- •6.1 Resistive Displacement Sensors
- •Types of Precision Potentiometers
- •Resistive Element
- •Electrical Characteristics
- •Mechanical Characteristics
- •Mechanical Mounting Methods
- •Implementation
- •6.2 Inductive Displacement Sensors
- •The Single-Coil Linear Variable-Reluctance Sensor
- •The Variable-Differential Reluctance Sensor
- •Variable-Reluctance Tachogenerators
- •Microsyn
- •Synchros
- •Variable-Coupling Transducers
- •Induction Potentiometer
- •Appendix to Section 6.2
- •Variable Distance Displacement Sensors
- •Variable Area Displacement Sensors
- •Variable Dielectric Displacement Sensors
- •Aluminum Type Capacitive Humidity Sensors
- •Tantalum Type Capacitive Humidity Sensors
- •Silicon Type Capacitive Humidity Sensors
- •Polymer Type Capacitive Humidity Sensors
- •Capacitive Moisture Sensors
- •Pulse Width Modulation
- •Square Wave Linearization
- •Feedback Linearization
- •Oscillator Circuits
- •Appendix to Section 6.3
- •6.4 Piezoelectric Transducers and Sensors
- •Single Crystals
- •Piezoelectric Ceramics
- •Perovskites
- •Processing of Piezoelectric Ceramics
- •Piezoelectric Polymers
- •Piezoelectric Ceramic/Polymer Composites
- •Suppliers of Piezoelectric Materials
- •6.5 Laser Interferometer Displacement Sensors
- •Longitudinal Zeeman Effect
- •Two-Frequency Heterodyne Interferometer
- •Single-Mode Homodyne Interferometer
- •6.6 Bore Gaging Displacement Sensors
- •Gages That Control Dimensions
- •Gages That Control Geometry
- •6.7 Time-of-Flight Ultrasonic Displacement Sensors
- •Ultrasound Transducers
- •6.8 Optical Encoder Displacement Sensors
- •Absolute Encoders
- •Incremental Encoders Quadrature Signals
- •Geometric Masking
- •Diffraction-Based Encoders
- •6.9 Magnetic Displacement Sensors
- •6.10 Synchro/Resolver Displacement Sensors
- •Equipment Needed for Testing Resolvers
- •Multispeed Units
- •Applications
- •Resolver-to-Digital Conversion
- •Bandwidth Optimization
- •Encoder Emulation
- •Determining Position Lag Error Due to Acceleration
- •Large Step Settling Time
- •Time Constants
- •6.11 Optical Fiber Displacement Sensors
- •Principle of Operation
- •Fabrication Techniques
- •Bragg Grating Sensors
- •Limitations of Bragg Grating Strain Sensors
- •Principle of Operation
- •Fabrication Procedure
- •Temperature Sensitivity of Long-Period Gratings
- •Knife-Edge Photodetector
- •Bicell Detector
- •Continuous Position Sensor
- •References
FIGURE 6.110 Shift in peak loss wavelength as a function of the applied strain.
TABLE 6.28 Strain Sensitivity of Long-Period Gratings Written
in Four Different Types of Fibers
|
Strain sensitivity |
Type of fiber |
(nm %ε–1) |
A — Standard dispersion-shifted fiber (DSF) |
–7.27 |
B — Standard 1550 nm communication fiber |
4.73 |
C — Converntional 980 nm single-mode fiber |
4.29 |
D — Conventional 1060 nm single-mode fiber |
15.21 |
|
|
Note: The values correspond to the shift in the highest order resonance wavelength.
Temperature Sensitivity of Long-Period Gratings
Gratings written in different fibers were also tested for their cross-sensitivity to temperature [22]. The temperature coefficients of wavelength shift for different fibers are shown in Table 6.29. The temperature sensitivity of a fiber Bragg grating is 0.014 nm °C–1. Hence, the temperature sensitivity of a long-period grating is typically an order of magnitude higher than that of a Bragg grating. This large cross-sensitivity to ambient temperature can degrade the strain sensing performance of the system unless the output signal is adequately compensated. Multiparameter sensing using long-period gratings has been proposed to obtain precise strain measurements in environments with temperature fluctuations [21].
