SPAMS actual measurement-based non-linear inversion method of optical parameters of uniform spherical particles of aerosol based on
A technology of spherical particles and optical parameters, applied in the field of atmospheric environmental science, can solve problems such as difficult convergence, lower analysis efficiency and parameter accuracy, and high dependence on initial values, and achieve the effect of improving efficiency and parameter accuracy
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Embodiment 1
[0079] This embodiment introduces the calculation process of the single particle light scattering theory of the SPAMS of the present invention.
[0080] According to the optical scattering properties of the atmosphere, the present invention uses the Mie scattering theory and combines the geometric parameters of the SPAMS ellipsoid mirror to analyze the single particle optical scattering process in the mass spectrometer, thereby establishing the corresponding theoretical calculation formula and numerical calculation method, and designing and A corresponding fast calculation program is written.
[0081] Assuming linearly polarized incident radiation, the optical scattering response of SPAMS is:
[0082] R SPAMS =R AS -R OA (1)
[0083] Since SPAMS cannot observe all ranges of scattering, it is necessary to calculate the optical scattering response of SPAMS according to the effective angle range of the SPAMS beam collection mirror. This integral calculation process can be ...
Embodiment 2
[0106] This embodiment introduces the process of obtaining the linear relationship between measured scattering data and theoretical scattering data through linear fitting in the present invention.
[0107] In order to compare the theoretical optical scattering response of SPAMS with the field measured response, it is necessary to derive the relationship function between the measured and theoretical optical scattering data. Since photomultiplier tubes operate in the linear range and A / D converters are quantized, R means The pulse range and theoretical response show a linear relationship. Therefore, R can be obtained from the linear fit of the measured pulse and the theoretical response means converted to R SPAMS,means as a function of , for direct comparison with the theoretical response. Among them, the linear relationship expression between the measured scattering data obtained by linear fitting and the theoretical scattering data is:
[0108] R SPAMS,means = R means G+...
Embodiment 3
[0111] This example introduces the relationship between the optical physical properties of the particles and the particle size and chemical composition.
[0112] The present invention utilizes the extended single particle aerosol mass spectrometer to perform laboratory simulation and field observation to obtain theoretical and measured data respectively, and then compare and analyze the optical property data of single particle, so as to obtain the optical physical properties and particle size and chemical composition relationship.
[0113] All measured and collected samples are calibrated using the above calibration method, the impulse response is converted into a scattering cross section, and then fitted with the theoretical response.
[0114] The parameter inversion fitting process is to use the nonlinear optimization method to obtain the minimum value of the error function SqErr. Among them, the expression of the objective function SqErr is:
[0115] SqErr ...
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