Zdunkowski W., Trautmann T., Bott A. Radiation in the atmosphere: A course in Theoretical Meteorology
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List of frequently used symbols 465
ϑ : zenith angle indicating direction of radiation
ϑ
0
: zenith angle indicating direction of direct solar radiation
φ : radiative flux (W)
φ(ϕ) : wave function
ϕ : azimuthal angle indicating direction of radiation
ϕ
0
: azimuthal angle indicating direction of direct solar radiation
χ : electric susceptibility
: solid angle (sr)
Ω : solid angle vector (sr)
ω : angular frequency (Hz)
ω
0
: single scattering albedo
ω
∗
0
: δ-scaled single scattering albedo
ω
a,s
: antisymmetric and symmetric vibration (Hz)
List of constants
c : speed of light in free space (2.997 924 58×10
8
ms
−1
)
c
p,0
: specific heat at constant pressure, dry air (1005 J kg
−1
K
−1
)
ε
0
: permittivity of free space (8.8542×10
−12
CV
−1
m
−1
)
h : Planck’s constant (6.626 196×10
−34
Js)
k : Boltzmann constant (1.380 662×10
−23
JK
−1
)
µ
0
: permeability of free space (1.2566×10
−6
TmA
−1
)
R
∗
: universal gas constant (8.314 32 J mole
−1
K
−1
)
R
0
: gas constant of dry air (287.05 J kg
−1
K
−1
)
σ : Stefan–Boltzmann constant ( 5.670 32 ×10
−8
Wm
−2
K
−4
)
S
0
: solar constant (1368 W m
−2
)
References
Abhyankar, K. D., and A. L. Fymat, 1970a: Theory of radiative transfer in inhomogeneous
atmospheres. III. Extension of the perturbation method to azimuth-independent
terms. Astrophys. J., 159, 1009–1018.
Abhyankar, K. D., and A. L. Fymat, 1970b: Theory of radiative transfer in
inhomogeneous atmospheres. IV. Application of the matrix perturbation method to
azimuth-independent terms. Astrophys. J., 159, 1019–1028.
Abramowitz M., and I. A. Stegun, 1972: Handbook of Mathematical Functions.
New York: Dover Publications, Inc.
Allen, C. W., 1963: Astrophysical Quantities. London: Athlone Press.
Ambartsumian, V., 1936: The effect of the absorption lines on the radiative equilibrium of
the outer layers of the stars. Publ. Obs. Astron. Univ. Leningrad, 6, 7–18.
Ambartsumian, V., 1942: Diffusion of light by planetary atmospheres. Astron. Zh., 19,
30–41.
Anderson, G. P., 1996: MODTRAN 3 User Instructions. US Air Force Geophysics
Laboratory. [Available from Geophysics Laboratory, US Air Force, Hanscom AFB,
MA 01731-5000]
Arking, A. 1991: The radiative effects of clouds and their impact on climate. Bull. Amer.
Meteor. Soc., 71, 795–813.
Asano, S., 1975: On the discrete ordinates method for the radiative transfer. J. Meteorol.
Soc. Japan, 53, 92–95.
Atkins, P. W., 1993: Einf
¨
uhrung in die physikalische Chemie. Weinheim: VCH.
Barker, H. W., and J. A. Davies, 1992: Solar radiative fluxes for broken cloud fields above
reflecting surfaces. J. Atmos. Sci., 49, 749–761.
Barkstrom, B. R., 1976: A finite difference method of solving anisotropic scattering
problems. J. Quant. Spectr. Rad. Transfer, 16, 725–739.
Barrow, G. M., 1962: Introduction to Molecular Spectroscopy. New York, San Francisco,
Toronto, London: McGraw-Hill.
Bates, D. R., and M. Nicolet, 1950: The photochemistry of atmospheric water vapour. J.
Geophys. Res., 55, 301–327.
Bell, G. I., and S. Glasstone, 1970: Nuclear Reactor Theory. New York: Van Nostrand
Reinhold.
Bohren, C. F., 1985: Comment on “Cloud optical thickness feedbacks in the carbon
dioxide climate problem” by R. Somerville and L. A. Remer. J. Geophys. Res., 90,
5867–5878.
466
References 467
Bohren, C. F., and D. R. Huffman, 1983: Absorption and Scattering of Light by Small
Particles. New York, Chichester, Brisbane, Toronto, Singapore: John Wiley and
Sons.
Born, M., and E. Wolf, 1965: Principles of Optics: Electromagnetic Theory of
Propagation, Interference and Diffraction of Light. Oxford, London, Edinburgh,
New York, Paris, Frankfurt: Pergamon Press.
