Abstract
Fiber optics represents a platform suitable for the monitoring of numerous physical properties. In biology and medicine, optical fibers have found a range of applications ranging from diagnosis to therapy such as cavitational and endoscopic laser surgery. This chapter reviews optical fibers and their wealth of applications in biomedical sensing: from cellular microenvironment to pH, gas, temperature, pressure, and blood flow.
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6.1 Optical Fibers
6.1.1 Solid Core Fibers
Optical fibers are cylindrical waveguides that generally consist of an inner glass core with a refractive index n1, surrounded by a glass or polymeric cladding of lower refractive index n2—and are often covered by layers of a plastic coating (Fig. 6.1).
Optical fibers are frequently classified as single-mode fibers or multi-mode fibers according to the number of modes supported by the core. If the core refractive index profile is uniform, the fiber is called a “step-index fiber”, while if it gradually decreases along the radial coordinate, the fiber is called a “graded-index fiber”. In glass optical fibers, the core is typically made from a silicate glass doped with oxides of germanium, phosphorus and other elements in smaller amounts, while the cladding is made of pure silica or fluorosilicate glasses. Index guiding fibers have also been fabricated from polymers, natural fibers (i.e. silk) and liquid materials, but their applications in the biomedical field have been somewhat restricted.
6.1.2 Microstructured Fibers
Glass and polymer fibers have also been manufactured from a single solid material. These fibers, often called microstructured fibers or photonic crystal fibers (PCFs), are structures where guiding is achieved by a regular spatial distribution of micrometre size air holes [120]. By tailoring the hole sizes and positions, microstructured fibers can vary the dispersion and confinement—and even confine light in a lower refractive index hollow core. Microstructured fibers are often classified into two categories: solid-core and hollow-core fibers.
In the solid-core microstructured fibers (Fig. 6.2a), waveguiding occurs through total internal reflection, in a similar manner to that of traditional optical fibers, with a central core that has a refractive index larger than the average refractive index of the cladding. However, there is no definite boundary between the solid-core region and the air-hole cladding region.
In hollow-core microstructured fibers (Fig. 6.2b), the air-guided mode has an effective index that is lower than the effective index of the cladding. This type of fiber requires strict control of the periodic cladding structures, since guiding strongly depends on the fiber geometry, with the holes and the related pitch having micrometre dimensions (Fig. 6.2c). Because of the limited applications to biomedical sensing, only fibers having a core refractive index that is larger than the cladding refractive index will be considered in this chapter. These optical fibers are often called index guiding fibers.
6.1.3 Optical Micro/Nanofibers
Optical micro/nanofibers (MNFs) are optical fibers that have been tapered until their uniform waist region has a size comparable to the wavelength. MNFs are fabricated by heating conventional optical fibers to the softening temperature under a moderate degree of stretching [16]. This results in a micrometric optical fiber that is connected by biconical tapers [13, 134] to other fiberized components. MNFs have been manufactured in numerous different optical materials, including bismuthate [17] lead silicate [17], phosphate [146], tellurite [146], and chalcogenide glasses [92]—and a variety of polymers [47, 49, 54, 102, 159]. The extraordinary optical properties exhibited by MNFs include large evanescent fields, strong optical confinement, flexibility, configurability and robustness. Such desirable features have made MNFs an excellent platform for applications in sensing. Light propagation in MNFs is easily explained by refractive index guiding, where the core is effectively the optical fiber material and the cladding is represented by the surrounding medium, usually air or an aqueous solution.
6.1.4 Light Propagation
The propagation of light in index guiding fibers is usually explained either in terms of rays or of waves [106, 129]. In the ray theory, a light ray entering the fiber from a medium with a refractive index n0 is reflected at the boundary between the fiber core and the fiber cladding (Fig. 6.3). If the incident angle is smaller than θNA, then the reflection angle at the core/cladding interface is greater than the critical angle θc, and the light is totally reflected; θNA is therefore called the maximum acceptance angle. If the medium outside the optical fiber is air with a refractive index value of n0 ≈ 1, the application of Snell’s law at the air-fiber and at the core-cladding interfaces provides an expression for θNA:
where NA is the numerical aperture of the fiber and ∆ = (n1 − n2)/n1 is the normalized refractive index difference.
In wave theory, the solution of Maxwell’s equations provides orthonormal field distributions called “modes”. Assuming a step index profile, the solution of Maxwell’s equations in cylindrical coordinates leads to the propagation equation:
where ψ is the wave function of the guided light, r is the radial coordinate, ϕ is the azimuthal coordinate, k is the wave vector in the medium and β is the modal propagation constant.
