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. ag-gregate datatypes are defines : vectors, arrays, sequences, vector sequences, and array se-quences.

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 Signal 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-

plate

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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 Approxi-mation

,

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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 compari-son 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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