Bott, A., and W. Zdunkowski, 1983: A fast solar radiation transfer code for application in
climate models. Arch. Met. Geoph. Biocl. B, 33, 163–174.
Bott, A., and W. Zdunkowski, 1987: Electromagnetic energy within dielectric spheres. J.
Opt. Soc. Am. A., 4, 1361–1365.
Bott, A., U. Sievers, and W. Zdunkowski, 1990: A radiation fog model with a detailed
treatment of the interaction between radiative transfer and fog microphysics. J.
Atmos. Sci., 47, 2153–2166.
Bott, A., T. Trautmann, and W. Zdunkowski, 1996: A numerical model of the
cloud-topped planetary boundary-layer: radiation, turbulence and spectral
microphysics in marine stratus. Q. J. R. Meteorol. Soc., 122, 635–667.
Bott, A., 1997: A numerical model of the cloud-topped planetary boundary layer: impact
of aerosol particles on radiative forcing of stratiform clouds. Q. J. R. Meteorol. Soc.,
123, 631–656.
Box, M. A., and A. Deepak, 1979: Retrieval of aerosol size distributions by inversion of
solar aureole data in the presence of multiple scattering. Appl. Opt., 18, 1376–1382.
Box, M. A., S. A. W. Gerstl, and C. Simmer, 1988: Application of the adjoint formulation
to the calculation of atmospheric radiative effects. Beitr. Phys. Atmosph., 61,
303–311.
Box, M. A., S. A. W. Gerstl, and C. Simmer, 1989a: Computation of atmospheric radiative
effects via perturbation theory. Beitr. Phys. Atmosph., 62, 193–199.
Box, M. A., B. Croke, S. A. W. Gerstl, and C. Simmer, 1989b: Application of the
perturbation theory for atmospheric radiative effects: aerosol scattering atmospheres.
Beitr. Phys. Atmosph., 62, 200–211.
Bronson, R., 1972: Matrix Methods: An Introduction. New York: Academic Press.
Brooks, D. L. 1950: A tabular method for the computation of temperature change by
infrared radiation in the free atmosphere. J. Meteor., 7, 313–321.
Bruinenberg, A., 1946: Een Numerieke Methode voor de Bepaling van
Temperatuurs–Veranderingen door Straling in de Vrije Atmosfeer (A Numerical
Method for the Calculation of Temperature Changes by Radiation in the Free
Atmosphere), Koninlijk Nederlands Meteorologisch Instituut, No. 125,
Mededelingen en Verhandelingen, Series B, vol. 1, No. 1, 1946.
Buck, R. C., 1965: Advanced Calculus. New York, St. Louis, San Francisco, Toronto,
London, Sydney: McGraw-Hill Book Company.
Cabannes, J., 1929: La Diffusion Mol
´
eculaire de la Lumil
`
ere. Paris: Les Presses
Universitaires de France.
Cahalan, R. F., W. Ridgeway, W. J. Wiscombe, T. L. Bell, and J. B. Snider, 1994: The
albedo of fractal stratocumulus clouds. J. Atmos. Sci., 51, 2434–2455.
Ceballos, J. C., 1988: On two-flux approximations for shortwave radiative transfer in the
atmosphere. Beitr. Phys. Atmosph., 61, 10–22.
Chahine, M. T., 1970: Inverse problems in radiative transfer: determination of
atmospheric parameters. J. Atmos. Sci., 27, 960–967.
Chandrasekhar, S., 1960: Radiative Transfer. Oxford: Clarendon Press. Reprinted 1960,
New York: Dover Publications, Inc.
Chapman, S., 1930a: A theory of upper atmospheric ozone. Mem. Roy. Soc., 3, 103–109.
468 References
Chapman, S., 1930b: On ozone and atomic oxygen in the upper atmosphere. Philos. Mag.,
p. 10369.
Chou, M.-D., and A. Arking, 1980: Computation of infrared cooling rates in water vapor
bands. J. Atmos. Sci., 37, 855–867.
Chou, M.-D., and A. Arking, 1981: An efficient method for computing the absorption of
solar radiation by water vapor. J. Atmos. Sci., 38, 798–807.
Chou, M.-D., K.-T. Lee, S.-C. Tsay, and Q. Fu, 1999: Parameterization for cloud
longwave scattering for use in atmospheric models. J. Climate, 12, 159–169.
Chou, M.-D., M. Suarez, X.-Z. Liang, and M. M.-H. Yan, 2001: A thermal infrared
radiation parameterization for atmospheric studies. NASA Technical Report Series on
Global Modeling and Data Assimilation, NASA/TM-2001-104606, Volume 19.
