Non-Hermitian Dirac theory of topological-cavity surface-emitting laser
Oral-In-person · Withdrawn
Abstract
We develop the minimal analytical theory for describing the topological-cavity surface-emitting laser (TCSEL). This non-Hermitian Dirac model provides a comprehensive understanding of the mode selection mechanism and lasing performance, that can guide device optimization.
As the two-dimensional counterpart to the well-established distributed feedback lasers (DFB) and vertical-cavity surface-emitting lasers (VCSEL), TCSEL represents a promising way towards high-performance, single-mode semiconductor lasers. However, the common topological theory is Hermitian and neglects the non-Hermitian properties (gain, loss, and radiation), which are indispensable to lasers. To address this, we developed a comprehensive theoretical framework considering both the Hermitian and non-Hermitian properties based on the Dirac equation through three-dimensional coupled-wave theory (3D CWT).
Our model describes the complex physics of the TCSEL with two fundamental coefficients: the Hermitian mass (m) representing the in-plane optical couplings and the non-Hermitian mass (μ) accounting for the out-of-plane couplings. The mode selection mechanism is primarily determined by the parameter m, achieving stable single-mode lasing for scalable device sizes. The overall lasing properties—including the threshold, efficiency, and the far-field radiation pattern—are determined by the interplay between both m and μ.
As the two-dimensional counterpart to the well-established distributed feedback lasers (DFB) and vertical-cavity surface-emitting lasers (VCSEL), TCSEL represents a promising way towards high-performance, single-mode semiconductor lasers. However, the common topological theory is Hermitian and neglects the non-Hermitian properties (gain, loss, and radiation), which are indispensable to lasers. To address this, we developed a comprehensive theoretical framework considering both the Hermitian and non-Hermitian properties based on the Dirac equation through three-dimensional coupled-wave theory (3D CWT).
Our model describes the complex physics of the TCSEL with two fundamental coefficients: the Hermitian mass (m) representing the in-plane optical couplings and the non-Hermitian mass (μ) accounting for the out-of-plane couplings. The mode selection mechanism is primarily determined by the parameter m, achieving stable single-mode lasing for scalable device sizes. The overall lasing properties—including the threshold, efficiency, and the far-field radiation pattern—are determined by the interplay between both m and μ.
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Presenters
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Zongliang Li
- Chinese Academy of Sciences