Numerical analysis of the mode competition in high-gain unstable resonators using the exact cavity equations of motion with dynamic gain

Manuel Guizar-Sicairos; Julio Cesar Gutierrez-Vega

doi:10.1117/12.573831

26 January 2005 Numerical analysis of the mode competition in high-gain unstable resonators using the exact cavity equations of motion with dynamic gain

Manuel Guizar-Sicairos, Julio Cesar Gutierrez-Vega

Author Affiliations +

Proceedings Volume 5627, High-Power Lasers and Applications III; (2005) https://doi.org/10.1117/12.573831
Event: Photonics Asia, 2004, Beijing, China

Abstract

The dynamic coupled modes (DCM) method has been applied to study the transverse mode competition in optical resonators. In this work a differential equation for the homogeneously saturating dynamic gain is included in the original dynamic coupled modes method, thus increasing its physical resemblance and allowing the retrieval of gain temporal evolution at every point within the lasing medium. This new model provides a realistic temporal evolution of the mode competition and gain saturation within the resonator, which can give further information of spatial coherence properties. The temporal information becomes particularly valuable when the laser transient is a matter of interest or when a continuous wave steady output is never reached, as occurs in pulsed lasers. Additionally, transverse spatial hole burning and inhomogeneous line broadening is straightforwardly included in the gain model. The application of the method to a typical CO₂ unstable confocal resonator is fully described, results and their connection to relevant physical properties of gas lasers, such as spiking and relaxation oscillations are discussed. Results of the numerical implementation of the DCM method with dynamic gain are in very good agreement with experimental measurements reported previously.

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Manuel Guizar-Sicairos and Julio Cesar Gutierrez-Vega "Numerical analysis of the mode competition in high-gain unstable resonators using the exact cavity equations of motion with dynamic gain", Proc. SPIE 5627, High-Power Lasers and Applications III, (26 January 2005); https://doi.org/10.1117/12.573831

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KEYWORDS

Resonators

Gas lasers

Mirrors

Carbon monoxide

Laser resonators

Output couplers

Hole burning spectroscopy

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