SPEX User's Manual - SRON

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4 CONTENTS 2.29 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.30 Use: reuse part of the spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.31 Var: various settings for the plasma models . . . . . . . . . . . . . . . . . . . . . 44 2.31.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.31.2 Syntax . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.31.3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.32 Vbin: variable rebinning of the data . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.33 Watch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3 Spectral Models 49 3.1 Overview of spectral components . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.2 Absm: Morrison & McCammon absorption model . . . . . . . . . . . . . . . . . . 49 3.3 Bb: Blackbody model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.4 Cf: isobaric cooling flow differential emission measure model . . . . . . . . . . . . 51 3.5 Cie: collisional ionisation equilibrium model . . . . . . . . . . . . . . . . . . . . . 51 3.5.1 Temperatures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 3.5.2 Line broadening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.5.3 Density effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.5.4 Non-thermal electron distributions . . . . . . . . . . . . . . . . . . . . . . 52 3.5.5 Abundances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.5.6 Parameter description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.6 Dbb: Disk blackbody model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.7 Delt: delta line model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 3.8 Dem: Differential Emission Measure model . . . . . . . . . . . . . . . . . . . . . 55 3.9 Dust: dust scattering model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.10 Etau: simple transmission model . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 3.11 Euve: EUVE absorption model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 3.12 File: model read from a file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.13 Gaus: Gaussian line model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.14 Hot: collisional ionisation equilibrium absorption model . . . . . . . . . . . . . . 58 3.15 Knak: segmented power law transmission model . . . . . . . . . . . . . . . . . . 58 3.16 Laor: Relativistic line broadening model . . . . . . . . . . . . . . . . . . . . . . . 59 3.17 Lpro: Spatial broadening model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.18 Mbb: Modified blackbody model . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.19 Neij: Non-Equilibrium Ionisation Jump model . . . . . . . . . . . . . . . . . . . . 61 3.20 Pdem: DEM models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 3.20.1 Short description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 3.21 Pow: Power law model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 3.22 Reds: redshift model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.23 Refl: Reflection model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 3.24 Rrc: Radiative Recombination Continuum model . . . . . . . . . . . . . . . . . . 64 3.25 Spln: spline continuum model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 3.26 Vblo: Rectangular velocity broadening model . . . . . . . . . . . . . . . . . . . . 66 3.27 Vgau: Gaussian velocity broadening model . . . . . . . . . . . . . . . . . . . . . 67 3.28 Vpro: Velocity profile broadening model . . . . . . . . . . . . . . . . . . . . . . . 67 3.29 Wdem: power law differential emission measure model . . . . . . . . . . . . . . . 68
CONTENTS 5 4 More about plotting 69 4.1 Plot devices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 4.2 Plot types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 4.3 Plot colours . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.4 Plot line types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.5 Plot text . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 4.5.1 Font types (font) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 4.5.2 Font heights (fh) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 4.5.3 Special characters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 4.6 Plot captions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 4.7 Plot symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 4.8 Plot axis units and scales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 4.8.1 Plot axis units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 4.8.2 Plot axis scales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 5 Response matrices 83 5.1 Respons matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 5.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 5.3 Data binning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 5.3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 5.3.2 The Shannon theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 5.3.3 Integration of Shannon’s theorem . . . . . . . . . . . . . . . . . . . . . . . 85 5.3.4 The χ 2 test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 5.3.5 Extension to complex spectra . . . . . . . . . . . . . . . . . . . . . . . . . 88 5.3.6 Difficulties with the χ 2 test . . . . . . . . . . . . . . . . . . . . . . . . . . 89 5.3.7 The Kolmogorov-Smirnov test . . . . . . . . . . . . . . . . . . . . . . . . 90 5.3.8 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 5.3.9 Final remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 5.4 Model binning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 5.4.1 Model energy grid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 5.4.2 Evaluation of the model spectrum . . . . . . . . . . . . . . . . . . . . . . 96 5.4.3 Binning the model spectrum . . . . . . . . . . . . . . . . . . . . . . . . . 97 5.4.4 Which approximation to choose? . . . . . . . . . . . . . . . . . . . . . . . 99 5.4.5 The effective area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 5.4.6 Final remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 5.5 The proposed response matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 5.5.1 Dividing the response into components . . . . . . . . . . . . . . . . . . . . 101 5.5.2 More complex situations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 5.5.3 A response component . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 5.6 Determining the grids in practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 5.6.1 Creating the data bins . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 5.6.2 creating the model bins . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5.7 Proposed file formats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 5.7.1 Proposed response format . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 5.7.2 Proposed spectral file format . . . . . . . . . . . . . . . . . . . . . . . . . 109 5.8 examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 5.8.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 5.8.2 Rosat PSPC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
Page 1: SPEX User’s Manual Jelle Kaastra
Page 6 and 7: 6 CONTENTS 5.8.3 ASCA SIS0 . . . .
