Two-dimensional phase-space picture of the photonic crystal Fano laser

Abstract

The recently realized photonic crystal Fano laser constitutes the first demonstration of passive pulse generation in nanolasers [Nat. Photonics 11, 81-84 (2017)]. We show that the laser operation is confined to only two degrees-of-freedom after the initial transition stage. We show that the original 5D dynamic model can be reduced to a 1D model in a narrow region of the parameter space and it evolves into a 2D model after the exceptional point, where the eigenvalues transition from being purely to a complex conjugate pair. The 2D reduced model allows us to establish an effective band structure for the eigenvalue problem of the stability matrix to explain the laser dynamics. The reduced model is used to associate a previously unknown origin of instability with a new unstable periodic orbit separating the stable steady-state from the stable periodic orbit. * pmarka@elektro.dtu.dk † sar@elektro.dtu.dk ‡ jensenli@ust.hk arXiv:1903.03857v2 [physics.optics]

Semiconductor Fano Lasers

“…9 represents the stability boundary found from this analysis. The difference between the boundary of the yellow region and the dashed stability boundary is attributed to the occurrence of another bifurcation, a so-called generalized Hopf bifurcation, which gives rise to the co-existence of a stable fixed point solution and a stable limit-cycle solution [53]. Fig.…”

Coupled cavity-waveguide based on topological corner state and edge state

“…Although TCCWS is also affected by fabrication errors, its affected degree is far lower than that of CCCWS, which reflects a relatively excellent anti-interference performance. Therefore, the TCCWS proposed in this paper possesses excellent applicability for micro-nano integrated photonic devices that require strong localization, high Q (i.e., narrow linewidth) and stable resonance frequency, such as filters [3,4], lasers [7,8,24], etc.…”

“…With its unique band gap and local characteristics, photonic crystal (PC) has become an effective carrier for realizing on-chip integrated optical communication [1,2]. Coupled cavity-waveguide system (CCWS) based on PCs can realize the input, localization and output of optical signals, and has been widely used in filters [3,4], sensors [5,6], lasers [7,8] and other micro-nano integrated photonics devices. However, the performance of conventional optical waveguide and optical cavity is easily affected by obstacles and defects caused by actual fabrication errors.…”

Physics and Applications of High‐β Micro‐ and Nanolasers

“…Mathematically, the onset of self‐pulsing can be understood as a generalized Hopf (Bautin) bifurcation [ 188 ] and the parameter region where it occurs has been identified. [ 185,188 ]…”

“…Mathematically, the onset of selfpulsing can be understood as a generalized Hopf (Bautin) bifurcation [188] and the parameter region where it occurs has been identified. [185,188] By using buried heterostructure technology [169] to limit the gain region to the waveguide region, the appearance of selfpulsing can be avoided and the nanocavity can instead be used to modulate the laser. It has been predicted [171,189] that the Fano laser can be directly modulated at frequencies up to several hundred gigahertz, without the usual limitation to a few tens of gigahertz imposed by the excitation of relaxation oscillations.…”