Finite-difference complex-wavevector band structure solver for analysis and design of periodic radiative microphotonic structures

Optics Letters
Jelena Notaros, Miloš A Popović

Abstract

We demonstrate a finite-difference approach to complex-wavevector band structure simulation and its use as a tool for the analysis and design of periodic leaky-wave photonic devices. With the (usually real) operating frequency and unit-cell refractive index distribution as inputs, the eigenvalue problem yields the complex-wavevector eigenvalues and Bloch modes of the simulated structure. In a two-dimensional implementation for transverse-electric fields with radiation accounted for by perfectly matched layer boundaries, we validate the method and demonstrate its use in simulating the complex-wavevector band structures and modal properties of a silicon photonic crystal waveguide, an array-antenna-inspired grating coupler with unidirectional radiation, and a recently demonstrated low-loss Bloch-mode-based waveguide crossing array. Additionally, we show the first direct solution of the recently proposed open-system low-loss Bloch modes. We expect this method to be a valuable tool in photonics design, enabling the rigorous analysis and synthesis of advanced periodic and quasi-periodic photonic devices.

References

Dec 21, 2004·Optics Letters·Dirk TaillaertRoel Baets
Jan 22, 2007·Optics Express·Y Ding, R Magnusson
Oct 15, 2011·Optics Express·Chris FietzGennady Shvets
Jun 21, 2012·Optics Express·Jason S OrcuttVladimir Stojanović
Jan 11, 2013·Nature·Jie SunMichael R Watts

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Citations

Dec 14, 2017·Scientific Reports·Nathan DostartMiloš A Popović

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