## mie_derivs_ln.pro## PurposeThe A the derivation of expressions for the analytical derivatives of Mie scattering terms is covered by: ## Calling the procedure
The input parameters in the above call are: `N`: Number density of the particle distribution.`Rm`: Median radius of the particle distribution (in microns).`S`: Spread of the distribution, such that the standard deviation of ln(r) is ln(S)`wavenumber`: Wavenumber of light, defined as 1/wavelength. This must be a positive scalar and it's units should match those of`Rm`(ie. if`Rm`is in microns,`wavenumber`should be in 1/microns).`Cm`: Complex refractive index of the particle(s). Only one refractive index value can be used in each call to the procedure and must take the form complex(a,-b) (where a is the real part of the refractive index, and b is the imaginary (or absorptive) part, and is either zero or negative).`Dqv`: Cosines of the scattering angles at which to calculate the intensity functions etc. If specified it**must**be vector of type float or double (although it can have only one element).
`Bext`: Volume extinction coefficient.`Bsca`: Volume scattering coefficient.`dBextdN`: Derivative of the extinction coefficient wrt the number density.`dBextdRm`: Derivative of the extinction coefficient wrt the mean radius.`dBextdS`: Derivative of the extinction coefficient wrt the spread.`dBscadN`: Derivative of the scattering coefficient wrt the number density.`dBscadRm`: Derivative of the scattering coefficient wrt the mean radius.`dBscadS`: Derivative of the scattering coefficient wrt the spread.
`i1`: First intensity function - intensity of light polarised in the plane perpendicular to the directions of incident light propagation and observation. Only calculated if Dqv is specified.`i2`: Second intensity function - intensity of light polarised in the plane parallel to the directions of incident light propagation and observation. Only calculated if Dqv is specified.`di1dN`: Derivatives of the first intensity function wrt the number density.`di1dRm`: Derivatives of the first intensity function wrt the mean radius.`di1dS`: Derivatives of the first intensity function wrt the spread.`di2dN`: Derivatives of the second intensity function wrt the number density.`di2dRm`: Derivatives of the second intensity function wrt the mean radius.`di2dS`: Derivatives of the second intensity function wrt the spread.
Dqv and will only be calculated if Dqv is specified.
## Limitations and dependencesIt should be noted that is a very new routine and has yet to be extensively tested. This procedure calls the This procedure also calls the
## Download source codeThe source code for this routine and supporting routines is part of the EODG Mie scattering distribution which may be downloaded as a gzipped tar file here.Maintained by Greg McGarragh |
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Earth Observation Data Group, Department of Physics, University of Oxford. | Page last updated: @15:18 GMT 07-Jun-2022 | |