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Electromagnetic Radiation: Interactions in the Atmosphere
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Sun’s Radiant Energy Distribution Spectral RegionWavelength Range [ m] Percent of Total Energy Gamma and X-rays< 0.01Negligible Far Ultraviolet0.01 - 0.20.02 Middle Ultraviolet0.2 - 0.31.95 Near Ultraviolet0.3 - 0.45.32 Visible0.4 - 0.743.5 Near Infrared0.7 - 1.536.8 Middle Infrared1.5 - 5.612.0 Thermal Infrared5.6 - 10000.41 Microwave> 1000Negligible Radio Waves> 1000Negligible
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Solar Emittance Curve Radiation leaving the surface of the sun: 6.4 ´ 107 Wm -2 Solar radiation at sea level: 1370 Wm -2 Blackbody radiation curve By comparison, the Earth at 288K emits only 390 Wm -2
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Terminology (yuck!) Radiant flux , [W, Js -1 ] Irradiance (flux density), E [Wm -2 ] (its is called Exitance, M when it is away from the surface) Radiance, L, [Wm -2 sr -1 ] Note, all can be functions of wavelength with additional units [ m -1 ]
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Electromagnetic Radiation Interactions with Matter Conservation of energy: radiation at a given wavelength is either –reflected ( ) -- property of surface or medium is called the reflectance or albedo (0-1) –absorbed ( ) -- property is absorptance or emittance (0-1) –transmitted ( ) -- property is transmittance (0-1) Radiation Budget Equation:
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Transmission, Absorption, (and Emission) Reflection,
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Reflection + Absorption + Transmission = 1 For the Earth’s surface, we ignore Transmission Reflection + Absorption = 1
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Reflection –diffuse reflection (rough surface) –specular reflection (smooth surface) Diffuse Specular
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Atmospheric Effects EMR is attenuated by its passage through the atmosphere Attenuation = scattering + absorption –Scattering is the redirection of radiation by reflection and refraction –Attenuation is wavelength dependent
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–scattering by molecules and particles whose diameters are << –primarily due to oxygen and nitrogen molecules –scattering intensity is proportional to -4 –responsible for blue sky Rayleigh Scattering
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A Clear Blue Sky Blue radiation ( = 0.46) Red radiation ( = 0.66) (0.66/0.46) 4 = 4.24 Blue is scattered 4 more than red radiation
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Mie Scattering –Spherical particles that have a mean diameter 0.1 to 10 times the incident wavelength –Examples for visible light: water vapor, smoke particles, fine dust –Scattering intensity is proportional to -4 to 0 (depending on particle diameter) Clear atmosphere has both Rayleigh and Mie scattering. Their combined influence is between -0.7 to
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Red Sky at Night At sunset, solar radiation must traverse a longer path through the atmosphere. Viewing a setting sun, the energy reaching the observer is largely depleted of blue radiation, leaving mostly red wavelengths (Rayleigh). Dust/smoke adds additional scattering with a wavelength dependence that increases the red sky effect (Mie)
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Non-selective Scattering –aerosol particles much larger than the wavelength (> 10x) –examples: water droplets, ice crystals, volcanic ash, smog –independent of wavelength: 0
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Atmospheric Absorption Absorption is the process whereby radiant energy is absorbed by atmospheric constituent and converted to thermal energy Atmospheric absorbers are primarily: H 2 Owater vapor, water droplets CO 2 carbon dioxide O 2 oxygen O 3 ozone Dust and soot
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Absorption Energy incident on a molecule causes –small displacements of the atoms from their equilibrium position (vibrations and rotations) –N atoms 3N possible vibrational modes O HH O HH O HH 2 = 6.08 m 1 = 3.106 m 3 = 2.903 m
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Water Vapor Absorption The water molecule has three classical frequencies 1, 2, 3 that correspond to the three wavelengths: 1 3.106 mm (symmetric OH stretch) 2 6.08 (HOH bend) 3 2.903 mm (asymmetric OH stretch) An example of combination: = 2 + 3 1/ 1/ 1/ m
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Absorption Bands EM spectrum within which radiant energy is absorbed by substances such as water (H 2 O), carbon dioxide (CO 2 ), oxygen (O 2 ), ozone (O 3 ), and nitrous oxide (N 2 O), dust, soot, etc.An absorption band is a portion of the EM spectrum within which radiant energy is absorbed by substances such as water (H 2 O), carbon dioxide (CO 2 ), oxygen (O 2 ), ozone (O 3 ), and nitrous oxide (N 2 O), dust, soot, etc.
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Atmospheric “Windows” Regions in the EM spectrum where energy can be fully transmitted 0.3-0.7 m UV and visible light 3-5 m emitted thermal energy from Earth 8-11 m emitted thermal energy from Earth 1 mm-1 m radar and microwave energy
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