Based on a rate equation model for single-mode two-level lasers, two algorithms for stochastically simulating the dynamics and steady-state behaviour of micro- and nanolasers are described in detail. Both methods lead to steady-state photon numbers and statistics characteristic of lasers, but one of the algorithms is shown to be significantly more efficient. This algorithm, known as Gillespie's first reaction method (FRM), gives up to a thousandfold reduction in computation time compared to earlier algorithms, while also circumventing numerical issues regarding time-increment size and ordering of events. The FRM is used to examine intra-cavity photon distributions, and it is found that the numerical results follow the analytics exactly. Finally, the FRM is applied to a set of slightly altered rate equations, and it is shown that both the analytical and numerical results exhibit features that are typically associated with the presence of strong inter-emitter correlations in nanolasers.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1364/OE.405979 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Influence of rheumatoid arthritis on peri-implant diseases: A longitudinal retrospective clinical and radiographic evaluation.
J Periodontol
January 2025
Department of Periodontics and Oral Medicine, School of Dentistry, University of Michigan, Ann Arbor, Michigan, USA.
Background: To investigate the effect of rheumatoid arthritis (RA) on the incidence of peri-implantitis (PI) and peri-implant mucositis (PIM).
Methods: Radiographic and clinical chart reviews were conducted to measure the probing depth (PD), bleeding on probing, and marginal bone loss (MBL) around the implants to diagnose peri-implant diseases based on the 2017 workshop classification. Values were recorded at the baseline (T0) to the last available chart and radiograph (T1).
Continuous-flow phosphate removal using Cry-Ca-COS Monolith: Insights from dynamic adsorption modeling.
Water Res X
May 2025
Integrated Science and Technology Research Center, Faculty of Technology and Environment, Prince of Songkla University, Phuket Campus, Kathu, Phuket 83120 Thailand.
This study rigorously evaluates the adsorption performance of the Cry-Ca-COS monolith for phosphate removal in a column operation mode. Characterization of the material both before and after exhaustion in a continuous flow system (column form) showed no difference compared to results from a batch system (tablet form). The XPS results indicated that the adsorption mechanism of phosphate on the Cry-Ca-COS column involved surface microprecipitation and ligand exchange (inner-sphere complexation).
View Article and Find Full Text PDFIdentification of Two-Dimensional Interlayer Excitons and Their Valley Polarization in MoSe/WSe Heterostructure with -BN Spacer Layer.
ACS Nano
January 2025
Institute of Advanced Energy, Kyoto University, Uji, Kyoto 611-0011, Japan.
Interlayer excitons (IXs) in the heterostructure of monolayer transition metal dichalcogenides (TMDs) are considered as a promising platform to study fundamental exciton physics and for potential applications of next generation optoelectronic devices. The IXs trapped in the moiré potential in a twisted monolayer TMD heterostructure such as MoSe/WSe form zero-dimensional (0D) moiré excitons. Introducing an atomically thin insulating layer between TMD monolayers in a twisted heterostructure would modulate the moiré potential landscape, thereby tuning 0D IXs into 2D IXs.
View Article and Find Full Text PDFA note on using random starting values in small sample SEM.
Behav Res Methods
January 2025
Department of Data Analysis, Ghent University, Henri Dunantlaan 1, 9000, Ghent, Belgium.
Model estimation for SEM analyses in commonly used software typically involves iterative optimization procedures, which can lead to nonconvergence issues. In this paper, we propose using random starting values as an alternative to the current default strategies. By drawing from uniform distributions within data-driven lower and upper bounds (see De Jonckere et al.
View Article and Find Full Text PDFCompartmental Models Driven by Renewal Processes: Survival Analysis and Applications to SVIS Epidemic Models.
Sci Rep
January 2025
Department of Biostatistics, Data Science and Epidemiology, School of Public Health, Augusta University, 1120, 15th Street, Augusta, GA, 30912, USA.
Compartmental models with exponentially distributed lifetime stages assume a constant hazard rate, limiting their scope. This study develops a theoretical framework for systems with general lifetime distributions, modeled as transition rates in a renewal process. Applications are provided for the SVIS (Susceptible-Vaccinated-Infected-Susceptible) disease epidemic model to investigate the impacts of hazard rate functions (HRFs) on disease control.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!