Convolution algorithm for the Lorentz function

Shepard A. Clough, Francis X. Kneizys · Applied Optics · 1979

An algorithm for the accelerated convolution of the Lorentz function with spectral line data has been developed. The method involves the decomposition of the Lorentz function into subfunctions spanning finite domains. The subfunctions are convolved independently with line data at appropriate sampling intervals. The spectral absorption is obtained by superposition of the independent convolutions. A criterion for the specification of the sampling interval is described.

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