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Non-dispersive wave group

For this case tex2html_wrap_inline5489 , hence (1.24) and (1.25) reduce to tex2html_wrap_inline5421 and tex2html_wrap_inline5493 , which imply S = tex2html_wrap_inline5497 . Moreover, tex2html_wrap_inline5499 and hence from (1.31) tex2html_wrap_inline5501 . Thus contours of S and M are straight parallel lines of slope tex2html_wrap_inline5507 on the x, t-plane. It follows that tex2html_wrap_inline4657 from (1.19) also depends only on tex2html_wrap_inline5515 . It has the same spatial form for all t or the same temporal form for all x. An example is a plane acoustic wave. If it were otherwise, then sound would not be a useful mode of communication, since receivers at different distances from a sound source would get different messages unless tex2html_wrap_inline5521 = constant.


next up previous contents
Next: Centered disturbances Up: Special cases Previous: Special cases

Steve Baum
Sun May 19 00:59:05 CDT 1996