If the wave-function is assumed to be a propagating wave, then the solutions of (6.2) are expressed by linear combinations of Bessel functions. The boundary conditions require that the optical field has a finite value on the axis (r = 0) and tends to zero for very large distances from the fiber axis (\(r \rightarrow \infty\)), providing an easy mathematical formulation for the longitudinal field components:
where \(J_{v} \left( {ur/a} \right)\) and \(K_{v} \left( {wr/a} \right)\) are Bessel functions of the first and second kind, and \(u^{2} = \left( {k_{1}^{2} - \beta^{2} } \right)a^{2}\), k1 = 2πn1/λ0, \(w^{2} = \left( {\beta^{2} - k_{2}^{2} } \right)a^{2}\), k1 = 2πn2/λ0 and w2 + u2 = V2.
The functions in (6.3) are called guided modes and are quantised. While Jv represents the fraction of the mode propagating inside the core, Kv describes the fraction of the mode which lies outside the core and is often called the “evanescent field”. A specific geometry and refractive index profile can support only selected values of the propagation constant β. The parameter V is related only to the optical fiber geometry:
and determines the number of modes supported by an optical fiber waveguide: at V < 2.405, only a single-mode, designated as HE11, is supported, while at V > 2.405 the number of modes increases with increasing V and asymptotically tends to V2/2. It is important to note that the fibers that are commonly called ‘single-moded’ in reality support two modes with orthogonal polarizations—and the HE11 mode is therefore said to be degenerate. Moreover, the choice of angular position is arbitrary, as the mode is a continuously angularly degenerate mode—i.e. it has infinite degeneracy in the azimuthal coordinate.
In most practical fibers, the normalized index difference ∆ is on the order of 1% and therefore the approximation n2/n1 ≈ 1 is applicable, which is called the weak-guidance approximation [127, 128]: the modes are called linearly polarized [44] and designated as LP modes. The fundamental mode is designated as LP01.
6.1.5 Optical Fiber Sensor Technologies
Fiber optics represents a platform that can be applied to the sensing of a number of physical properties, including displacement, temperature, pressure, rotation, sound, strain, magnetic field, electric field, radiation, flow, liquid level, chemical analysis, and vibration, to cite just a few examples.
Optical fiber sensors are commonly grouped into distributed or point sensors, according to whether their sensing can be performed along the length of the fiber or at a specific single position, usually at one extremity of the fiber. They can also be divided according to the output used to evaluate a measurand: phase or intensity [28, 43, 45, 46].
Intensity-based sensors rely on external physical perturbations, or mechanical transducers in close contact with the fiber, to produce a change in the transmitted intensity, usually through increased attenuation, bending, reflection, scattering, or fluorescence. Intensity-modulated sensors can use large core fibers (or fiber bundles) and cheap detection systems—and have therefore found widespread application in industry.
Phase-based sensors evaluate the change in the phase of the signal propagating in a sensing fiber, usually by comparison with a reference in an interferometer. Figure 6.4 shows a schematic diagram of a typical Mach-Zehnder interferometer: light from a laser source is split into a reference fiber unaffected by external perturbations and a sensing fiber that is exposed to the surrounding environment—and the light is then recombined by means of a fiber coupler, before reaching a detector. If the two components are exactly in phase upon recombination, they interfere constructively—while, if they are out of phase, destructive interference occurs. The two components are usually deliberately placed in quadrature, meaning that a small change in the environmental conditions results in the maximum relative change in intensity.
In general, phase-based sensors have a higher accuracy and a much larger dynamic range than intensity-based sensors, since phase-differences can be measured with extreme precision, often to down to the tens of μrad level, within a very broad range. Yet, phase-modulated sensors often require a more expensive detection system—and therefore have application in the distributed sensing market, where the cost per unit of length is small.
Amongst the point sensors, a significant fraction of the industrial implementations has relied on fiber gratings, which are structures inscribed in the fiber core by periodically changing the refractive index. There are two types of gratings: Fiber Bragg Gratings (FBGs) and Long Period Gratings (LPGs). While the former has a period comparable to the wavelength of the light propagating in the core—and couples forward propagating core modes with backward propagating core modes, the latter is characterised by a period that is orders of magnitude larger than the wavelength and couples forward propagating core modes with cladding modes [37]. Because of the relatively strong photosensitivity effects exhibited by optical fibers when exposed to ultraviolet light, fiber grating fabrication has widely exploited ultraviolet lasers, often in conjunction with phase masks (for FBGs) or amplitude masks (for LPGs).
