Geometrical approach to stationary waves in a shallow grating

T.P. Valkering, S.A. van Gils

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

A geometrical analysis of the monochromatic solutions near the first band gap for a shallow Kerr grating is presented.The analysis is based on the coupled mode formalism and on Stokes variables. We investigate the electric field for nonzero energy flow, in particular we consider the phase difference between the counter-propagating coupled modes. Phase portraits for zero and nonzero energy flow are topologically different, and we clarify the way in which they are connected, thus identifying families of trajectories for nonzero flow that disappear when the flow goes to zero.
Original languageEnglish
Pages (from-to)947-958
JournalOptical and quantum electronics
Volume35
Issue number10
DOIs
Publication statusPublished - 2003

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Energy gap
Electric fields
Trajectories
gratings
coupled modes
counters
trajectories
formalism
electric fields
energy

Keywords

  • Kerr grating
  • Band gap
  • Stokes variables

Cite this

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abstract = "A geometrical analysis of the monochromatic solutions near the first band gap for a shallow Kerr grating is presented.The analysis is based on the coupled mode formalism and on Stokes variables. We investigate the electric field for nonzero energy flow, in particular we consider the phase difference between the counter-propagating coupled modes. Phase portraits for zero and nonzero energy flow are topologically different, and we clarify the way in which they are connected, thus identifying families of trajectories for nonzero flow that disappear when the flow goes to zero.",
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Geometrical approach to stationary waves in a shallow grating. / Valkering, T.P.; van Gils, S.A.

In: Optical and quantum electronics, Vol. 35, No. 10, 2003, p. 947-958.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Geometrical approach to stationary waves in a shallow grating

AU - Valkering, T.P.

AU - van Gils, S.A.

PY - 2003

Y1 - 2003

N2 - A geometrical analysis of the monochromatic solutions near the first band gap for a shallow Kerr grating is presented.The analysis is based on the coupled mode formalism and on Stokes variables. We investigate the electric field for nonzero energy flow, in particular we consider the phase difference between the counter-propagating coupled modes. Phase portraits for zero and nonzero energy flow are topologically different, and we clarify the way in which they are connected, thus identifying families of trajectories for nonzero flow that disappear when the flow goes to zero.

AB - A geometrical analysis of the monochromatic solutions near the first band gap for a shallow Kerr grating is presented.The analysis is based on the coupled mode formalism and on Stokes variables. We investigate the electric field for nonzero energy flow, in particular we consider the phase difference between the counter-propagating coupled modes. Phase portraits for zero and nonzero energy flow are topologically different, and we clarify the way in which they are connected, thus identifying families of trajectories for nonzero flow that disappear when the flow goes to zero.

KW - Kerr grating

KW - Band gap

KW - Stokes variables

U2 - 10.1023/A:1025161018788

DO - 10.1023/A:1025161018788

M3 - Article

VL - 35

SP - 947

EP - 958

JO - Optical and quantum electronics

JF - Optical and quantum electronics

SN - 0306-8919

IS - 10

ER -