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B-fields in PWNe – 1 / 31
Magnetic Fields inPulsar Wind Nebulae:
an observer’s point of view
Dr. Roland Kothes
Dominion Radio Astrophysical ObservatoryEmergin Technologies – National Science Infrastructure
National Research Council of Canada
Mainz, July 12, 2012
——————————————————————————
Collaborators
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 2 / 31
� Wolfgang Reich (MPIfR)� Tom Landecker (DRAO)� Samar Safi-Harb (University of Manitoba)� Zaven Arzoumanian (Arecibo Observatory)� Heather Matheson (University of Manitoba)� Konstantin Fedotov (University of Western Ontario)
Overview
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 3 / 31
Introduction to PWNe
Observations of PWNe
Preliminary Simulations of PWNe
The Evolution of PWNe
Gedankenexperiment: Very Old PWNe
Summary
Outlook
Pulsar Wind Nebulae
B-fields in PWNe – 4 / 31
Pulsar Wind Nebulae
B-fields in PWNe – 4 / 31
Pulsar Wind Nebulae
B-fields in PWNe – 4 / 31
Ω
B
E = E0
(1 + t
τ0
)− (n=1)(n−1)
� Btor(r) ∼ r−1
� Brad(r) ∼ r−2
Pulsar Wind Nebulae
B-fields in PWNe – 4 / 31
G319.9-0.7
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 5 / 31
Ng et al., 2010
Vela
B-fields in PWNe – 6 / 31
(Dodson et al., 2003)
� B-field from PA: toroidal
� RM structure: radial/dipolar (significant internal RM)
(Helfand et al., 2001)
G106.3+2.7: The Boomerang
B-fields in PWNe – 7 / 31
(Kothes et al., 2006)
� B-field from PA: toroidal
� RM structure: radial/dipolar (significant internal RM)
Crab Nebula
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 8 / 31
(Reich, 2002)
� B-field from PA: complex
� RM structure: ? (negligible internal RM)
(Weisskopf et al., 2000)
Crab Nebula
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 9 / 31(Bietenholz & Kronberg, 1991)
3C58
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 10 / 31
(Reich, 2002)
� B-field from PA: complex, not toroidal
� RM structure: ? (negligible internal RM)
(Slane et al., 2004)
G21.5-0.9
B-fields in PWNe – 11 / 31
(Furst et al., 1988; Reich, 2002)
� B-field from PA: radial
� RM structure: ?
(Safi-Harb et al., 2001)
G63.7+1.1
B-fields in PWNe – 12 / 31
(Kothes et al., 2012, in prep.)
� B-field from PA: radial
� RM structure: radial? (significant internal RM)
G54.1+0.3
B-fields in PWNe – 13 / 31
(Ng et al., 2010)
� B-field from PA: radial
� RM structure: radial? (significant internal RM)
DA 495
B-fields in PWNe – 14 / 31
(Kothes et al., 2008)
� B-field from PA: dipolar
� RM structure: dipolar (significant internal RM)
G76.9+1.0
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 15 / 31
Kothes et al., 2012, in prep.