Greenbelt, MA: Goddard Space Flight Center.
Coulson, K. L., 1975: Solar and Terrestrial Radiation. New York: Academic Press Ltd.
Coulson, K. L., 1988: Polarization and Intensity of Light in the Atmosphere. Hampton,
VA: A. Deepak Publishing.
Coulson, K. L., J. V. Dave, and Z. Sekera, 1960: Tables Related to Radiation Emerging
from a Planetary Atmosphere with Rayleigh Scattering. Berkeley and Los Angeles:
University of California Press.
Courant, R., and D. Hilbert, 1953: Methods of Mathematical Physics, Volume 1.
New York, London, Sydney: Wiley-Interscience.
Craig, I. J. D., and J. C. Brown, 1986: Inverse Problems in Astronomy. Bristol: A. Hilger.
Crisp, D., S. B. Fels, and M. D. Schwarzkopf, 1986: Approximate methods for finding
CO
2
15 µm band transmission in planetary atmospheres. J. Geophys. Res., 91,
11851–11866.
d’Almeida, G. A., P. Koepke, and E. P. Shettle, 1991: Atmospheric Aerosols: Global
Climatology and Radiative Chracteristics. Hampton, VA: A. Deepak Publishing.
Dave, J. V., 1975: A direct solution of the spherical harmonics approximation to the
radiative transfer equation for an arbitrary solar elevation. Part I: Theory. J. Atmos.
Sci., 32, 790–798.
Davis, J. M., S. K. Cox, and T. B. McKee, 1979: The total short wave radiation
characteristics of absorbing finite clouds. J. Atmos. Sci., 36, 508–518.
Debye, P., 1909: Der Lichtdruck auf Kugeln von beliebigem Material. Ann. Phys., 30,
57–136.
de Haan, J. F., P. B. Bosma, and J. W. Hovenier, 1987: The adding method for multiple
scattering calculations of polarized light. Astron. Astrophys., 183, 371–391.
Deirmendjian, D., 1957: Theory of the solar aureole, part I: scattering and radiative
transfer. Ann. Geophys., 13, 286–306.
Deirmendjian, D., 1959: The role of water particles in the atmospheric transmission of
infrared radiation. Quart. J. Roy. Meteor. Soc., 85, 404–411.
Deirmendjian, D., 1969: Electromagnetic Scattering on Spherical Polydispersions.
New York: Elsevier.
Demtr¨oder, W., 2003: Molek
¨
ulphysik: Theoretische Grundlagen und experimentelle
Methoden. Oldenburg, M¨unchen, Wien.
Deuze, J. L., C. Devaux, and M. Herman, 1973: Utilisation de la m´ethode des
harmoniques sph´eriques dans les calculs de transfert radiatif. Extension au cas de
couches diffusantes d’absorption variable. Nouv. Rev. Opt., 4, 307–314.
Eddington, A. S., 1916: On the radiative equilibrium of the stars. Mon. Not. Roy. Astron.
Soc., 77, 16–35.
Ellis, J. S., 1978: Cloudiness, the planetary radiation budget, and climate. Ph.D. Thesis,
Fort Collins, CO: Colorado State University.
References 469
Elsasser, W. M., 1942: Heat Transfer by Infrared Radiation in the Atmosphere. Harvard
Meteorological Studies No. 6. Cambridge, MA: Harvard University Press.
Elsasser, W. M., and M. F. Culbertson, 1961: Atmospheric Radiation Tables.
Meteorological Monographs, Vol. 4, No. 23. Boston, MA: American Meteorological
Society.
Emden, R., 1913:
¨
Uber Strahlungsgleichgewicht und atmosph¨arische Strahlung: Ein
Beitrag zur Theorie der oberen Inversion. Sitzungsberichte der K
¨
oniglich
Bayerischen Akademie der Wissenschaften, Math.-phys. Klasse, pp. 55–142.
Eyring, H., J. Walter and G. E. Kimball, 1965: Quantum Chemistry. New York, London,
Sydney: John Wiley & Sons, Inc.
Fels, S. B., 1979: Simple strategies for inclusion of Voigt effects in infrared cooling rate
calculations. Appl. Opt., 18, 2634–2637.
Flatau, P. J., and G. L. Stephens, 1988: On the fundamental solution of the radiative
transfer equation. J. Geophys. Res., 93, 11037–11050.
Fomichev, V. I., and G. M. Shved, 1985: Parameterization of the radiative divergence in
the 9.6 micron O
3
band. J. Atmos. Terr. Phys., 47, 1037–1049.
