An Application of Sturm-Liouville Theory to a Class of Two-Part Boundary-Value Problems (Classic Reprint) - Softcover
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Excerpt from An Application of Sturm-Liouville Theory to a Class of Two-Part Boundary-Value Problems
The mathematical aspects of the theory of wave propagation in longitudinally uniform waveguides are discussed in sturm-liouville theory, which deals with the existence of a set of experimentally determinable normal modes or eigenfunctions and corresponding eigenvalues. Regardless of the transverse variation of the electrical properties of the guide in particular cases, the theory furnishes a list of qualitative properties which the eigenfunctions and eigenvalues share with all other eigenfunctions and eigenvalues corresponding to the same boundary conditions. When a semi-infinite bifurcation is introduced into the guide, two or more semi-infinite waveguides result; the difference between the electrical properties of these waveguides is mathematically exhibited in a change of boundary condition or interval of definition of the modes and also in the new eigenfunctions and eigenvalues that arise. These form a complete set of functions in the narrower waveguide created by the bifurcation. The qualitative properties of this new set of functions are not the same as those possessed by the functions relating to the undisturbed part of the waveguide.
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An Application of Sturm-Liouville Theory to a Class of Two-Part Boundary-Value
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a new method for solving a class of two-part boundary value problems. The author uses Sturm Liouville theory to establish a connection between the theory of two-part boundary-value problems and the theory of waveguides. The book begins by formulating a waveguide problem dealing with a symmetrically bifurcated waveguide supporting one incident propagating mode. The author then discusses some general properties of the solution which are guaranteed a priori by Sturm-Liouville theory. On the basis of the information collected, the author constructs the solution to the problem. The book concludes with a brief discussion of the relation to Wiener-Hopf theory. This book will be of interest to mathematicians and physicists working in the areas of waveguides and boundary value problems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330151259_0
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An Application of SturmLiouville Theory to a Class of TwoPart BoundaryValue Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330151259
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An Application of SturmLiouville Theory to a Class of TwoPart BoundaryValue Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330151259
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