Resonant oscillations of diffraction structures with weak nonlinearity

Fridrikh G. Bass; Anatoly Ya Slepyan; Gregory Ya Slepyan

doi:10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P

Resonant oscillations of diffraction structures with weak nonlinearity

Fridrikh G. Bass^*, Anatoly Ya Slepyan, Gregory Ya Slepyan

^*Corresponding author for this work

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

Abstract

Shortened equations for open diffraction structures with a weak nonlinearity have been obtained in the vicinity of a resonance. The parameters of the equivalent pendulum are generally expressed in terms of eigenfrequences and eigenfunctions of an open resonant structure. As an example, a grating with nonlinear bodies has been considered. Bistability in the vicinity of Woods' anomalies has been studied, and the stability of various branches of the solutions has been analyzed.

Original language	English
Pages (from-to)	203-208
Number of pages	6
Journal	Microwave and Optical Technology Letters
Volume	19
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P
State	Published - 1998
Externally published	Yes

Keywords

Bistability
Diffraction
Grating
Nonlinearity

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10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P

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title = "Resonant oscillations of diffraction structures with weak nonlinearity",

abstract = "Shortened equations for open diffraction structures with a weak nonlinearity have been obtained in the vicinity of a resonance. The parameters of the equivalent pendulum are generally expressed in terms of eigenfrequences and eigenfunctions of an open resonant structure. As an example, a grating with nonlinear bodies has been considered. Bistability in the vicinity of Woods' anomalies has been studied, and the stability of various branches of the solutions has been analyzed.",

keywords = "Bistability, Diffraction, Grating, Nonlinearity",

author = "Bass, {Fridrikh G.} and Slepyan, {Anatoly Ya} and Slepyan, {Gregory Ya}",

year = "1998",

doi = "10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P",

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volume = "19",

pages = "203--208",

journal = "Microwave and Optical Technology Letters",

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publisher = "John Wiley and Sons Inc.",

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TY - JOUR

T1 - Resonant oscillations of diffraction structures with weak nonlinearity

AU - Bass, Fridrikh G.

AU - Slepyan, Anatoly Ya

AU - Slepyan, Gregory Ya

PY - 1998

Y1 - 1998

N2 - Shortened equations for open diffraction structures with a weak nonlinearity have been obtained in the vicinity of a resonance. The parameters of the equivalent pendulum are generally expressed in terms of eigenfrequences and eigenfunctions of an open resonant structure. As an example, a grating with nonlinear bodies has been considered. Bistability in the vicinity of Woods' anomalies has been studied, and the stability of various branches of the solutions has been analyzed.

AB - Shortened equations for open diffraction structures with a weak nonlinearity have been obtained in the vicinity of a resonance. The parameters of the equivalent pendulum are generally expressed in terms of eigenfrequences and eigenfunctions of an open resonant structure. As an example, a grating with nonlinear bodies has been considered. Bistability in the vicinity of Woods' anomalies has been studied, and the stability of various branches of the solutions has been analyzed.

KW - Bistability

KW - Diffraction

KW - Grating

KW - Nonlinearity

UR - http://www.scopus.com/inward/record.url?scp=0032188044&partnerID=8YFLogxK

U2 - 10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P

DO - 10.1002/(SICI)1098-2760(19981020)19:3<203::AID-MOP9>3.0.CO;2-P

M3 - מאמר

AN - SCOPUS:0032188044

VL - 19

SP - 203

EP - 208

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

SN - 0895-2477

IS - 3

ER -

Resonant oscillations of diffraction structures with weak nonlinearity

Abstract

Keywords

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