6.2 Sensors
Biological and medical sensing have benefited extensively from the use of optical fibers, because of their minimal cross section, negligible loss and extreme flexibility. Indeed, it is widely recognised that optical fibers found applications in medical imaging well before their application in telecommunications: in 1954 fiber bundles were successfully deployed in endoscopy [62]—providing easy access to otherwise inaccessible parts of the human body and thereby paving the way to beam delivery for endoscopic laser surgery.
This section will review the wealth of applications of optical fibers in biosensors that have arisen since their first deployment in endoscopy. This review will include biomolecule sensing, blood flow, gas, pressure, pH, and temperature.
6.2.1 Biomolecules
Optical fiber biosensors mostly use surface functionalization with biological molecules, such as antibodies or enzymes, that show high selectivity for a specific analyte. When the analyte binds to the functionalised surfaces, there is a change in an optical property (typically absorption, refractive index, luminescence, fluorescence emission or quenching) that can then be used for detection. Biomolecular sensing can be carried out in two distinct configurations, i.e. by exploiting the mode evanescent field along the direction of propagation—or in the so-called optrode configuration.
In the optrode configuration, the distant fiber end is functionalised with recognition biomolecules (Fig. 6.5) and the optical fiber simply delivers light to the sensing region at the fiber tip—and then collects it, after reflection, back to the detector. Functionalizing molecules are frequently encapsulated inside a polymer, a membrane or beads [11, 15, 41, 57, 85, 147] that often also perform the additional task of concentrating the analyte to be detected. Although the sensor selectivity in optrode biosensors can be extremely high, the sensitivity is limited by the size of the functionalised area and by the concentration of recognition molecules at the surface.
When the signal to be detected is considerably smaller than that used for excitation, collection can be performed using a second fiber, a CCD (charge coupled device) camera or an inverted fluorescence microscope. This method found large application in the simultaneous detection of multiple analytes using fiber bundles [2, 39, 57], where each single core transmits information about a single analyte. Microstructured fibers have been widely deployed in sensors exploiting fluorescence because the air holes provide easily functionalisable surfaces in close proximity to the core evanescent field. α-streptavidin and α-CRP (cancer-reactive protein) antibodies have been functionalised inside polymer microstructured fibers and fluorescence—and have provided a detection limit of 80 nM when analysing a sample volume of 27 μL [64].
A sensor configuration exploiting evanescent fields was first proposed in 1965 [60]—and later applied to immunoassays [80]. In this class of sensors, the evanescent field overlaps with recognition molecules bound to the fiber surface (Fig. 6.6). As the mode propagating in the core has an extremely small overlap with the cladding surface, part of the cladding is usually removed from the fiber until the guided mode has a significant overlap with the molecules in the solution. The evanescent field is extremely sensitive to the refractive index at the sensor surface—and any change that modifies the refractive index of the surface, such as binding of analyte to an immobilized recognition molecule, will result in the change of the propagation properties of the mode. The evanescent field generated within the medium or cladding decays exponentially with the distance from the core surface and its penetration depth, defined as the distance at which the field strength decays to 1/e of its value at the interface, is comparable to the wavelength of light. The detectable optical changes are therefore limited to a small region in close proximity to the fiber surface, with relatively little interference from the bulk solution.
Because of the large surface area available in their voids, microstructured fibers have found a prompt application in biomolecular sensing. Selective detection of α-streptavidin and Cy5-labelled α-CRP antibodies in series, at preselected positions, was demonstrated using a single piece of microstructured fiber fabricated from a cyclic olefin copolymer and serial fluorescence-based selective sensing [36]. The sensitivity and detection limit of sensors based on microstructured fibers are strongly dependent on the overlap between the mode and the analyte—and the fiber cross section geometry can be optimised for aqueous or gas detection [56]. Long period gratings have been used to improve the overlap in refractometers, providing a maximum sensitivity of 1500 nm/RIU at a refractive index of 1.33, and a detectable index change of 2 · 10−5, two orders of magnitude larger than the sensitivity observed for a long-period grating in a standard optical fiber [117]. Long period gratings in microstructured fibers have also been used to determine the thicknesses of a monolayer of poly-L-lysine and double-stranded DNA, with a sensitivity of 1.4 nm/1 nm in terms of the shift in resonance wavelength in nanometre per nanometre thickness (l nm) of the biomolecular layer [116].
