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Unformatted text preview: Making use of the trigonometric identity (see Appendix B), the previous expression can also be written
(380) which is a standing wave [cf., Equation (362)]. Evidently, a standing wave is a linear superposition of two,
otherwise identical, traveling waves that propagate in opposite directions. The two waves completely cancel one
another out at the nodes, which are situated at
, where is an integer. This process is
known as total dest ruct iv e int erf erence. On the other hand, the waves reinforce one another at the anti- nodes,
which are situated at
, generating a wave whose amplitude is twice that of the component waves.
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- Fall '08
- Waves And Optics