Abstract
This paper presents an analytical methodology for analysing two-dimensional, dielectric slab waveguides where the guiding region is subject to abrupt and arbitrary temporal changes in permittivity. The methodology solves Maxwell’s equations in the frequency domain and recovers the solutions for the guided and radiation fields in the time domain using the Laplace transformation (LT). Explicit separation of the complete field solution into a set of guided modes and a radiation field continuum provides a clearer insight into the transient effects present in time-varying dielectric waveguides. In particular, the method is used to assess and quantify the impact of coherent radiation field coupling for arbitrary time variation of the waveguide permittivity.
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Bekker, E.V., Vukovic, A., Sewell, P. et al. An assessment of coherent coupling through radiation fields in time varying slab waveguides. Opt Quant Electron 39, 533–551 (2007). https://doi.org/10.1007/s11082-007-9104-6
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DOI: https://doi.org/10.1007/s11082-007-9104-6