An analysis is made of the problem of waveguides coupled via small aperture
s. A method of matching the asymptotic expansions of solutions is used to f
ind the asymptotic form of the eigenvalue which tends to the lower limit of
the continuous spectrum for a small parameter, i.e., the aperture diameter
. A similar asymptotic form is obtained for several coupling apertures. (C)
1999 American Institute of Physics. [S1063-7850(99)01002-2].