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INFRARED UNITS

The infrared wavelength range has borrowed units from the surrounding optical and radio (submm) regimes. Both magnitude and flux representations are widely used. For the ISO proposals (scaled) SI units are required.

Flux density tex2html_wrap_inline1386 of a source is defined as the flux per unit frequency. Flux density is the physical unit used for point sources. The unit of flux density is Wm-2 Hz tex2html_wrap_inline1390 . For practical purposes in the infrared it is often convenient to scale this SI unit and use Jansky instead.

equation230

For extended objects, the surface brightness tex2html_wrap_inline1392 is used instead of flux density. Also background emission for e.g. point sources is expressed in brightness units. Brightness is defined as the flux density per unit solid angle. The unit of brightness is Wm tex2html_wrap_inline1388 Hz tex2html_wrap_inline1390 sr tex2html_wrap_inline1390 , but in practice it is often scaled to MJysr tex2html_wrap_inline1390 .

equation243

Flux density of a point source, in particular for a stellar object, is often given in magnitudes m. In the ISO wavelength range these units are mostly used for ground based measurements below 20 tex2html_wrap_inline1128 m. The conversion to or from magnitudes is performed via zero magnitude flux density tex2html_wrap_inline1406 , which depends on the wavelength and the photometric system used. Zero magnitude flux densities for ESO infrared filters J through Q are listed in Table 5. Magnitude m of a ground based observation can be converted into flux density with formula

equation256

 

Filter tex2html_wrap_inline1380 tex2html_wrap_inline1412 tex2html_wrap_inline1406
[ tex2html_wrap_inline1128 m] [ tex2html_wrap_inline1128 m] [Jy]
J 1.24 0.2 1587
H 1.64 0.3 1074
K 2.18 0.4 653
L' 3.76 0.7 253
M 4.69 0.5 150
N 10.3 5.2 29.4
N tex2html_wrap_inline1430 8.38 0.8 48.7
N tex2html_wrap_inline1432 9.67 1.6 34.9
N tex2html_wrap_inline1434 12.9 3.7 19.7
Q 18.6 5.6 9.5
Table 5: Zero magnitude flux densities tex2html_wrap_inline1406 in the ESO infrared filters. N tex2html_wrap_inline1430 , N tex2html_wrap_inline1432 and N tex2html_wrap_inline1434 are narrow band filters to trace the dust features around 10 tex2html_wrap_inline1128 m.

 

For spectroscopic measurements, the total flux F of a line is often the most interesting quantity. A flux calibrated spectrum may be presented in the form of flux density tex2html_wrap_inline1440 as a function of wavelength tex2html_wrap_inline1380 . Flux F of a line in interest can be obtained by subtracting an appropriate continuum flux density level of the spectrum before integrating over the entire line in wavelength tex2html_wrap_inline1380 . The unit of flux is Wm-2.


next up previous contents
Next: ASTRONOMICAL BACKGROUND RADIATION Up: INFRARED ASTRONOMY FROM SPACE Previous: INTRODUCTION

ISO Science Operations Team
Tue Aug 6 11:04:33 MET DST 1996