next up previous contents
Next: 2.3.1 Low-Dispersion Mode Up: 2 Description of IUE Previous: 2.2 Spectrograph Geometry

2.3 Instrumental Resolution

The instrumental resolution (both spectral and spatial) is a convolution of the camera resolution, dispersion mode, spectrograph entrance aperture, telescope focus, and spacecraft pointing stability. While the dominant effect is due to the camera, telescope focus and spacecraft pointing stability also play a major role in defining the resolution. In addition, it is well known that the camera resolution is highly wavelength dependent. According to the IUE Camera Users Guide (Coleman et al. 1977), the camera point spread function (PSF) consists of a narrow gaussian-like core having a full width at half maximum (FWHM) of 2 to 5 pixels and a weak long-range tail. The actual resolution in either the spatial or spectral direction can be defined as a function of the FWHM. The Rayleigh criterion of instrumental resolution specifies that two spectra (spatial direction) or two spectral features (spectral direction) can be resolved provided their separation is as follows (Weinstein and Pérez 1992):

\begin{displaymath}
d \geq 0.849 \times FW\!H\!M \end{displaymath}

where d is the distance separating the two features (or spectra). The gaussian fitting routine used in this analysis was GAUSSFITS, taken from the IUE Data Analysis Center software library. This procedure outputs the one-sigma width of the fitted gaussian profile which was then converted to FWHM using the statistical equality (Bevington 1969):

\begin{displaymath}
FW\!H\!M = 2.3548 \times \sigma\end{displaymath}



 
next up previous contents
Next: 2.3.1 Low-Dispersion Mode Up: 2 Description of IUE Previous: 2.2 Spectrograph Geometry
Karen Levay
12/4/1997