Fowles, G. R., 1966: Analytical Mechanics. New York, Chicago, San Francisco, Toronto,
London: Holt, Rinehart and Winston.
Fowles, G. R., 1967: Introduction to Modern Optics. New York, Chicago, San Francisco,
Toronto, London: Holt, Rinehart and Winston.
Friedman, B., 1956: Principles and Techniques of Applied Mathematics. New York,
NY: John Wiley.
Fu, Q., and K. N. Liou, 1992: On the correlated k-distribution method for radiative
transfer in nonhomogeneous atmospheres. J. Atmos. Sci., 49, 2139–2156.
Fu, Q., K. N. Liou, M. C. Cribb, T. P. Charlock, and A. Grossmann, 1997: Multiple
scattering parameterization in thermal infrared radiative transfer. J. Atmos. Sci., 52,
2799–2812.
Fymat, A. L., and K. D. Abhyankar, 1969a: Theory of radiative transfer in inhomogeneous
atmospheres. I. Perturbation method. Astrophys. J., 158, 315–324.
Fymat, A. L., and K. D. Abhyankar, 1969b: Theory of radiative transfer in
inhomogeneous atmospheres. II. Application of the perturbation method to a
semi-infinite atmosphere. Astrophys. J., 158, 325–335.
Gantmacher, F. R., 1986: Matrizentheorie. Berlin: Springer-Verlag.
Garcia, R. D. M., and C. E. Siewert, 1985: Benchmark results in radiative transfer. Transp.
Theory Statist. Phys., 14, 437–483.
Geleyn, J. F., and A. Hollingsworth, 1979: An economical analytical method for the
computation of the interaction between scattering and line absorption of radiation.
Beitr. Phys. Atmosph., 52, 1–16.
Gergen, J. L., 1956: Black ball: a device for measuring atmospheric radiation. Rev. Scient.
Instr., 27, 453.
Gergen, J. L., 1957: Atmospheric infrared radiation over Minneapolis to 30 millibars.
J. Meteorol., 14, 495–504.
Gergen, J. L., 1958: Observations of atmospheric radiation over Mc. Murdo Sound,
Antarctica. Techn. Rep. Atm. Phys. Progr. Navy Contr. Nonr.-710, 22.
Gerstl, S. A. W., 1982: Application of the adjoint method in atmospheric radiative transfer
calculations. In: Deepak, A., (Ed.), Atmospheric Aerosols: Their Formation, Optical
Properties, and Effects. Hampton VA: Spectrum Press, pp. 241–254.
Gerstl, S. A. W., and W. M. Stacey, 1973: A class of second order approximation
formulations for deep penetration radiation transport problems. Nucl. Sci. Eng., 51,
339–343.
470 References
Gerstl, S. A. W., and A. Zardecki, 1985: Discrete-ordinates finite-element method for
atmospheric radiative transfer and remote sensing. Appl. Opt., 24, 81–93.
Godson, W. L., 1955: The computation of infrared transmission by atmospheric water
vapour. J. Atmos. Sci., 12, 272–284.
Goody, R. M., 1952: A statistical model for water vapour absorption. Q. J. R. Meteorol.
Soc., 78, 165–169.
Goody, R. M., 1964a: Atmospheric Radiation, I: Theoretical Basis. Oxford: Clarendon
Press.
Goody, R. M., 1964b: The transmission of radiation through an inhomogeneous
atmosphere. J. Atmos. Sci., 21, 575–581.
Goody, R. M., and Y. L. Yung, 1989: Atmospheric Radiation – Theoretical Basis. Oxford:
Oxford University Press.
Graedel, T. E., and P. J. Crutzen, 1994: Chemie der Atmosph
¨
are. Bedeutung f
¨
ur Klima und
Umwelt. Heidelberg: Spektrum Akademischer Verlag.
Greiner. W., 1989: Mechanik, Teil 2. Frankfurt: Verlag Harri Deutsch.
Hales, J. V., 1951: An atmospheric radiation flux divergence chart and meridional
cross-sections of cooling rates. Ph.D. Thesis, Los Angeles, CA: University of
California.
Hansen, J. E., 1971: Multiple scattering of polarized light in planetary atmospheres. Part I.
The doubling method. J. Atmos. Sci., 28, 120–125.
Hansen, P. C., 1994: Regularization tools – a Matlab package for analysis and solution of
discrete ill-posed problems. Num. Algor., 6, 1–35.
Hansen, J. E., and A. A. Lacis, 1990: Sun and dust versus greenhouse gases: An
assessment of their relative roles in global climate change. Nature, 346, 713–719.
