Using Layered Geometry Green's Functions in the Multiple Multipole Program

Alparslan, Aytac; Hafner, Christian

doi:10.1166/jctn.2011.1854

Cited by 6 publications

(4 citation statements)

References 8 publications

(10 reference statements)

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“…As discussed in detail in a previous paper, 10 the Green's function in electromagnetics is the response of the system to a fundamental point source. In free space, the Green's functions can be formulated in a closed form which makes it easy to use them in numerical analysis methods like the Method of Moments (MoM) or MMP.…”

Section: Complex Origin Layered Geometry Green's Functionsmentioning

confidence: 99%

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Analysis of Photonic Structures by the Multiple Multipole Program with Complex Origin Layered Geometry Green's Functions

Alparslan¹,

Hafner²

2012

Jnl of Comp & Theo Nano

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An upgrade for the layered geometry Green's functions is introduced in order to analyze photonic structures in layered geometries by the Multiple Multipole Program (MMP) contained in the open-source simulation package OpenMaX. This upgrade uses the concept of complex origin for point sources in layered geometries, as in the case of complex origin multipole expansions in free space that produce beams. This technique makes it possible for the user to decide on the direction and the shape of the beam generated by a complex origin point source in a layered geometry. By using these point sources as expansions in the MMP, it is possible to decrease the total number of expansions and the solution time for the simulations, especially for long structures compared with the wavelength, built in or on a layered geometry. In this paper, the derivation of the complex origin layered geometry Green's functions will be discussed with a special emphasis on the physical meaning of the complex origin. Several numerical examples, showing the fields generated by the complex origin Green's functions and using them as expansions in MMP will be analyzed.

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Section: Complex Origin Layered Geometry Green's Functionsmentioning

confidence: 99%

“…10,11 As a result of this technique, the number of expansions, the complexity of the problem and the MMP matrix size are decreased. In this paper, an extension for the layered expansions in OpenMaX, 12 the open source simulation tool including MMP, is introduced.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Photonic Structures by the Multiple Multipole Program with Complex Origin Layered Geometry Green's Functions

Alparslan¹,

Hafner²

2012

Jnl of Comp & Theo Nano

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“…By using the automatic expansion distribution routines of OpenMaXwell for the MMP solution, we obtain the results in an efficient and robust way for all the different optimization parameter combinations (the boundary condition mismatch error measured on the scatterers is less than 0.1 percent for the numerical results presented in Section 6). For a detailed description of MMP analysis for layered media, refer to [24][25][26].…”

Section: Boundary Discretization -Mmpmentioning

confidence: 99%

Optimization of a Plasmon-Assisted Waveguide Coupler Using Fem and MMP

Wang¹,

Alparslan²,

Schnepp³

et al. 2014

PIER B

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Abstract-In this paper, we focus on the problem of optimizing plasmonic structures. A plasmonassisted waveguide coupler is considered as a test problem, which leads to a five-dimensional optimization problem carried out by an evolution strategy (ES). The optimization results are verified by a comparative analysis between different solvers, i.e., the finite element package CONCEPTs and the multiple multipole program (MMP). We also compared with results obtained using a deterministic optimization algorithm, namely the Nedler-Mead method as implemented in the commercial software package COMSOL Multiphysics. Some issues concerning deterministic versus evolutionary optimization, in particular, in the field of plasmonics have been discussed.

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“…The direct application to layered structures has to face the problem of infinite interfaces. With the development of integration techniques for the evaluation of multilayer Green's functions [15,17], formulations on only the boundary of the scatterer are possible, and such a formulation has been successfully used with MMP [18]. For homogeneous exterior, there are a variety of local absorbing boundary conditions [8,9] which can be used with volume discretization methods such as FEM or the finite difference time domain method (FDTD).…”

Section: Introductionmentioning

confidence: 99%

Hp-Fem and PML Analysis of Plasmonic Particles in Layered Media

Wang¹,

Schmidt²,

Alparslan³

et al. 2013

PIER

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Abstract-In this paper, we introduce a high order finite element (FEM) implementation using perfectly matched layer (PML) for the scattering by plasmonic structures inside layered media. The PML is proven to be very accurate and efficient by a comparative analysis with a commercial FEM software and the Multiple Multipole Program (MMP). A convergence analysis using hp-adaptive refinement inside the PML layer shows that adaptive mesh refinement inside the PML layer is most efficient. Based on this convergence analysis an hpstrategy is proposed, which shows a remarkable error reduction for small additional computational costs.

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Using Layered Geometry Green's Functions in the Multiple Multipole Program

Cited by 6 publications

References 8 publications

Analysis of Photonic Structures by the Multiple Multipole Program with Complex Origin Layered Geometry Green's Functions

Analysis of Photonic Structures by the Multiple Multipole Program with Complex Origin Layered Geometry Green's Functions

Optimization of a Plasmon-Assisted Waveguide Coupler Using Fem and MMP

Hp-Fem and PML Analysis of Plasmonic Particles in Layered Media

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