Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results

摘要: We explore numerically, analytically, and experimentally the relationship between quasi-normal modes (QNMs) transmission resonance (TR) peaks in spectrum of one-dimensional (1D) quasi-1D open disordered systems. It is shown that for weak disorder there exist two types eigenstates: ordinary QNMs which are associated with a TR, hidden do not exhibit or within sample. The distinctive feature unlike ones, their lifetimes remain constant wide range strength disorder. In this range, averaged ratio number $N_{\rm res}$ to mod}$, res}/N_{\rm insensitive type degree close value $\sqrt{2/5}$, we derive analytically weak-scattering approximation. physical nature illustrated simple examples few scatterers. analogy segregation superradiant states trapped discussed. When coupling environment tuned by an external edge reflectors, superradiace transition reproduced. Hidden have been also found microwave measurements samples. modal analysis crossover localization systems give mod}$ $\sqrt{2/5}$. diffusive samples, however, falls as effective eigenchannels $M$ increases. Once divided $M$, 1D.