Page 8 and 9: 8 Introduction 1.2.2 Sky sectors Fi
Page 10 and 11: 10 Introduction
Page 12 and 13: 12 Syntax overview Table 2.2: Abund
Page 14 and 15: 14 Syntax overview tcl: the continu
Page 16 and 17: 16 Syntax overview Examples calc -
Page 18 and 19: 18 Syntax overview by averaging the
Page 20 and 21: 20 Syntax overview dem gene #i1 #i2
Page 22 and 23: 22 Syntax overview distance om #r -
Page 24 and 25: 24 Syntax overview Examples elim 0.
Page 26 and 27: 26 Syntax overview This is strictly
Page 28 and 29: 28 Syntax overview Currently these
Page 30 and 31: 30 Syntax overview Syntax The follo
Page 32 and 33: 32 Syntax overview status, range an
Page 34 and 35: 34 Syntax overview par write mypar
Page 36 and 37: 36 Syntax overview plot box col #i
Page 38 and 39: 38 Syntax overview plot type data -
Page 40 and 41: 40 Syntax overview 2.26 Simulate: S
Page 42 and 43: 42 Syntax overview step axis 2 par
Page 44 and 45: 44 Syntax overview Examples use 100
Page 46 and 47: 46 Syntax overview width. On top of
Page 48 and 49: 48 Syntax overview
Page 50 and 51: 50 Spectral Models acronym pow delt
Page 52 and 53: 52 Spectral Models Finally, we have
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54 Spectral Models where Q is the l
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56 Spectral Models 3. set=3: for R
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58 Spectral Models 3.14 Hot: collis
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60 Spectral Models can be transform
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62 Spectral Models The emission mea
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64 Spectral Models 3.23 Refl: Refle
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66 Spectral Models • type=3: b 1
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68 Spectral Models 4.8, 4.9, 5.0 wi
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70 More about plotting Table 4.1: A
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72 More about plotting 4.4 Plot lin
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74 More about plotting Table 4.2: A
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76 More about plotting 4.6 Plot cap
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78 More about plotting 4.8 Plot axi
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80 More about plotting bin cou cs k
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82 More about plotting
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84 Response matrices models. Since
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86 Response matrices Table 5.1: Wei
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88 Response matrices Table 5.2: Sca
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90 Response matrices since the larg
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92 Response matrices Figure 5.1: Di
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94 Response matrices for the Cauchy
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96 Response matrices bin j of this
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98 Response matrices The approximat
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100 Response matrices particular bi
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102 Response matrices reduced by ab
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104 Response matrices where as befo
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106 Response matrices 5. Determine
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108 Response matrices practical pro
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110 Response matrices Table 5.10: T
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112 Response matrices Table 5.11: F
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114 Response matrices Figure 5.7: B
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116 Response matrices Table 5.15: R
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118 Response matrices
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120 Installation and testing
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122 Acknowledgements
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124 BIBLIOGRAPHY [2003] Peterson, J
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