A New Nonlinear Photothermal Iterative Theory for Port-Wine Stain Detection
Abstract
:1. Introduction
2. Theoretical Analysis
2.1. Theoretical Model
2.2. Nonlinear Thermal Diffusion Equation
2.3. Iterative Numerical Method for Solving the Nonlinear Heat Diffusion Equation
3. Numerical Results and Discussion
4. Conclusions
- (1)
- The rates of change with frequency, thickness, and optical energy intensity are larger for higher−order harmonics than lower-order harmonics; higher−order harmonics are more sensitive to sample detection than lower-order harmonics.
- (2)
- For the same parameter values, the proposed new numerical iterative method has greater sensitivity and a wider frequency band than the perturbation method. Furthermore, the calculation time of our proposed method will not drastically increase when additional high−order harmonics are included.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Layers | d (mm) | β (mm−1) | σ (mm−1) | g | ρ (g/cm−3) | C (J/(g. K)) | K0 (mW/(cm. K)) |
---|---|---|---|---|---|---|---|
Stratum corneum | 0.01 | 0.00091 | 18.95 | 0.8 | 1.2 | 3.59 | 2.4 |
Living epidermis | 0.08 | 0.13 | 18.95 | 0.8 | 1.2 | 3.59 | 2.4 |
Papillary dermis | 0.10 | 0.105 | 11.65 | 0.8 | 1.09 | 3.35 | 4.2 |
Upper blood plexus | 0.08 | 0.15875 | 15.485 | 0.818 | 1.09 | 3.35 | 4.2 |
Reticular dermis | 1.50 | 0.105 | 11.65 | 0.8 | 1.09 | 3.35 | 4.2 |
Deep blood plexus | 0.07 | 0.4443 | 46.165 | 0.962 | 1.09 | 3.35 | 4.2 |
Dermis | 0.16 | 0.105 | 11.65 | 0.8 | 1.09 | 3.35 | 4.2 |
Hypodermis | 3.00 | 0.009 | 11.44 | 0.9 | 1.21 | 2.24 | 1.97 |
Muscle tissues | 3.00 | 0.029 | 7.13 | 0.9 | 1.075 | 3.5 | 4.5 |
PWS | 0.001~1.5 | 0.15875 | 46.7 | 0.99 | 1.0 | 3.6 | 5.3 |
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Cao, N.; Liang, H.; Zhang, R.; Li, Y.; Cao, H. A New Nonlinear Photothermal Iterative Theory for Port-Wine Stain Detection. Int. J. Environ. Res. Public Health 2022, 19, 5637. https://0-doi-org.brum.beds.ac.uk/10.3390/ijerph19095637
Cao N, Liang H, Zhang R, Li Y, Cao H. A New Nonlinear Photothermal Iterative Theory for Port-Wine Stain Detection. International Journal of Environmental Research and Public Health. 2022; 19(9):5637. https://0-doi-org.brum.beds.ac.uk/10.3390/ijerph19095637
Chicago/Turabian StyleCao, Na, Hongtao Liang, Ruoyu Zhang, Yanhua Li, and Hui Cao. 2022. "A New Nonlinear Photothermal Iterative Theory for Port-Wine Stain Detection" International Journal of Environmental Research and Public Health 19, no. 9: 5637. https://0-doi-org.brum.beds.ac.uk/10.3390/ijerph19095637