Exploring Spin Effect on Amplitude Correction in Gravitational Wave Analysis
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This presentation focuses on the implementation of spin effects in amplitude correction within the LIGO Algorithm Library (LAL). We explore the structure of LAL, how spin effects influence amplitude corrections, and present some results compared to TaylorF2 waveforms. The discussion will include insights into future work and improvements in gravitational wave signal analysis, emphasizing the integration of LAL components, such as LALFrame, LALMetaIO, and various LAL packages designed for data analysis and simulation.
Exploring Spin Effect on Amplitude Correction in Gravitational Wave Analysis
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Presentation Transcript
HyungWon Lee(Inje), ChungleeKim(SNU), and Jeongcho Kim(Inje) 29-30 Nov. 2013, Seoul National University LAL Structure and Implementing spin effect for amplitude correction
Contents • LAL Structure • Spin effect on the amplitude correction • Implementing spin effect • Some results and comparison with TaylorF2 • Discussions and future works 5th Korea-Japan Joint Meeting on GW
LAL Structure • LAL Suite • LAL • LALFrame • LALMetaIO • LALXML • LALSimulation • LALBurst • LALInspiral • LALPulsar • LALInference • LALStochastic • LALApps 5th Korea-Japan Joint Meeting on GW
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 5th Korea-Japan Joint Meeting on GW
LAL Standard Package • Std : contains headers providing basic 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. 5th Korea-Japan Joint Meeting on GW
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, sequences, vector sequences, and array sequences. • Structured datatypes : embed primitive and aggregate datatypes inside structures that define their physical meaning. 5th Korea-Japan Joint Meeting on GW
General Package • Date : providing routines related to date and time manipulations. • Factories : providing routines for creating ad destroying the LAL aggregate datatypes. • Tools : contains the general purpose LAL tools. • Vectorops : contains routines or manipulating vectors. 5th Korea-Japan Joint Meeting on GW
General Mathemaica and Signal Analysis Packages • fft: contains various routines for performing FFTs. • stats : contains statistical routines. • tdfilter: covers LAL routines for constructing and applying digital time-domain filters. • utilities : contains various numerical utilities or use in LAL • window : contains a function to create a vector containing a window 5th Korea-Japan Joint Meeting on GW
Core Data Analysis Package • inject : provides routines to simulate gravitational waves and their effect on a detector. 5th Korea-Japan Joint Meeting on GW
Schematic Diagram of Directory Structure • This diagram showing the directory structure of the LAL. 5th Korea-Japan Joint Meeting on GW
LAL Development tools • autoconfig • automake • ./00boot • ./configure • ./make • ./make install 5th Korea-Japan Joint Meeting on GW
Affected directory • LALsimulation directory • LALSimInspiral.h • LALSimInspiral.c • LALSimInspiralTaylorF2Amp.c (added) • generate_hf.c • Standalone main program to get template 5th Korea-Japan Joint Meeting on GW
Used data structure • COMPLEX16FrequencySeries • XLALCreateCOMPLEX16FrequencySeries() • XLALDestroyCOMPLEX16FrequencySeries() 5th Korea-Japan Joint Meeting on GW
Spin effect on the amplitude correction 5th Korea-Japan Joint Meeting on GW
Geometry 5th Korea-Japan Joint Meeting on GW
Basic variable definitions 5th Korea-Japan Joint Meeting on GW
Stationary-Phase Approximation • , 5th Korea-Japan Joint Meeting on GW
Time-domain strain 5th Korea-Japan Joint Meeting on GW
Frequency-domain strain 5th Korea-Japan Joint Meeting on GW
Frequency-domain strain 5th Korea-Japan Joint Meeting on GW
Coefficients 5th Korea-Japan Joint Meeting on GW
Coefficients 5th Korea-Japan Joint Meeting on GW
Coefficients 5th Korea-Japan Joint Meeting on GW
Coefficinets 5th Korea-Japan Joint Meeting on GW
Coefficients 5th Korea-Japan Joint Meeting on GW
SPA Phase up to 2.5PN 5th Korea-Japan Joint Meeting on GW
SPA Phase 5th Korea-Japan Joint Meeting on GW
SPA Phase up to 3.5PN 5th Korea-Japan Joint Meeting on GW
Implementing Spin Effect • LALSimInspiral.h • LALSimInspiral.c • LALSimInspiralTaylorF2Amp.c • generate_hf.c 5th Korea-Japan Joint Meeting on GW
LALSimInspiral.h 5th Korea-Japan Joint Meeting on GW
LALSimInspiral.c • intXLALSimInspiralChooseFDWaveform() 5th Korea-Japan Joint Meeting on GW
LALSimInspiralAmp.c 5th Korea-Japan Joint Meeting on GW
LALSimInspiralTaylorF2Amp.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 5th Korea-Japan Joint Meeting on GW
generate_hf.c 5th Korea-Japan Joint Meeting on GW
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 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Some Results 5th Korea-Japan Joint Meeting on GW
Discussions and future works • Wiggling features are not sinusoidal • Asymmetric mass waveform are much oscillating with frequency • Some artificial(?) discontinuity 5th Korea-Japan Joint Meeting on GW