We propose physically realizable exceptional point degeneracies (EPDs) corresponding to synthetic reflectionless modes (SRMs). These are solutions of an auxiliary wave operator that is defined in synthetic frequency dimensions and describe incoming reflectionless waves onto a Floquet-driven cavity. The SRM-EPD emerges as a consequence of a local $\mathcal{PT}$ symmetry imposed on the auxiliary operator via appropriate Floquet driving. Its presence signifies the possibility to design wavefronts and time-modulated schemes with up or down targeted frequency conversion and flat transmission spectra. The theory is validated via simulations with driven RF resonators.

Close

PrevNext

View figure in article

• Optical & microwave phenomena
• Exceptional points
• Floquet systems
• Non-Hermitian systems
• Bloch-Floquet theorem
• PT-symmetry
• S-matrix method in transport
• Tight-binding model