MNFs have a very strong evanescent field and have therefore been used to detect biomolecules in close vicinity to the waist region (Fig. 6.7). Stiebeiner et al. [135] performed spectroscopy of 3,4,9,10-perylenetetracarboxylic dianhydride molecules (PTCDA) using between 1 and 10 mm long MNFs that had as little as 100 nm diameter. Optimized surface spectroscopy of organic molecules was performed by Warken et al. [153], who measured sub-monolayers of 3,4,9,10-perylene-tetracarboxylic dianhydride (PTCDA) molecules with a 500 nm diameter, 3 mm long, MNF—and showed that the sensitivity exceeds free-beam absorption spectroscopy by several orders of magnitude. Takiguchi et al. [140] used MNFs with a diameter of 410 nm for saturated absorption spectroscopy of the acetylene (C2H2) ν1 + ν3 band transitions. Vishnoi et al. [149] demonstrated a spectrophotometer based on a tapered multimode fiber and used it to measure dye solutions with concentrations as low as 1 ppm in water. A 900 nm diameter MNF embedded in a 125 mm wide micro-channel with a detection length of 2.5 cm was used by Zhang et al. [163] to measure the absorbance of methylene blue (MB)—with a detection limit of 50 pM within the operational range of 0 to5 nM. The sensor was also functionalised to test bovine serum albumin (BSA) and achieved a detection limit of 10 fg.mL−1.
A 3.69 μm-diameter, 7.1 mm-long MNF was used by Wiejata et al. [157] to detect a fluorescein solution at concentrations of 10–60 μM by exciting it at a wavelength of 460 nm and collecting the fluorescence emitted at 516 nm. Tian et al. [144] used a micro-channel chip designed for the label-free bio-testing of an IgG antibody-antigen pair to detect biomolecules, exploiting the modal interference that occurs along a non-adiabatic MNF. Wang et al. [152] modelled a bio-sensor using the effective phase shift in a fiber Bragg grating inscribed in a MNF. Proteins and DNA adsorbed on the surface were detected with a detection limit of 3.3 pg.mm−2—by using the stop-band degeneracy and its application to refractive index sensing.
6.2.2 Single Cell Environments
Cellular micro-environments at the single cell level have been monitored by using MNF tips [141], since these allowed for a respective reduction in probe size, sample volume and response time of three, six and two orders of magnitudes with respect to the equivalent conventional optical sensor based on conventional 125 μm diameter optical fibers. In its easiest configuration, the sensor head is excited by light launched into its fiber pigtail and the resulting evanescent field at the MNF tip is used to excite target molecules bound to the antibody molecules (Fig. 6.8); the fluorescence emission from the analyte molecules is then collected and analysed in the same fiber pigtail. MNF tips of 30–50 nm diameter [150] were covalently bound with antibodies that selectively target analyte molecules within the cellular microenvironment: this included benzo[α]pyrene [71], benzo[α]pyrene tetrol (BPT) [27] and caspase-9 [70]. A detection limit of ~0.64 × 10–11 M was reported for BPT.
DNA/RNA detection without the need for a dye-labelled target molecule or an intercalation reagent in the testing solution was demonstrated using fluorescence-based MNF biosensors [88]. Experimental results showed that the concentration and the mass detection limits for a sub-micron diameter MNF tip are 10 nM and 0.27 aM, respectively. MNF tips have also been used to detect telomerase in the nucleus of living MCF-7 cancer cells [165]. The encapsulation of dextran-linked fluorescence indicators in an organic hydrogel [111] enabled the co-immobilization of different indicators.
An intensity-based sensor in a compact micro-ball lens structure fabricated at the cleaved tip of a MNF coupler was proposed [55] for sensing the glucose concentration in deionized water. A sensitivity of 0.26 dB/% was achieved for a concentration change from 0 to 12 volume %, with the output intensity of the sensor decreasing linearly from −57.4 to −60.5 dBm.
6.2.3 Potential of Hydrogen (pH) Measurement
pH is often considered to be the single most important indicator in medicine, as it is strictly related to the correct operation of many organs of the human body. pH is frequently measured by a chromophore or by absorption-based indicators. In the first configurations demonstrated, optical fiber pH sensors used phenol red, covalently bound to polyacrylamide microspheres, as an indicator. The microspheres were inserted in a cellulose dialysis tube connected to two large-core plastic fibers, which were in turn inserted into a blood vessel through a needle. In vivo testing was carried out by detecting extracellular acidosis during regional ischemia in dog hearts [138], conjunctival pH [1], and pH gradients in canine myocardial ischemia [155]. The first fiberized sensor for the simultaneous monitoring of pH, oxygen and carbon dioxide concentrations relied on three optical fibers enclosed in a polymer tube [42]. The pH measurement was carried out using hydroxypyrene trisulphonic acid attached to a cellulose matrix at the fiber tip.
