Improvements to photometry VI. Passbands and transformations

Details Improvements to photometry VI. Passbands and transformations Improvements to photometry VI. Passbands and transformations

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...288..683y&link_type=abstract

Astronomy and Astrophysics 288, 683-696 (1994)

Astronomy and Astrophysics

Astrophysics

6

Instrumentation: Photometers, Methods: Data Analysis, Techniques: Photometric

Scientific paper

Transformation errors can be understood more easily by regarding both instrumental response functions and stellar spectra as vectors in Hilbert space: a photometric measurement corresponds to the orthogonal projection of a stellar spectral-irradiance vector on a response-function vector. This simple geometric interpretation illuminates several problems connected with photometric transformations. Conformity errors are due to the projection of an instrument's response functions on the orthogonal complement of the subspace spanned by the standard system's response vectors. To minimize transformation errors, the angle between instrumental and standard passbands must be kept small; instrumental bands must be closely matched to the standard passband profiles in the least-squares sense. From a practical point of view, extreme care must be used to match passbands where the profiles are steepest, and steep-sided filters should be avoided. Filters should be specified by actual transmission, not by glass type and thickness. Perfect, linear intensity transformations between systems are possible if, and only if, the bands of one system are linear combinations of the bands of the other. Meeting this condition requires smooth, overlapping bands, just as was expected from the sampling theorem. Some examples of band-matching are given.

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