## Accurate analysis of power coupling between two arbitrarily ended dielectric slab waveguides by the boundary-element method

JOSA A, Vol. 20, Issue 8, pp. 1608-1616 (2003)

http://dx.doi.org/10.1364/JOSAA.20.001608

Enhanced HTML Acrobat PDF (387 KB)

### Abstract

The boundary integral equations that are called guided-mode extracted integral equations are applied to the investigation of the power-coupling-properties between two arbitrarily ended dielectric slab waveguides. The integral equations derived in this paper can be solved by the conventional boundary-element method. The reflection and coupling coefficients of the guided wave, as well as the scattering power, are calculated numerically for the case of incident TE guided-mode waves. The results presented are checked by the energy conservation law and the reciprocity theorem. Numerical results are presented for several geometries of coupling, including systems with three-layered symmetrical and asymmetrical slab waveguides.

© 2003 Optical Society of America

**OCIS Codes**

(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers

(130.2790) Integrated optics : Guided waves

(230.7400) Optical devices : Waveguides, slab

(310.2790) Thin films : Guided waves

**History**

Original Manuscript: January 7, 2003

Revised Manuscript: March 13, 2003

Manuscript Accepted: March 13, 2003

Published: August 1, 2003

**Citation**

Dao Ngoc Chien, Kazuo Tanaka, and Masahiro Tanaka, "Accurate analysis of power coupling between two arbitrarily ended dielectric slab waveguides by the boundary-element method," J. Opt. Soc. Am. A **20**, 1608-1616 (2003)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-8-1608

Sort: Year | Journal | Reset

### References

- G. A. Hockham, A. B. Sharpe, “Dielectric-waveguide discontinuities,” Electron. Lett. 8, 230–231 (1972). [CrossRef]
- K. Kawano, H. Miyazawa, O. Mitomi, “New calculations for coupling laser diode to multimode fiber,” J. Lightwave Technol. LT-4, 368–374 (1986). [CrossRef]
- P. Gelin, M. Petenzi, J. Citerne, “New rigorous analysis of the step discontinuity in a slab dielectric waveguide,” Electron. Lett. 15, 355–356 (1979). [CrossRef]
- T. Takenaka, O. Fukumitsu, “Accurate analysis of the abrupt discontinuity in a dielectric waveguide,” Electron. Lett. 19, 806–807 (1983). [CrossRef]
- K. Uchida, K. Aoki, “Scattering of surface waves on transverse discontinuities in symmetrical three-layer dielectric waveguides,” IEEE Trans. Microwave Theory Tech. MTT-32, 11–19 (1984). [CrossRef]
- C. S. Rocha, “Scattering of surface waves at dielectric slab waveguide with axial ascending discontinuity,” IEEE Trans. Magn. 34, 2720–2723 (1998). [CrossRef]
- G. Kweon, I. Park, “Splicing losses between dissimilar optical waveguides,” J. Lightwave Technol. 17, 690–703 (1999). [CrossRef]
- D. Marcuse, “Loss analysis of single-mode fiber splices,” Bell Syst. Tech. J. 56, 703–718 (1977). [CrossRef]
- C. N. Capsalis, N. K. Uzunoglu, I. G. Tigelis, “Coupling between two abruptly terminated single-mode optical fibers,” J. Opt. Soc. Am. B 5, 1624–1630 (1988). [CrossRef]
- C. N. Capsalis, N. K. Uzunoglu, “Coupling between an abruptly terminated optical fiber and a dielectric planar waveguide,” IEEE Trans. Microwave Theory Tech. MTT-35, 1043–1051 (1987). [CrossRef]
- S. Chung, C. H. Chen, “A partial variational approach for arbitrary discontinuities in planar dielectric waveguides,” IEEE Trans. Microwave Theory Tech. 37, 208–214 (1989). [CrossRef]
- K. Hirayama, M. Koshiba, “Analysis of discontinuities in an open dielectric slab waveguide by combination of finite and boundary elements,” IEEE Trans. Microwave Theory Tech. 37, 761–767 (1989). [CrossRef]
- K. Hirayama, M. Koshiba, “Numerical analysis of arbitrarily shaped discontinuities between planar dielectric waveguides with different thicknesses,” IEEE Trans. Microwave Theory Tech. 38, 260–264 (1990). [CrossRef]
- T. P. Shen, R. F. Wallis, A. A. Maradudin, “Fresnel-like behavior of guided waves,” J. Opt. Soc. Am. A 4, 2120–2132 (1987). [CrossRef]
- K. Tanaka, M. Kojima, “New boundary integral equations for computer-aided design of dielectric waveguide circuits,” J. Opt. Soc. Am. A 6, 667–674 (1989). [CrossRef]
- K. Tanaka, M. Tanaka, H. Tashima, H. Ootera, Y. Yoshino, “New integral equation method for CAD of open waveguide bends,” Radio Sci. 28, 1219–1227 (1993). [CrossRef]
- K. Tanaka, M. Tanaka, “Computer-aided design of dielectric optical waveguide bends by the boundary-element method based on guided-mode, extracted integral equations,” J. Opt. Soc. Am. A 13, 1362–1368 (1996). [CrossRef]
- D. N. Chien, M. Tanaka, K. Tanaka, “Numerical simulation of an arbitrarily ended, asymmetrical slab waveguide by guided-mode, extracted integral equations,” J. Opt. Soc. Am. A 19, 1649–1657 (2002). [CrossRef]
- M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chap. 1.

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.