Abstract
Up to now, laser self-mixing interferometry (SMI) has been widely applied to numerous scientific and industry fields. A easily negligible parameter, linewidth enhancement factor \(\alpha \), influences the inclination of SMI signals, and larger \(\alpha \) generally indicates more inclined fringes. It is demonstrated in the paper that solid-state lasers (SSL) have smaller linewidth enhancement factors compared with semiconductor ones, which interrupt the movement reconstruction of external targets. For Nd:YAG SSLs, \(\alpha \) is experimentally analyzed to be around one, resulting in less tilted SMI fringes, and the direction discrimination property of SMI becomes less obvious even when a smooth target supplies more amount of feedback light. In the Nd:YAG SSL scheme and for harmonic vibrations, a simple and effective method is also proposed to obtain the frequency and amplitude information of external targets. Simulations and experiments show that the method can achieve the frequency accuracy within 1% and the amplitude accuracy better than 3%.
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References
Donati, S., Norgia, M.: Overview of self-mixing interferometer applications to mechanical engineering. Opt. Eng. 57, 051506 (2018)
Li, J., Niu, H., Niu, Y.: Laser feedback interferometry and applications: a review. Opt. Eng. 56, 050901 (2017)
Ruan, Y., Liu, B., Yu, Y., Xi, J., Guo, Q., Tong, J.: Improving measurement sensitivity for a displacement sensor based on self-mixing effect. IEEE Photon. J. 10, 1–10 (2018)
Zhu, W., Chen, Q., Wang, Y., Luo, H., Wu, H., Ma, B.: Improvement on vibration measurement performance of laser self-mixing interference by using a pre-feedback mirror. Opt. Lasers Eng. 105, 150–158 (2018)
Zhang, Z., Sun, L., Li, C., Huang, Z.: Laser self-mixing interferometry for micro-vibration measurement based on inverse Hilbert transform. Opt. Rev. 27, 90–97 (2020)
Wang, D., Zhou, J., Wang, C., Wang, J., Deng, H., Lu, L.: Measurement of the absolute distance inside an all fiber DBR laser by self mixing technique, p. 1025022. China, Chengdu (2017)
Lin, H., Chen, J., Xia, W., Hao, H., Guo, D., Wang, M.: Enhanced self-mixing Doppler velocimetry by fiber Bragg grating. Opt. Eng. 57, 051504 (2018)
Contreras, V., Lönnqvist, J., Toivonen, J.: Detection of single microparticles in airflows by edge-filter enhanced self-mixing interferometry. Opt. Exp. 24, 260908 (2016)
Zhu, K., Lu, Y., Zhang, S., Ruan, H., Usuki, S., Tan, Y.: Ultrasound modulated laser confocal feedback imaging inside turbid media. Opt. Lett. 43, 1207–1210 (2018)
Gao, Y., Yu, Y., Xi, J., Guo, Q.: Simultaneous measurement of vibration and parameters of a semiconductor laser using self-mixing interferometry. Appl. Opt. 53, 4256–4263 (2014)
Otsuka, K.: Self-mixing thin-slice solid-state laser metrology. Sensors 11, 2195–2245 (2011)
Zhang, S., Zhang, S., Tan, Y., Sun, L.: A microchip laser source with stable intensity and frequency used for self-mixing interferometry. Rev. Sci. Instrum. 87, 053114 (2016)
Yu, Y., Xi, J., Li, E., Chicharo, J., Bosch, T.: Measuring Multiple Parameters in a Self-Mixing Optical Feedback System, in Conference on Optoelectronic and Microelectronic Materials and Devices, 2004, pp. 253–256. Brisbane, Australia, IEEE (2004)
Xi, J., Yu, Y., Chicharo, J., Bosch, T.: Estimating the parameters of semiconductor lasers based on weak optical feedback self-mixing interferometry. IEEE J. Quant. Electron. 41, 1058–1064 (2005)
Yu, Y., Giuliani, G., Donati, S.: Measurement of the linewidth enhancement factor of semiconductor lasers based on the optical feedback self-mixing effect. IEEE Photon. Technol. Lett. 16, 990–992 (2004)
Yu, Y., Xi, J., Chicharo, J.F., Zhao, Y.: A new approach for measuring the line-width enhancement factor, in 2008 International Conference on Intelligent Sensors, Sensor Networks and Information Processing, pp. 471–474. IEEE, Sydney, Australia (2008)
Wei, L., Xi, J., Yu, Y., Chicharo, J.F.: Linewidth enhancement factor measurement based on optical feedback self-mixing effect: a genetic algorithm approach. J. Opt. A Pure Appl. Opt. 11, 045505 (2009)
Ahmed, I., Zabit, U.: Fast estimation of feedback parameters for a self-mixing interferometric displacement sensor, in 2017 International Conference on Communication, Computing and Digital Systems (C-CODE), pp. 407–411. Islamabad, Pakistan, IEEE (2017)
Zabit, U., Bernal, O.D., Bosch, T.: Self-mixing laser sensor for large displacements: signal recovery in the presence of speckle. IEEE Sens. J. 13, 824–831 (2013)
Bernal, O.D., Seat, H.C., Zabit, U., Surre, F., Bosch, T.: Robust detection of non-regular interferometric fringes from a self-mixing displacement sensor using Bi-wavelet transform. IEEE Sens. J. 16, 7903–7910 (2016)
Jiang, C., Li, C., Wang, Y.: Improved transition detection algorithm for a self-mixing displacement sensor. Optik 127, 5603–5612 (2016)
Szwaj, C., Lacot, E., Hugon, O.: Large linewidth-enhancement factor in a microchip laser. Phys. Rev. A 70, 033809 (2004)
Donati, S., Giuliani, G., Merlo, S.: Laser diode feedback interferometer for measurement of displacements without ambiguity. IEEE J. Quant. Electron. 31, 113–119 (1995)
Xia, W., Wang, M., Yang, Z., Guo, W., Hao, H., Guo, D.: High-accuracy sinusoidal phase-modulating self-mixing interferometer using an electro-optic modulator: development and evaluation. Appl. Opt. 52, B52–B59 (2013)
Acknowledgements
This work was supported by National Natural Science Foundation of China (Program No. 61803302), Natural Science Foundation of Shaanxi Province (Program No. 2017JQ6062) and Natural Science Foundation of Shaanxi Provincial Department of Education (Program No. 19JK0589).
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Kou, K., Wang, C. Influence of linewidth enhancement factor \(\alpha \) on self-mixing interferometry in solid-state lasers. Opt Rev 28, 99–105 (2021). https://doi.org/10.1007/s10043-020-00638-0
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DOI: https://doi.org/10.1007/s10043-020-00638-0