2025/12/24 by Alex Krasnok, Krasnok, Alex
Physics and Astronomy · Computer Science · #Topological Materials and Phenomena #Neural Networks and Reservoir Computing #Quantum Mechanics and Non-Hermitian Physics
paper · doi:10.48550/arxiv.2512.21285
Resonant phase shifters inevitably mix phase and amplitude. We present a topological synthesis that guarantees a full 2π phase swing at a prescribed constant scattering magnitude |Sij|=C by winding a scattering zero around the operating point in the complex-frequency plane while avoiding pole windings. We realize this either by complex-frequency waveform excitation on an iso-|Sij| (Apollonius) loop or by adiabatic co-modulation of detuning and decay at fixed carrier, suppressing AM--PM conversion and quantizing Δϕ by the Argument Principle. The approach targets integrated resonant modulators, programmable photonic circuits, and quantum/beam-steering interferometers that require amplitude-flat phase shifts.