The measurement of pH level in the stomach and oesophagus is extremely important for monitoring of the human foregut. One of the first sensors demonstrated used two fluorophores, fluorescein and eosin, immobilized in amino-ethyl cellulose particles fixed on polyester foil [7, 103]. Another sensor used two absorbance dyes, meta-cresol purple and bromophenol blue, attached to polyacrylamide microspheres. Although the accuracy achieved, better than 0.1 pH units, satisfied clinical requirements, the response time, between 1 and 6 min depending on the pH step, was considered too long—so long that it would prevent detection of any rapid change of pH, like the detection of gastro-oesophageal reflux, where pH changes occur over time scales shorter than 1 min). A third sensor [8] used two chromophores, bromophenol blue (BPB) and thymol blue (TB), fixed at the end of plastic optical fibers, to form a very thin pH-sensitive layer with an accuracy of the order of 0.05 pH units. A pH sensor using an acid-base indicator covalently immobilized on the core of a 200/380 μm fiber demonstrated a detection limit of 0.05 pH units [9].
A multi-layered assembly of poly(allylamine hydrochloride) and poly(acrylic acid) on a 30 μm diameter, 10 mm length MNF was exploited as a pH sensor by detecting the wavelength shift associated with changes in the pH level [130]—and provided a sensitivity of 87.5 nm/pH unit between pH 4 and 6, a response time of 60 s and a detection limit of 0.05 pH units.
6.2.4 Oxygen and Carbon Dioxide
The continuous monitoring of oxygen (O2) and carbon dioxide (CO2) is very important in many biomedical fields, such as cardiovascular and cardiopulmonary systems, and they are therefore the two chemical parameters that have been most investigated for in vivo applications.
Carbon dioxide (CO2) sensors rely on measurement of the pH of carbonate solutions, as these depend on the amount of CO2 dissolved in them. All optrodes developed for measurement of blood CO2 concentration exploit the same dye as utilized for pH measurement, fixed at the fiber end and covered by a membrane permeable to CO2. In situ measurements use fluorophores, such as hydroxypyrene trisulphonic acid, dissolved in a bicarbonate buffer solution enclosed by a membrane permeable to CO2. Many optical fiber CO2 sensors have been described for the detection of CO2 in blood or in human breath [42, 59, 97]. An optical fiber sensor for the continuous detection of gastric CO2 has a measurement range of 0–14 kPa, with a resolution of less than 0.1 kPa and an accuracy of 0.27 kPa.
The measurement of oxygen concentration is often performed either spectroscopically, by targeting haemoglobin, or by using a fluorophore the efficiency of which is strongly affected by the presence of oxygen. The maximum oxygen concentration in blood was the first quantity to be measured optically—by exploiting the different absorption spectra of the haemoglobin and the oxyhaemoglobin in the near infrared [69]. Optical fiber sensors that are capable of being inserted in arteries and veins rely on the collection of reflected or absorbed light in the greatest absorption regions of haemoglobin and oxyhaemoglobin—and the oxygen saturation is calculated as the ratio of the absorptions at the two different wavelengths. The use of multiple wavelengths or of the whole spectrum was proposed [91, 96] to discriminate other haemoglobin derivates. Non-invasive sensors use the light transmitted through body extremities, such as earlobes, toes, or fingertips, but suffer from strong signals from adjacent tissues [122]. Blood oxygen saturation has also been measured in teeth [94] by measuring reflectance in the visible to near-infrared spectral range (typically at 660 and 850 nm). The use of spectrophotometer analysers [40] enabled the real-time measurement of intracapillary haemoglobin oxygenation and concentration, local oxygen uptake rate, local capillary blood flow, changes in subcellular particle sizes, and capillary wall permeability. The tissue was illuminated by a Xenon arc lamp via a bifurcated fiber bundle—and the back-scattered light provided in situ, real-time spectra of small volumes of tissue.
