Abstract

The recently developed Lorentz Oscillator Model-inspired Oscillator Finite-Difference Time-Domain (O-FDTD) is one of the simplest FDTD models ever proposed, using a single field equation for electric field propagation. We demonstrate its versatility on various scales and benchmark its simulation performance against theory, conventional FDTD simulations, and experimental observations. The model’s broad applicability is demonstrated for (but not limited to) three contrasting realms: integrated photonics components on the nano- and micrometer scale, city-wide propagating radiofrequency signals reaching into the hundreds of meters scale, and for the first time, in support of 3D optical waveguide design that may play a key role in neuromorphic photonic computational devices.

Highlights

  • Photonic simulation algorithms are crucial tools to understand, engineer, and optimize the optical properties of photonic structures in myriad applications

  • We aim to push the boundaries of conventional photonic simulations and explore Oscillator Finite-Difference TimeDomain (O-Finite-Difference Time-Domain (FDTD))’s applicability to complex, largescale systems in the RF range by simulating a Long Range (LoRa) network coverage in a cityscape environment [4]

  • We demonstrate O-FDTD’s broad applicability to photonic structures and wavelength ranges by showcasing examples from planar integrated circuit building blocks (3.1) to RF signals propagating in urban environments (3.2)

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Summary

Introduction

Photonic simulation algorithms are crucial tools to understand, engineer, and optimize the optical properties of photonic structures in myriad applications. Discrete time-domain electrodynamic simulation models include Finite-Difference Time-Domain (FDTD), Finite-Element Time-Domain (FETD), Discontinuous Galerkin TimeDomain (DGTD), among others [1], most of them either solving or applying Maxwell’s field equations over time. Novel system-specific or more efficient methods are developed continuously [2]. We use the new, simplified approach for dielectric and semiconductor materials, called Oscillator Finite-Difference TimeDomain (O-FDTD) [3]. The approach considers a mesh of coupled oscillators that allow electric field waves to propagate through space and matter. We aim to demonstrate its applicability versatility, ranging from planar photonic micro and nanostructures to RF signal coverage in cityscape environments [4]

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