• Photonics Research
  • Vol. 9, Issue 6, 1033 (2021)
Ankita Khanolkar1, Yimin Zang1, and Andy Chong1、2、*
Author Affiliations
  • 1Department of Electro-Optics and Photonics, University of Dayton, Dayton, Ohio 45469, USA
  • 2Department of Physics, University of Dayton, Dayton, Ohio 45469, USA
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    DOI: 10.1364/PRJ.419686 Cite this Article
    Ankita Khanolkar, Yimin Zang, Andy Chong. Complex Swift Hohenberg equation dissipative soliton fiber laser[J]. Photonics Research, 2021, 9(6): 1033 Copy Citation Text show less

    Abstract

    Complex Swift Hohenberg equation (CSHE) has attracted intensive research interest over the years, as it enables realistic modeling of mode-locked lasers with saturable absorbers by adding a fourth-order term to the spectral response. Many researchers have reported a variety of numerical solutions of CSHE which reveal interesting pulse patterns and structures. In this work, we have demonstrated a CSHE dissipative soliton fiber laser experimentally using a unique spectral filter with a complicated transmission profile. The behavior and performance of the laser agree qualitatively with the numerical simulations based on CSHE. Our findings bring insight into dissipative soliton dynamics and make our mode-locked laser a powerful testbed for observing dissipative solitons of CSHE, which may open a new course in ultrafast fiber laser research.

    1. INTRODUCTION

    The cubic quintic Ginzberg Landau equation (CQGLE) can undoubtedly be used to describe a vast number of systems such as passively mode-locked lasers with fast saturable absorbers, parametric oscillators, wide aperture lasers, nonlinear optical transmission lines, and nonlinear cavities with the external pump [13]. In the CQGLE model, spectral filter transmission can be described by a quadratic term which leads to a Gaussian response. In the reality, the spectral filtering effect in mode-locked fiber lasers is a combination of gain spectrum and physical spectral filtering element inserted in the cavity, and the gain spectrum can exhibit non-uniform features. Therefore, to represent this condition, it is necessary to include higher-order terms while defining the profile of the spectral filter. The addition of a fourth-order spectral filtering term in the CQGLE model converts it into the complex Swift Hohenberg equation (CSHE).

    Ankita Khanolkar, Yimin Zang, Andy Chong. Complex Swift Hohenberg equation dissipative soliton fiber laser[J]. Photonics Research, 2021, 9(6): 1033
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