Coupling between photonic crystal waveguides

Author

Kuchinsky, Sergey ; Golyatin, Vladislav Y. ; Kutikov, Alexander Y. ; Pearsall, Thomas P. ; Nedelikovic, D.

Author_Institution

Corning Sci. Center, St. Petersburg, Russia

Volume

38

Issue

10

fYear

2002

fDate

10/1/2002 12:00:00 AM

Firstpage

1349

Lastpage

1352

Abstract

A calculation procedure for evaluation of the coupling length of two parallel coupled channel waveguides in a planar photonic crystal is proposed. The first step of the calculation is evaluation of the band structure of a photonic crystal containing two coupled linear defects. The eigenvalue corresponding to eigenstates localized in the linear defect (the waveguide) is split due to the coupling. This splitting is treated within the coupled-mode theory that yields a simple relation between the splitting and the coupling length. The MIT photonic bands code is used to evaluate the coupling between channel waveguides in silicon.¹ These calculations show that in contrast to the finite-difference time-domain approach, the method is effective for three-dimensional light propagation.

Keywords

band structure; coupled mode analysis; eigenvalues and eigenfunctions; finite difference time-domain analysis; optical couplers; optical planar waveguides; optical waveguide theory; photonic band gap; 3D light propagation; band structure; calculation procedure; channel waveguides; coupled-mode theory; coupling length; eigenstates; eigenvalue; finite-difference time-domain approach; linear defect; linear defects; parallel coupled channel waveguides; photonic bands code; photonic crystal waveguide coupling; planar photonic crystal; splitting length; three-dimensional light propagation; Electromagnetic waveguides; Finite difference methods; Optical crosstalk; Optical planar waveguides; Optical propagation; Optical waveguides; Photonic crystals; Planar waveguides; Slabs; Time domain analysis;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2002.802954

Filename

1035982