Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems
Abstract
:1. Literature review and introduction
2. Theoretical Analysis
2.1. Frequency Conversion Near the Spectral Maximum of Artificial Signals
2.1.1. Correlation between the Spectral Line Dynamics at the Basic and Doubled Frequencies for the Signal Consisting of Sub-Pulses with Three Narrow Spectra and One Broad Spectrum (Example 1)
2.1.2. Correlation between the Spectral Line Dynamics at the Basic and Doubled Frequencies for the Signal Consisting of Sub-Pulses with Three Broad Spectra and One Narrow Spectrum (Example 2)
2.2. Frequency Conversion Near Minimum of the Pulse Spectrum
2.2.1. The Artificial Signals Consisting from the Sub-Pulses (Examples 1 and 2)
2.2.2. Artificial Signal without Sub-Pulse Structure (Example 3)
3. Experimental Setups
4. Results of the Experiment Using a Broadband THz Pulse
- RDX: ν = 0.82, 1.05, 1.50, 1.96, 2.20, 3.08, 6.73, 10.35, 11.34, 12.33, 13.86, 14.52, 17.74, 18.12, 20.13 THz
- HMX: ν = 1.78, 2.51, 2.82, 5.31, 6.06, 11.28, 12.00, 12.54, 12.96, 13.74, 14.55, 18.15, 18.60, 19.38 THz;
- 2,4-DNT: ν = 0.45, 0.66, 1.08, 2.52, 4.98, 8.88, 10.56, 11.58, 12.81, 14.34, 15.69, 19.05, 20.04 THz; and,
- 2,6-DNT: ν = 1.10, 1.35, 1.56, 2.50, 5.61, 6.75, 9.78, 11.43, 13.32, 13.89, 15.39, 17.25 THz.
5. Results of the Experiment Using a Narrowband CW THz Radiation
5.1. Aspirin Pellet
5.2. Piece of Soap
5.3. Sheet of Paper
5.4. Polyethylene Bag
5.5. Chocolate Bar
6. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
Appendix A. Fourier–Gabor Window Transform
Appendix B. Computation of the Integral Spectral Intensity Using the Time-Dependent Spectral Brightness
| 0.7 | 0.9 | 1.05 | |||
0.05 | 3.975·10−2 | 4.319·10−3 | 2.006·10−2 | |||
0.05 | 3.989·10−2 | 4.276·10−3 | 2.000·10−2 | |||
0.01 | 3.981·10−2 | 4.284·10−3 | 2.003·10−2 |
Appendix C. Influence of Window Shift on the Accuracy of Constructing Spectral Line Dynamics
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Example | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 4 | 4 | 1 | 1 | 10 | 25 | 42 | 55 | 8 | 2 | 16 | 8 |
2 | 1 | 0.8 | 0.4 | 0.2 | 10 | 14 | 20 | 25 | 1 | 2 | 4 | 1 |
Example 1 | Example 2 | ||||||||
---|---|---|---|---|---|---|---|---|---|
0.8 | 1.2 | 1.4 | 1.8 | 0.8 | 1.2 | 1.4 | 1.8 | ||
0.4 | 0.565 | 0.884 | 0.796 | 0.345 | 0.955 | 0.642 | 0.448 | 0.54 | |
0.6 | 0.839 | 0.688 | 0.718 | 0.418 | 0.886 | 0.732 | 0.576 | 0.63 | |
2.2 | - | - | - | - | 0.508 | - | 0.718 | - | |
3.2 | - | - | 0.66 | 0.5 | - | - | - | - |
Example 1 | Example 2 | |||||
---|---|---|---|---|---|---|
1.345 | 1.46 | 1.675 | 1.06 | 1.31 | 1.53 | |
2.74 | 2.86 | 3.34 | 2.1 | 2.67 | 3.05 | |
0.9 | 0.9 | 0.79 | 0.94 | 0.97 | 0.93 |
0.5 | 0.8 | 0.8 | 0.8 | 0.5 | 0.8 | |
0.2 | 0.2 | 1.4 | 1.8 | 0.95 | 1.6 | |
0.966 | 0.925 | 0.923 | 0.916 | 0.904 | 0.922 |
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Trofimov, V.A.; Wang, N.-N.; Qiu, J.-H.; Varentsova, S.A. Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems. Sensors 2020, 20, 1859. https://doi.org/10.3390/s20071859
Trofimov VA, Wang N-N, Qiu J-H, Varentsova SA. Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems. Sensors. 2020; 20(7):1859. https://doi.org/10.3390/s20071859
Chicago/Turabian StyleTrofimov, Vyacheslav A., Nan-Nan Wang, Jing-Hui Qiu, and Svetlana A. Varentsova. 2020. "Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems" Sensors 20, no. 7: 1859. https://doi.org/10.3390/s20071859