Hansen, J. E., and L. D. Travis, 1974: Light scattering in planetary atmospheres. Space
Sci. Rev., 16, 527–610.
Hansen, J., A. Lacis, D. Rind, et al., 1984: Climate sensitivity: Analysis of feedback
mechanisms. In: (J. E. Hansen and T. Takahashi, Eds.) Climate Processes and
Climate Sensitivity AGU Geophysical Monograph 29. Washington, DC: American
Geophysical Union, pp. 130–163.
Hecht, E., 1987: Optics. Reading, MA: Addison-Wesley.
Herman, B. M., S. R. Browning, and R. J. Curran, 1971: The effect of atmospheric
aerosols on scattered sunlight. J. Atmos. Sci., 28, 419–428.
Herman, M., J. L. Deuz´e, C. Devaux, P. Goloub, F. M. Br´eon, and D. Tanr´e, 1997: Remote
sensing of aerosols over land surfaces including polarization measurements and
application to POLDER measurements. J. Geophys. Res., 102, 17039–17049.
Herzberg, G., 1964a: Molecular Spectra and Molecular Structure. I. Spectra of Diatomic
Molecules. Princeton University, NJ, Toronto, New York, London: D. Van Nostrand
Company, Inc.
Herzberg, G., 1964b: Molecular Spectra and Molecular Structure. II. Infrared and Raman
Spectra of Polyatomic Molecules. Princeton University, NJ. Toronto, New York,
London: D. Van Nostrand Company, Inc.
Hess, M., P. Koepke, and I. Schult, 1998: Optical properties of aerosols and clouds: The
software package OPAC. Bull. Amer. Meteorol. Soc., 79, 831–844.
Houghton, H. G., 1985: Physical Meteorology. Cambridge, MA: MIT Press.
Houghton, J. T., and S. D. Smith, 1966: Infra-red Physics. Oxford: Clarendon Press.
Houghton, J. T., F. W. Taylor, and C. D. Rodgers, 1984: Remote Sounding of Atmospheres.
Cambridge: Cambridge University Press.
Hovenier, J. W., 1971: Multiple scattering of polarized light in planetary atmospheres.
Astron. Astrophys., 13, 7–29.
References 471
Hovenier, J. W., and C. V. M. van der Mee, 1983: Fundamental relationships relevant to
the transfer of polarized light in a scattering atmosphere. Astron. Astrophys., 128,
1–16.
Hunt, G. E., R. Kandel, and A. T. Mecherikunnel, 1986: A history of pre-satellite
investigations of the earth’s radiation budget. Rev. Geophys., 24, 351–356.
Jackson, J. D., 1975: Classical Electrodynamics. New York: Wiley.
Jahnke, E., and F. Emde, 1945: Tables of Functions with Formulae and Curves. New York:
Dover Publications.
Johnson, J. C., 1960: Physical Meteorology. New York, London: The Technology Press of
the Massachusetts Institute of Technology and John Wiley and Sons, Inc.
Joseph, J. H., W. J. Wiscombe, and J. A. Weinman, 1976: The delta-Eddington
approximation for radiative flux transfer. J. Atmos. Sci., 33, 2452–2459.
Kaplan, L. D., 1959: Inference of atmospheric structure from remote radiation
measurements. J. Opt. Soc. Amer., 49, 1004–1007.
Kasten, F., and A. T. Young, 1989: Revised optical air mass tables and approximation
formula. Appl. Opt., 28, 4735–4738.
Keener, J. P., 1988: Principles of Applied Mathematics: Transformation and
Approximation. Addison-Wesley.
Kiehl, J. T., and K. E. Trenberth, 1997: Earth’s annual global mean energy budget. Bull.
Amer. Meteor. Soc., 78, 197–208.
King, J. I. F., 1956: The radiative heat transfer of planet earth. In: Scientific Use of Earth
Satellites. Ann Arbor, MI: University of Michigan Press, pp. 133–136.
King, M. D., D. M. Byrne, B. M. Herman, and J. A. Reagan, 1978: Aerosol size
distribution obtained by inversion of spectral optical depth measurements. J. Atmos.
Sci., 35, 2153–2167.
Kirchhoff, G., 1882: Gesammelte Abhandlungen. Leipzig: Barth.
Kneizys, F. X., L. W. Abreu, et al., 1996: The MODTRAN 2/3 Report and Lowtran 7
Model. Hanscom AFB, MA: Phillips Laboratory, Geophysics Directorate.