Haemoglobin is fully saturated at ≈100 Torr—and its use for the indirect measurement of oxygen concentration has limited application in the case of the respiration of gas mixtures with oxygen contents larger than 20%, as routinely used in anaesthesia. The first oxygen sensor involving optrodes used perylene-dibutyrate as a fluorophore fixed on amberlite resin beads at the end of two plastic optical fibers that were coated by a hydrophobic membrane permeable to oxygen [109, 133]. In vivo testing was carried out in dog eyes by measuring the fluorophore quenching due to arterial oxygen. A non-invasive sensor measured the oxygen flow at the skin surface to provide information on the oxygen flow inside the underlying tissue [61]: two optrodes based on a ruthenium complex were placed in contact with the skin—and used to measure, in real time, the difference in oxygen pressure across a membrane. An oxygen sensor using MNFs relied on the fluorescence quenching of tris-(1,10-phenanthroline)ruthenium(II) chloride in the presence of oxygen or dissolved oxygen [119] and provided a detection limit of 1×10−17 mol with response times shorter than 1 s, in volumes as small as 100 fL.
6.2.5 Temperature
Because of the immunity of fibers to electromagnetic interference, optical fiber thermometry has found application in the controlled heating of biological tissues—e.g. hyperthermia for cancer treatment, the thermal mapping during photoradiation therapy of malignant tumors and the thermodilution technique for blood flow measurement. A number of mechanisms have been proposed, including all-fiber devices [18], the use of transducers [33] or wavelength modulators [75, 108]. In one of its early demonstrations, a reflective fiber Fabry–Perot resonator [75] that was formed by coating the fiber end-face with a dielectric was used for continuous temperature monitoring in hyperthermia systems, covering the temperature range 25–45 °C, with a resolution better than 0.1 °C. Subsequently, a thermographic phosphor containing rare-earth atoms was bonded to the end of an optical fiber (~ 400 µm core diameter)—and the variation of its fluorescence with the temperature was utilized as a transduction sensing mechanism [156] in the −50 to 200 °C operational range, with an accuracy of 0.1 °C. Long period gratings [66] and fiber Bragg gratings (FBG) have also been exploited for thermometry with a sensitivity up to 175 pm/°C [115]. FBG thermometry has been used to perform distributed measurements in soft-tissue [121] by means of an array of ten gratings. The biocompability of the optical fiber sensor has been a major issue, with a number of coatings such as polyimide, polydimethylsiloxane (PDMS), ethylene-tetrafluoroethylene (or Tefzel®), and polytetrafluoroethylene (or Teflon) being investigated for biomedical applications [14, 118]
MNFs have also been used in temperature sensing, in the form of a simple modal interferometer [166], by coating the waist region with a material having a high thermo-optic coefficient. In this design, the interference pattern strongly depends on the refractive index, which in turn depends on the ambient temperature—with an operational range from −20 to 80 °C. The lyotropic liquid crystal decylammonium chloride/water/NH4CI (DACI-LLC) was combined with an MNF to produce a thermometer with an operating range from 40 to 80 °C [148]. Coating the MNF with a sol-gel thin-film that entrapped quantum dots provided variations in photoluminescence with temperature in the range from 30 to 70 °C, with a sensitivity of 1%/°C [162, 163]. An in-line Mach-Zehnder using two cascaded MNFs to excite and recombine the cladding mode with the core mode provided a sensitivity of 0.08 nm/°C over the temperature range from 20 to 60 °C [86, 90]. A 100 μm long intrinsic Fabry–Perot etalon fabricated using a femtosecond laser on the waist of a 30 μm diameter MNF [164] provided the means to measure temperature in the range from 0 to 100 °C, with a sensitivity of 12 pm/°C. Temperature and strain discrimination were achieved by exploiting multimode interference in a tapered core-less multimode fiber [3]: the temperature and strain resolutions were 1.6°C and 5.6 με, respectively. A tapered bend-resistant fiber, with different phase shifts between the inner and the outer cladding modes, provided a temperature sensitivity of −0.0253 rad/°C [89].
The combination of MNFs with Bragg gratings as end-reflectors showed a sensitivity of 9.7 pm/°C between 20 and 70 °C [65]. An MNF coupler tip thermometer was also demonstrated at temperatures up to 1283 °C—with a 2-dimensional resolution of <200 μm, a sensitivity of 11.96 pm/°C—and a detection limit of 0.836 °C for a wavelength resolution of 10 pm [31]. A 4.4 μm long micro-cavity fabricated within an MNF tip section smaller than 10 μm in diameter provided a reflective Fabry–Perot modal interferometer with a temperature sensitivity of 20 pm/°C between 19 and 520 °C, and a detection limit of 0.58 °C [77]. A similar temperature probe using a first-order, 36.6 μm long, FBG fabricated by focused ion-beam machining in a 6.5 μm diameter MNF demonstrated a similar sensitivity of 20 pm/°C and was operated at temperatures up to 500 °C [78]. A shorter device combining an MNF tip and a FBG exhibited a similar temperature sensitivity [38].
