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Report Documentation Page Form Approved OMB No. 0704-0188 Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 1. REPORT DATE SEP 1995 2. REPORT TYPE 3. DATES COVERED 00-00-1995 to 00-00-1995 4. TITLE AND SUBTITLE Modeling for atmospheric background radiance structures 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) Spectral Sciences Inc,4 Fourth Avenue,Burlington,MA,01803 8. PERFORMING ORGANIZATION REPORT NUMBER 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR S ACRONYM(S) 12. DISTRIBUTION/AVAILABILITY STATEMENT Approved for public release; distribution unlimited 13. SUPPLEMENTARY NOTES 11. SPONSOR/MONITOR S REPORT NUMBER(S) 14. ABSTRACT Atmospheric infrared radiance fluctuations result from fluctuations in the density of atmospheric species, individual molecular state populations, and kinetic temperatures and pressures along the sensor line of sight (LOS). The SHARC-4 program models the atmospheric background radiance fluctuations. It predicts a two dimensional radiance spatial covariance function from the underlying 3D atmospheric structures. The radiance statistics are non-stationary and are dependent on bandpass, sensor location and field of view (FOV). In the upper atmosphere non-equilibrium effects are important Fluctuations in kinetic temperature can result in correlated or anti-correlated fluctuations in vibrational state temperatures. The model accounts for these effects and predicts spatial covariance functions for molecular state number densities and vibrational temperatmes. SHARC predicts the the non-equilibrium dependence of molecular state number density fluctuations on kinetic temperature and density fluctuations, and calculates mean LOS radiances and radiance derivatives. The modeling capabilities are illustrated with sample predictions ofmsx like experiments with MSX sensor bandpasses, sensor locations and FOV. The model can be applied for all altitudes and arbitrary sensor FOV including nadir and limb viewing. 15. SUBJECT TERMS 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF ABSTRACT a. REPORT unclassified b. ABSTRACT unclassified c. THIS PAGE unclassified Same as Report (SAR) 18. NUMBER OF PAGES 16 19a. NAME OF RESPONSIBLE PERSON Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std Z39-18

Modeling for atmospheric background radiance structures John Gnminger, Robert L. Sundberg, and James W. Duff Spectral Sciences, Inc., Burlington, MA James Bro\llll and Ramesh Sharma USAF Phillips Laboratory/GPOS, Hanscom AFB, MA Robert D. Sears Jamieson Science and Engineering, Albuquerque, NM ABSTRACT Atmospheric infrared radiance fluctuations result from fluctuations in the density of atmospheric species, individual molecular state populations, and kinetic temperatures and pressures along the sensor line of sight (LOS). The SHARC-4 program models the atmospheric background radiance fluctuations. It predicts a two dimensional radiance spatial covariance function from the underlying 3D atmospheric structures. The radiance statistics are non-stationary and are dependent on bandpass, sensor location and field of view (FOV). In the upper atmosphere non-equilibrium effects are important Fluctuations in kinetic temperature can result in correlated or anti-correlated fluctuations in vibrational state temperatures. The model accounts for these effects and predicts spatial covariance functions for molecular state number densities and vibrational temperatmes. SHARC predicts the the non-equilibrium dependence of molecular state number density fluctuations on kinetic temperature and density fluctuations, and calculates mean LOS radiances and radiance derivatives. The modeling capabilities are illustrated with sample predictions ofmsx like experiments with MSX sensor bandpasses, sensor locations and FOV. The model can be applied for all altitudes and arbitrary sensor FOV including nadir and limb viewing. I. INTRODUCTION The calculation of infrared (IR) mean radiance, transmittance and their fluctuation statistics is important in many areas of atmospheric science, including the interpretation of satellite sensor measurements and for understanding the effects of turbulence structures on molecular excitation processes. The atmospheric infrared radiance fluctuations depend on fluctuations in atmospheric species number densities, vibrational state populations, and the kinetic temperatures along the sensor line-of-sight (LOS). The standard SHARC model 1 calculates mean LOS radiance and transmittance values. The SHARC structure model predicts the two-dimensional spatial covariance function of the radiance. The covariance function and its Fourier transform, the power spectral density (PSD), can be use directly in sensor models or in image synthesis modes to create realizations of the predicted structure. The radiance statistics and images are non-stationary and are explicitly bandpass and sensor FOV dependent At lower altitudes (- 50 km), collisional quenching of excited vibrational states is fast compared to radiative decay. Species tend to be in local thermodynamic equilibrium (L 1E) and state populations can be determined from a Boltzmann distribution at the gas-kinetic temperature. At higher altitudes, there are an insufficient number of collisions to equilibrate vibrational energy before radiative decay occurs and the VIbrational states can no longer be characterized by the kinetic temperature. Under these conditions, the VIbrational states are in nonlocal thermodynamic equilibrium (NL 1E). Models extending into the higher altitudes must describe these deviations from local thermodynamic equilibrium. SHARC assumes steady state kinetics for the atmospheric processes of collisional excitation, energy transfer, radiative decay, chemical production and illumination by the sun, earth and atmosphere. The model includes seven species which radiate in the 2-40 IJlil wavelength region. It includes NO, C0 2, 0 3, H 2 0, OH, CO, and CH 4. Isotopes of C0 2 and H 2 0 are also modeled. The number densities of the excited vibrational states are predicted and can be descnbed in terms of a Boltzmann distribution with state dependent vibrational temperatures. Under L TE conditions, the responses to a kinetic temperature fluctuation can be described by a Boltzmann distribution corresponding to the new kinetic temperature. The emission from a small volume in the atmosphere depends only on the gas-kinetic temperature in that volume and is determined using the Planck blackbody emission source term at the new fluctuated temperature. Under NL TE conditions, the response of population changes to fluctuations in temperature and density are determined for each state by a perturbation model which uses the same steady state chemical-kinetics schemes that are used for the quiescent atmosphere. Fluctuations in the kinetic temperature can result in correlated or anti-correlated responses in vibrational state population. The magnitudes of the responses depend on the local chemical environment. NL TE emission depends on the vitrational temperatures of all species involved, as well as, the gas-kinetic temperature. 2 I SPIE Vol. 2580 0-8194-1944-3/95/$6.00