How many wavelength channels do we need in Thomson scattering diagnostics?

Details How many wavelength channels do we need in Thomson scattering diagnostics? How many wavelength channels do we need in Thomson scattering diagnostics?

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999rsci...70.3780n&link_type=abstract

Review of Scientific Instruments, Volume 70, Issue 9, pp. 3780-3781 (1999).

Mathematics

Logic

5

Optical Measurements, Metrological Applications, Optical Frequency Synthesizers For Precision Spectroscopy

Scientific paper

The necessary number of wavelength channels is investigated in incoherent Thomson scattering diagnostics. The measurement errors (σ) are evaluated for a realistic case and their lower limits (σ~) are given in explicit forms. For a given number of wavelength channels, optimal channel allocation in the wavelength space is sought by minimizing the average relative errors. As a scale of the goodness of measurement, we introduce the ratio <σ~/σ> averaged over the electron temperature of interest. This quantity ranges from 0 to 1 and tends to 1 as the lowest achievable error is approached. If we conclude that <σ~/σ>>=0.9 is sufficient, then for a typical ruby laser system measuring 400-700 nm, seven channels is an adequate number for covering the electron temperature of 0.01-10 keV and five channels for 0.1-10 keV.

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