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To detect an analyte, surface plasmons whose characteristics are sensitive to the refractive-index variations close to the sensor's surface are excited and measured. Binding of the target analyte onto the sensor's surface will cause changes in refractive index and hence in the measured plasmonic characteristics. Depending on what type of surface plasmon is excited (e.g. surface plasmon polariton (SPP), Fano resonance), which plasmonic characteristic is measured/modulated (e.g. resonance wavelength, transmitted light intensity), and in what manner the bio-functionalization (i.e. binding of the target analyte) is performed, there are many different configurations for plasmonic biosensors, which will be reviewed in this chapter. The ultimate goal is to increase the sensor's sensitivity and the figure of merit. To achieve this goal, one must first understand the physics of the resonances, and then implement a smart structural design. In this chapter, two design methods will be introduced: an N-layer model and a finite-element-method (FEM) model, which are further elaborated by presentation of three biosensor design examples.
Introduction
A biosensor is a device for detecting an analyte, which typically combines a biological component with a physiochemical detector. For instance, a blood-glucose biosensor uses the enzyme glucose oxidase to break blood glucose down. In doing so it first oxidizes glucose and uses two electrons to reduce the FAD (a component of the enzyme) to FADH2. Then the FADH2 is oxidized by accepting two electrons from the electrode.
Plasmons, being the electromagnetic eigenoscillations of intrinsic charges, play an important role in the electrodynamics of metals and determine the main optical properties of metal structures. Following the classification given in Section 1.3.1, there are two types of plasmons – longitudinal and transverse. Both types are inherent to any metal and appear equally in metal structures. Longitudinal plasmons define the optical response of metals to conservative fields, while transverse plasmons define the response to solenoidal fields. Therefore, transverse plasmons are more attractive for optical applications, since they provide resonant interaction with photons, in contrast to longitudinal plasmons, which require very specific conditions, such as certain electron density profiles or applied external magnetic/electric fields, in order for them to interact with photons. In this chapter, we consider transverse plasmons supported by different metal nanostructures in spherical, cylindrical, and planar geometries. By solving eigenvalue and scattering problems, we discuss the properties of these plasmons and study their coupling with incident photons.
Plasmonic modes in spherical geometry
In this section, we consider the transverse eigenmodes supported in structures with spherical geometry. Within the vector spherical-harmonics formalism, we study the plasmonic modes of a metal sphere and a spherical cavity in a bulk metal. Also, we investigate the scattering of plane waves by metal nanoparticles and make a generalization for the case of a multilayer sphere.
Data communication and information processing are driving the rapid development of ultra-high speed and ultra-compactness in nano-photo-electronic integration. Plasmonics technology has in recent years demonstrated the promise to overcome the size mismatch between microscale photonic and nanoscale electronic integration, and it likely will be crucial for the next generation of on-chip optical nano-interconnects, enabling the deployment of small-footprint and low-energy integrated circuitry.
The phenomenon of surface plasmons was first observed in the Lycurgus cup, which is a Roman glass cage cup in the British Museum, London, UK. This special cup is made of a dichroic glass that shows a different color depending on the condition of illumination. Specifically, in daylight, the cup appears to have a green color, which means that light is being reflected from the cup; however, when a light is shone into the cup and transmitted through the glass, it appears to have a red color. Today, we know that this fascinating behavior is due to nanoscopic-scale gold and silver particles embedded in the glass. However, it took 1500 years and doubtless countless fantastic interpretations for a plausible explanation to emerge. In the last few decades, the phenomenon of surface plasmons has been extensively studied both theoretically and experimentally, and there have been attempts to use it for various applications ranging from solar-cell energy and sensing to nanophotonic devices.
This chapter presents the hybrid plasmonic waveguide (HPW) platform and its components. In particular, the effective mode index, propagation distance, and mode confinement of the planar vertical hybrid plasmonic waveguides (VHPWs) are numerically characterized as functions of dimensions and materials in the near-infrared wavelengths. The chapter demonstrates that the vertical hybrid silver–silica–silicon plasmonic waveguide achieves better propagation characteristics than those of the counterpart silver–silica–silver MIM and silicon-based dielectric-loaded plasmonic waveguide. Moreover, we propose and design various passive waveguide-based components based on the optimized VHPW, including bends, power-splitters, couplers, and ring resonator filters. An important issue is how to implement these HPW-based components and devices in standard complementary metal–oxide–semiconductor (CMOS) electronic–photonic integrated circuits. To meet this requirement, two CMOS-compatible HPW platforms, namely a copper-cap VHPW and a hybrid horizontal copper–silicon dioxide–siliconsilicon dioxide–copper plasmonic waveguide, and devices based on them such as bends and ring resonator filters are subjected to further investigation both in experiments and in theory in the subsequent sections.
Introduction
In the context of communications and information processing, integration of photonic and nanoelectronic devices on the same chip would lead to a tremendous synergy by combining the ultra-compactness of nanoelectronics with the super-wide bandwidth of photonics. Such integration will benefit considerably from the application of nanotechnology for data-processing, sensing, medical, health-care, and energy purposes. In recent years, it has been demonstrated theoretically and experimentally that plasmonic devices, taking advantage of plasmon-enabled tight modal confinement, promise to overcome the size mismatch between microscale photonics and nanoscale electronics.
Photonic devices integrated in Si optoelectronic circuits offer less power dissipation and larger bandwidth than those of electronic components, but suffer from a larger footprint due to the fundamental diffraction limit of light in dielectric waveguides and the weak optical response of Si. These two limitations may be overcome by utilizing plasmonics owing to the tight optical mode confinement in plasmonic waveguides. Besides the capability of miniaturization of photonic devices on the nanometer scale, plasmonics also provides the potential to design novel photonic devices due to the incorporation of metal and dielectrics. In this chapter, we present Si-based active plasmonic devices developed in our laboratory, including modulators and detectors. These active plasmonic devices can be seamlessly integrated into existing Si optoelectronic circuits using standard CMOS technology.
Introduction
Silicon photonics, in which photonic devices are fabricated on silicon-on-insulator (SOI) platforms using mature CMOS technology, has been well developed recently for high-performance Si electronic-photonic integration circuits (EPICs) [1]. In particular, integrated Si modulators and Ge-on-Si detectors with performances competitive with those of their counterparts based on III–V semiconductors have been demonstrated [2, 3]. However, due to the fundamental diffractive limit of light in dielectric waveguides as well as the weak optical response of Si, the Si photonic devices suffer from large footprints. For example, Mach–Zehnder-based Si modulators, which are mostly implemented in Si EPICs, require a millimeter–scale length to reach π phase shift.
Get up to speed with digital holography with this concise and straightforward introduction to modern techniques and conventions. Building up from the basic principles of optics, this book describes key techniques in digital holography, such as phase-shifting holography, low-coherence holography, diffraction tomographic holography and optical scanning holography, discussing their practical applications, and accompanied by all the theory necessary to understand the underlying principles at work. A further chapter covers advanced techniques for producing computer-generated holograms. Extensive Matlab code is integrated with the text throughout and available for download online, illustrating both theoretical results and practical considerations such as aliasing, zero padding and sampling. Accompanied by end-of-chapter problems and an online solutions manual for instructors, this is an indispensable resource for students, researchers and engineers in the fields of optical image processing and digital holography.