Exceptional points in the thermoacoustic spectrum
arXiv:1807.08793 · doi:10.1016/j.jsv.2018.06.069
Abstract
Exceptional points are found in the spectrum of a prototypical thermoacoustic system as the parameters of the flame transfer function are varied. At these points, two eigenvalues and the associated eigenfunctions coalesce. The system's sensitivity to changes in the parameters becomes infinite. Two eigenvalue branches collide at the exceptional point as the interaction index is increased. One branch originates from a purely acoustic mode, whereas the other branch originates from an intrinsic thermoacoustic mode. The existence of exceptional points in thermoacoustic systems has implications for physical understanding, computing, modeling and control.
1 figure, 5 pages
References in corpus (4)
- The physics of exceptional points
- Coupling of eigenvalues of complex matrices at diabolic and exceptional points
- Non-Hermitian Acoustic Metamaterials: the role of Exceptional Points in sound absorption
- Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity
Cited by in corpus (4)
- Stabilization of acoustic modes using Helmholtz and Quarter-Wave resonators tuned at exceptional points
- Real-time thermoacoustic data assimilation
- Degenerate perturbation theory in thermoacoustics: high-order sensitivities and exceptional points
- Adjoint characteristic decomposition of one-dimensional waves