Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures

D.J. Duque Guerra; V. Lancellotti; B.P. Hon, de; A.G. Tijhuis

doi:10.1109/URSIGASS.2011.6050378

Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures

D.J. Duque Guerra, V. Lancellotti, B.P. Hon, de, A.G. Tijhuis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

146 Downloads (Pure)

Abstract

We present an efficient formulation based on the linear embedding via Green's operators (LEGO) and the eigencurrent expansion method to optimize composite wave interaction structures, e.g., photonic-crystal based devices. In LEGO, a composite structure is broken up into "bricks" that are characterized through scattering operators and the interaction among them is captured using transfer operators. By exploiting this diakoptic nature of LEGO, we show how the optimization is accomplished using an effective operator defined over the bricks (usually few) enclosing the space where the fields are sampled. This operator encompasses the effect of the surrounding and separates the domain to be optimized from the fixed one, enabling us to carry out the optimization with little computational effort.

Original language	English
Title of host publication	Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1-4
ISBN (Print)	978-1-4244-5117-3
DOIs	https://doi.org/10.1109/URSIGASS.2011.6050378
Publication status	Published - 2011

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10.1109/URSIGASS.2011.6050378

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Duque Guerra, D. J., Lancellotti, V., Hon, de, B. P., & Tijhuis, A. G. (2011). Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures. In Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul (pp. 1-4). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/URSIGASS.2011.6050378

Duque Guerra, D.J. ; Lancellotti, V. ; Hon, de, B.P. et al. / Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures. Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul. Piscataway : Institute of Electrical and Electronics Engineers, 2011. pp. 1-4

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abstract = "We present an efficient formulation based on the linear embedding via Green's operators (LEGO) and the eigencurrent expansion method to optimize composite wave interaction structures, e.g., photonic-crystal based devices. In LEGO, a composite structure is broken up into {"}bricks{"} that are characterized through scattering operators and the interaction among them is captured using transfer operators. By exploiting this diakoptic nature of LEGO, we show how the optimization is accomplished using an effective operator defined over the bricks (usually few) enclosing the space where the fields are sampled. This operator encompasses the effect of the surrounding and separates the domain to be optimized from the fixed one, enabling us to carry out the optimization with little computational effort.",

author = "{Duque Guerra}, D.J. and V. Lancellotti and {Hon, de}, B.P. and A.G. Tijhuis",

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doi = "10.1109/URSIGASS.2011.6050378",

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Duque Guerra, DJ, Lancellotti, V, Hon, de, BP & Tijhuis, AG 2011, Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures. in Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul. Institute of Electrical and Electronics Engineers, Piscataway, pp. 1-4. https://doi.org/10.1109/URSIGASS.2011.6050378

Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures. / Duque Guerra, D.J.; Lancellotti, V.; Hon, de, B.P. et al.
Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul. Piscataway: Institute of Electrical and Electronics Engineers, 2011. p. 1-4.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Hon, de, B.P.

AU - Tijhuis, A.G.

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N2 - We present an efficient formulation based on the linear embedding via Green's operators (LEGO) and the eigencurrent expansion method to optimize composite wave interaction structures, e.g., photonic-crystal based devices. In LEGO, a composite structure is broken up into "bricks" that are characterized through scattering operators and the interaction among them is captured using transfer operators. By exploiting this diakoptic nature of LEGO, we show how the optimization is accomplished using an effective operator defined over the bricks (usually few) enclosing the space where the fields are sampled. This operator encompasses the effect of the surrounding and separates the domain to be optimized from the fixed one, enabling us to carry out the optimization with little computational effort.

AB - We present an efficient formulation based on the linear embedding via Green's operators (LEGO) and the eigencurrent expansion method to optimize composite wave interaction structures, e.g., photonic-crystal based devices. In LEGO, a composite structure is broken up into "bricks" that are characterized through scattering operators and the interaction among them is captured using transfer operators. By exploiting this diakoptic nature of LEGO, we show how the optimization is accomplished using an effective operator defined over the bricks (usually few) enclosing the space where the fields are sampled. This operator encompasses the effect of the surrounding and separates the domain to be optimized from the fixed one, enabling us to carry out the optimization with little computational effort.

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BT - Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul

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Duque Guerra DJ, Lancellotti V, Hon, de BP, Tijhuis AG. Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures. In Proceedings of the XXXth URSI General Assembly and Scientific Symposium, 13-20 Augustus 2011, Istanbul. Piscataway: Institute of Electrical and Electronics Engineers. 2011. p. 1-4 doi: 10.1109/URSIGASS.2011.6050378

Eigencurrent expansion and linear embedding via Green's operators applied to design optimization of devices in electromagnetic band-gap structures

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