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4 - Vector OPA theory

Published online by Cambridge University Press:  23 March 2010

Michel E. Marhic
Michel E. Marhic
Affiliation:
University of Wales, Swansea
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Summary

Introduction

In Chapter 3 we derived optical parametric amplifier (OPA) equations under the assumption that all four waves involved were in the same state of linear polarization along the fiber length. This led to a relatively simple set of four scalar equations. By solving these equations we then obtained a set of solutions that can provide a good preliminary understanding of the performance of fiber OPAs.

In this chapter we enlarge the class of OPAs by considering more general possibilities for the SOPs of the waves. We begin by developing a vector formalism for light propagating in arbitrary SOPs in isotropic fibers. We apply it to circularly polarized (CP) and linearly polarized (LP) waves; since some of the waves may have identical or orthogonal SOPs, this leads to a class of 12 basic types of OPA. We then turn to fibers with constant birefringence, such as polarization-maintaining fibers (PMFs), and explore the impact of the birefringence on the gain spectrum. Finally we consider the typical case of fibers that have weak birefringence with random longitudinal variations, and we investigate the effect of these variations.

Isotropic fibers

The treatment here follows the general approach introduced in [1].

Classification of basic OPA types

We make the following basic assumptions. (i) The fiber is lossless. (ii) The fiber does not exhibit birefringence, either linear or circular. (iii) The fiber operates in the fundamental mode at all frequencies.

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Fiber Optical Parametric Amplifiers, Oscillators and Related Devices , pp. 78 - 109
Publisher: Cambridge University Press
Print publication year: 2007

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References

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  • Vector OPA theory
  • Michel E. Marhic, University of Wales, Swansea
  • Book: Fiber Optical Parametric Amplifiers, Oscillators and Related Devices
  • Online publication: 23 March 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600265.004
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  • Vector OPA theory
  • Michel E. Marhic, University of Wales, Swansea
  • Book: Fiber Optical Parametric Amplifiers, Oscillators and Related Devices
  • Online publication: 23 March 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600265.004
Available formats
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  • Vector OPA theory
  • Michel E. Marhic, University of Wales, Swansea
  • Book: Fiber Optical Parametric Amplifiers, Oscillators and Related Devices
  • Online publication: 23 March 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511600265.004
Available formats
×