An Application of SturmLiouville Theory to a Class of TwoPart BoundaryValue Problems Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 27.18
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Seller Inventory # LW-9781330151259
- Title
- An Application of SturmLiouville Theory to a Class of TwoPart BoundaryValue Problems Classic Reprint
- Author
- Samuel N. Karp
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1330151259
- ISBN 13
- 9781330151259
- Item weight
- 110 grams
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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PBShop.store US
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