This work was funded by the Joint Center for Satellite Data Assimilation (JCSDA) through NOAA Cooperative Agreement NA07EC0676 and the NOAA Office of Research and Applications. The views, opinions, and findings contained in this report are those of the author(s) and should not be construed as an official National Oceanic and Atmospheric Administration or U.S. government position, policy, or decision.
Bauer, P., , P. Lopez, , A. Benedetti, , E. Moreau, , D. Salmond, , and M. Bonazzola, 2004: Assimilation of satellite-derived precipitation information at ECMWF in preparation of a future European contribution to GPM (EGPM). ECWMF Internal Rep. 17193, 85 pp.
Evans, K. F., , and G. L. Stephens, 1990: Polarized radiative transfer modelling: An application to microwave remote sensing of precipitation. Department of Atmospheric Science, Colorado State University Atmospheric Science Blue Book 461, 79 pp.
Greenwald, T., , R. Bennartz, , C. W. O’Dell, , and A. Heidinger, 2005: Fast computation of microwave radiances for data assimilation using the “successive order of scattering approximation.”. J. Appl. Meteor., 44 , 960–966.
Heidinger, A. K., 1997: Nadir sounding in the A-band of oxygen. Department of Atmospheric Science, Colorado State University Atmospheric Science Blue Book 650, 225 pp.
Herman, B. M., , D. E. Flittner, , T. R. Caudill, , K. J. Thome, , and A. Ben-David, 1995: Comparison of the Gauss-Seidel spherical polarized radiative transfer code with other radiative transfer codes. Appl. Opt., 34 , 4563–4572.
Irvine, W. M., 1964: The formation of absorption bands and the distribution of photon optical paths in a scattering atmosphere. Bull. Astron. Inst. Neth., 17 , 266–279.
O’Dell, C. W., , A. K. Heidinger, , T. Greenwald, , P. Bauer, , and R. Bennartz, 2006: The successive-order-of-interaction radiative transfer model. Part II: Model performance and applications. J. Appl. Meteor. Climatol., 45 , 1403–1413.
Petty, G. W., 1994: Physical retrievals of over-ocean rain rate from multichannel microwave imagery. Part I: Theoretical characteristics of normalized polarization and scattering indices. Meteor. Atmos. Phys., 54 , 89–100.
Smith, E. A., , P. Bauer, , F. S. Marzano, , C. D. Kummerow, , D. McKague, , A. Mugnai, , and G. Panegrossi, 2002: Intercomparison of microwave radiative transfer models for precipitating clouds. IEEE Trans. Geosci. Remote Sens., 40 , 541–549.
Twomey, S., , H. Jacobowitz, , and H. B. Howell, 1966: Matrix methods for multiple-scattering problems. J. Atmos. Sci., 23 , 289–298.
van de Hulst, H. C., , and K. Grossman, 1968: Multiple light scattering in planetary atmospheres. The Atmospheres of Venus and Mars, J. C. Brand and M. B. McElroy, Eds., Gordon and Breach, 35–55.
Voronovich, A. G., , A. J. Gasiewski, , and B. L. Weber, 2004: A fast multistream scattering-based Jacobian for microwave radiance assimilation. IEEE Trans. Geosci. Remote Sens., 42 , 1749–1761.
Weinman, J. A., , and P. J. Guetter, 1977: Determination of rainfall distributions from microwave radiation measured by the Nimbus 6 ESMR. J. Appl. Meteor., 16 , 437–442.
Wendisch, M., , and W. von Hoyningen-Huene, 1991: High speed version of the method of “successive order of scattering” and its application to remote sensing. Beitr. Phys. Atmos., 64 , 83–91.
Wiscombe, W. J., 1975a: Extension of the doubling method to inhomogeneous sources. J. Quant. Spectrosc. Radiat. Transfer, 16 , 477–489.
Wiscombe, W. J., 1975b: On initialization, error and flux conservation in the doubling method. J. Quant. Spectrosc. Radiat. Transfer, 16 , 637–658.