Transient growth is a counterintuitive dynamical process in which a system state or observable undergoes pronounced temporary amplification during its evolution, even in the presence of substantial dissipation. Here, we demonstrate time-domain transient growth in non-Hermitian cascaded LC circuits with unidirectional coupling. Under short-pulse excitation, the aggregate voltage-envelope response exhibits pronounced transient growth. As the number of dissipative resonators increases, the transient peak becomes substantially larger. Comparisons between uniform-loss and nonuniform-loss configurations show that the growth persists when the exact exceptional-point (EP) condition is lifted, indicating that it is governed mainly by unidirectional cascaded coupling and is not restricted to an exact EP condition. The normalized time-domain gain $G_N\left(t\right)$ further quantifies the finite-time growth of the cascaded system. These results establish unidirectionally coupled non-Hermitian circuits as a circuit-realizable platform for studying and engineering time-domain transient growth, thereby connecting non-Hermitian physics with transient growth.

Close

PrevNext

View figure in article

• Exceptional points
• Non-Hermitian systems