VLIDORT User's Guide

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The first call is the baseline calculation of intensity, 2 column Jacobians,and 1 Surface Jacobian. The 3 threads are designed to test Jacobians byfinite differencing. They are:Thread 5: Finite difference, perturb Lambertian albedo.Thread 6: Finite difference, perturb total molecular absorption opticaldepth.Thread 7: Finite difference, perturb total aerosol optical depth.The output file contains (for all 36 geometries and 5 output levels) thebaseline intensities, baseline Analytic weighting functions (AJ1, AJ2 etc.),and the corresponding finite difference weighting functions (FD1, FD2 etc ).The integrated output (actinic and regular fluxes) are output for all SZAs andall 5 output levels.Standard and Linearized BRDF Surface Tester-------------------------------------------Master programExecutableOutput files: 2p6_brdfplus_tester.f90: s2p6_brdfplus_tester.exe: results_brdf_supcheck.resresults_brdf_supcheck.wfsresults_brdfplus_tester.allThe surface BRDF is one consisting of three BRDF kernels: a Ross-thin kernel,a Li-dense kernel, and a Cox-Munk kernel.The first part of the test program has the BRDF supplement code calculate theBRDF and the BRDF weighting functions to be passed to VLIDORT later in thetest. These two sets of results are output to two BRDF output files.In the BRDF output file “results_brdf_supcheck.res”, we have:Exact direct beam BRDF reflectances output for each of the 36 geometries.Also, for the intensity and one azimuth angle, the Fourier components of theBRDF reflectance in the test scenario are output for each of the 10 upwellingquadrature angles, 4 solar zenith angles (SZAs), and 3 user-specified anglesin the following combinations of angles:Ten pairs of:* quadrature angle to quadrature angle (10 results).* SZA to quadrature angle (4 results).Three pairs of:* quadrature angle to user-specified angle (10 results).* SZA to user-specified angle (4 results).In the BRDF output file “results_brdf_supcheck.wfs”, we have a similarconfiguration of results as in “results_brdf_supcheck.res”, but here there are6 sets of results, each corresponding to one of the following 6 surfaceweighting functions (i.e. Jacobians):102
1. Ross-thin kernel - kernel factor.2. Li-dense kernel - kernel factor.3. Li-dense kernel - kernel parameter #1.4. Li-dense kernel - kernel parameter #2.5. Cox-Munk kernel - kernel factor.6. Cox-Munk kernel - kernel parameter #1.The weighting functions displayed are a result of the following BRDF weightingfunction inputs in the BRDF input configuration file "2p6_BRDF_ReadInput.cfg":VLIDORT - Kernels, indices, # pars, Jacobian flagsRoss-thin 2 0 T F F FLi-dense 5 2 T T T FCox-Munk 9 2 T T F FThe second part of the test program is an intensity and surface albedoweighting function calculation done by VLIDORT.There are 6 NORMALIZED surface weighting functions calculated:1. w.r.t. Ross-thin kernel - kernel factor.2. w.r.t. Li-dense kernel - kernel factor.3. w.r.t. Li-dense kernel - kernel parameter #1.4. w.r.t. Li-dense kernel - kernel parameter #2.5. w.r.t. Cox-Munk kernel - kernel factor.6. w.r.t. Cox-Munk kernel - kernel parameter #1.We are using the in/outgoing single-scatter correction with delta-M scaling(this is a standard default, and the most accurate calculation).The first call is the baseline calculation of intensity and all 6 surfaceJacobians. The threads are designed to test Jacobians by finite differencing.They are:Thread 1: Finite difference, perturb Ross-thin kernel - kernel factor.Thread 2: Finite difference, perturb Li-dense kernel - kernel factor.Thread 3: Finite difference, perturb Li-dense kernel - kernel parameter #1.Thread 4: Finite difference, perturb Li-dense kernel - kernel parameter #2.Thread 5: Finite difference, perturb Cox-Munk kernel - kernel factor.Thread 6: Finite difference, perturb Cox-Munk kernel - kernel parameter #1.The output file contains (for all 36 geometries and 5 output levels) thebaseline intensities, baseline Analytic weighting functions (AJ1, AJ2 etc.),and the corresponding finite difference weighting functions (FD1, FD2 etc ).The integrated output (actinic and regular fluxes) are output for all SZAs andall 5 output levels.6.2.2. Programs for VLIDORT vector testsSince the five vector tests are very similar to the scalar tests above, a detailed description of eachtest will not be repeated here; however, we make a few comments regarding these inputs.In these tests, the main difference is a more sophisticated treatment of aerosol in the bottom sixlayers. Here, expansion coefficients for the Greek scattering matrix were generated by a Miescattering code and are read in from the input file ProblemIII.Moms. [Mie results were generated103
