Generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow></mml:math> Symmetry in Non-Hermitian Wireless Power Transfer Systems
Yuhao Wu, Lei Kang, Douglas H. Werner
Abstract
We show that, by using a saturable gain ${g}_{\mathrm{sat}}$, generalized $\mathcal{P}\mathcal{T}$ ($G\mathcal{P}\mathcal{T}$) symmetry can be achieved in the intrinsically unbalanced (non-$\mathcal{P}\mathcal{T}$-symmetric) high-order wireless power transfer systems. A topology decomposition approach is implemented to analyze the parity of the high-order wireless power transfer systems. In the coupling parametric space, a global $G\mathcal{P}\mathcal{T}$-symmetric eigenstate is observed along with the spontaneous phase transition of the local $G\mathcal{P}\mathcal{T}$-symmetric eigenstates on the exceptional contour. $G\mathcal{P}\mathcal{T}$ symmetry guarantees a highly efficient and stable power transfer across the distinct coupling regions, which introduces a new paradigm for a broad range of application scenarios involving asymmetric coupling.