Spectrum Analysis Amplitude anSpectrum Analysis Amplitude and Frequency Modulation
LAL Structure and Implementing spin effect for amplitude correction
description
Transcript of LAL Structure and Implementing spin effect for amplitude correction
LAL Structure and Im-plementing spin effect for amplitude correction
Hyung Won Lee(Inje), Chunglee Kim(SNU), and Jeongcho Kim(Inje)29-30 Nov. 2013, Seoul National University
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Contents
LAL Structure Spin effect on the amplitude correc-
tion Implementing spin effect Some results and comparison with
TaylorF2 Discussions and future works
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LAL Structure LAL Suite
LAL LALFrame LALMetaIO LALXML LALSimulation LALBurst LALInspiral LALPulsar LALInference LALStochastic LALApps
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LAL Package
Package LAL Standard Package General Package General Mathematics and Signal Analysis
Package Core Data Analysis Package Burst Package Inspiral Package Pulsar Package Stochastic Package
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LAL Standard Package
Std : contains headers providing ba-sic datatypes, constants, and macros that support the LAL standard.
Sample : contains templates for LAL headers and modules, as well as fully - autodocumenting example program based on the primer in the std package.
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LAL Standard Package - std LAL datatypes.h
Primitive datatypes▪ Atomic datatypes▪ Complex datatypes
Aggregate datatypes : Store arbitrarily large sets or collections of primitive datatypes. aggregate datatypes are defines : vectors, arrays, se-quences, vector sequences, and array sequences.
Structured datatypes : embed primitive and ag-gregate datatypes inside structures that define their physical meaning.
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General Package
Date : providing routines related to date and time manipulations.
Factories : providing routines for cre-ating ad destroying the LAL aggre-gate datatypes.
Tools : contains the general purpose LAL tools.
Vectorops : contains routines or ma-nipulating vectors.
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General Mathemaica and Sig-nal Analysis Packages fft : contains various routines for per-
forming FFTs. stats : contains statistical routines. tdfilter : covers LAL routines for con-
structing and applying digital time-do-main filters.
utilities : contains various numerical utilities or use in LAL
window : contains a function to create a vector containing a window
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Core Data Analysis Package inject : provides routines to simulate
gravitational waves and their effect on a detector.
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Schematic Diagram of Direc-tory Structure This diagram showing the directory structure of the LAL.
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LAL Development tools
autoconfig automake
./00boot ./configure ./make ./make install
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Affected directory
LALsimulation directory LALSimInspiral.h LALSimInspiral.c LALSimInspiralTaylorF2Amp.c
(added)
generate_hf.c Standalone main program to get tem-
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Used data structure
COMPLEX16FrequencySeries XLALCreateCOMPLEX16Frequency-
Series() XLALDestroyCOMPLEX16Frequency-
Series()
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Spin effect on the amplitude correction
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Geometry
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Basic variable defini-tions
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Stationary-Phase Approxima-tion ,
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Time-domain strain
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Frequency-domain strain
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Frequency-domain strain
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Coefficients
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Coefficients
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Coefficients
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Coefficinets
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Coefficients
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SPA Phase up to 2.5PN
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SPA Phase
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SPA Phase up to 3.5PN
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Implementing Spin Ef -fect LALSimInspiral.h LALSimInspiral.c LALSimInspiralTaylorF2Amp.c
generate_hf.c
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LALSimInspiral.h
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LALSimInspiral.c
int XLALSimInspiralChooseFDWave-form()
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LALSimInspiralAmp.c
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LALSimInspiralTaylor-F2Amp.c sf2_spin_corr_amp
sf2_spin_corrections_amp() Calculate SPA phase
REAL8 sf2_psi_SPA() Calculate SPA phase up to 3.5 PN
COMPLEX16 sf2_amp_SPA_plus() Calculate for
COMPLEX16 sf2_amp_SPA_cross() Calculate for
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generate_hf.c
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Some results and comparison with TaylorF2 Polarization : 5.369755 rad () Frequency bin size : 1Hz R.A. of source : 0.57474689525 rad () dec of source : 0.648522019386 rad () Inclination : 0.785 rad () M1 : 1.4 M_sun / 10 M_sun M2 : 1.4 M_sun / 1.4 M_sun Distance : 4.0 Mpc / 23.1 Mpc S1 and S2 : (0, 0, 0) LN : (0,0,1) PN order : 3.5PN
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Some Results
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Some Results
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Some Results
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Some Results
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Some Results
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Some Results
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Some Results
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Some Results
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Discussions and future works Wiggling features are not sinusoidal Asymmetric mass waveform are
much oscillating with frequency Some artificial(?) discontinuity
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