The waveguide theories of the last two chapters were based on some elementary mechanics modeling; the question obviously arises as to the adequacy of these models. We will try to clarify the issues involved by considering some exact solutions of waves in waveguides; this is a difficult and mathematically cumbersome area so only a limited number of aspects will be treated. The chapter begins by looking at waves in extended media and waves in bounded media as illustrated in Figure 4.1. Perhaps the most important insight into the functioning of the exact waveguides is the number of modes they support — in fact, they support an infinity of modes. We will show that the behavior of these modes was anticipated by considering the effects of elastic constraint in the elementary models.
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- Higher-Order Waveguides
James F. Doyle
- Springer New York
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