2010
DOI: 10.1016/j.cpc.2009.11.008
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Abstract: This paper describes Meep, a popular free implementation of the finite-difference time-domain (FDTD) method for simulating electromagnetism. In particular, we focus on aspects of implementing a full-featured FDTD package that go beyond standard textbook descriptions of the algorithm, or ways in which Meep differs from typical FDTD implementations. These include pervasive interpolation and accurate modeling of subpixel features, advanced signal processing, support for nonlinear materials via Padé approximants, … Show more

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Cited by 2,269 publications
(1,407 citation statements)
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References 53 publications
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“…This judicious engineering of the GPH resonator therefore allows both selective excitation of the radiative mode-which is never the natural lasing mode in a photonic resonator-and engineering of the output power efficiency. This qualitative analysis is supported by numerical simulations performed within a finite-difference time-domain (FDTD) approach 26 . Figure 2c,d,e shows the transverse magnetic field component (H y ) along the cross-section of a device for the first two confined radiative modes, as well as the first delocalized nonradiative mode.…”
Section: Gph Resonators and Absorbing Boundariesmentioning
confidence: 89%
See 1 more Smart Citation
“…This judicious engineering of the GPH resonator therefore allows both selective excitation of the radiative mode-which is never the natural lasing mode in a photonic resonator-and engineering of the output power efficiency. This qualitative analysis is supported by numerical simulations performed within a finite-difference time-domain (FDTD) approach 26 . Figure 2c,d,e shows the transverse magnetic field component (H y ) along the cross-section of a device for the first two confined radiative modes, as well as the first delocalized nonradiative mode.…”
Section: Gph Resonators and Absorbing Boundariesmentioning
confidence: 89%
“…The photonic band structures of standard second-order DFB lasers were calculated by solving the 3D Helmholtz equation with Bloch periodic boundary conditions, using the commercial software Comsol Multiphysics. The quality factors of DFB and GPH lasers with finite ridge length were calculated by FDTD simulations, using the freely available package MEEP 26 . We performed two-dimensional FDTD simulations, considering an infinitely wide waveguide with absorbing boundary conditions.…”
Section: Methodsmentioning
confidence: 99%
“…Therefore, the possible generated nonlinear polarizations at the SH frequencies inside the GaAs nano-resonators are , 2 ∝ 2 (2) , , 2 ∝ 2 (2) and , 2 ∝ 2 (2) . We performed our nonlinear simulation using a freely available finite difference time-domain software package 39 and the details can be found in Supporting Information (Section 4). Although for an x-axis polarized and normally incident pump, and are the main components of the fundamental field inside the resonators (see Supporting Information, Section 5), we performed our simulation considering the contributions of all three electric field components for higher accuracy.…”
Section: Resonantly Enhanced Shg In Gaas Resonatorsmentioning
confidence: 99%
“…5, the absorption efficiency obtained using B-CALM closely matches the analytical value obtained by Mie theory, with a relative error smaller than 5% over the entire simulated spectrum. The simulation speed is 1.82 × 10 10 cells/min for a six-pole dispersion model on a single NVIDIA C-2075 GPU, which is 50 times faster than with Meep [14] on a Quad Core Intel(R) Xeon(R) CPU X5650 processor.…”
Section: Resultsmentioning
confidence: 99%
“…As an example, we use B-CALM to simulate the absorption cross-section of a gold nanosphere and compare the results with Mie theory. Compared with Mie theory, we obtain an error of less than 5% on a broad spectral range and a 50-fold speedup per card compared to Meep [14], a widely used CPU-based FDTD simulator. In addition, the speed-up is almost linear with respect to the number of cards when the simulation space is large enough.…”
Section: Introductionmentioning
confidence: 88%