![]() ![]() The difference in energy characteristic of the two states X. For the last column it is assumed that the constants in the different line intensity distribution functions are correlated in the square-root region (see Sec. A useful memnonic trick is that e stands for extrapolated. For all columns except the last, the choice P( S)= δ( S− S 0) has been made for the line intensity distribution for the statistical model. Statistical model independent of choice of P( S)Ī The range of values of x= Su/2 πα is indicated where the absorption model or approximation named is valid with an error of less than 10%. Statistical model absorption A, greater than 90%Įlsasser model absorption, A, greater than 90% Statistical model product pu determines absorption ![]() (8), validĮlsasser model square-root approximation, Eq. Statistical model square-root approximation, Eq. © 1958 Optical Society of America Full Article |Īll models linear approximation, Eq. This result is used to derive the band absorption for the statistical model with Lorentz, Doppler, and other line shapes. The absorption from the statistical model including the effects of overlapping is shown to depend only on an average equivalent width for a single line. It is shown that the shape of the absorption curve obtained from the statistical model is independent of the distribution of line intensities in the band for most cases of interest. The absorption predicted by the statistical model when there is a specific number of spectral lines in the frequency interval under consideration is compared with the limit as the number of lines approaches infinity. Thus a continuous spectrum of absorption curves is obtained between the results for the Elsasser and the pure statistical models. The statistical model is extended to include the random superposition of a finite number of Elsasser bands. The regions of validity for various useful approximations to these models are also given. ![]() These models are compared with each other a derivation is given of the regions where they predict the same absorption. Note: Author names will be searched in the keywords field, also, but that may find papers where the person is mentioned, rather than papers they authored.Īn exhaustive, theoretical study is made of the various models that have been proposed to represent band absorption.Use a comma to separate multiple people: J Smith, RL Jones, Macarthur.Use these formats for best results: Smith or J Smith.For best results, use the separate Authors field to search for author names.Use quotation marks " " around specific phrases where you want the entire phrase only.Question mark (?) - Example: "gr?y" retrieves documents containing "grey" or "gray".Asterisk ( * ) - Example: "elect*" retrieves documents containing "electron," "electronic," and "electricity".Improve efficiency in your search by using wildcards.Example: (photons AND downconversion) - pump.Example: (diode OR solid-state) AND laser.Note the Boolean sign must be in upper-case. Separate search groups with parentheses and Booleans.Keep it simple - don't use too many different parameters. ![]()
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