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Vectorial eigenmode calculation for anisotropic planar optical waveguides

Vectorial eigenmode calculation for anisotropic planar optical waveguides

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A newly derived spurious-mode-free finite-difference-method for computing the eigenmodes of anisotropic planar optical waveguides is presented. For solving the linear eigensystem, a powerful multi-grid-method is used. An application of the method is given.

References

    1. 1)
      • W. Hackbusch . (1985) Multi-grid methods and applications.
    2. 2)
      • P. Lüsse , P. Stuwe , J. Schüle , H.-G. Unger . Analysis of vectorial mode fields in optical waveguides by a new finitedifference method. J. Lightwave Technol. , 487 - 494
    3. 3)
      • W.J. Stewart , A. Jennings . A simultaneous iteration algorithm for real matrices. ACM Trans. Math. Softw. , 184 - 198
    4. 4)
      • K. Ramm , P. Lüsse , P. Stuwe . Ein Mehrgitterprogramm zu Lösung des Eigenwertproblems fürein elliptisches System verkoppelter Differentialgleichungen. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) , 701 - 702
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