Finite One-Dimensional Periodic Systems, Difference Equations

  • Ingram Bloch

Abstract

In this chapter we shall discuss certain systems, mechanical and electrical, whose properties are periodic or repetitive along the length of the systems. We shall begin with systems of finite length and shall later go on to discuss infinite systems. We shall find that, in defining normal coordinates for periodic systems, we are describing wavelike motions; the study of waves in such systems will give new insights into the properties of the systems.

Keywords

Normal Mode Difference Equation Standing Wave Sine Function Electrical Analog 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

  1. 1.
    A famous book on waves in periodic systems is Brillouin, L. Wave Propagation in Periodic Structures. New York: McGraw Hill, 1946; Dover Reprint, 1953.Google Scholar
  2. 2.
    Similar systems are discussed in books on lattice vibrations, for example, Seitz, F. Modern Theory of Solids. New York: McGraw Hill, 1940.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Ingram Bloch

There are no affiliations available

Personalised recommendations