Hybrid analytic-numeric method for light through a bounded planar dielectric structure

J.B. Nicolau; Embrecht W.C. van Groesen

doi:10.1142/S021886350500261X

Hybrid analytic-numeric method for light through a bounded planar dielectric structure

J.B. Nicolau, Embrecht W.C. van Groesen

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerical calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate transparent-influx boundary conditions (TIBCs) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations.

Original language	Undefined
Pages (from-to)	161-176
Number of pages	16
Journal	Journal of nonlinear optical physics & materials
Volume	14
Issue number	2
DOIs	https://doi.org/10.1142/S021886350500261X
Publication status	Published - Jun 2005

Keywords

hybrid analytic-numeric method
IR-53376
EWI-13936
Transparent-Influx Boundary Conditions
Dirichlet-to-Neumann operator
Helmholtz problems
METIS-226023
Finite Element Method

Access to Document

10.1142/S021886350500261X

Cite this

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abstract = "We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerical calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate transparent-influx boundary conditions (TIBCs) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations.",

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T1 - Hybrid analytic-numeric method for light through a bounded planar dielectric structure

AU - Nicolau, J.B.

AU - van Groesen, Embrecht W.C.

PY - 2005/6

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N2 - We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerical calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate transparent-influx boundary conditions (TIBCs) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations.

AB - We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerical calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate transparent-influx boundary conditions (TIBCs) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations.

KW - hybrid analytic-numeric method

KW - IR-53376

KW - EWI-13936

KW - Transparent-Influx Boundary Conditions

KW - Dirichlet-to-Neumann operator

KW - Helmholtz problems

KW - METIS-226023

KW - Finite Element Method

U2 - 10.1142/S021886350500261X

DO - 10.1142/S021886350500261X

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VL - 14

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EP - 176

JO - Journal of nonlinear optical physics & materials

JF - Journal of nonlinear optical physics & materials

SN - 0218-8635

IS - 2

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