Download Silicon Photonics: An Introduction by Graham T. Reed PDF
By Graham T. Reed
The growing to be call for for fast and trustworthy communique implies that photonic circuits are more and more discovering purposes in optical communications platforms. one of many top applicants to supply passable functionality at cost-effective within the photonic circuit is silicon. while silicon photonics is much less good constructed compared to a couple different fabric applied sciences, it truly is poised to make a major effect at the telecommunications undefined, in addition to in lots of different functions, as different applied sciences fail to satisfy the yield/performance/cost trade-offs. Following a sympathetic instructional strategy, this primary e-book on silicon photonics presents a finished evaluate of the expertise. Silicon Photonics explains the suggestions of the expertise, taking the reader throughout the introductory rules, directly to extra advanced construction blocks of the optical circuit. beginning with the fundamentals of waveguides and the houses ordinary to silicon, the e-book additionally features:Key layout matters in optical circuits.Experimental methods.Evaluation techniques.Operation of waveguide dependent devices.Fabrication of silicon waveguide circuits.Evaluation of silicon photonic systems.Numerous labored examples, versions and case studies.Silicon Photonics is a vital software for photonics engineers and younger pros operating within the optical community, optical communications and semiconductor industries. This booklet is usually a useful reference and a possible major textual content to senior undergraduates and postgraduate scholars learning fibre optics, built-in optics, or optical community expertise.
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Example text
1 THE RAY OPTICS APPROACH TO DESCRIBING PLANAR WAVEGUIDES The study of light is a study of electromagnetic waves. Consequently the photonics engineer will inevitably encounter electromagnetic theory during his or her career. However, the rigours of Maxwell’s equations are not always required for all applications, and one can make significant progress in understanding the basics of guided wave propagation with more simple models. Therefore this section introduces the well-known ray optical model, and uses this model to investigate a number of important phenomena in simple optical waveguides.
As we know, a term ejϕ corresponds to a propagating sinusoidal/cosinusoidal type field, whereas e−ϕ simply corresponds to an exponentially decaying field. Thus imaginary propagation constants in the claddings, whilst valid solutions to the wave equation, represent fields propagating in the y direction through the claddings, and hence not to a totally internally reflected field. Hence all solutions other than totally internally reflected (guided) waves were ignored. This does however, provide us with even more insight into the modal solutions of the planar waveguide.
5. 5. 4 Monomode Conditions It is often convenient for a waveguide to support only a single mode, for a given polarisation of light. Such a waveguide is referred to as monomode. 7 Solution of the eigenvalue equation for m = 0 (silicon-on-insulator) We will return to this point later in this text. 31) tan 2 cos θ1 Considering the second mode, with mode number m = 1, the limiting condition for this mode is that the propagation angle is equal to the critical angle. Under these circumstances the square-root term reduces to zero.