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ELECTROMAGNETIC RADIATION
MER: form of energy emitted by sun, earth, atmosphere travels through space as electric and magnetic waves
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Electromagnetic spectrum
Shortwave < 3 µm Longwave > 3 µm
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A blackbody is a perfect absorber of all the radiation it receives and emitter of max radiation possible at a given temp
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Terrestrial (longwave): 100% infrared
Solar (shortwave) : 8% UV, X-ray, Gamma 47% visible 45% infrared Terrestrial (longwave): 100% infrared
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λ = wavelength
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Atmospheric absorption
Gases in atmosphere absorb at different wavelengths. Wavelengths not absorbed are TRANSMITTED.
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absorption vs. transmission
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Atmospheric absorption/transmittance graph
White gaps are “atmospheric windows of transmission”; black areas are absorption bands
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Longwave absorption
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Atmospheric “window” of transmission:
Shortwave absorbers: Ozone: absorbs UV < 0.3 μ H2O vapor : absorbs > 0.8 μ Atmospheric “window” of transmission: 0.3 – 0.8µ (shortwave) Longwave absorbers: H2O vapor, CO2, ozone, CH4, N2O Another window: 8 – 11 µ (longwave)
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Review SOLAR RADIATION: TERRESTRIAL RADIATION longwave (IR);
shortwave (visible, UV, IR); higher radiation intensity; absorbed by ozone and water vapor; atmospheric window of transmission : 0.3 – 0.8 µ TERRESTRIAL RADIATION longwave (IR); lower radiation intensity; absorbed by “greenhouse gases” (O3, H2O, N2O, CO2,CH4) atmospheric window of transmission : 8 – 11 µ
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Solar constant amount of solar radiation received at top of atmosphere on a plane surface perpendicular to sun’s rays. (not diminished by atmosphere) = 1372 W m-2 1 Watt = 1 J / sec
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What is relationship between wavelength and temperature? between energy
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Rules of Radiation 1. Wein’s Law
all objects emit energy at wavelengths inversely proportional to their temperature Wein’s Law gives wavelength of peak intensity (λmax) λmax = 2897 / T (temp in Kelvins)
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For earth: λmax = 2897 / 300K = 9.6 μ (infrared) For sun: λmax = 2897 / 6000K = 0.48 μ (visible) For molten lava? (temp = 1073 K) λmax = 2897 / 1073 = 2.7 μ (shortwave infrared)
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2. Stefan-Boltzmann Law E = σ (T4) (temp in Kelvins) σ = Stefan-Boltzmann constant: 5.67x10-8 Wm-2 K-4
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Humans maintain skin temp of 91°F (306 K). 1
Humans maintain skin temp of 91°F (306 K). 1. In which portion of the spectrum do we radiate? Wein’s Law: λmax = 2897 / temperature 2. How much energy do we radiate? Stefan-Boltzman : E = σ (T4) σ = 5.67x10-8 Wm-2 K-4 Lambda max = 9.5 microns (thermal IR) SB: fourth power 306 = 8,767,700,496 E = 497 W/sq.m.
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