[F19628-91-c-0132]
Kondrat’yev, K. Y., 1965: Radiative Heat Exchange in the Atmosphere. New York:
Pergamon Press.
Korb, G., and W. Zdunkowski, 1970: Distribution of radiative energy in ground fog.
Tellus, 22, 298–320.
Kourganoff, V., 1952: Basic Methods in Transfer Problems: Radiative Equilibrium and
Neutron Diffusion. Oxford: Clarendon Press.
Kroto, H. W., 1975: Molecular Rotation Spectra. London: Wiley.
Kuˇsˇcer, I., and I. Vidav, 1969: On the spectrum of relaxation lengths of neutron
distributions in a moderator. J. Math. Anal. Appl., 25, 80–92.
Labitzke, K., B. Naujokat, and M. P. McCormick, 1983: Temperature effects on the
stratosphere of the April 4, 1982 eruption of El Chichon. Geophys. Res. Letters, 10,
24–26.
Lacis, A. A., and V. Oinas, 1991: A description of the correlated-k distribution method
for modeling nongray gaseous absorption, thermal emission, and multiple
scattering in vertically inhomogeneous atmospheres. J. Geophys. Res., 96,
9027–9063.
Lacis, A. A., W. C. Wang, and J. Hansen, 1979: Correlated k-distribution method for
radiative transfer in climate models: Application to the effect of cirrus clouds on
climate. NASA Conf. Publ. 2076, 309–314.
Ladenburg, R., and F. Reiche, 1913:
¨
Uber selektive Absorption. Ann. der Phys., 42,
181–203.
472 References
Landgraf, J., O. P. Hasekamp, M. A. Box, and T. Trautmann, 2001: A linearized radiative
transfer model for ozone profile retrieval using the analytical forward–adjoint
perturbation theory approach. J. Geophys. Res., 106, 27291–27305.
Landgraf, J., O. P. Hasekamp, and T. Trautmann, 2002: Linearization of radiative transfer
with respect to surface properties. J. Quant. Spectr. Rad. Transfer, 72, 327–339.
Lenoble, J. (ed.), 1985: Radiative Transfer in Scattering and Absorbing Atmospheres:
Standard Computational Procedures. Hampton, VA: A. Deepak Publ.
Lenoble, J., 1993: Atmospheric Radiative Transfer. Hampton, VA: A. Deepak Publ.
Levine, I. N., 1975: Molecular Spectroscopy. New York: Wiley.
Li, J., and V. Ramaswamy, 1996: Four-stream spherical harmonic expansion
approximation for solar radiative transfer. J. Atmos. Sci., 53, 1174–1186.
Liou, K.-N., 1973: A numerical experiment on Chandrasekhar’s discrete-ordinate method
for radiative transfer: applications to cloudy and hazy atmosphere. J. Atmos. Sci., 30,
1303–1326.
Liou, K.-N., 1980: An Introduction to Atmospheric Radiation. International Geophys.
Series, Vol. 26. New York: Academic Press.
Liou, K.-N., 2002: An Introduction to Atmospheric Radiation. Amsterdam: Academic
Press.
Livingston, J. M., and P. B. Russell, 1989: Retrieval of aerosol size distribution moments
from multiwavelength particulate extinction measurements. J. Geophys. Res., 94,
8425–8433.
Los, A., M. van Weele, and P. G. Duynkerke, 1997: Actinic flux in broken cloud fields.
J. Geophys. Res., 102, 4257–4266.
Malkmus, W., 1967: Random Lorentz band model with exponential-tailed S
−1
line-intensity distribution function. J. Opt. Soc. Am., 57, 323–329.
Manabe, S., and F. M¨oller, 1961: On the radiative equilibrium and heat balance of the
atmosphere. Mon. Wea. Rev., 89, 503–532.
Manabe, S., and R. F. Strickler, 1964: Thermal equilibrium of the atmosphere with a
convective adjustment. J. Atmos. Sci., 21, 361–385.
Mayer, H., 1947: Methods of Opacity Calculations, Los Alamos Report 647. Los Alamos,
NM: Los Alamos Scientific Laboratory.
Meador, W. E., and W. R. Weaver, 1980: Two-stream approximations to radiative transfer
in planetary atmospheres: A unified description of existing methods and a new
improvement. J. Atmos. Sci., 37, 630–643.
Mie, G., 1908: Beitr¨age zur Optik tr¨uber Medien speziell kolloidialer Metall¨osungen. Ann.
Phys. 25, 377–445.
Mishchenko, M. I., and L. D. Travis, 1997: Satellite retrieval of aerosol properties over the
ocean using polarization as well as intensity of reflected sunlight. J. Geophys. Res.,
102, 16989–17013.
