Efficient Simulations of Periodic Structures With Oblique Incidence Using Direct Spectral FDTD Method

Zhou, Yijing; Zhou, Xiao-Yun; Cui, Tie-jun; Qiang, Rui; Chen, Ji

doi:10.2528/pierm11012501

Cited by 8 publications

(5 citation statements)

References 18 publications

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“…Some modification of this technique is required to simulate periodic structures for the case of oblique incidence. In this case, the incident field can be written as the signal evolution recorded during a preliminary FDTD simulation [42,43] or a packet of plane waves with fixed in-plane wave vector [44,45]. The last modification is used within the hybrid FDTD transfer matrix method as well [46].…”

Section: A Field-partitioning Approachmentioning

confidence: 99%

Self-interaction-free approaches for self-consistent solution of the Maxwell-Liouville equations

Deinega

Seideman

2014

Phys. Rev. A

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We propose two complementary approaches for solution of the coupled Maxwell-Liouville equations within the finite-difference time domain (FDTD) framework. The two methods are specifically designed to eliminate self-interaction, which often appears spuriously in simulation of the coupled Maxwell-Liouville equations, and hence can be used for modeling of single as well as ensembles of quantum emitters (such as molecules or quantum dots) in an arbitrary dielectric environment. One approach borrows from the familiar total field-scattered field technique that has been applied in the past in a different context. The second recognizes an opportunity to average over the electric field at a set of specifically chosen points around the quantum emitter. The methods introduced are applied to two problems of growing current interest that also present useful test cases. One is the modeling of spontaneous emission, where comparison with an analytical solution illustrates the accuracy and efficiency of the methodology. The second is quantum-emitter-induced transparency in a resonator formed by two gold ellipsoids, where Fano interferences suggest interesting potential applications.

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Section: A Field-partitioning Approachmentioning

confidence: 99%

Self-interaction-free approaches for self-consistent solution of the Maxwell-Liouville equations

Deinega

Seideman

2014

Phys. Rev. A

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“…Our method can be combined with the existing FDTD methods for simulation of periodic structures at the oblique incidence [42][43][44][45][46][47][48][49][50]. For example, the transfer matrix may be calculated as described above for an obliquely incident plane wave, which can be simulated using an iterative technique [42,43].…”

Section: Discussionmentioning

confidence: 99%

Transfer-matrix approach for finite-difference time-domain simulation of periodic structures

2013

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Optical properties of periodic structures can be calculated using the transfer-matrix approach, which establishes a relation between amplitudes of the wave incident on a structure with transmitted or reflected waves. The transfer matrix can be used to obtain transmittance and reflectance spectra of finite periodic structures as well as eigenmodes of infinite structures. Traditionally, calculation of the transfer matrix is performed in the frequency domain and involves linear algebra. In this work, we present a technique for calculation of the transfer matrix using the finite-difference time-domain (FDTD) method and show the way of its implementation in FDTD code. To illustrate the performance of our technique we calculate the transmittance spectra for opal photonic crystal slabs consisting of multiple layers of spherical scatterers. Our technique can be used for photonic band structure calculations. It can also be combined with existing FDTD methods for the analysis of periodic structures at an oblique incidence, as well as for modeling point sources in a periodic environment.

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“…Let us assume a (l x , l y ) periodicity in the (x, y) directions with a z-propagation of an incident wave. Like [10], an arbitrary azimuth angle is chosen to ϕ = ϕ 0 . Then, the horizontal wavenumber depends on the angular frequency ω = 2πf and the elevation angle θ as k h = ω sin θ/c 0 .…”

Section: Spectral Fdtd Reviewmentioning

confidence: 99%

Wideband Simulations of Periodic Structures by the Hybrid Spectral FDTD/TD-VFz Method

Gaucher

Guiffaut

Reineix

et al. 2022

Antennas Wirel. Propag. Lett.

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The Spectral FDTD (SFDTD) method is combined with the discrete-time time-domain vector fitting algorithm (TD-VFz) to analyze 3D periodic structures excited by oblique incident plane waves over a wide frequency band. The time signal reconstruction with TD-VFz produces an untruncated response over an infinite time window allowing an accurate spectral result, specially near the cut-off frequency separating the spectrum propagating wave region of evanescent wave region.

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Efficient Simulations of Periodic Structures With Oblique Incidence Using Direct Spectral FDTD Method

Cited by 8 publications

References 18 publications

Self-interaction-free approaches for self-consistent solution of the Maxwell-Liouville equations

Self-interaction-free approaches for self-consistent solution of the Maxwell-Liouville equations

Transfer-matrix approach for finite-difference time-domain simulation of periodic structures

Wideband Simulations of Periodic Structures by the Hybrid Spectral FDTD/TD-VFz Method

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