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5.8 Surface Brightness Derivation

The flux calibration of the SWS instrument has been derived by positioning well known calibration point-like sources at the nominal centre of the instrument beam. The calibration is therefore directly applicable only for point source observations. For extended sources the measured signals have to be converted to surface brightness values rather than flux values.

The derivation of extended source flux from a point source calibration is given by;

$\displaystyle I_{\nu} = \frac{F_{\nu}} {\int_{-\infty}^{+\infty} BP(y,z)\,dydz} ~~~~({\rm MJy\,sr^{-1}})$ (5.3)

where $ F_{\nu}$ is the (point source) flux density at the frequency $ \nu$ and $ BP(y,z)$ is the detector's Beam Profile, normalised to the value at the position in which the flux calibration has been derived, nominally the (0,0) position. The variables y and z are angles with respect to the spacecraft Z and Y axes.

Table 5.4 lists the conversion factors obtained by integrating the measured SWS beam profiles, according to Equation 5.3. These conversion factors are estimated to be accurate within 10%.


Table 5.4: SWS Flux conversion factors for extended sources
  Wavelength Conversion factor
Band [$ \mu $m] [Jy] to [MJysr$ ^{-1}$]
1A 2.48 139
1B 2.87 134
1D 3.08 132
1E 3.8 132
2A 4.7 115
2B 5.9 118
2C 7.7 117
2C´ 11 114
3A 14 107
3C 17 105
3D 20 97
3E 28.5 65
4 30.9 45
40 42


next up previous contents index
Next: 5.9 The SWS Error Up: 5. Photometric Calibration Previous: 5.7 Signal to Flux
ISO Handbook Volume V (SWS), Version 2.0.1, SAI/2000-008/Dc