phy392_lecture09_web_2011

# Phy392_lecture09_web - PHY392S Physics of Climate Lecture 9 Web Notes Radiative Transfer in the Atmosphere Beers Law Atmospheric Extinction Source

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PHY392S Physics of Climate Lecture 9 - Web Notes Radiative Transfer in the Atmosphere Beer’s Law Schwarzchild’s Equation PHY392 - Physics of Climate Lecture 9, Page 1

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Reminders Problem Set #1 is due in class today, February 7 Late penalty is 5% per day, up to 7 days, after which material will not be accepted This includes weekends, so February 14 (in class) is the absolute deadline, with a total late penalty of 35% Problem Set #2 will be handed out next Monday, February 14 and will be due in class on Monday, February 28 The Mid-term Test will be held in class on Wednesday, March 2 PHY392 - Physics of Climate Lecture 9, Page 2
PHY392 - Physics of Climate Lecture 9, Page 3

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PHY392 - Physics of Climate Lecture 9, Page 4
Radiative Transfer Within the Atmosphere What processes will change the intensity of electromagnetic radiation as it passes through a volume of atmosphere? PHY392 - Physics of Climate Lecture 9, Page 5

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Consider the general interaction of radiation with gaseous material. The monochromatic intensity at a point p in a direction s is I( p , s , ν ,t) W m -2 sr -1 (cm -1 ) -1 It is the amount of energy per unit time flowing within a solid angle d about the direction s through a small area dA perpendicular to s (therefore weight by cos θ ) in a wavenumber interval d ν : For simplicity, we will omit the dependencies of I on p , s , and t. dt d d dA cos ) t , , , ( I ) ( dE ν θ ν = ν s p Radiative Transfer in the Atmosphere PHY392 - Physics of Climate Lecture 9, Page 6 dx dA ν I ν ν + dI I d
For a plane-parallel beam travelling through an absorbing medium, over small distances, the behaviour is linear and follows the Beer-Bouguer-Lambert Law (or Beer’s Law ). See Perrin, Whose Absorption Law?, J. Optical Society of America , 38(1), 72-74, 1948 (posted on course homepage) Loss of the beam intensity dI is proportional to the amount of material traversed , ρ dx . dx

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## This note was uploaded on 02/19/2011 for the course PHYSICS 392 taught by Professor Weak during the Spring '11 term at Toledo.

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Phy392_lecture09_web - PHY392S Physics of Climate Lecture 9 Web Notes Radiative Transfer in the Atmosphere Beers Law Atmospheric Extinction Source

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