Tapered photonic crystal fiber coated with a layer of liquid crystal provided a sensitivity of 0.2 nm/°C within an operational range of 50–78 °C [114, 125]. Microfiber coil resonators embedded in Teflon with opposite thermo-optic coefficients were proposed and demonstrated as a temperature-insensitive device [20, 21] and showed a sensitivity of <6 pm/°C at room temperature.
6.2.6 Pressure
Although pressure sensors have found many applications in medicine [113, 118], most optical fiber pressure sensors have been designed for inclusion in catheters. The early sensors relied on monitoring the movement of mirrors mechanically coupled to pressure-sensitive membranes, which results in the modulation of light reflected and coupled into the output [82, 87, 95]. Applications included intra-muscular [26, 101], intra-cranial [107], cardiovascular [126] and skeletal muscle [124] pressure monitoring, airway pressure monitoring in young [131, 132] and in mechanically ventilated patients [29]—and even urological neurology and urodynamics. A typical fiber optic pressure sensor device is based on a pressure-balancing system: a pressure-sensitive membrane, located in a side hole of the catheter tip, is attached to a cantilever mirror. Under pressure, the membrane deflects the cantilever mirror with respect to the end of the fiber bundle and proportionally alters the intensity of the back-reflected light. Membranes have been positioned either at the distal end of the optical fiber [76, 100] or on the side [110, 142], in order to decrease the artefacts related to biological flow. Another typical fiber optic pressure sensor is based on a bifurcated fiber optic bundle with a pressure-sensitive membrane diaphragm at the end [51]. Although the sensor operated up to a pressure of 3000 mm of mercury (mmHg), the device response was highly nonlinear above 1000 mmHg. Physiological measurements could be performed in the range from 100 to 300 mmHg, with a typical linearity of 0.5% and a temperature shift of 0.1%/°C [50]. This micro-transducer was deployed in the measurement of pressure profiles in urethral conducts [58] and of intra-uterine pressure during labour [136, 137]—and provided results in agreement with those obtained using a catheter-tip bridge strain-gauge transducer [143]. The use of an external Fabry–Perot cavity bonded to the end of the fiber [25, 139] has made it possible to improve the pressure sensitivity, at the expense of the size. Diaphragms made of polymers [22, 23] or silica [34] have been added at the ends of optical fibers that were previously etched to form Fabry–Perot cavities, providing a more robust solution—with a dynamic range of 0–1200 kPa and resolutions of 10 Pa and 30 Pa, respectively.
Other optical fiber pressure transducers have relied on mirror bending rather than displacement [81]: in this design, the light is brought to the diaphragm surface by a cylindrical array of fibers and the reflected light from the diaphragm is then distributed over an array of collection fibers arranged concentrically around the illumination fibers. The pressure is calculated from the ratio of the amount of light received by an outer ring of collection fibers to that from an inner ring with more collection fibers.
More recent manometers have exploited Bragg gratings [5], which enables multiplexing [10] up to a series of seventy-two sensing elements—with a distance of 1 cm separating the adjacent sensing elements. Optical fiber manometry in catheters has shown extremely high sensitivity, enabling immediate applications in colonic diagnostics [4, 6, 32] and high-resolution mapping of the upper gastrointestinal tract [151].
Multiplexing has also enabled easy embedding of sensor fibers in pressure mats [112] with applications in pedobarography [52], which was previously carried out using critical reflection at the interface between plastic and glass [12]. Long period gratings in polymeric fibers [19] have been proposed for pressures up to 150 mbar and showed a sensitivity of 10.5 pm/mbar. Hollow-core microstructured fibers have been used for pressure sensing by selectively blocking cladding air holes by glue sealing and femtosecond laser machining [63]. By immersing the fiber end into a liquid, a compressible Fabry–Pérot cavity was formed in the fiber core of the PCF. A pressure sensitivity of 18.15 nm/kPa was demonstrated experimentally in the pressure range from 110 to 130 kPa.
6.2.7 Blood Flow
The velocity of blood flow in vessels is an important measurable quantity for medical applications, such as thrombosis and strokes, and it has been monitored using laser Doppler flowmetry [67, 79, 98], which relates the Doppler frequency shift of laser light scattered by moving blood to its flow velocity. The fiberized version of laser Doppler flowmetry allows for invasive measurements of blood flow [68]. Figure 6.9 shows the basic scheme for fiber-optic laser Doppler flowmetry: light from a laser is guided by an optical fibre onto the tissue or vascular network being studied, where it is scattered and partially absorbed by the tissue [72]. Light scattered by moving blood cells suffers a Doppler shift, which is analysed by the detector and is then processed to derive the blood flow rate through spectral analysis [99].