PWN Observations: Summary
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 16 / 31
� We found toroidal and radial B-field structures� Radial B-fields dominate PA and RM� Some PWNe show low, some high internal RM
⇒ Where do the thermal electrons come from?� Observations are not consistent with wind scenario
predicted by theory:
� Btor(r) ∼ r−1
� Brad(r) ∼ r−2
Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 17 / 31
� spherical nebula of relativistic particles
Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 17 / 31
� spherical nebula of relativistic particles� insert magnetic fields of different structure
Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 17 / 31
� spherical nebula of relativistic particles� insert magnetic fields of different structure� simulate the synchrotron emission of this nebula
using simple equations:
� Sν = K B12 (δ+1)⊥ ν−1
2 (δ−1),N(E)dE =K E−δdE
� Δφλ = RMλ2, RM = 0.81∫
l B‖nedl
Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 17 / 31
� spherical nebula of relativistic particles� insert magnetic fields of different structure� simulate the synchrotron emission of this nebula
using simple equations:
� Sν = K B12 (δ+1)⊥ ν−1
2 (δ−1),N(E)dE =K E−δdE
� Δφλ = RMλ2, RM = 0.81∫
l B‖nedl
� computing observations of this nebula
Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 17 / 31
� spherical nebula of relativistic particles� insert magnetic fields of different structure� simulate the synchrotron emission of this nebula
using simple equations:
� Sν = K B12 (δ+1)⊥ ν−1
2 (δ−1),N(E)dE =K E−δdE
� Δφλ = RMλ2, RM = 0.81∫
l B‖nedl
� computing observations of this nebula� rotation angle Θ: angle between plane of the sky
and pulsar spin axis
Pure Toroidal Field
B-fields in PWNe – 18 / 31
Θ = 0◦
Pure Toroidal Field
B-fields in PWNe – 18 / 31
Θ = 30◦
Pure Toroidal Field
B-fields in PWNe – 18 / 31
Θ = 60◦
Pure Toroidal Field
B-fields in PWNe – 18 / 31
Θ = 90◦
Toroidal + Radial Field
B-fields in PWNe – 19 / 31
Θ = 0◦
Toroidal + Radial Field
B-fields in PWNe – 19 / 31
Θ = 30◦
Toroidal + Radial Field
B-fields in PWNe – 19 / 31
Θ = 60◦
Toroidal + Radial Field
B-fields in PWNe – 19 / 31
Θ = 90◦
Toroidal + Radial Field
B-fields in PWNe – 20 / 31
Θ = 0◦
Toroidal + Radial Field
B-fields in PWNe – 20 / 31
Θ = 30◦
Toroidal + Radial Field
B-fields in PWNe – 20 / 31
Θ = 60◦
Toroidal + Radial Field
B-fields in PWNe – 20 / 31
Θ = 90◦
Evolution of PWNe
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 21 / 31
Young PWN: 3C58
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 22 / 31Wilson & Weiler, 1976: 1.4 GHz
Evolution of PWNe
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 23 / 31
Evolved PWNe: DA 495 + G63.7+1.1
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 24 / 31
Gedankenexperiment: DA 495
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 25 / 31
Extrapolating the evolution of DA 495:
� Let us evolve the flux density and the magnetic fieldinto the future, assuming constant energy.
Gedankenexperiment: DA 495
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 25 / 31
Extrapolating the evolution of DA 495:
� Let us evolve the flux density and the magnetic fieldinto the future, assuming constant energy.
� If we expand DA 495 it would become invisible whenwe double its size, in either direction.
Gedankenexperiment: DA 495
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 25 / 31
Extrapolating the evolution of DA 495:
� Let us evolve the flux density and the magnetic fieldinto the future, assuming constant energy.
� If we expand DA 495 it would become invisible whenwe double its size, in either direction.
� This would result in an invisible object that stillproduces a Faraday rotation of 60 - 80 rad/m2 forpolarized emission coming from its background.
Gedankenexperiment: DA 495
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 26 / 31
Summary
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 27 / 31
� PWNe seem to contain radial and toroidal B-fields,but radial field dominates.
� The typical magnetic field model for stellar winds isnot sufficient to explain the observations.
� Faraday rotation seems to significantly increase,because the reverse shock pushes the ejecta backinto the PWN.
� Very old PWNe will turn into objects that cannot beseen in emission and may become Faraday lenses.
Outlook: Simulations
B-fields in PWNe – 28 / 31
Outlook: Simulations
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 29 / 31
Outlook: 3C58
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 30 / 31Wilson & Weiler, 1976: 1.4 GHz
Outlook: Lenses
Introduction to PWNe
Observations of PWNe
Preliminary Simulationsof PWNe
The Evolution of PWNe
Gedankenexperiment:Very Old PWNe
Summary
Outlook
B-fields in PWNe – 31 / 31