Along similar lines, coupled non-Hermitian systems have provided yet additional degrees of freedom to obtain better sensors via higher-order exceptional points. Quite recently, a new class of non-Hermitian systems, known as non-Hermitian topological sensors (NTOS) has been theoretically proposed. ...
Non-Hermitian degeneracy, known as exceptional points (EPs), has recently gained much attention because skewed vector space may increase symmetry by losing dimensionality1,2. Thus, breaking this symmetry may change the eigenfrequencies sharply, rendering a sensitive feature to external perturbations ε....
Chapter 10 Sensitivity Analysis of Nonlinear Demographic Models 10.1 Introduction Nonlinearities in demographic models arise due to density dependence, frequency dependence (in 2-sex models), feedback through the environment or the economy, recruitment subsidy due to immigration, and from the scaling ...
When a resonant Hermitian system (or even non-Hermitian systems operating away from EPs) is subject to perturbation of orderϵ, its eigenvalues (resonant frequencies for example in the case of resonators) undergo a shift that scales linearly with perturbation parameter. In contrast, the shift of...
Chiral exceptional point and coherent suppression of backscattering in silicon microring with low loss Mie scatterer Non-Hermitian systems with their spectral degeneracies known as exceptional points (EPs) have been explored for lasing, controlling light transport, and en... H Lee,A Kecebas,F Wang,...
17、visibility is a function of the source structure and the interferometer baseline The visibility is not a function of the absolute position of the telescopes (provided the emission is time-invariant, and is located in the far field) The visibility is Hermitian: V (-u,-v) = V *(u,v)...
where z(t)={z1(t), z2(t), . . . , zM(t)}Tis a vector consisting of the signals received in each of the M antennas in antenna array103, and wrH={w*r1, w*r2, . . . , w*rM} is the Hermitian transpose of a receive weight vector corresponding to the selected transceiver. ...
Embodiments of the invention establish relationships between the generalized eigenvalue system and two related eigenvalue systems where the associated matrices are Hermitian. Embodiments of the invention can reduce the computational and storage costs and avoid the computation of large matrices by using ...
Non-Hermitian photonic systems capable of perfectly absorbing incident radiation recently attracted much attention both because fundamentally they correspond to an exotic scattering phenomenon (a real-valued scattering matrix zero) and because their extreme sensitivity holds great technological promise. The ...
The presented results describe fundamental vibrational properties of PT-symmetric elastic media supporting exceptional points, whose sensitivity to perturbations goes beyond the linear dependency commonly encountered in Hermitian systems. The findings are thus promising for applications involving sensing of ...