This technique has been widely applied in cardiology and has even been used to evaluate phasic blood flow in deeper intramyocardial layers [99]—having been previously restricted to the epimyocardium because of methodological limitations. It has also been used to visualize and measure non-invasively the middle cardiac vein flow [53]. The use of feedback optical stabilization has been shown to improve significantly the Doppler signal in self-mixing intra-arterial measurements [30]. On the other hand, the target scattering properties have proved to be a major issue that hinders the sensor detection limit [160]. Self-mixing laser Doppler performed on extra-corporeal blood flow has shown that the Doppler shift is generated by erythrocyte cells [104, 105].
6.2.8 Endoscopy
Although many different types of sensor have been developed for applications in the biomedical realm, it is fair to state that the most successful application of optical fibers in healthcare is represented by the endoscope, which has been integrated with gas/liquid delivery lines and cutting tools for keyhole surgery and investigation of symptoms, mostly of the gastro-intestinal and respiratory tracts.
Even though in its original conception the endoscope was designed in the form of an array of small diameter optical fibers that transferred, in a coherent manner, a visual image over a distance of the order of 1 m [35], the most recent research has aimed to replace the use of numerous optical fiber cores (each representing a single pixel) with a single optical fiber supporting thousands of micrometric cores supported by thin struts [158] or with a single solid fiber supporting multiple modes [24, 48]. Multicore fibers made from suspended cores with air claddings have an extremely large numerical aperture—and each core can guide modes at visible wavelengths in a very small, sub-micron diameter—thus reducing the overall size of a single pixel. The use of polarization maintaining cores [73], semi-random arrangements [74] and proximal detection [154] in these multicore fibers allowed also for adaptive multiphoton endomicroscopy, which it has been suggested could allow for internal cell-scale examination, even during neurosurgery.
The use of one multimode fiber (MMF) allows the reduction of the endoscope cross-section by a factor of 20x, thus increasing the endoscope flexibility, while preserving a high resolution [93]. MMF endoscopy has quite suddenly become available because of the development of a device, named the photonic lantern [83, 84], that is capable of relating each mode of an array of optical fibers, to a single mode (or finite linear combination of modes) in an MMF. The photonic lantern has made it possible to transfer the information associated with each single spatial position to a different mode that can propagate in the same physical position as for other modes, thereby reducing the overall footprint of the average endoscope. Additional analysis on the phase relationship between the different modes has been used to focus light transmitted through an MMF to an unprecedentedly small size, to remove lenses at the endoscope ends and to reconstruct images behind the fibers using holographic techniques [24] (Fig. 6.10).
Endoscopy has seen significant development in extending its operational range towards longer wavelengths [123], allowing for thermal imaging of internal organs and easier detection of tumours. Although the intrinsic fragility of chalcogenide glasses and their relatively poor compatibility with biological matter seems to be a major hurdle for the deployment of mid-IR endoscopes in the operating theatre, suitable packaging would solve these issues and allow for additional information on thermal imaging to be made readily available during surgery.
In order to visualize remotely and noninvasively the tissue microstructure and operation with micrometre resolution, optical coherence tomography (OCT) has been integrated within endoscopy, providing real time 3D imaging. Figure 6.11 shows a configuration where an external Michelson interferometer has been used to compensate the optical path difference between the reference and the signal coming from the sample in the endoscopic Fizeau sensing interferometer, which included a graded index lens at its end.
A more significant development in endoscopy could possibly come from the deployment of high power lasers in surgery procedures. In addition to the optical fiber bundles utilised to deliver imaging, current endoscopes include light delivery systems to illuminate the organs—and a channel to deliver medical instruments to manipulate and cut tissues. High power lasers have been used for a variety of material processing tasks and it is not inconceivable to think that in future they will replace the medical instrumentation used within endoscopes to cut and incise biological tissue. Indeed, carbon dioxide (CO2) and Neodynium YAG lasers have both been advocated for reduction of bleeding during surgery and post-operative ecchymosis [145].
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Ding, M., Brambilla, G. (2020). Optical Fiber Sensors. In: De La Rue, R., Herzig, H.P., Gerken, M. (eds) Biomedical Optical Sensors. Biological and Medical Physics, Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-48387-6_6
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