Application of Davidenko's Method to the Dispersion Relations in StronglyAbsorbing Thin-Film Waveguides

摘要

In highly dispersive, strongly absorbing thin-film waveguides or in complicatedwaveguiding structures the numerical solution of the relevant dispersion relations can be time-consuming. In a recent article the authors claimed that Davidenko's method might be a good alternative to all existing techniques to find the roots of a function. This method is described in detail in Chapter 2. The numerical implementation and results are discussed in Chapter 3. A second problem of analyzing strongly absorbing thin-film waveguides is the classification of the guided modes of the discrete part of the modal spectrum. This classification is discussed in Chapter 4. Finally, some general conclusions concerning zero searching methods are made in Chapter 5.