected DOMdo not track after detectionno ovesize delta correction!do not check causalitydel=(sqrtf(b*b+(1/(e.zR*e.zR-1)*c)-D)*e.zR-hdel=e.R-OMR
Flashing 63-50 63-48
64-48
64-52
xR=1
default
Simplified Mie Scattering
Single radius particles, described better as smaller angles by SAM
Also known as the Liu scattering function
Introduced by Jon Miller
New approximation to Mie
fSAM
Dependence on g=<cos()> and fSAM
g=<cos()> fSAM
0.8 00.9 00.95 0
0.9 0.30.9 0.50.9 1.0
flashing 63-50 64-50
New global fit to everything in SPICE
1. For some starting values, find best values of sca ~ abs.
2. Find best values of py, toff, fSAM, sca, abs, llhtot, …
py photon yield factor
toff global time offset (rising edge of the flasher pulse)
fSAM fraction of SAM contribution to the scattering function
sca scaling of scattering coefficient
abs scaling of absorption coefficient
3. Repeat until converged (~3 iterations)
4. Refine the fit with sca and abs independent from each other
Charge only
Ful
l lik
elih
ood
with
tim
ing
Verification with toy simulation
Input table
Simulated60 x 250 events
Reconstructed table
with 10 event/flasher
250 event/flasherIn the dust peak
Correlation with dust logger
With 10 events/flasher, 250 in dust peakWith 250 events/flasher everywhere
Plots for individual flashers
SPICE Mie
AHA
Plots for CORSIKA/data SPICE Mie
AHA
Plots from Anne (CORSIKA IC40)
Plot from Jacob Feintzeig
SPICE Mie: ice coefficients
“unresolved” systematics: resolved
Minimum is in the same place with both likelihoods!
Conclusions
SPICE Mie is great
fits timing perfectly!
SPICE paper is available (v. 0.01)
please comment