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Development of a data processing chain for a spatial heterodyne interferometer measuring temperature in the mesosphere and lower thermosphere / von Konstantin Ntokas. Wuppertal, 2023
Inhalt
Introduction
Radiative transfer of the oxygen A-band emissions
Production mechanisms of the oxygen A-band emission
Rotational structure of the oxygen A-band emission
Radiative Transfer
Mathematical modeling of a spatial heterodyne interferometer for temperature derivation
Spatial heterodyne interferometer
Fourier-transform spectroscopy
Fourier transformation
Concept of instrument line shape
Sampling theory
Apodization
Signal and noise analysis
Temperature retrieval
Temperature retrieval using radiative transfer model
Temperature retrieval of a homogeneous gas cell
Chapter summary
Assessment of the instrument's performance
Forward simulation
Test data set extracted from HAMMONIA
Results of oxygen A-band emission simulations
Comparison with satellite data
Performance of an ideal instrument
Assessment and correction of instrument errors
Detector-specific processing
Image distortion correction
Barber's pole correction
Baseline and amplitude correction
Phase correction
Littrow calibration
End-to-End simulation based on monochromatic calibration data
Chapter summary
Split field of view to resolve horizontal temperature variations
Methodology and noise error analysis
Sensitivity to horizontal temperature variations
Retrieval results of split field of view processing
Effect of apodization onto split field of view processing
Multiple split field of view
Chapter summary
Summary and outlook
Appendices
List of abbreviations
List of mathematical notation
Overview of spaceborne instruments used for gravity wave research
Number density of oxygen in excited and ground state
Implementation, limitations and possible improvements of the radiative transfer model
Implementation
Limitations and possible improvements
Sensitivity study of the radiative transfer model
Vertical discretization
Modeling the top of the atmosphere
Line shape
Spectral discretization
Additional material to Norton-Beer apodization
Derivation of the analytical Fourier transform of the Norton-Beer apodization
Python toolbox for Norton-Beer apodization and its Fourier transform
Shot noise propagation into the spectral space
Measurement error and a priori precision matrix
Measurement error precision matrix
A priori precision matrix
Mathematical background on Barber's pole
Example of amplitude, baseline and visibility estimation from monochromatic measurements
Effectiveness of baseline and amplitude estimation
Effectiveness of phase estimation
Acknowledgments
Bibliography