Abstract

A mode-matching method in the sense of least squares is used to analyze thin-film waveguides with a periodic groove structure of finite extent. Two diffraction problems are treated. The first is that of a grating coupler for plane-wave incidence and for which the Bragg condition is satisfied. In the second problem a guided mode is incident upon the periodic part through the unperturbed part of a waveguide, and the Bragg condition is satisfied. The approximate scattered fields of each region of the waveguide are described by a superposition of plane waves with band-limited spectra. These approximate wavefunctions are determined by the minimization of the mean-square boundary residual resulting in simultaneous Fredholm-type integral equations of the second kind for these spectra. Results based on the first-order approximate solutions of the integral equations are presented.

© 1989 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Obliquely incident wave coupling on finite-aperture waveguide gratings

Nahum Izhaky and Amos Hardy
J. Opt. Soc. Am. A 16(2) 305-315 (1999)

Numerical analysis of a thin-film waveguide by mode-matching method

Kamenosuke Yasuura, Katsunori Shimohara, and Tokuo Miyamoto
J. Opt. Soc. Am. 70(2) 183-191 (1980)

Input-grating couplers for narrow Gaussian beam: influence of groove depth

Chubing Peng and William A Challener
Opt. Express 12(26) 6481-6490 (2004)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (11)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (63)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription