Modeling cavities exhibiting strong lateral confinement using open geometry Fourier modal method

Teppo Häyrynen; Niels Gregersen

doi:10.1117/12.2227117

29 April 2016 Modeling cavities exhibiting strong lateral confinement using open geometry Fourier modal method

Teppo Häyrynen, Niels Gregersen

Proceedings Volume 9900, Quantum Optics; 990017 (2016) https://doi.org/10.1117/12.2227117
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

Abstract

We have developed a computationally eﬃcient Fourier-Bessel expansion based open geometry formalism for modeling the optical properties of rotationally symmetric photonic nanostructures. The lateral computation domain is assumed inﬁnite so that no artiﬁcial boundary conditions are needed. Instead, the leakage of the modes due to an imperfect ﬁeld conﬁnement is taken into account by using a basis functions that expand the whole inﬁnite space. The computational eﬃciency is obtained by using a non-uniform discretization in the frequency space in which the lateral expansion modes are more densely sampled around a geometry speciﬁc dominant transverse wavenumber region. We will use the developed approach to investigate the Q factor and mode conﬁnement in cavities where top DBR mirror has small rectangular defect conﬁning the modes laterally on the defect region.

Citation Download Citation

Teppo Häyrynen and Niels Gregersen "Modeling cavities exhibiting strong lateral confinement using open geometry Fourier modal method", Proc. SPIE 9900, Quantum Optics, 990017 (29 April 2016); https://doi.org/10.1117/12.2227117

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