Numerical solutions to the Laser Rate Equations with noise:  technical issues, implementation and pitfalls

G. L. Lippi; J. Mørk; G. P. Puccioni

doi:10.1117/12.2305948

4 May 2018 Numerical solutions to the Laser Rate Equations with noise: technical issues, implementation and pitfalls

G. L. Lippi, J. Mørk, G. P. Puccioni

Proceedings Volume 10672, Nanophotonics VII; 106722B (2018) https://doi.org/10.1117/12.2305948
Event: SPIE Photonics Europe, 2018, Strasbourg, France

Abstract

The stochastic implementation of the laser rate equations is discussed in detail, in light of its application to numerically predict the properties of nanolasers. The deterministic integration scheme is analysed and tested for appropriateness to the problem. The simplest stochastic, first-order scheme is considered and its particular properties and requirements are discussed. Tests for the correctness of the numerical integration are presented. Finally, thorough tests for the convergence of the stochastic integration are performed, showing their different aspects and possible pitfalls.

Citation Download Citation

G. L. Lippi, J. Mørk, and G. P. Puccioni "Numerical solutions to the Laser Rate Equations with noise: technical issues, implementation and pitfalls", Proc. SPIE 10672, Nanophotonics VII, 106722B (4 May 2018); https://doi.org/10.1117/12.2305948

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available