Theory of the spatial structure of non-linear lasing modes

Abstract

A self-consistent integral equation is formulated and solved iteratively which determines the steady-state lasing modes of open multi-mode lasers. These modes are naturally decomposed in terms of frequency dependent biorthogonal modes of a linear wave equation and not in terms of resonances of the cold cavity. A one-dimensional cavity laser is analyzed and the lasing mode is found to have non-trivial spatial structure even in the single-mode limit. In the multi-mode regime spatial hole-burning and mode competition is treated exactly. The formalism generalizes to complex, chaotic and random laser media.

4 pages, 3 figures

References in corpus (3)

• High-Power Directional Emission from Microlasers with Chaotic Resonators
• Waves in Open Systems: Eigenfunction Expansions
• Self-consistent multi-mode lasing theory for complex or random lasing media

Cited by in corpus (38)

• Topological Photonics
• Topological Photonics
• Strong Interactions in Multimode Random Lasers
• Supporting Online Material for "Strong Interactions in Multimode Random Lasers"
• Steady-state Ab Initio Laser Theory: Generalizations and Analytic Results
• Pump-Controlled Directional Light Emission from Random Lasers
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Nonlinear modal interactions in parity-time ($\mathcal{P}\mathcal{T}$) symmetric lasers
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Ray-wave correspondence in limacon-shaped semiconductor microcavities
• Recent developments in the theory of multimode random lasers
• Supersymetric laser arrays
• Suppression of Interactions in Multimode Random Lasers in the Anderson Localized Regime
• Statistical studies of random lasing modes and amplified spontaneous emission spikes in weakly scattering systems
• Quantitative Verification of Ab Initio Self-consistent Laser Theory
• Effect of local pumping on random laser modes
• Steady-State Ab Initio Laser Theory for N-level Lasers
• Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities
• General linewidth formula for steady-state multimode lasing in arbitrary cavities
• Steady-state ab initio laser theory for complex gain media
• Ultra-low Threshold Titanium doped sapphire Whispering-gallery Laser
• Exceptional points as lasing pre-thresholds in open-cavity lasers
• An insight into polarization states of solid-state organic lasers
• Steady state Ab-initio Theory of Lasers with Injected Signals
• Multimode Lasing in Wave-Chaotic Semiconductor Microlasers
• Interaction-induced mode switching in steady-state microlasers
• Bistability and mode interaction in microlasers
• Why the laser linewidth is so narrow: A modern perspective
• Gain-tunable optomechanical cooling in a laser cavity
• Lorenz-Mie theory for 2D scattering and resonance calculations
• Diagrammatic semiclassical laser theory
• An efficient Fredholm method for calculation of highly excited states of billiards
• Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power
• Generalized Sub-Schawlow-Townes Laser Linewidths Via Material Dispersion
• Condensation of Thresholds in Multimode Microlasers
• Ab-initio theory of quantum fluctuations and relaxation oscillations in multimode lasers
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Modes of Random Lasers