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Phase

To complete the specification of the solution at any point tex2html_wrap_inline974 , we need not only the amplitude, but also the phase. For waves traveling out in the radial direction away from the point source, we expect a form just like the string, tex2html_wrap_inline1018 , where tex2html_wrap_inline1020 is some phase. Given what we know of the amplitude from Eq. 3, the solution at any point tex2html_wrap_inline974 at distance tex2html_wrap_inline1024 from the slit is then

  eqnarray85

Note that, we here have written the answer also in complex form, tex2html_wrap_inline1026 which describes simple harmonic oscillations of complex amplitude

  equation96

This will be useful in future sections.



Tomas Arias
Thu Sep 13 15:26:14 EDT 2001