VLIDORT User's Guide

More documents

Recommendations

Info

Table of Contents1H1. Introduction to VLIDORT _____________________ 90H72H1.1. Historical and background overview ______________________________________________ 91H73H1.1.1. Polarization in radiative transfer ________________________________________________________ 92H74H1.1.2. Development of Linearized Vector RT models_____________________________________________ 93H85H1.2. Overview of the LIDORT and VLIDORT models ___________________________________ 94H86H1.2.1. LIDORT Scalar Model, Versions 1.0 to 3.3 _______________________________________________ 95H97H1.2.2. VLIDORT Development, Versions 1.0 to 2.4_____________________________________________ 96H108H1.2.3. LIDORT/VLIDORT Fortran 90 versions (3.5-3.6, 2.5-2.6) __________________________________ 97H119H1.3. LIDORT-RRS, 2-stream, Linearized Mie/Tmatrix codes ____________________________ 98H1210H1.4. Scope of document____________________________________________________________ 99H1211H2. Description of the VLIDORT model _________ 100H1532H3. The12H2.1. Theoretical Framework______________________________________________________ 101H1513H2.1.1. The vector RTE____________________________________________________________________ 102H1514H2.1.2. Azimuthal separation _______________________________________________________________ 103H1615H2.1.3. Boundary conditions ________________________________________________________________ 104H1816H2.1.4. Jacobian definitions_________________________________________________________________ 105H1917H2.1.5. Solution strategy ___________________________________________________________________ 106H1918H2.2. Discrete Ordinate Solutions and Linearizations _______________________________ 107H2019H2.2.1. Homogeneous RTE, Eigenproblem reduction_____________________________________________ 108H2020H2.2.2. Linearization of the eigenproblem _____________________________________________________ 109H2121H2.2.3. Particular Integral of the vector RTE, solar term __________________________________________ 110H2322H2.2.4. Particular Integral of the vector RTE, thermal emission_____________________________________ 111H2523H2.3. The post-processed solution ________________________________________________ 112H2624H2.3.1. Boundary value problem (BVP) and linearization _________________________________________ 113H2625H2.3.2. Source function integration ___________________________________________________________ 114H2826H2.4. Spherical and single-scatter corrections in LIDORT ___________________________ 115H3027H2.4.1. Pseudo-spherical approximation _______________________________________________________ 116H3028H2.4.2. Exact single scatter solutions _________________________________________________________ 117H3229H2.4.3. Sphericity along the line-of-sight ______________________________________________________ 118H3230H2.4.4. A more accurate outgoing sphericity correction ___________________________________________ 119H3331H2.5. Bulk (total column) atmospheric Jacobians. __________________________________ 120H37numerical VLIDORT model _____________ 121H3933H3.1. Preparation of inputs__________________________________________________________ 122H3934H3.1.1. Basic optical property inputs__________________________________________________________ 123H3935H3.1.2. Linearized optical property inputs______________________________________________________ 124H4036H3.1.3. Additional atmospheric inputs ________________________________________________________ 125H4137H3.1.4. Surface property inputs ______________________________________________________________ 126H4138H3.1.5. Thermal emission inputs _____________________________________________________________ 127H4239H3.2. Validation and benchmarking __________________________________________________ 128H4340H3.2.1. Checking against the scalar code ______________________________________________________ 129H4341H3.2.2. The Rayleigh slab problem ___________________________________________________________ 130H4342H3.2.3. Benchmarking for aerosol slab problems ________________________________________________ 131H4343H3.2.4. Weighting function verification _______________________________________________________ 132H4444H3.3. Performance considerations ____________________________________________________ 133H4545H3.3.1. The delta-M approximation___________________________________________________________ 134H455
Page 1: User’s GuideVLIDORTVersion 2.6Rob
Page 6 and 7: 52H4. The68H5. References__________
Page 8 and 9: 1.1.2. Development of Linearized Ve
Page 10 and 11: and a complete differentiation of t
Page 12 and 13: 8. (Version 2.6). The BRDF suppleme
Page 15 and 16: 2. Description of the VLIDORT model
Page 17 and 18: The six sets of “Greek constants
Page 19 and 20: 2.1.4. Jacobian definitionsAtmosphe
Page 21 and 22: Here, E is the 4 x 4 identity matri
Page 23 and 24: This procedure was not used in the
Page 25 and 26: ~L ( Ap~L ( Cp~(2)n(2)n) = −δL)
Page 27 and 28: In Eq. (2.78), p = n + 1. For surfa
Page 29 and 30: HH−+nα−−nα( x,μ)=( x,μ)=e
Page 31 and 32: 1In the plane-parallel case, we hav
Page 33 and 34: In section 2.4.1, scattering was as
Page 35 and 36: oader layers at high SZA. Further,
Page 37 and 38: transmitted direct-beam reflectance
Page 39 and 40: 3. The numerical VLIDORT model3.1.
Page 41 and 42: more algebra (chain rule differenti
Page 43 and 44: 2000]; this can be used outside the
Page 45 and 46: Verification of each stage of the l
Page 47 and 48: 3.3.4. Solution savingIn DISORT and
Page 49 and 50: This is a 2N system for the desired
Page 51: time)*100%. Tests were made for sev
Page 54 and 55:
unning the installation tests. Both
Page 56 and 57:
the use of a toggle (OMEGA_SMALLNUM
Page 58 and 59:
detail in section 4.3.2 below. Wher
Page 60 and 61:
Finally, in vlidort_aux, there are
Page 62 and 63:
and carried on with this default. I
Page 64 and 65:
FORTRAN 90/95 compiler (courtesy V.
Page 66 and 67:
# Main scalar testsSOURCES_SOLAR =
Page 68 and 69:
4.3.4. Installation and testingTo i
Page 70 and 71:
Table 4.5. Files for VLIDORT Scalar
Page 72 and 73:
(3) Return the reply to the entry "
Page 74 and 75:
There are two types of exception ha
Page 76 and 77:
IN NO EVENT SHALL RT SOLUTIONS BE L
Page 78 and 79:
Frankenberg, C., C. O'Dell, L. Guan
Page 80 and 81:
Siewert, C.E., A concise and accura
Page 83 and 84:
6. Appendices6.1 TablesThis section
Page 85 and 86:
Table A4: Type Structure VLIDORT_Fi
Page 87 and 88:
atmosphere with one cloud layer.DO_
Page 89 and 90:
component S, incident solar angle s
Page 91 and 92:
LAYER_VARY_NUMBER (n) Integer (I) N
Page 93 and 94:
Table G3-1: Type structure VLIDORT_
Page 95 and 96:
Table H4: Type Structure VLIDORT_Li
Page 97 and 98:
DO_BVP_TELESCOPING Logical Do bound
Page 99 and 100:
We now turn to more specific inform
Page 101 and 102:
geometries and all 5 output levels.
Page 103 and 104:
1. Ross-thin kernel - kernel factor
Page 105 and 106:
In order to develop solutions in te
Page 107 and 108:
given incident and reflected angles
Page 109 and 110:
these are the BRDF parameters. E.g.
Page 111 and 112:
6.3.3.2 BRDF configuration file cha
Page 113 and 114:
22 1 ⎡ α ⎤P ( α,σ ) = exp⎢
Page 115 and 116:
the models. Surface reflectance Jac
Page 117 and 118:
We will also consider the simpler s
Page 119 and 120:
environment will then call the subr
Page 121 and 122:
Table B2: Type Structure VSLEAVE_In
show all

VLIDORT User's Guide

Create successful ePaper yourself

Delete template?

Save as template?