  The transmission poles of $N$ number of identical Dirac delta potentials
placed periodically in one-dimension are examined in the complex-energy plane.
The numerical results show that the imaginary part of the poles scales with
1/N. An approximate form of the poles is derived which supports the scaling
behaviour of the poles found numerically. It is shown that the imaginary part
of the poles are proportional to their real part for the poles close to the
ends of the bands.
