Optics

| Peer-Reviewed |

Modeling of Vibration Sensing with Variable Fabry-Perot System

Received: 11 December 2012    Accepted:     Published: 20 February 2013
Views:       Downloads:

Share This Article

Abstract

The application of Fabry-Perot (FP) system for vibration sensing is theoretically analyzed and successfully demonstrated by simulation. The separation between the reflecting mirrors of the FP is varying in accordance with the sensed vibration that is in contact with the freely movable mirror. The variable separation is modeled as a small uniform sinusoidal perturbation that satisfies the constructive multiple beam interference inside the cavity. The variation of the separation between the two mirrors of the FP induces a phase variation to the reflected laser beam employed in the system. The constructed signals by signals processing and transformation reveal the effectiveness of the method for vibration sensing and hence the applicability for gravitational and seismic waves monitoring.

DOI 10.11648/j.optics.20130201.11
Published in Optics (Volume 2, Issue 1, February 2013)
Page(s) 1-6
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fabry Perot, Vibration- Interference, Signal, FFT- Perturbation

References
[1] W. Demtröder, "Laser Spectroscopy Vol. 1: – Basic Principles", Springer-Verlag, Berlin/Heidelberg, 4th edition, 144-156 (2008).
[2] G.Chung, D.Phan." Finite element modeling of surface acoustic waves in piezoelectric thin films". J. Korean Phys. Soc., 57, 446-450(2010).
[3] T. W. Du Bosq, A. V. Muravjov, R. E. Peale, and C. J. Fre-dricksen, "Multi-layer silicon cavity mirrors for the far-infrared p-Ge laser," Appl. Optics 44, 7191-7195, 2005.
[4] Lee J.Y; and J. W. Hahn, H-W. Lee, "Spatiospectral transmission of a plane mirror Fabry- Perot interferometer with nonuniform finite-size diffraction beam illumination", J.Opt.Soc.Am.A 19 #5, (2002).
[5] Johan M. Muller, "Multimirror Fabry-Perot Interferometers," Journal of Optical Society of America. A, Vol. 2, No. 8, 1985.
[6] Marinelli, W; C. Gittins, A. Gelb, and B. Green, "A Tunable Fabry-Perot Etalon-Based Long-Wavelength Infrared Imag-ing spectroradiometer", Applied Optics 38(16), 2594-2604 (2000).
[7] K. F. Hale, "An Optical-fiber Fatigue Crack-detection and Monitoring System", Smart Materials and Structures, 2, 156-161 (1992).
[8] Eric Udd, Fiber Optic Sensors, 1st ed. (John Wiley & Sons, Inc, New York, NY, 139-153, 325-347, 375-379(1991).
[9] K. A. Murphy, M. F. Gunther, A. M. Vengsarkar, and R.O. Claus, "Quadrature Phase-Shifted, Extrinsic Fabry-Perot Optical Fiber Sensors", Optics Letters 16(4), 273-275 (1991).
[10] K. Liu and R. M. Measures, " Signal Processing Techniques for Interferometric Fiber-Optic Strain Sensor", Journal of Intelligent Material Systems and Structure, 3, 423-461 (1992).
[11] T. Valis, D Hogg, and R. M. Measures,"Fiber-Optic Fa-bry-Perot Strain Rosettes", Smart Materials and Structures, 1, 227-232 (1992).
[12] L. Kozielski, M. Adamczyk, J. Erhart, K. Rusek, "PLZT-based light controlled piezoelectric transformer". Ferroelectrics, 417, 161–169(2011).
[13] X. Ni, P. Rizzo, J. Yang, D. Katri, , C. Daraio, "Monitoring the hydration of cement using highly nonlinear solitary waves". NDT E Int, 52, 76–85(. 2012).
[14] F. Akhavan, S. E. Watkins and K. Chandrashekhara, "Mea-surement and Analysis of Impact-Induced Strain using Ex-trinsic Fabry-Perot Optic Sensors", Smart Materials and Structures, 7(6), 745-751, (1998).
[15] S.E. Watkins, G. W. Sanders, F. Akhavan, and K. Chandra-shekhara, "Modal Analysis using Fiber Optic Sensors and Neural Networks for Prediction of Composite Beam Dela-mination," Smart Materials and Structures, 11(4), 489-495, (2002).
[16] H. Tsai, D. Wu, T. Chiang, H. Chen "Robust design of saw gas sensors by taguchi dynamic method". Sensors, 9, 1394–1408(2009).
[17] R. Kshetrimayum, R.Yadava, R. Tandon." Mass sensitivity analysis and designing of surface acoustic wave resonators for chemical sensors". Meas. Sci. Technol. 2009, 20, doi:10.1088/0957-0233/20/5/055201.
[18] T. W. Du Bosq, A. V. Muravjov, and R. E. Peale, "High reflectivity intracavity Bragg mirrors for the far-infrared p-Ge laser," Terahertz for Military and Security ApplicationsII, ed.by R. J. Hwu, D. L. Woolard, Proc. SPIE 5411, 167-173,(2004).
[19] D. Hogg, D. Janzen, T. valis, and R.M. Measures, "Devel-opment of a Fiber Fabry-Perot Strain Gauge", Smart Struc-tures and Skins, 1991, Proc. SPIE, 1588, 300-307 (1991).
[20] Z. Xiao, O. Engstrom and N. Vidovic, "Diaphragm Deflec-tion of Silicon Interferometer Structures used as Pressure Sensors," Sensors and Actuators, Vol. 58, pp. 99-107, 1997.
[21] Glenn Beheim, "Fiber-Optic Temperature Sensor Using a Thin-Film Fabry-Perot Interferometer" NASA Technical Memorandum 107459, Lewis Research Center, 1997.
[22] Youngmin Kim and D. P. Neikirk, "Micromachined Fa-bry-Perot Cavity Pressure Transducer," IEEE Photonics Technology Letters 7, Dec., pp. 1471-1473 (1995).
[23] M. Jiang and E. Gerhard, "A Simple strain Sensor Using a Thin Film as a Low-finesse Fiber-Optic Fabry-Perot Inter-ferometer", Sensors and Actuators A, Vol. 88, pp.41-46, 2001.
[24] O. Tohyama, M. Kohasi, M. Sugihara, H. Itoh, "A fiber-optic pressure microsensor for biomedical applications", Sensors and Actuators, A 66, 150 – 154, 1998.
[25] O. Tohyama, S. Maeda, and H. Itoh, "Fiber-optic tactile microsensorfor detecting the position of the tip of a fibers-cope," IEEE J. Select.Topics Quantum Electron., vol. 5, pp. 115–118, Jan.–Feb. 1999.
[26] Roger Wolthuis et. al., "Development of Medical Pressure and Temperature Sensors Employing Optical Spectrum Modulation". IEEE Transaction on Biomedical Engineering, vol. 38, no.10, October 1991.
[27] D. C. Abeysinghe, S. Dasgupta, J. T. Boyd, and H. E. Jack-son, ‘‘A novel MEMS pressure sensor fabricated on an opt-ical fiber,’’ IEEE Photonics Technol. Lett. 13(9) 993–995 (2001).
Author Information
  • Physics Dept., Faculty of Science, Ibb University, Ibb, Yemen

