  We investigate the rate of superradiant emission for a number of artificial
atoms (qubits) embedded in a one-dimensional open waveguide. More specifically,
we study the 1D (N+1)- qubit chain where N qubits are identical in respect to
their excitation frequency $\Omega$ but have different rates of spontaneous
emission $\Gamma_n$, and a single impurity qubit which is different from N
qubits by its excitation frequency $\Omega_P$ and rate of spontaneous emission
$\Gamma_P$. This system is shown to have two hybridized collective states which
accumulates the widths of all qubits. The energy spectrum of these states and
corresponding probabilities are investigated as the function of the frequency
detuning between the impurity and other qubits in a chain. It is shown that the
inclusion of impurity qubit alter the resonance widths of the system only in a
narrow range of the frequency detuning between qubits and impurity, where the
resonance widths experience a significant repulsion. The photon transmission
through disordered N- qubit chain with impurity qubit is also considered. It is
shown that a single photon transport through this system is described by a
simple expression which predicts for specific photon frequency the existence of
a complete transmission peak and transparency window between frequencies
$\Omega$ and $\Omega_P$.
