Optical and Quantum Electronics

, Volume 46, Issue 3, pp 477–490 | Cite as

Semi-guided plane wave reflection by thin-film transitions for angled incidence

  • Fehmi Çivitci
  • Manfred Hammer
  • Hugo J. W. M. Hoekstra


The non-normal incidence of semi-guided plane waves on step-like or tapered transitions between thin film regions with different thicknesses, an early problem of integrated optics, is being reconsidered. As a step beyond the common effective index picture, we compare two approaches on how this problem can be tackled—at least approximately—by nowadays readily available simulation tools for integrated optics design. Accepting the scalar approximation, using an ansatz of harmonic field dependence on the position along the interface, the 3-D problem reduces to a 2-D Helmholtz problem, for guided wave input and transparent-influx boundary conditions, with an effective permittivity that depends on the incidence angle. Alternatively, one complements the structure with a second mirrored interface, such that the 2-D cross section of a wide multimode rib waveguide emerges. Constraints for transverse resonance then permit to translate the propagation constants of its polarized modes into discrete samples of the phase changes experienced by an in-plane guided wave upon total internal reflection at the sidewalls.


Integrated optics Slab waveguides Thin-film transitions  Numerical/analytical modeling 



This research is supported by the Dutch Technology Foundation STW (project 10051). The authors thank R. Stoffer and M. Maksimovic for many fruitful discussions.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Fehmi Çivitci
    • 1
  • Manfred Hammer
    • 1
  • Hugo J. W. M. Hoekstra
    • 1
  1. 1.MESA+ Institute for NanotechnologyUniversity of TwenteEnschedeThe Netherlands

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