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Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman http://userpages.umbc.edu/ ~martins/PHYS721/ - Motivation, applications and issues - Definitions and Radiation Quantities - Thermal Emission/Absorption Basics - Solar and Terrestrial Spectra - From Single to Multiple Scattering - The Radiative Transfer Equations – Theory and Solution Methods - Absorption and Emission by Gas Molecules - Radiation and Climate Issues

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Page 1: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Atmospheric Radiative Transfer

PHYS 721

“The ocean sunglint in a dusty/polluted day”Picture by Yoram J. Kaufman

http://userpages.umbc.edu/~martins/PHYS721/

- Motivation, applications and issues

- Definitions and Radiation Quantities

- Thermal Emission/Absorption Basics

- Solar and Terrestrial Spectra

- From Single to Multiple Scattering

- The Radiative Transfer Equations – Theory and Solution Methods

- Absorption and Emission by Gas Molecules

- Radiation and Climate Issues

Page 2: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Frequency (=/2)Wavelength (=c/)

The EM spectrum

Our domain of interest

Page 3: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721
Page 4: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Two important BB lawsWien’s law: Wavelength (frequency, etc.) of maximum emission:

max(µm)≈3000/T

Location of maximun depends on representation (see solved problem at end of notes). Equal wavelength intervals do not correspond to equal frequency intervals:

Stefan-Boltzmann law: Total (wavelength-integrated) emitted flux: FBB=BT4

2 1 c1 2

12

Page 5: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

You’ll often see normalized plots of the Planck function (see also last solved problem of the notes)

Normalization of Planck functions

Page 6: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721
Page 7: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Results from the TSI instrument on Sorce

1357

W/m

2

1362

2003 2007

Page 8: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

2007

TSISORCE

Page 9: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Special Note on TIM TSI Data• The TIM's measured value of TSI at 1 AU is lower than that reported by other TSI-

measuring instruments; an upcoming solar minimum value of 1361 W/m2 is estimated from the current TIM data. This is due to unresolved differences between TSI instruments. The TIM measures TSI values 4.7 W/m2 lower than the VIRGO and 5.1 W/m2 lower than ACRIM III.

• This difference exceeds the ~0.1% stated uncertainties on both the ACRIM and VIRGO instruments. Differences between the various data sets are solely instrumental and will only be resolved by careful and detailed analyses of each instrument's uncertainty budget. We report only the TSI measurements from the TIM, and make no attempt to adjust these to other TSI data records.

• The TIM TSI data available are based on fundamental ground calibrations done at CU/LASP, NIST, and NASA. On-orbit calibrations measure the effects of background thermal emission, instrument sensitivity changes, and electronic gain. The TIM TSI data products have been corrected for instrument sensitivity and degradation, background thermal emission, instrument position and velocity, and electronic gain. The TIM relies on several component-level calibrations, as no calibration source or detector is available with the level of accuracy desired for this instrument -- a level of accuracy nearly 10 times better than that previously attempted for space-based radiometry.

Page 10: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

http://climate.gsfc.nasa.gov/viewImage.php?id=158

Page 11: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Solar Spectrum at different levels:

http://lasp.colorado.edu/sorce/instruments/sim/sim_science.htm

Page 12: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Interactions between Aerosols and Molecules with Radiation:

(a) Black Body

Curves

(m)

Aerosol Extinction Coef.

(m-1)

5780 K 255 K

N O R M A LI

Z A D F L u X

A B S O R P

T

I O N

%Large Aerosols

Small Aerosols

Page 13: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Absorption spectra of atmospheric gases

CH4

CO2

N2O

H2O

O2 & O3

atmosphere

AB

SO

RPTIV

ITY

WAVELENGTH (micrometers)IR Windows

InfraredVisible

UV

H2O dominates >15 µm

Page 14: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Average Solar Radiation intercepted by Earth and Distributed over its Surface

Surf

ace

Are

a 4

R2

Sola

r Con

stan

tSo

RA

rea

Inte

rcep

ting

Sola

r

Rad

iatio

n =

R

2

R2So = 4R2<So>

<So> = So/4

Page 15: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Simple Climate Model: Earth as a Black Body and no Atmosphere

<So>In equilibrium·Te

4 = <So>

Te = +5.8oC

All the solar radiation is absorbed and re-emitted by the surface

So = 1370W/m2

<So> = So/4 = 342.5W/m2

= 5.669x10-4Wm-2deg-4

Page 16: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

<So>

A·<So>

In equilibrium·Te4 = (1-A) ·<So>

(1-A)<So>

(1-A)<So>

A=0.3

Simple Climate Model: Earth with Albedo = 0.3 and no Atmosphere

Te = -17oC

Page 17: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Simple Climate Model: Earth with Atmosphere and Albedo = 0.3

So

A·<So>

In equilibrium·Te4 = 2·(1-A) ·<So>

Absorption and emission in the atmosphere: greenhouse gases, clouds, aerosols…

Atmospheric Scattering: Molecules, aerosols, clouds, and surface.

(1-A)<So>

(1-A)<So>

(1-A)<So>

A=0.3

Te = +30oC

Page 18: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

ATOA < ASUP

Warming

AEROSOL plus Surface Albedo Effect

ATOA = ASUP

Balance

ATOA > ASUP

CoolingLarge contrast in radiative forcing due to the combination of surface

and aerosol properties

Smoke – Instantaneous Direct Radiative Forcing over Varying Surface Albedo (Cuiaba – Brazil) for = 1

Page 19: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

Rparticles = RSUP

Balance between

Absorption and Scattering

Rparticles << RSUP

Surface Darkening or

Warming

Rparticles > RSUP

Surface Brightening or Cooling

Large contrast in radiative forcing due to the combination of surface

and aerosol properties

Smoke – Instantaneous Direct Radiative Forcing over Varying Surface Albedo (Cuiaba – Brazil) for = 1

AEROSOL plus Surface Albedo Effect

Page 20: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

AEROSOL DIRECT RADIATIVE FORCING

Rparticles = RSUP

Balance between

Absorption and Scattering

Rparticles << RSUP

Surface Darkening or

Warming

Rparticles > RSUP

Surface Brightening or Cooling

Large contrast in radiative forcing due to the combination of surface

and aerosol properties

Smoke – Instantaneous Direct Radiative Forcing over Varying Surface Albedo (Cuiaba – Brazil) for = 1

+10

-95

W/m

2

Page 21: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721

• Hansen, 2000: Separation of the BC forcing from other aerosol types

• Jacobson, 2001 - Radiative Forcing:

BC = +0.55 Wm2

CH4 = +0.47 Wm2

CO2 = +1.56 Wm2

Andreae, 2001: 1/3 of carbon-cycle resources should go to Black Carbon studies

“The Dark Side of Aerosols”

(Andreae, A. 2001)

or The Dark Side of the Aerosol Forcing

Aerosols containing black carbon

Aerosols not containing black

carbon

Hansen et al. [2000]

50 yrs climate change scenario

Page 22: Atmospheric Radiative Transfer PHYS 721 “The ocean sunglint in a dusty/polluted day” Picture by Yoram J. Kaufman martins/PHYS721