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Accurate Calibration of Raman Systems pp 101–149Cite as

Calibration Based on Theoretical Intensities and Spectral Sensitivity (Method I)

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Part of the book series: Springer Theses ((Springer Theses))

Abstract

In the previous chapter the calibration strategy based on theoretical intensities and spectral sensitivity was introduced. Two main tasks have to be undertaken in order to achieve a reliable calibration. These two tasks will now be motivated individually.

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Notes

  1. 1.

    As an example: \(\theta _\mathrm{{min}}\) and \(\theta _\mathrm{{max}}\) are functions of the variables \(z\) and \(\varphi \).

  2. 2.

    Note that the same results can be obtained by using Mueller calculus (see e.g. Toro Inesta [24] or Collett [25]).

  3. 3.

    The limiting case \(\rho _\mathrm{{SP0SA}}=0\) is obtained for \(b^{(2)}\gamma ^2=0\) in Eq. 5.10 while \(\rho _\mathrm{{SP0SA}}=3/4\) results from \(a^2=0\).

  4. 4.

    The complete analysis is implemented in C++ using ROOT functions. The program is made available under http://depoltools.sourceforge.net.

  5. 5.

    Note that nitrogen was used in investigations like the described one, since it is easily available as Raman sample from ambient air.

  6. 6.

    The full tabulation of all data sets measured at the TLK and Swansea is found in Appendix G.

  7. 7.

    Note that in this case the “normal distribution” is not normalized to an area equal to \(1\).

  8. 8.

    Holzer et al. also measured \(\mathrm{{D}}_{2}\).

  9. 9.

    The derivation is given in detail in Appendix F.

  10. 10.

    To give an example, the MonLARA system was then also equipped with a sheet polarizer in the light collection system, which is necessary in order to choose the correct polarization composition of the scattered light in the intensity calculations.

  11. 11.

    NIST = American National Institute of Standards and Technology.

  12. 12.

    In the case of unpolarized emission, no modulation would be expected, while in the case of fully polarized emission, a modulation of \(100\) % of the amplitude would be assumed.

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Authors and Affiliations

  1. Tritium Laboratory Karlsruhe, Karlsruhe Institute of Technology, Institute for Technical Physics, Eggenstein-Leopoldshafen, Germany

    Magnus Schlösser

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Schlösser, M. (2014). Calibration Based on Theoretical Intensities and Spectral Sensitivity (Method I). In: Accurate Calibration of Raman Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-06221-1_5

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