Optical bistability in a nonlinear photonic crystal waveguide notch filter

Remco Stoffer, Yu. S. Kivshar

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

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Abstract

Optical bistability occurs when the effects of nonlinear behaviour of materials cause hysteresis in the transmission and reflection of a device. A possible mechanism for this is a strong dependence of the optical intensity on the index of refraction, e.g. in a cavity near resonance. In a 2- dimensional photonic crystal composed of rods of high-index material in air, a waveguide can be created by removing a line of rods. When a cavity is made by taking away several rods perpendicular to the waveguide, a notch filter characteristic in the transmission occurs. Due to the high intensity in the cavity in resonance, nonlinear effects are enhanced. This paper shows numerical simulations of bistability in the transmission and in the field inside the cavity both when a material inside the cavity has third-order (Kerr-type) nonlinear effects, and when the high-index rods themselves are nonlinear.
Original languageUndefined
Title of host publicationProceedings 2000 IEEE/LEOS Symposium Benelux Chapter
EditorsX.J.M. Leijtens, J.H. Besten
Place of PublicationDelft, the Netherlands
PublisherDelft University of Technology
Pages247-250
ISBN (Print)9789090142609
Publication statusPublished - 2000
EventIEEE/LEOS Symposium Benelux Chapter 2000 - University of Delft, Delft, Netherlands
Duration: 30 Oct 200030 Oct 2000

Publication series

Name
PublisherUniversity of Delft

Conference

ConferenceIEEE/LEOS Symposium Benelux Chapter 2000
CountryNetherlands
CityDelft
Period30/10/0030/10/00

Keywords

  • IR-58178

Cite this

Stoffer, R., & Kivshar, Y. S. (2000). Optical bistability in a nonlinear photonic crystal waveguide notch filter. In X. J. M. Leijtens, & J. H. Besten (Eds.), Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter (pp. 247-250). Delft, the Netherlands: Delft University of Technology.
Stoffer, Remco ; Kivshar, Yu. S. / Optical bistability in a nonlinear photonic crystal waveguide notch filter. Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter. editor / X.J.M. Leijtens ; J.H. Besten. Delft, the Netherlands : Delft University of Technology, 2000. pp. 247-250
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Stoffer, R & Kivshar, YS 2000, Optical bistability in a nonlinear photonic crystal waveguide notch filter. in XJM Leijtens & JH Besten (eds), Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter. Delft University of Technology, Delft, the Netherlands, pp. 247-250, IEEE/LEOS Symposium Benelux Chapter 2000, Delft, Netherlands, 30/10/00.

Optical bistability in a nonlinear photonic crystal waveguide notch filter. / Stoffer, Remco; Kivshar, Yu. S.

Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter. ed. / X.J.M. Leijtens; J.H. Besten. Delft, the Netherlands : Delft University of Technology, 2000. p. 247-250.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

TY - CHAP

T1 - Optical bistability in a nonlinear photonic crystal waveguide notch filter

AU - Stoffer, Remco

AU - Kivshar, Yu. S.

PY - 2000

Y1 - 2000

N2 - Optical bistability occurs when the effects of nonlinear behaviour of materials cause hysteresis in the transmission and reflection of a device. A possible mechanism for this is a strong dependence of the optical intensity on the index of refraction, e.g. in a cavity near resonance. In a 2- dimensional photonic crystal composed of rods of high-index material in air, a waveguide can be created by removing a line of rods. When a cavity is made by taking away several rods perpendicular to the waveguide, a notch filter characteristic in the transmission occurs. Due to the high intensity in the cavity in resonance, nonlinear effects are enhanced. This paper shows numerical simulations of bistability in the transmission and in the field inside the cavity both when a material inside the cavity has third-order (Kerr-type) nonlinear effects, and when the high-index rods themselves are nonlinear.

AB - Optical bistability occurs when the effects of nonlinear behaviour of materials cause hysteresis in the transmission and reflection of a device. A possible mechanism for this is a strong dependence of the optical intensity on the index of refraction, e.g. in a cavity near resonance. In a 2- dimensional photonic crystal composed of rods of high-index material in air, a waveguide can be created by removing a line of rods. When a cavity is made by taking away several rods perpendicular to the waveguide, a notch filter characteristic in the transmission occurs. Due to the high intensity in the cavity in resonance, nonlinear effects are enhanced. This paper shows numerical simulations of bistability in the transmission and in the field inside the cavity both when a material inside the cavity has third-order (Kerr-type) nonlinear effects, and when the high-index rods themselves are nonlinear.

KW - IR-58178

M3 - Chapter

SN - 9789090142609

SP - 247

EP - 250

BT - Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter

A2 - Leijtens, X.J.M.

A2 - Besten, J.H.

PB - Delft University of Technology

CY - Delft, the Netherlands

ER -

Stoffer R, Kivshar YS. Optical bistability in a nonlinear photonic crystal waveguide notch filter. In Leijtens XJM, Besten JH, editors, Proceedings 2000 IEEE/LEOS Symposium Benelux Chapter. Delft, the Netherlands: Delft University of Technology. 2000. p. 247-250