: S. Martellucci, Arthur N. Chester, Anna Grazia Mignani (Eds.)
: Optical Sensors and Microsystems
: Kluwer Academic Publishers
: 9780306470998
: 1
: CHF 159.80
:
: Naturwissenschaft
: English
: 312
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Proceedings of the 22nd Course of the International School of Quantum Electronics, held 27 November-2 December 1997, in Erice, Italy.

In recent years, fiber optical sensors and optical microsystems have assumed a significant role in sensing and measurement of many kinds. These optical techniques are utilised in a wide range of fields, including biomedicine, environmental sensing, mechanical and industrial measurement, and art preservation. This volume, an up-to-date survey of optical sensors and optical microsystems, aims at combining a tutorial foundation with analysis of current research in this area, and an extensive coverage of both technology and applications.
COMPLEX ABCB-MATRICES: A GENERAL TOOL FOR ANALYZING ARBITRARY OPTICAL SYSTEMS (p. 97-98)


1. INTRODUCTION

In this paper, we describe a novel formulation of light beam propagation through any complex optical system that can be described by an ABCD ray-transfer matrix.1,2 Within the framework of complex ABCD-optical systems, we then present novel speckle methods for analyzing linear and angular velocities and displacements. All methods rely on the dynamics of speckle patterns, produced by scattering of coherent light off solid surfaces undergoing angular and/or translational displacements.

Coherent light scattered off a rough surface produces a granular diffraction pattern some distance away from the object. This pattern is referred to as speckles,3 and originates from elementary interference of the waves emanating from many microscopic areas on the surface within the illuminated region. If the illuminated object is in motion, the resulting speckle pattern also evolves with time, i.e., a dynamical speckle pattern results. The target motion or displacement is usually determined by calculating the space- or time-lagged covariance of the detector currents before and after object displacement: and then determine the position where the peak of the covariance attains its maximum.

We first present the basic properties of the ABCD ray-matrix method,1,2 and summarize raymatrices for Simple optical elements,5 e.g., thin lenses, mirrors, and free-space propagation. Additionally, we present the ray-transfer matrix for a Gaussian shaped aperture.1,2 Thus, armed with matrix elements describing the most common elements in an optical system, the resulting ray-transfer matrix can be obtained for most systems encountered in practice. The resulting raytransfer matrix connects the input ray position and slope with the corresponding output parameters. Rather than dealing with rays, a Gaussian Green’s function has been developed,1,2 valid for arbitrary ABCD systems, to reveal the transition of the field in the input plane, through the ABCD-optical system, to the output plane.

Armed with the Green’s function that reveals the field in the output plane of an arbitrary ABCD-system, provided the field in the input plane is known, we then present a general equation, valid for arbitrary ABCD-optical systems, for the space-time lagged covariance of photocurrent: The position where the Gaussian-shaped covariance attains its maximum reveals information about target velocity or displacement. We discuss, how, in practice, the target velocity/ displacement is assessed. The theoretical results alluded to above are then applied to a series of novel optical sensor applications, all described by the ABCD kernel.

Two systems for measuring hear velocities, viz. the laser Doppler velocimeter6 and the laser time-of-flight velocimeter,7,8 are presented. A compact system for measuring linear surface velocities is presented, where all passive optical components are replaced with a single holographic optical element.9 Additionally, other novel schemes for further system miniaturization are presented.

We then present a new method for measurement of out-of-plane angular displacement in one or two dimensions.12,13 It is demonstrated that the angular displacement sensor is insensitive to both object shape and target distance, and any transverse or longitudinal movements of the target. It is further shown that the method has a resolution of 0.3 mdeg (5 µrad). A new method for measuring in-plane angular velocities or displacements are then presented.14 Here, we consider off-axis illumination, and it is shown that, for Fourier transform optical systems, in-plane rotation causes the speckles to translate in a direction perpendicular to the direction of surface motion, whereas for an imaging system, the translation is parallel to the direction of surface motion. Based on this, we discuss a novel method, which is independent of both the optical wavelength and the position of the laser spot on the object, for determining either the angular velocity or the corresponding in-plane displacement of the target object. The out-of-plane angular displacement sensor can be modified to measure the distribution of static torsion angles of targets undergoing twisting motion.15 Because the torsion angle sensor is independent of object shape, we measure the distribution of torsion angles in both uniform and non-uniform deformation zones.

