Coupled mode theory for resonant excitation of waveguiding structures

Hugo Hoekstra

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
155 Downloads (Pure)

Abstract

Resonant coupling of light beams via high-index media or gratings to planar waveguiding structures are of interest for both applications and from a theoretical point of view. Coupled Mode theory (CMT) can give an accurate description of the coupling process in terms of relatively simple expressions involving often a large number of coupling parameters. In this paper it is shown, using time reversal and energy conservation how these parameters are interrelated. The evaluation of the remaining independent parameters is shown to be possible using a few reflection and transmission coefficients for incoming plane waves, including in the calculations, if present, the effect of the grating. Further, it is proved that under certain condition a grating coupler may show exactly 100% reflection. Analytical expressions for the reflected and transmitted beams and the amplitude distribution of the excited mode are given for the case of incoming Gaussian beams. A few applications of the theory and considerations on its applicability are presented.
Original languageUndefined
Pages (from-to)735-758
JournalOptical and quantum electronics
Volume32
Issue number6-8
DOIs
Publication statusPublished - 2000

Keywords

  • METIS-128746
  • IR-100097

Cite this

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Coupled mode theory for resonant excitation of waveguiding structures. / Hoekstra, Hugo.

In: Optical and quantum electronics, Vol. 32, No. 6-8, 2000, p. 735-758.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Coupled mode theory for resonant excitation of waveguiding structures

AU - Hoekstra, Hugo

PY - 2000

Y1 - 2000

N2 - Resonant coupling of light beams via high-index media or gratings to planar waveguiding structures are of interest for both applications and from a theoretical point of view. Coupled Mode theory (CMT) can give an accurate description of the coupling process in terms of relatively simple expressions involving often a large number of coupling parameters. In this paper it is shown, using time reversal and energy conservation how these parameters are interrelated. The evaluation of the remaining independent parameters is shown to be possible using a few reflection and transmission coefficients for incoming plane waves, including in the calculations, if present, the effect of the grating. Further, it is proved that under certain condition a grating coupler may show exactly 100% reflection. Analytical expressions for the reflected and transmitted beams and the amplitude distribution of the excited mode are given for the case of incoming Gaussian beams. A few applications of the theory and considerations on its applicability are presented.

AB - Resonant coupling of light beams via high-index media or gratings to planar waveguiding structures are of interest for both applications and from a theoretical point of view. Coupled Mode theory (CMT) can give an accurate description of the coupling process in terms of relatively simple expressions involving often a large number of coupling parameters. In this paper it is shown, using time reversal and energy conservation how these parameters are interrelated. The evaluation of the remaining independent parameters is shown to be possible using a few reflection and transmission coefficients for incoming plane waves, including in the calculations, if present, the effect of the grating. Further, it is proved that under certain condition a grating coupler may show exactly 100% reflection. Analytical expressions for the reflected and transmitted beams and the amplitude distribution of the excited mode are given for the case of incoming Gaussian beams. A few applications of the theory and considerations on its applicability are presented.

KW - METIS-128746

KW - IR-100097

U2 - 10.1023/A:1007006226372

DO - 10.1023/A:1007006226372

M3 - Article

VL - 32

SP - 735

EP - 758

JO - Optical and quantum electronics

JF - Optical and quantum electronics

SN - 0306-8919

IS - 6-8

ER -