Analysis of the external filtered modes of a semiconductor laser with filtered optical feedback

K Green, B Krauskopf

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We present a detailed analysis of the external filter mode (EFM) structure of a semiconductor laser subject to filtered optical feedback (FOF). These EFMs form the ‘backbone’ of the dynamics of the system. Specifically, from the governing delay differential equations, we find analytic, transcendental expressions for both the solution curves, which define the frequency and amplitude of the EFMs, and their envelopes. We use numerical continuation to find and follow solutions of these equations. This approach allows us to show how the structure depends on the key parameters of filter width, filter detuning, and feedback phase. In other words, we identify the external influence of the filter on an otherwise fixed laser
Original languageEnglish
Publication statusAccepted/In press - Mar 2006

Bibliographical note

Additional information: Preprint of a paper to be presented at Photonics Europe 2006, 3-7 April 2006, Strasbourg, France. Conference organised by SPIE Europe.

Terms of use: Copyright 2006 Society of Photo-Optical Instrumentation Engineers. This paper will be published in Photonics Europe 2006: Semiconductor Lasers and Laser Dynamics II (Vol. 6184 Printed proceedings of SPIE) and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.


  • external filtered modes (EFM)
  • semiconductor lasers
  • EFM components
  • filtered optical feedback (FOF)

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