Finally, we present a novel method for measuring out-of-plane angular velocities. Besides measuring angular velocities, the sensor can measure, simultaneously, torsional vibrations of the rotating shaft.
PREFACE5
CONTENTS7
TECHNOLOGY10
ADVANCED OPTOELECTRONICS IN OPTICAL FIBRE SENSORS11
1. INTRODUCTION11
2. LASERS AND AMPLIFIERS12
3. NON LINEAR OPTICS IN SENSOR SYSTEMS14
4. STRANGE AND DIFFERENT PROPAGATION PHENOMENA17
5. INTEGRATED OPTICS AND MICROMACHINING20
6. OPTICAL SIGNAL DETECTION SYSTEMS21
7. CONCLUSIONS21
INTERFEROMETRIC DISTANCE SENSORS23
1. INTRODUCTION23
2. INTERFEROMETRIC DISTANCE MEASUREMENTS23
2.1 Displacement measurements24
3. DOUBLE WAVELENGTH INTERFEROMETRY26
4. FREQUENCY-MODULATED INTERFEROMETRY30
5. WHITE LIGHT INTERFEROMETRY32
5.1 Optical sources for white light interferometry.32
5.2 Mechanically scanned white light interferometer33
5.3 Electronic-scanning white light interferometry35
5.4 Dispersive white light interferometry35
6. COMPARISON OF THE DIFFERENT TECHNIQUES37
REFERENCES38
OPTICAL TOMOGRAPHY: TECHNIQUES AND APPLICATIONS40
1. INTRODUCTION40
2. OPTICAL TOMOGRAPHY42
3. TIME-RESOLVED IMAGING42
4. FLUORESCENCE IMAGING42
5. COHERENCE IMAGING43
6. DIRECT TRANSILLUMINATION IMAGING44
7. OPTICAL TOMOGRAPHY SCANNERS44
8. CONCLUSIONS45
REFERENCES45
OPTICAL WAVEGUIDE REFRACTOMETERS47
1. INTRODUCTION47
2. REFRACTOMETERS FOR LIQUIDS: AN OVERVIEW 48
2.1. Classical refractometers48
2.2. Interferometric refractometers49
2.3. Non conventional refractometers49
2.4. Optical fiber refractometers50
2.5. Waveguide refractometers51
3. CERENKOV REFRACTOMETRY52
4. INVERSE USE OF CERENKOV REFRACTOMETRY55
5. CONCLUSIONS56
REFERENCES57
CHARACTERIZATION OF AN OPTICAL FIBRE pH SENSOR WITH METHYL RED AS OPTICAL INDICATOR58
1. INTRODUCTION58
2. OPTICAL FIBRE PROBE58
3. SPECTROPHOTOMETRIC ANALYSIS: PHOTODEGRADATION59
4. OPTICAL FIBRE SENSOR60
5. IONIC STRENGTH EFFECTS62
CONCLUSIONS64
REFERENCES65
OPTICAL SENSORS AND MICROSYSTEMS USING LIQUID CRYSTALS66
1. INTRODUCTION66
2. LIQUID CRYSTALS OPTICAL AND ELECTRO-OPTICAL PROPERTIES67
3. OPTICAL SENSORS UTILISING LIQUID CRYSTALS73
4. OPTICAL MICROSYSTEMS UTILISING LIQUID CRYSTALS76
5. OUR EXPERIMENTAL WORK78
6. CONCLUSIONS80
REFERENCES81
INDIUM TIN OXIDE FILMS FOR OPTICAL SENSORS83
1. INTRODUCTION83
2. CHARACTERISTICS OF INDIUM TIN OXIDE83
3. DEPOSITION PROCESS84
4. PHOTOCONDUCTIVE EFFECT84
5. PHYSICAL INTERPRETATION OF THE OBSERVED PHENOMENA86
6. REVERSIBILITY OF THE VARIATIONS OF THE RESISTIVITY AND FACTORS THAT INFLUENCE THE SPEED OF RETURN TO THE INITIAL CONDITIONS86
7. POSSIBLE APPLICATIONS OF THE PHOTOCONDUCTIVE EFFECT88
8. CONCLUSIONS89
REFERENCES89
OPTOELECTRONIC NEURAL NETWORKS90
1. INTRODUCTION90
2. OPTOELECTRONIC NEURAL PROCESSING90
3. OPTOELECTRONIC NEURAL NETWORKS92
4. SPATIAL LIGHT MODULATORS AND VERTICAL CAVITY SURFACE EMITTING LASERS IN NEURAL SYSTEMS94
5. OPTOELECTRONIC NEURAL SYSTEM FOR OPTICAL SENSOR SIGNAL PROCESSING95
6. RESULTS OF EXPERIMENTS97
7. CONCLUSIONS99
REFERENCES99
COMPLEX ABCB-MATRICES: A GENERAL TOOL FOR ANALYZING ARBITRARY OPTICAL SYSTEMS100