Lesson14 Band Model.pdf

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Influence of overlapConsider two identical lines within % . When completely separated:W 2 1 exp[ m( %)u] d % %When perfectly superimposed:W 1 exp[2 m( %)u] d % %If several lines contribute to the transmittance (absorptance) at a particularwavenumber , the total transmittance is the product of transmittances: njT b( %) exp[ m( %)u j] exp[ j jm( %)u j] T bj 1j 1j 1nn8
Line-By-Line (LBL) modelsMonochromatic optical path along inhomogeneous path:nnj( %) m( %, u )du m( %, p,T ) du S j( %,T )( %, p,T ) du uu j 1u j 1Need to resolve individual lines!The average spectral beam transmittance is: 1 %Mi1exp Lnl 1j 1 mj( % i, p l,T l)u l % iwhen broken to smaller paths that can beconsidered homogeneousLots of calculations!9
Page 4 and 5: Schematic for A
Page 6 and 7: Transmission in spectrally complex
Page 10 and 11: Transmission in spectrally complex
Page 12 and 13: Elsasser band model
Page 14 and 15: Statistical Band Model (Goody)• G
Page 16 and 17: Statistical Band Model (Goody)• F
Page 18 and 19: Statistical Band Model (Goody)• W
Page 20 and 21: K-Distribution Method: the conceptC
Page 22 and 23: Cumulative distributions and integr

Lesson14 Band Model.pdf

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