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Bouguer’s Law and Heterochromatic Radiation

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Abstract

A problem of importance in radiation studies is that of defining the relationship of flux to distance traversed by a unidirectional beam of radiation in an attenuating medium. If the beam is monochromatic, the relationship is given by the Bouguer equation i = i0ekm, or i = i0tm, where i is the flux of the beam at distance m from the beginning of the attenuating medium; i0 is the original or “primative” flux, corresponding to m equal to zero; t is the transmissivity, equal to ek, where k is the attenuation coefficient. A method of computing i0 for heterochromatic radiation (having a logical basis in the Bouguer equation) is developed which involve measurements of the total heterochromatic beam, no spectrometer measurements being involved. Theoretical accuracy is sampled.

© 1962 Optical Society of America

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