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

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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 languageUndefined
Pages (from-to)161-176
Number of pages16
JournalJournal of nonlinear optical physics & materials
Volume14
Issue number2
DOIs
Publication statusPublished - 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

Cite this

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title = "Hybrid analytic-numeric method for light through a bounded planar dielectric structure",
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.",
keywords = "hybrid analytic-numeric method, IR-53376, EWI-13936, Transparent-Influx Boundary Conditions, Dirichlet-to-Neumann operator, Helmholtz problems, METIS-226023, Finite Element Method",
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year = "2005",
month = "6",
doi = "10.1142/S021886350500261X",
language = "Undefined",
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journal = "Journal of nonlinear optical physics & materials",
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Hybrid analytic-numeric method for light through a bounded planar dielectric structure. / Nicolau, J.B.; van Groesen, Embrecht W.C.

In: Journal of nonlinear optical physics & materials, Vol. 14, No. 2, 06.2005, p. 161-176.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

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

AU - Nicolau, J.B.

AU - van Groesen, Embrecht W.C.

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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

M3 - Article

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JO - Journal of nonlinear optical physics & materials

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SN - 0218-8635

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