  We study the transmission of light through a system consisting of an
arbitrary number $N$ of microtoroidal resonators coupled to a one-dimensional
(1D) waveguide. The transmission $T$ through such a system and its full-width
at half-maximum (FWHM) are calculated for various values of $N$ and mutual-mode
coupling coefficients. We found that at small mutual-mode coupling, the minimum
transmission vanishes exponentially with $N$ while the FWHM is proportional to
$\sqrt{N}$. At big mutual-mode coupling, as the number of resonators increases,
the mode-splitting is reduced. Our findings contribute to better understanding
of novel interfaces between quantum emitters and resonant photonic structures
for quantum information processing.
