X-ray polarization as a tool to understand coronae in accreting - - PowerPoint PPT Presentation

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X-ray polarization as a tool to understand coronae in accreting - - PowerPoint PPT Presentation

Nov 25, 2022 104 likes •301 views

X-ray polarization as a tool to understand coronae in accreting sources Francesco Tamborra collaborators: G. Matt, S. Bianchi, R. Goosmann M. Bursa, M.Dovciak Alsatian workshop on X-ray polarimetry - Strasbourg, 13th-15th/11/2017 Outline

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SLIDE 1

Alsatian workshop on X-ray polarimetry - Strasbourg, 13th-15th/11/2017

Francesco Tamborra

collaborators:

  • G. Matt, S. Bianchi, R. Goosmann
  • M. Bursa, M.Dovciak

X-ray polarization as a tool to understand coronae in accreting sources

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SLIDE 2

Outline

  • MoCA in a nutshell
  • X-ray polarization is complex
  • The theoretical signal in difgerent scenarios
  • Observational prospects
  • Conclusions & Future developments
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SLIDE 3

MoCA: a Monte Carlo code for Comptonization in Astrophysics

  • single-photons source-to-observer class (Fortran2003)
  • complete special relativistic and quantum treatment of Comptonization

(Maxwell-Juttner distribution, KN cross-section & scattering angle distribution)

  • complete GR description

(N-T disk, ray-tracing A-to-B, frame dragging)

  • parallelisation & interoperability with C
  • modular and easily customisable
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SLIDE 4

1000 x tau tau tau

Geometries in this talk

SLAB SPHERE

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SLIDE 5

MBH = 10 Msun mdot = 0.1 (Edd) a = 0 / 0.998 limb darkening ON/OFF

source parameters corona parameters

kT = 100 keV geometry SLAB/SPHERE tau = 0.5/1/2

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SLIDE 6

MBH = 10 Msun mdot = 0.1 (Edd) a = 0 / 0.998 limb darkening ON/OFF

source parameters corona parameters

kT = 100 keV geometry SLAB/SPHERE tau = 0.5/1/2

0.000001 0.000010 0.000100 0.001000 0.010000 0.100000 1.000000 0.01 0.1 1 10 100 1000 E x I(E) [arbitrary units] Energy [keV] BHB Spectrum (a00, mdot01, MBH10 ) 10-1000 corona tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

ON SLAB 1

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SLIDE 7
  • 10

10 20 30 40 50 60 70 80 90 100 0.2 0.4 0.6 0.8 1 Polarization Agnle [deg] µ Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

X-ray pol is complex

a0 limb / SLAB tau1

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SLIDE 8
  • 10

10 20 30 40 50 60 70 80 90 100 0.2 0.4 0.6 0.8 1 Polarization Agnle [deg] µ Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

X-ray pol is complex

a0 limb / SLAB tau1

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SLIDE 9
  • 10

10 20 30 40 50 60 70 80 90 100 0.2 0.4 0.6 0.8 1 Polarization Agnle [deg] µ Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

X-ray pol is complex

a0 limb / SLAB tau1

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SLIDE 10
  • 10

10 20 30 40 50 60 70 80 90 100 0.2 0.4 0.6 0.8 1 Polarization Agnle [deg] µ Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total 1 2 3 4 5 6 7 8 9 10 0.2 0.4 0.6 0.8 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization Angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb unscattered 1 scatt 2 scatt 3 scatt 4 scatt 5 scatt >5 scatt total

X-ray pol is complex

a0 limb / SLAB tau1

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SLIDE 11
  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg

a0 limb / SLAB tau1

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SLIDE 12
  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH10 ) 10-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH10 ) 1000-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH10 ) 1000-1000 tau1 kT100 - limb 75 deg 60 deg 45 deg

a0 limb / SLAB tau1 a0 limb / SPHERE tau1

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SLIDE 13
  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH1e7 ) 10-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH1e7 ) 10-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a0998, mdot01, MBH1e7 ) 10-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a0998, mdot01, MBH1e7 ) 10-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2

SLAB a0 - tau 05/1/2 - limb ON/OFF SLAB a0998 - tau 05/1/2 - limb ON/OFF

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SLIDE 14
  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a00, mdot01, MBH1e7 ) 1000-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a00, mdot01, MBH1e7 ) 1000-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 1 10 100 Polarization angle [deg] Energy [keV] Pol Angle (a0998, mdot01, MBH10 ) 1000-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2 1 2 3 4 5 6 7 8 9 10 0.1 1 10 100 Polarization Degree [%] Energy [keV] Pol Degree (a09980, mdot01, MBH10 ) 1000-1000 kT100 - 75 deg tau 05 limb tau 05 tau 1 limb tau 1 tau 2 limb tau 2

SPHERE a0 - tau 05/1/2 - limb ON/OFF SPHERE a0998 - tau 05/1/2 - limb ON/OFF

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SLIDE 15
  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a00, mdot01, MBH10 ) tau05 kT100 SPHERE limb - a0 SPHERE - a0 SLAB limb - a0 SLAB - a0

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a0998, mdot01, MBH10 ) tau05 kT100 SPHERE limb - a0998 SPHERE - a0998 SLAB limb - a0998 SLAB - a0998 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) tau05 kT100 SPHERE limb - a0 SPHERE - a0 SLAB limb - a0 SLAB - a0 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a0998, mdot01, MBH10 ) tau05 kT100 SPHERE limb - a0998 SPHERE - a0998 SLAB limb - a0998 SLAB - a0998

tau 05 a0 a0998

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SLIDE 16

tau 1 a0 a0998

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a00, mdot01, MBH10 ) tau1 kT100 SPHERE limb - a0 SPHERE = a0 SLAB limb - a0 SLAB - a0

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a0998, mdot01, MBH10 ) tau1 kT100 SPHERE limb - a0998 SPHERE = a0998 SLAB limb - a0998 SLAB - a0998 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) tau1 kT100 SPHERE limb - a0 SPHERE - a0 SLAB limb - a0 SLAB - a0 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a0998, mdot01, MBH10 ) tau1 kT100 SPHERE limb - a0998 SPHERE - a0998 SLAB limb - a0998 SLAB - a0998

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SLIDE 17

tau 2 a0 a0998

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a00, mdot01, MBH10 ) tau2 kT100 SPHERE limb - a0 SPHERE = a0 SLAB limb - a0 SLAB - a0

  • 10

10 20 30 40 50 60 70 80 90 100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization angle [deg] µ Pol Angle (a0998, mdot01, MBH10 ) tau2 kT100 SPHERE limb - a0998 SPHERE = a0998 SLAB limb - a0998 SLAB - a0998 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a00, mdot01, MBH10 ) tau2 kT100 SPHERE limb - a0 SPHERE - a0 SLAB limb - a0 SLAB - a0 1 2 3 4 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Polarization Degree [%] µ Pol Degree (a0998, mdot01, MBH10 ) tau2 kT100 SPHERE limb - a0998 SPHERE - a0998 SLAB limb - a0998 SLAB - a0998

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SLIDE 18

Conclusions & Future Developments

X-ray polarization has the potential to discriminate (certain) geometries even w/o exploiting the spectral capabilities of future polarimeters (IXPE, eXTP) If the data will be in very high quality it has the potential to even constrain the spin of the BH While waiting for 2021…

  • Develop more realistic models (i.e. compact corona) and explore all the

parameters space

  • Apply MoCA to difgerent interesting astrophysical case of study (e.g. GRB)
  • Investigate the impact of polarization on corona/disc feedback (partially

underway)