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Efficient Bloch mode calculation of periodic systems with arbitrary geometry and open boundary conditions in the complex wavevector domain

From National Research Council Canada

DOIResolve DOI: https://doi.org/10.1364/OE.432985
AuthorSearch for: 1ORCID identifier: https://orcid.org/0000-0003-2151-2438; Search for: 1ORCID identifier: https://orcid.org/0000-0002-3427-0186; Search for: 2; Search for: 2; Search for: 1ORCID identifier: https://orcid.org/0000-0003-0522-0187; Search for: 1ORCID identifier: https://orcid.org/0000-0003-4232-9130; Search for: 1; Search for: 1; Search for: 1ORCID identifier: https://orcid.org/0000-0002-0490-5224
Affiliation
  1. National Research Council of Canada. Advanced Electronics and Photonics
  2. National Research Council of Canada. Digital Technologies
FormatText, Article
Abstract
We show how existing iterative methods can be used to efficiently and accurately calculate Bloch periodic solutions of Maxwell’s equations in arbitrary geometries. This is carried out in the complex-wavevector domain using a commercial frequency-domain finite-element solver that is available to the general user. The method is capable of dealing with leaky Bloch mode solutions, and is extremely efficient even for 3D geometries with non-trivial material distributions. We perform independent finite-difference time-domain simulations of Maxwell’s equations to confirm our results. This comparison demonstrates that the iterative mode finder is more accurate, since it provides the true solutions in the complex-wavevector domain and removes the need for additional signal processing and fitting. Due to its efficiency, generality and reliability, this technique is well suited for complex and novel design tasks in integrated photonics, and also for a wider range of photonics problems.
Publication date
PublisherOSA
In
  • Optics Express 29, no. 16 (31 July 2021): 26233–26243.
LanguageEnglish
Peer reviewedYes
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Record identifier17b33eb1-02f4-402f-b093-1a9d04175612
Record created2021-09-10
Record modified2021-09-14
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