Implementation of the iterative finite-difference time-domain technique for simulation of periodic structures at oblique incidence

Valuev, Ilya; Deinega, Alexei; Belousov, Sergei

doi:10.1016/j.cpc.2014.01.001

Cited by 7 publications

(3 citation statements)

References 39 publications

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“…Oblique incidence of a plane wave on the structure is modeled by the iterative FDTD algorithm. 46,47 The experimental data on the silicon dielectric permittivity is taken from Ref. 48.…”

Section: Methods Of Simulationmentioning

confidence: 99%

Solar light trapping in slanted conical-pore photonic crystals: Beyond statistical ray trapping

Eyderman

John

Deinega

2013

Journal of Applied Physics

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We demonstrate that with only 1 lm, equivalent bulk thickness, of crystalline silicon, sculpted into the form of a slanted conical-pore photonic crystal and placed on a silver back-reflector, it is possible to attain a maximum achievable photocurrent density (MAPD) of 35.5 mA/cm 2 from impinging sunlight. This corresponds to absorbing roughly 85% of all available sunlight in the wavelength range of 300-1100 nm and exceeds the limits suggested by previous "statistical ray trapping" arguments. Given the AM 1.5 solar spectrum and the intrinsic absorption characteristics of silicon, the optimum carrier generation occurs for a photonic crystal square lattice constant of 850 nm and slightly overlapping inverted cones with upper (base) radius of 500 nm. This provides a graded refractive index profile with good anti-reflection behavior. Light trapping is enhanced by tilting each inverted cone such that one side of each cone is tangent to the plane defining the side of the elementary cell. When the solar cell is packaged with silica (each pore filled with SiO 2), the MAPD in the wavelength range of 400-1100 nm becomes 32.6 mA/cm 2 still higher than the Lambertian 4n 2 benchmark of 31.2 mA/cm 2. In the near infrared regime from 800 to 1100 nm, our structure traps and absorbs light within slow group velocity modes, which propagate nearly parallel to the solar cell interface and exhibit localized high intensity vortex-like flow in the Poynting vector-field. In this near infrared range, our partial MAPD is 10.9 mA/cm 2 compared to a partial MAPD of 7 mA/cm 2 based on "4n 2 statistical ray trapping." These results suggest silicon solar cell efficiencies exceeding 20% with just 1 lm of silicon. V

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“…Oblique incidence of a plane wave on the structure is modeled by the iterative FDTD algorithm. 46,47 The experimental data on the silicon dielectric permittivity is taken from Ref. 48.…”

Section: Methods Of Simulationmentioning

confidence: 99%

Solar light trapping in slanted conical-pore photonic crystals: Beyond statistical ray trapping

Eyderman

John

Deinega

2013

Journal of Applied Physics

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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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“…Although a large amount of references are available for such techniques in the FDTD framework (see [17] and references therein), for the DGTD method the literature remains very shallow. To the best knowledge of the authors, the only methodological contribution on this topic is from Miller et al [11], although the method has been exploited afterwards [19].…”

Section: Introductionmentioning

confidence: 99%

Simulating 3D periodic structures at oblique incidences with discontinuous Galerkin time-domain methods: theoretical and practical considerations

Viquerat

Schmitt

Scheid³

2019

The SMAI Journal of Computational Mathematics

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In this work, we focus on the development of the use of Periodic Boundary Conditions (PBC) with sources at oblique incidence in a nanophotonics context. In particular, we concentrate on the field transform technique used for time dependent electromagnetic wave propagation problems. We especially supplement the existing references with an analysis of the continuous model equations. Furthermore, we propose to use a Discontinuous Galerkin Time Domain (DGTD) discrete framework and study stability issues. In order to consider realistic test cases, we also provide additional details about sources, observables (reflectance, transmittance and diffraction efficiency), and the use of Complex Frequency-Shifted Perfectly-Matched Layers (CFS-PMLs). Finally, after academic numerical validations, two engineering relevant test cases are considered in the precise physical context of nanophotonics with the Diogenes DGTD solver (http://diogenes.inria.fr).2010 Mathematics Subject Classification. 35Q61, 65M60, 65M12.

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Implementation of the iterative finite-difference time-domain technique for simulation of periodic structures at oblique incidence

Cited by 7 publications

References 39 publications

Solar light trapping in slanted conical-pore photonic crystals: Beyond statistical ray trapping

Solar light trapping in slanted conical-pore photonic crystals: Beyond statistical ray trapping

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

Simulating 3D periodic structures at oblique incidences with discontinuous Galerkin time-domain methods: theoretical and practical considerations

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