In summary, long-period grating sensors are highly versatile. These sensors can easily be used in conjunction with simple and inexpensive detection techniques. Experimental results prove that these methods can be used effectively without sacrificing the enhanced resolution of the sensors. Long-period grating sensors are insensitive to the input polarization and do not require coherent optical sources. The cross-sensitivity to temperature is a major concern while using these gratings for strain measurements.
© 1999 by CRC Press LLC
FIGURE 6.111 The shift induced by strain in a grating written in fiber C.
FIGURE 6.112 Plot of the change in transmitted intensity as a function of strain, for three different trials.
© 1999 by CRC Press LLC
Table 6.29 Temperature Sensitivity of Long-Period Gratings Written
in Four Different Types of Fibers
|
Temperature sensitivity |
Type of fiber |
(nm °C–1) |
A — Standard dispersion-shifted fiber (DSF) |
0.062 |
B — Standard 1550 nm communication fiber |
0.058 |
C — Converntional 980 nm single-mode fiber |
0.154 |
D — Conventional 1060 nm single-mode fiber |
0.111 |
|
|
Note: The values correspond to the shift in the highest order resonance wavelength.
Comparison of Sensing Schemes
Based on the above results, the interferometric sensors have a high sensitivity and bandwidth, but are limited by the nonlinearity in their output signals. Conversely, intrinsic sensors are susceptible to ambient temperature changes while the grating-based sensors are simpler to multiplex. Each may be used in specific applications.
Conclusion
We have investigated the performance of four different interferometric and grating-based sensors. This analysis was based on the sensor head fabrication and cost, signal processing, cross-sensitivity to temperature, resolution, and operating range. The relative merits and demerits of the various sensing schemes were also discussed.
References
1.J. Sirkis, Phase-strain-temperature model for structurally embedded interferometric optical fiber strain sensors with applications, Fiber Optic Smart Structures and Skins IV, SPIE, Vol. 1588, 1991.
2.R. O. Claus, M. F. Gunther, A. Wang, and K. A. Murphy, Extrinsic Fabry-Perot sensor for strain and crack opening displacement measurements from –200 to 900°C, J. Smart Materials and Struc-
tures, 1, 237-242, 1992.
3.K. A. Murphy, M. F. Gunther, A. M. Vengsarkar, and R. O. Claus, Fabry-Perot fiber optic sensors in full-scale fatigue testing on an F-15 aircraft, Appl. Optics, 31, 431-433, 1991.
4.V. Bhatia, C. A. Schmid, K. A. Murphy, R. O. Claus, T. A. Tran, J. A. Greene, and M. S. Miller, Optical fiber sensing technique for edge-induced and internal delamination detection in composites, J. Smart Materials Structures, 4, 164-169, 1995.
5.V. Bhatia, M. J. de Vries, K. A. Murphy, R. O. Claus, T. A. Tran, and J. A. Greene, Extrinsic FabryPerot interferometers for absolute measurements, Fiberoptic Product News, 9(Dec.), 12-13, 1994.
6.V. Bhatia, M. B. Sen, K. A. Murphy, and R. O. Claus, Wavelength-tracked white light interferometry for highly sensitive strain and temperature measurements, Electron. Lett., 32, 247-249, 1996.
7.C. E. Lee and H. F. Taylor, Fiber-optic Fabry-Perot temperature sensor using a low-coherence light source, J. Lightwave Technol., 9, 129-134, 1991.
8.J. A. Greene, T. A. Tran, K. A. Murphy, A. J. Plante, V. Bhatia, M. B. Sen, and R. O. Claus, Photoinduced Fresnel reflectors for point-wise and distributed sensing applications, Proc. Conf. Smart Structures and Materials, SPIE’95, paper 2444-05, February 1995.
9.K. O. Hill, Y. Fuijii, D. C. Johnson, and B. S. Kawasaki, Photosensitivity in optical fiber waveguides: applications to reflection filter fabrication, Appl. Phys. Lett., 32, 647, 1978.
10.G. Meltz, W. W. Morey, and W. H. Glenn, Formation of Bragg gratings in optical fibers by transverse holographic method, Optics Lett., 14, 823, 1989.
