VLIDORT User's Guide

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Table C: Type Structure VBRDF_LinSup_InputsName Kind/Intent DescriptionDO_KERNEL_FACTOR_WFS (k) Logical (I) Flags for weighting functions w.r.t. linearcombination coefficient k in BRDF kernel sum.DO_KERNEL_PARAMS_WFS (k,b) Logical (I) Flags for weighting functions for (nonlinear)parameter b in BRDF kernel k.DO_KPARAMS_DERIVS (k) Logical (I) If set for a given BRDF kernel k, the chosenweighting functions for that BRDF kernel will bedone.N_SURFACE_WFS Integer (I) Sum of the following two entries. Should be setequal to N_SURFACE_WFS in linearizationcontrol Type structure (Table A12). Should notexceed dimension MAX_SURFACEWFS.N_KERNEL_FACTOR_WFS Integer (I) Number of weighting functions w.r.t. linearcombination coefficients in BRDF kernel sumN_KERNEL_PARAMS_WFS Integer (I) Number of weighting functions for (nonlinear)BRDF parameters.Table D: Type structure VBRDF_LinSup_OutputsName Kind/Intent DescriptionLS_EXACTDB_BRDFUNC (q,S,a,b,s) Real*8 (O) Linearized exact direct bounce BRDF for Stokesvector component S, incident solar angle s,reflected line-of-sight angle a, and relativeazimuth b, w.r.t. surface property q.LS_BRDF_F_0 (q,M,S,k,s) Real*8 (O) Linearized Fourier components M of total BRDFfor Stokes vector component S, incident solarangle s and reflected discrete ordinate k, w.r.t.surface property q.LS_BRDF_F (q,M,S,k,j) Real*8 (O) Linearized Fourier components M of total BRDFfor Stokes vector component S, incident discreteordinate j and reflected discrete ordinate k, w.r.t.surface property q.LS_USER_BRDF_F_0 (q,M,S,a,s) Real*8 (O) Linearized Fourier components M of total BRDFfor Stokes vector component S, incident solarangle s and reflected line-of-sight zenith angle a,w.r.t. surface property q.LS_USER_BRDF_F (q,M,S,a,j) Real*8 (O) Linearized Fourier components M of total BRDFfor Stokes vector component S, incident discreteordinate j and reflected line-of-sight zenith anglea, w.r.t. surface property q.LS_EMISSIVITY (q,S,k) Real*8 (O) Linearized surface emissivity for Stokes vectorcomponent S and emitted discrete ordinate k,w.r.t. surface property q.LS_USER_EMISSIVITY (q,S,a) Real*8 (O) Linearized surface emissivity for Stokes vectorcomponent S and emitted line-of-sight zenithangle a, w.r.t. surface property q.110
6.3.3.2 BRDF configuration file character stringsTable E1: File-read Character strings for some variables in BRDF Supplement Table AName Kind Character string in Configuration fileDO_SOLAR_SOURCES Logical Use solar sources?DO_USER_STREAMS Logical Use user-defined viewing zenith angles?DO_BRDF_SURFACE Logical Do BRDF surface?DO_SURFACE_EMISSION Logical Do surface emission?NSTOKES Integer Number of Stokes vector componentsNSTREAMS Integer Number of half-space streamsNBEAMS Integer Number of solar zenith anglesBEAM_SZAS Real*8 Solar zenith angles (degrees)N_USER_RELAZMS Integer Number of user-defined relative azimuth anglesUSER_RELAZMS Real*8 User-defined relative azimuth angles (degrees)N_USER_STREAMS Integer Number of user-defined viewing zenith anglesUSER_ANGLES_INPUT Real*8 User-defined viewing zenith angles (degrees)DO_OBSERVATION_GEOMETRY Logical Do Observation Geometry?N_USER_OBSGEOMS Integer Number of Observation Geometry inputsUSER_OBSGEOM_INPUT Real*8 Observation Geometry inputsN_BRDF_KERNELS Integer Number of BRDF kernelsNSTREAMS_BRDF Integer Number of BRDF azimuth anglesDO_SHADOW_EFFECT Logical Do shadow effect for glitter kernels?DO_EXACT Logical Do Overall-Exact kernels?DO_EXACT_ONLY Logical Do Exact-only (no Fourier) kernels?DO_GLITTER_MSRCORR Logical Do multiple reflectance for All glitter kernels?DO_GLITTER_MSRCORR_EXACTONLY Logical Do multiple reflectance for Exact-only glitterkernels?GLITTER_MSRCORR_ORDER Integer Multiple reflectance scattering order for glitterkernelsGLITTER_MSRCORR_NMUQUAD Integer Multiple reflectance scattering; Polar quadratureorderGLITTER_MSRCORR_NPHIQUAD Integer Multiple reflectance scattering; Azimuthquadrature orderTable E2: File-read Character strings for grouped basic kernel variables inBRDF Supplement Table AName Kind Character string in Configuration fileBRDF_NAMESCharacter*10WHICH_BRDFBRDF_FACTORSN_BRDF_PARAMETERSBRDF_PARAMETERSIntegerReal*8IntegerReal*8Kernel names, indices, amplitudes, # parameters, parametersThese quantities are formatted together for each kernel usingFormat(A10,I2,F6.2,I2,3F12.6). See example below..Example of BRDF inputs: configuration file settings for 3 BRDF kernels asindicated:BRDFSUP - Kernel names, indices, amplitudes, # parameters, parametersCox-Munk 9 0.10 2 0.079800 1.779556 0.000000Ross-thin 2 0.30 0 0.000000 0.000000 0.000000Li-dense 5 0.10 2 2.000000 1.000000 0.000000111
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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
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4. The VLIDORT 2.6 package4.1. Over
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(discrete ordinates), so that dimen
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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 102 and 103: The first call is the baseline calc
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 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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