Cite This Article
  • APA Style

    Fadhali Mohamed. (2013). Modeling of Vibration Sensing with Variable Fabry-Perot System. Optics, 2(1), 1-6. https://doi.org/10.11648/j.optics.20130201.11

    Copy | Download

    ACS Style

    Fadhali Mohamed. Modeling of Vibration Sensing with Variable Fabry-Perot System. Optics. 2013, 2(1), 1-6. doi: 10.11648/j.optics.20130201.11

    Copy | Download

    AMA Style

    Fadhali Mohamed. Modeling of Vibration Sensing with Variable Fabry-Perot System. Optics. 2013;2(1):1-6. doi: 10.11648/j.optics.20130201.11

    Copy | Download

  • @article{10.11648/j.optics.20130201.11,
      author = {Fadhali Mohamed},
      title = {Modeling of Vibration Sensing with Variable Fabry-Perot System},
      journal = {Optics},
      volume = {2},
      number = {1},
      pages = {1-6},
      doi = {10.11648/j.optics.20130201.11},
      url = {https://doi.org/10.11648/j.optics.20130201.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.optics.20130201.11},
      abstract = {The application of Fabry-Perot (FP) system for vibration sensing is theoretically analyzed and successfully demonstrated by simulation. The separation between the reflecting mirrors of the FP is varying in accordance with the sensed vibration that is in contact with the freely movable mirror. The variable separation is modeled as a small uniform sinusoidal perturbation that satisfies the constructive multiple beam interference inside the cavity. The variation of the separation between the two mirrors of the FP induces a phase variation to the reflected laser beam employed in the system. The constructed signals by signals processing and transformation reveal the effectiveness of the method for vibration sensing and hence the applicability for gravitational and seismic waves monitoring.},
     year = {2013}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Modeling of Vibration Sensing with Variable Fabry-Perot System
    AU  - Fadhali Mohamed
    Y1  - 2013/02/20
    PY  - 2013
    N1  - https://doi.org/10.11648/j.optics.20130201.11
    DO  - 10.11648/j.optics.20130201.11
    T2  - Optics
    JF  - Optics
    JO  - Optics
    SP  - 1
    EP  - 6
    PB  - Science Publishing Group
    SN  - 2328-7810
    UR  - https://doi.org/10.11648/j.optics.20130201.11
    AB  - The application of Fabry-Perot (FP) system for vibration sensing is theoretically analyzed and successfully demonstrated by simulation. The separation between the reflecting mirrors of the FP is varying in accordance with the sensed vibration that is in contact with the freely movable mirror. The variable separation is modeled as a small uniform sinusoidal perturbation that satisfies the constructive multiple beam interference inside the cavity. The variation of the separation between the two mirrors of the FP induces a phase variation to the reflected laser beam employed in the system. The constructed signals by signals processing and transformation reveal the effectiveness of the method for vibration sensing and hence the applicability for gravitational and seismic waves monitoring.
    VL  - 2
    IS  - 1
    ER  - 

    Copy | Download

  • Sections