©1999 by CRC Press LLC
11.P. J. Lemaire, A. M. Vengsarkar, W. A. Reed, V. Mizrahi, and K. S. Kranz, Refractive index changes in optical fibers sensitized with molecular hydrogen, in Proc. Conf. Optical Fiber Communications, OFC’94, Technical Digest, paper TuL1, 47, 1994.
12.R. Kashyap, Photosensitive optical fibers: devices and applications, Optical Fiber Technol., 1, 17-34, 1994.
13.D. Z. Anderson, V. Mizrahi, T. Ergodan, and A. E. White, Phase-mask method for volume manufacturing of fiber phase gratings, in Proc. Conf. Optical Fiber Communication, post-deadline paper PD16, 1993, p. 68.
14.A. D. Kersey and T. A. Berkoff, Fiber-optic Bragg-grating differential-temperature sensor, IEEE Photonics Technol. Lett., 4, 1183-1185, 1992.
15.V. Bhatia, M. B. Sen, K. A. Murphy, A. Wang, R. O. Claus, M. E. Jones, J. L. Grace, and J. A. Greene, Demodulation of wavelength-encoded optical fiber sensor signals using fiber modal interferometers, SPIE Photonics East, Philadelphia, PA, paper 2594-09, October 1995.
16.M. G. Xu, L. Dong, L. Reekie, J. A. Tucknott, and J. L. Cruz, Chirped fiber gratings for temperatureindependent strain sensing, in Proc. First OSA Topical Meet. Photosensitivity and Quadratic Nonlinearity in Glass Waveguides: Fundamentals and Applications, paper PMB2, 1995.
17.K. O. Hill, B. Malo, K. Vineberg, F. Bilodeau, D. Johnson, and I. Skinner, Efficient mode-conversion in telecommunication fiber using externally written gratings, Electron. Lett., 26, 1270-1272, 1990.
18.F. Bilodeau, K. O. Hill, B. Malo, D. Johnson, and I. Skinner, Efficient narrowband LP01 ↔ LP02 mode convertors fabricated in photosensitive fiber: spectral response, Electron. Lett., 27, 682-684,
1991.
19.A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, J. E. Sipe, and T. E. Ergodan, Long-period fiber gratings as band-rejection filters, Proc. Conf. Optical Fiber Communications, OFC ’95, postdeadline paper, PD4-2, 1995.
20.A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, J. E. Sipe, and T. E. Ergodan, Long-period fiber gratings as band-rejection filters, J. Lightwave Technol., 14, 58-65, 1996.
21.V. Bhatia, M. B. Burford, K. A. Murphy, and A. M. Vengsarkar, Long-period fiber grating sensors,
Proc. Conf. Optical Fiber Communication, paper ThP1, February 1996.
22.V. Bhatia and A. M. Vengsarkar, Optical fiber long-period grating sensors, Optics Lett., 21, 692-694, 1996.
23.C. D. Butter and G. B. Hocker, Fiber optics strain gage, Appl. Optics, 17, 2867-2869, 1978.
24.J. S. Sirkis and H. W. Haslach, Interferometric strain measurement by arbitrarily configured, surface mounted, optical fiber, J. Lightwave Technol., 8, 1497-1503, 1990.
6.12 Optical Beam Deflection Sensing
Grover C. Wetsel
Measurements of the intensity of the light reflected and transmitted by a sample have been sources of information concerning the structure of matter for over a century. In recent decades, it has been found that measurement of the position of an optical beam that has scattered from a sample is an important and versatile means of characterizing materials and the motion of devices. Surely, the availability of a well-collimated beam from a laser has been crucial in the development of techniques and applications of optical beam deflection (OBD) sensing; however, the development and ready availability of various types of position sensing detectors (PSDs) have also been important factors. Optical beam deflection may be caused, for example, by propagation of a laser beam through a refractive-index gradient or by reflection from a displaced surface. A PSD provides an electronic signal that is a function of the laser beam position on the detector.
In this section, applications of optical beam deflection sensing are reviewed, the theories of operation of the three most common types of OBD sensors are developed, and typical operational characteristics of the devices are presented. The advantages and disadvantages of the various PSDs are also discussed.
© 1999 by CRC Press LLC