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User’s GuideVLIDORTVersion 2.6Rob
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Table of Contents1H1. Introduction
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1. Introduction to VLIDORT1.1. Hist
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Table 1.1 Major features of LIDORT
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In 2006, R. Spurr was invited to co
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corrections, and sphericity correct
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Matrix Π relates scattering and in
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m⎛ P⎞l( μ)0 0 0⎜⎟mmm ⎜ 0
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In the following sections, we suppr
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of the single scatter albedo ω and
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Here T n−1 is the solar beam tran
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~ + ~ ~ (1)~ ~ + ~ ~ (2)~ ~ − ~ 1
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The solution proceeds first by the
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Linearizations. Derivatives of all
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For the plane-parallel case, we hav
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One of the features of the above ou
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L↑↑ ↑k (cot n −cotn −1)[
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Note the use of the profile-column
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βl,aer(1)(2)fz1e1βl+ ( 1−f ) z2
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For BRDF input, it is necessary for
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streams were used in the half space
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anded tri-diagonal matrix A contain
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in place to aid with the LU-decompo
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In earlier versions of LIDORT and V
Page 53 and 54: 4. The VLIDORT 2.6 package4.1. Over
Page 55 and 56: (discrete ordinates), so that dimen
Page 57 and 58: Table 4.2 Summary of VLIDORT I/O Ty
Page 59 and 60: Table 4.3. Module files in VLIDORT
Page 61 and 62: Finally, modules vlidort_ls_correct
Page 63 and 64: end program main_VLIDORT4.3.2. Conf
Page 65 and 66: $(VLID_DEF_PATH)/vlidort_sup_brdf_d
Page 67 and 68: Finally, the command to build the d
Page 69 and 70: Here, “s” indicates you want to
Page 71 and 72: The main difference between “vlid
Page 73 and 74: to both VLIDORT and the given VSLEA
Page 75 and 76: STATUS_INPUTREAD is equal to 4 (VLI
Page 77 and 78: 5. ReferencesAnderson, E., Z. Bai,
Page 79 and 80: Mishchenko, M.I., and L.D. Travis,
Page 81: Stamnes K., S-C. Tsay, W. Wiscombe,
Page 84 and 85: Table A2: Type Structure VLIDORT_Fi
Page 86 and 87: DO_WRITE_FOURIER Logical (I) Flag f
Page 88 and 89: USER_LEVELS (o) Real*8 (IO) Array o
Page 90 and 91: angle s, Stokes parameter S, and di
Page 92 and 93: DO_SLEAVE_WFS Logical (IO) Flag for
Page 94 and 95: 6.1.1.8. VLIDORT linearized outputs
Page 96 and 97: NFINELAYERS Integer Number of fine
Page 98 and 99: 6.1.2.4. VLIDORT linearized modifie
Page 100 and 101: The output file contains (for all 3
Page 104 and 105: for a 2-parameter Gamma-function si
Page 106 and 107: Remark. In VLIDORT, the BRDF is a 4
Page 108 and 109: 6.3.3.1. Input and output type stru
Page 110 and 111: Table C: Type Structure VBRDF_LinSu
Page 112 and 113: Special note regarding Cox-Munk typ
Page 114 and 115: squared parameter, so that Jacobian
Page 116 and 117: 6.4. SLEAVE SupplementHere, the sur
Page 118 and 119: is possible to define Jacobians wit
Page 120 and 121: etween 0 and 90 degrees.N_USER_OBSG
Page 122: 6.4.4.2 SLEAVE configuration file c
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