Lang and Kobayashi phase equation and its validity for low pump

Thomas Erneux; Paul M. Alsing; Vassilios Kovanis; Athanasios Gavrielides

doi:10.1117/12.239005

1 May 1996 Lang and Kobayashi phase equation and its validity for low pump

Thomas Erneux, Paul M. Alsing, Vassilios Kovanis, Athanasios Gavrielides

Proceedings Volume 2693, Physics and Simulation of Optoelectronic Devices IV; (1996) https://doi.org/10.1117/12.239005
Event: Photonics West '96, 1996, San Jose, CA, United States

Abstract

An asymptotic theory of Lang and Kobayashi (LK) equations describing a semiconductor laser subject to optical feedback is investigated in detail. We obtain a simple third order, nonlinear, delay-differential equation for the phase of the laser field which admits multiple branches of time-periodic intensity solutions. The theory is based on typical values of LK dimensionless parameters and assumes that the pump parameter is not too small. In this paper, we examine the validity of this assumption by considering the small pump limit. We find the same phase equation as the leading problem of our asymptotic analysis but now with a stronger damping coefficient. This phase equation fails as a correct asymptotic approximation only for very low pump, close to the lasing threshold. The approximation for this case is more complicated and reveals a stronger influence of the laser intensity.

Citation Download Citation

Thomas Erneux, Paul M. Alsing, Vassilios Kovanis, and Athanasios Gavrielides "Lang and Kobayashi phase equation and its validity for low pump", Proc. SPIE 2693, Physics and Simulation of Optoelectronic Devices IV, (1 May 1996); https://doi.org/10.1117/12.239005

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