Abstract

A method is presented for correcting the function g(x) which results when measurements on a wanted function f(x) are subject to instrumental broadening. The essence of the method lies in its simplicity, which especially suits it for application to the correction of stellar molecular spectra and similar cases where the complexity or quality of the data does not warrant undue expenditure of effort.

As a basis for the method, the paper establishes a finite-difference solution of the integral equation in the form

g+ΣUnΔng.

From this it is deduced that the correction to the curve g at the point P is proportional to the amount by which the mid-point of a certain chord falls below P. Both the span of the chord and the constant of proportionality are independent of the abscissa x; they may be calculated from the instrumental profile.

© 1955 Optical Society of America

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