  We demonstrate scattering control of Gaussian-like wave packets propagating
with constant envelope velocity and invariant waist through coupled resonator
optical waveguides (CROW) via an external resonator coupled to multiple sites
of the CROW. We calculate the analytical reflectance and transmittance using
standard scattering methods from waveguide quantum electrodynamics and show it
is possible to approximate them for an external resonator detuned to the CROW.
Our analytical and approximate results are in good agreement with numerical
simulations. We engineer various configurations using an external resonator
coupled to two sites of a CROW to show light trapping with effective
exponential decay between the coupling sites, wave packet splitting into two
pairs of identical Gaussian-like wave packets, and a non-local Mach-Zehnder
interferometer.
