Department of Mathematics, Koç University, Istanbul, Turkey.
Phys Rev Lett. 2013 Jun 28;110(26):260402. doi: 10.1103/PhysRevLett.110.260402. Epub 2013 Jun 25.
We introduce a notion of spectral singularity that applies for a general class of nonlinear Schrödinger operators involving a confined nonlinearity. The presence of the nonlinearity does not break the parity-reflection symmetry of spectral singularities but makes them amplitude dependent. Nonlinear spectral singularities are, therefore, associated with a resonance effect that produces amplified waves with a specific amplitude-wavelength profile. We explore the consequences of this phenomenon for a complex δ-function potential that is subject to a general confined nonlinearity.
我们引入了一种谱奇异的概念，它适用于一类包含受限非线性项的非线性薛定谔算子。非线性的存在不会打破谱奇异的宇称反射对称性，而是使它们的幅度依赖于。因此，非线性谱奇异与共振效应相关联，产生具有特定幅度-波长分布的放大波。我们探讨了这种现象对受一般受限非线性影响的复δ函数势的影响。
