Lesson14 Band Model.pdf

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K-Distribution Method: the conceptChoices for calculating spectral average beam transmittances:1. Line-by-Line (LBL): accurate, but lots of CPU2. <strong>Band</strong> models: fast, but not so accurate3. k-distribution: fast, with acceptable accuracyThe basic idea behind the k-distribution% 2 T b(u) 1L k( % )u 1 k( % )ue % d % e% %2 1% d % e kl u % l1% l 1 %Same (approximate) value of is encountered many times!20
The concept (continued)The average beam spectral transmittance can be writtenT b(u) NoteNj 1f (k j)e k juk jk maxk minf (k)dk 121
Page 4 and 5: Schematic for A
Page 6 and 7: Transmission in spectrally complex
Page 8 and 9: Influence of overlapConsider two id
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 22 and 23: Cumulative distributions and integr

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