M¨oller, F., 1941: Die W¨armestrahlung des Wasserdampfes in der Atmosph¨are. Gerlands
Beitr
¨
age zur Geophysik, 58, 11–67.
M¨oller, F., 1943: Das Strahlungsdiagramm. Reichsamt f¨ur Wetterdienst, Luftwaffe.
M¨oller, F., 1944: Grundlagen eines Diagrammes zur Berechnung langwelliger
Strahlungsstr¨ome. Meteorol. Zeitschrift, 61, 37–45.
M¨oller, F., 1951: Long wave radiation. Compendium of Meteorology. Boston, MA:
American Meteorological Society, pp. 34–49.
M¨oller F., and S. Manabe, 1961:
¨
Uber das Strahlungsgleichgewicht der Atmosph¨are,
Zeitschrift f
¨
ur Meteorol., 15, 3–8.
Moler, C. B., and C. van Loan, 1978: Nineteen dubious ways to compute the exponential
of a matrix. SIAM Rev., 4, 801–836.
References 473
Morse, P. M., and H. Feshbach, 1953: Methods in Theoretical Physics. Part I. Boston,
MA: McGraw-Hill.
Muldashev, T. Z., A. I. Lyapustin, and U. M. Sultangazin, 1999: Spherical harmonics
method in the problem of radiative transfer in the atmosphere–surface system.
J. Quant. Spectr. Rad. Transfer, 61, 393–404.
M¨ugge, R., and F. M¨oller, 1932: Zur Berechnung von Strahlungsstr¨omen und
Temperatur¨anderungen in Atmosph¨aren von beliebigem Aufbau. Z. Geophys., 8,
53–64.
Nakajima, T., M. Tanaka, and T. Yamauchi, 1983: Retrieval of the optical properties of
aerosols from aureole and extinction data. Appl. Opt., 22, 2951–2959.
Ohring. G., P. F. Clapp, T. R. Heddinghaus, and A. F. Krueger, 1981: The quasi-global
distribution of the sensitivity of the earth–atmosphere radiation budget to clouds.
J. Atmos. Sci., 38, 2539–2541.
O’Hirok, W., and C. Gautier, 1998a: A three-dimensional radiative transfer model to
investigate the solar radiation within a cloudy atmosphere. Part I: Spatial effects.
J. Atmos. Sci., 55, 2162–2179.
O’Hirok, W., and C. Gautier, 1998b: A three-dimensional radiative transfer model to
investigate the solar radiation within a cloudy atmosphere. Part II: Spectral effects.
J. Atmos. Sci., 55, 3065–3076.
Paltridge, G. W., 1980: Cloud-radiation feedback to climate. Q. J. R. Meteorol. Soc., 106,
367–380.
Paltridge, G. W., and C. M. R. Platt, 1976: Radiative Processes in Meteorology and
Climatology. Amsterdam: Elsevier.
Pauling, L., and E. B. Wilson, 1935: Introduction to Quantum Mechanics. New York and
London: McGraw-Hill Book Company, Inc.
Penner, S. S., 1959: Quantitative Molecular Spectroscopy and Gas Emissivities. Reading,
MA, London: Addison-Wesley Publishing Company, Inc.
Phillips, D. L., 1962: A technique for the numerical solution of certain integral equations
of the first kind. J. Assoc. Comput. Mach., 9, 84–97.
Plass G. N., 1956: The influence of the 9.6 micron ozone band on the atmospheric
infra-red cooling rate. Q. J. R. Meteorol. Soc., 82, 310–324.
Plass, G. N., G. W. Kattawar, and F. E. Catchings, 1973: Matrix operator theory of
radiative transfer. I: Rayleigh scattering. Appl. Opt., 12, 314–329.
Pomraning, G. C., 1973: The Equations of Radiation Hydrodynamics. Oxford, New York:
Pergamon Press.
Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992: Numerical
Recipes in FORTRAN: The Art of Scientific Computing. – 2nd edn. Cambridge:
Cambridge University Press, pp. 935–1481.
Putzer, E. J., 1966: Avoiding the Jordan canonical form in the discussion of linear systems
with constant coefficients. Amer. Math. Monthly, 73,2.
Ramanathan, V., 1987: The role of earth radiation budget studies in climate and general
circulation research. J. Geophys. Res., 92, 4075–4095.
Ramanathan, V., R. J. Cicerone, H. B. Singh, and J. T. Kiehl, 1985: Trace gas trends and
their potential role in climate change. J. Geophys. Res., 90, 5547–5566.
