This paper describes a method to design a numerical filter that is used in a spectro scopic method of an air-pollution monitoring with pulsed laser light. The principle employed is an extention of the least square method and is stated in terms of the linear algebra, where the introduction of a notion, adjoint spectra, lends a mean to modify the numerical filter under a visualized process so that it becomes insensitive for designated interferences.
The notion of the adjoint spectra also gives a strategy for the pulse number allotment over multiple wavelength to reduce fluctuation in results.
Two applications are tried, to a method to analyze Raman scattering of Nd: YAG laser light, and to the method to measure the optical thickness of the polluted atmosphere over a short path using a tunable dye laser.
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