酉入奎至七年三月辛玄万敬韶兴八年五月宇来我十一日没三年三月乙巴出東南方大中祥特四前星西北大如桃速行經軒辣太星人太機垣播稍日年正月丁丑见南十魁前天禧五年四月丙辰出轩法把文出参度中把掩侧星壬子犯九游星十二月条加文月乙至大敬三年1PTAandGW-和将蟹屏星西北凡七十五日入渴福巴出東北detection元+年五月年六月丙辰出箕度中至七月--- Lecture月月己五出天开东南可方近满有芒琴至丁已宁未出天因元祐六年K.J.Lee（李柯伽）Max-PlanckInstituteforRadioastronomykjlee007@gmail.com-没年教Aug.2013凡明十创中9R十云t
PTA and GW detection - Lecture K. J. Lee (李柯伽) Max-Planck Institute for Radio astronomy kjlee007@gmail.com Aug. 2013
OutlinePulsartimingarrayBasicphysics about GWPulsartimingresponsetoGWDetectGWbackgroundDetect single sourcePractical aspects of pulsar timing arrayCurrent status of PTAprojectsIPTA data challengeOutlook
Outline ⚫ Pulsar timing array ⚫ Basic physics about GW ⚫ Pulsar timing response to GW ⚫ Detect GW background ⚫ Detect single source ⚫ Practical aspects of pulsar timing array ⚫ Current status of PTA projects ⚫ IPTA data challenge ⚫ Outlook
Timing techniquesRotationaxisMeanpulseprofileReferenceclockTOATelescopeNeutron starRadiobeamNDe-dispersion&on-linefoldingReceiver
Timing techniques
Example of PTA dataMillisecondpulsararestablennaPulsar timing data areCs5071AaFO2-F1clocksdPSRJ0437-4715o1.Two parts:TOA and parameter0437-4715cALATLAAI-AT10y2. Non-stationary3.systematics affected2000200620080042008oeDSRJT90937.44PSR1200FSR11939+214PSRPSRJ214510-410r10Integrationtime[s]19962000200620080002002001Hartnett&Luiten.2011Verbiestetal.2009
Example of PTA data Verbiest et al. 2009 Millisecond pulsar are stable. Hartnett & Luiten. 2011 Pulsar timing data are 1. Two parts: TOA and parameter 2. Non-stationary 3. systematics affected
Pulsar timing residualCountthepulseModel thefrequencywithpolynomialv(t) = Vo +io(t- to) +=io(t - t2+..2N=No+vo(t-to)+i(十一十N[t]-Int[N[t]]Residualdescribehow datadeviatesfromR[t]:thepulsarrotationmodel.ResidualVOincludesGWsignal,clocknoiseandotherinterestingsignals
Pulsar timing residual ⚫ Count the pulse ⚫ Model the frequency with polynomial Residual describe how data deviates from the pulsar rotation model. Residual includes GW signal, clock noise and other interesting signals