Ramanathan, V., B. R. Barkstrom, and E. F. Harrison, 1989: Climate and the earth’s
radiation budget. Physics Today, 42, 22–33.
Rayleigh, Lord (J. W. Strutt), 1871: On the light from the sky, its polarization and colour.
Phil. Mag., 41, 107–120 and 274–279.
Rayleigh, Lord (J. W. Strutt), 1918: On the scattering of light by a cloud of similar, small
particles of any shape and oriented at random. Phil. Mag., 35, 373–381.
474 References
Rodgers, C. D., 1967: The use of emissivity in atmospheric radiation calculations. Q. J. R.
Meteorol. Soc., 93, 43–54.
Rothman, L. S., R. R. Gamache, A. Goldman, et al., 1987: The HITRAN database: 1986
edition. Appl. Opt., 26, 4058–4097.
Rothman, L. S., R. R. Gamache, A. Goldman, et al., 1992: The HITRAN molecular
data base. Editions of 1991 and 1992. J. Quant. Spectr. Rad. Transfer, 48,
509–518.
Rozanov, V. V., D. Diebel, R. J. D. Spurr, and J. P. Burrows, 1997: GOMETRAN: A
radiative transfer model for the satellite project GOME, the plane-parallel version,
J. Geophys. Res., 102, 16683–16695.
Santer, R., and M. Herman, 1983: Particle size distribution from forward scattering light
using the Chahine inversion scheme. Appl. Opt., 22, 2294–2302.
Schnaidt, F., 1939:
¨
Uber die Absorption von Wasserdampf und Kohlens¨aure mit
besonderer Ber¨ucksichtigung der Druck- und Temperaturabh¨angigkeit, Gerl. Beitr.
Geophys., 54, 203–234.
Schuster, A., 1905: Radiation through a foggy atmosphere. Astrophys. J., 21, 1–22.
Schwarzschild, K., 1906:
¨
Uber das Gleichgewicht der Sonnenatmosph¨are. In: Nachrichten
von der K
¨
oniglichen Gesellschaft der Wissenschaften zu G
¨
ottingen. Math.-phys.
Klasse, 195, p. 41–53.
Sekera, Z., 1956: Recent developments in the study of the polarisation of skylight.
Advances in Geophysics, 3, 43–104.
Sekera, Z., and A. B. Kahle, 1966: Scattering Functions for Rayleigh Atmospheres of
Arbitrary Thickness. Santa Monica, CA: RAND Corporation.
Sellers, W. D., 1965: Physical Climatology. Chicago, IL: University of Chicago Press.
Shettle, E. P., and J. A. Weinman, 1970: The transfer of solar irradiance through
inhomogeneous turbid atmospheres evaluated by Eddington’s approximation.
J. Atmos. Sci., 27, 1048–1055.
Shettle, E. P., and R. W. Fenn, 1979: Models for aerosols of the lower atmosphere and the
effects of humidity variations on their optical properties. Hanscom Field, Bedford,
MA: AFCRL, AFGL-TR-79-0214.
Shurcliffe, W. A., 1966 Polarized Light: Production and Use. 2nd Print. Cambridge MA:
Harvard University Press.
Siebert, J., A. Bott, and W. Zdunkowski, 1992: Influence of a vegetation-soil model on the
simulation of radiation fog. Beitr. Phys. Atmos., 65, 93–106.
Smirnow, V. I., 1959: Lehrbuch der H
¨
oheren Mathematik. Teil 3,2. 2. durchgesehene
Auflage, Dt. Berlin: Verlag der Wissenschaften.
Smith, W. L., 1970: Iterative solution of the radiative transfer equation for the temperature
and absorbing gas profile of an atmosphere. Appl. Opt., 9, 1993–1999.
Spencer, J. W., 1971: Fourier series representation of the position of the sun, Search, 2,
172.
Spiegel, R. M., 1964: Schaum’s Outline of Theory and Problems of Complex Variables:
With an Introduction to Conformal Mapping and Its Applications. New York:
McGraw-Hill.
Stamnes, K., S.-C. Tsay, W. Wiscombe, and K. Jayaweera, 1988: Numerically stable
algorithm for discrete-ordinate-method radiative transfer in multiple scattering and
emitting layered media. Appl. Opt., 27, 2502–2509.
Stephens, G. L., 1994: Remote Sensing of the Lower Atmosphere. Oxford: Oxford
University Press.
Stokes, G. G., 1852: On the composition and resolution of streams of polarized light from
different sources. Trans. Cambridge Philos. Soc., 9, 399–423.