Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides

Shibayama, Jun; Takahashi, Ryo; Yamauchi, Junji; Nakano, Hisamatsu

doi:10.1109/lpt.2008.921830

Cited by 23 publications

(12 citation statements)

References 20 publications

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“…As previously alluded to, FDTD has been widely used to study plasmonic structures [4]- [6], [20]- [22]. In this work, we develop broadband-accurate FDTD modeling of plasmonic polymer BHJ solar cells.…”

Section: Fdtd Modelingmentioning

confidence: 99%

Broadband Finite‐Difference Time‐Domain Modeling of Plasmonic Organic Photovoltaics

et al. 2014

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We develop accurate finite-difference time-domain (FDTD) modeling of polymer bulk heterojunction solar cells containing Ag nanoparticles between the holetransporting layer and the transparent conducting oxidecoated glass substrate in the wavelength range of 300 nm to 800 nm. The Drude dispersion modeling technique is used to model the frequency dispersion behavior of Ag nanoparticles, the hole-transporting layer, and indium tin oxide. The perfectly matched layer boundary condition is used for the top and bottom regions of the computational domain, and the periodic boundary condition is used for the lateral regions of the same domain. The developed FDTD modeling is employed to investigate the effect of geometrical parameters of Ag nanospheres on electromagnetic fields in devices. Although negative plasmonic effects are observed in the considered device, absorption enhancement can be achieved when favorable geometrical parameters are obtained. Keywords: FDTD, organic photovoltaics, plasmonics.Manuscript received Aug. 6, 2013; revised Nov. 27, 2013; accepted Dec. 16, 2013 [17] has been widely employed because of its accuracy, robustness, and matrix-free characteristics. Moreover, a single FDTD simulation can compute a wideband response by using a Fourier transform, since it is a time-domain method. In FDTD, the frequency-dependent permittivity of materials in plasmonic OPVs should be incorporated by an appropriate dispersion model. However, the previous FDTD analyses have not considered dispersive properties of OPV materials due to the difficulty involved in doing so. In fact, because the real part of the relative permittivity of Ag is negative, a dispersive FDTD algorithm should be applied to Ag so that the resulting FDTD algorithm does not suffer from instability. dispersive FDTD for Ag and a non-dispersive FDTD for other OPV materials (with the corresponding permittivity and conductivity at a specific wavelength), which leads to overwhelming computational costs. Therefore, it is of great interest to develop accurate FDTD dispersive modeling for the optical analysis of plasmonic OPVs. In this work, we develop -based on the Drude dispersion model -FDTD dispersive modeling for plasmonic OPVs. The perfectly matched layer (PML) [18]-[19] and the periodic boundary condition (PBC) [14] are used for the termination and lateral regions of the computational domain, respectively. We also employ the proposed FDTD algorithm to investigate the effect of the geometrical parameters of Ag nanospheres on electromagnetic fields in the photoactive layer. It is worth noting that the purpose of this paper is to develop FDTD dispersive modeling suitable for plasmonic OPVs, not to optimize plasmonic OPVs for improved performance. II. FDTD ModelingWe consider polymer:fullerene bulk heterojunction (BHJ) solar cells. For the plasmonic structure, the self-assembled Ag nanospheres are formed between the indium tin oxide (ITO)-coated glass substrate and the poly(3, 4-ethylene dioxythiophene) polystyrene sulfonate (PEDOT:PSS) -the latter ac...

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Section: Fdtd Modelingmentioning

confidence: 99%

Broadband Finite‐Difference Time‐Domain Modeling of Plasmonic Organic Photovoltaics

et al. 2014

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“…The finite-difference time domain (FDTD) method (Oh et al, 2013;Taflove & Hagness, 2005) has been widely used to analyze wave propagation in dispersive media, including ferromagnetic media (Jung et al, 2006(Jung et al, , 2011, plasmonic structures Shibayama et al, 2008), and metamaterials (Zhao et al, 2007), due to its simplicity, robustness, and accuracy. Drude, Debye, and Lorentz dispersion models are popular for FDTD dispersive modeling.…”

Section: Introductionmentioning

confidence: 99%

On the Numerical Stability of Finite-Difference Time-Domain for Wave Propagation in Dispersive Media Using Quadratic Complex Rational Function

Cho

Park

et al. 2014

Electromagnetics

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Recently, based on a quadratic complex rational function, a simple and accurate finite-difference time-domain algorithm was introduced for the study of electromagnetic wave propagation in dispersive media. It is of great necessity to investigate the numerical stability of the quadratic complex rational function-finitedifference time-domain to fully utilize this finite-difference time-domain algorithm. In this work, using the von Neumann method with the Routh-Hurwitz criterion, the numerical stability conditions of the quadratic complex rational function-finitedifference time-domain are investigated. It is shown that the numerical stability conditions of the quadratic complex rational function-finite-difference time-domain are not same as those of the conventional finite-difference time-domain schemes.

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“…This fact has motivated researchers to improve and extend the LOD-FDTD, e.g., the development of low numerical dispersion schemes [12]- [14], the formulation of perfectly matched layers (PMLs) [15]- [17], and the application to three-dimensional (3-D) problems [18]- [21]. To analyze plasmonic devices in which the metal dispersion should be considered, we have developed several frequency-dependent LOD-FDTDs based on the recursive convolution (RC), piecewise linear RC (PLRC) [22], [23], trapezoidal RC (TRC) [24], auxiliary differential equation (ADE) [22], and transform (ZT) [25] techniques. However, comparison among them has not yet been fully made, particularly for the analysis of plasmonic devices under the condition that the time step is beyond the CFL limit.…”

Section: Introductionmentioning

confidence: 99%

A Frequency-Dependent LOD-FDTD Method and Its Application to the Analyses of Plasmonic Waveguide Devices

Shibayama

Nomura

Ando

et al. 2010

IEEE J. Quantum Electron.

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Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides

Cited by 23 publications

References 20 publications

Broadband Finite‐Difference Time‐Domain Modeling of Plasmonic Organic Photovoltaics

Broadband Finite‐Difference Time‐Domain Modeling of Plasmonic Organic Photovoltaics

On the Numerical Stability of Finite-Difference Time-Domain for Wave Propagation in Dispersive Media Using Quadratic Complex Rational Function

A Frequency-Dependent LOD-FDTD Method and Its Application to the Analyses of Plasmonic Waveguide Devices

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