Abstract

Newly developed modal transmission-line theory(MTLT) is used to analyze rigorously the optical power distribution in grating-assisted directional couplers(GADCs) with three guiding channels. By defining a novel coupling efficiency <TEX>${\eta}$</TEX> amenable to the rigorous analytical solutions of modal transmission-line theory, we explicitly evaluate the power coupling and distribution of TM modes. The results reveal that the incident power is sensitively partitioned through three output channels in terms of such grating parameters as the grating period, the duty cycle, and the operating wavelength.

© 2004 Optical Society of Korea

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    [CrossRef]
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    [CrossRef]
  3. Fukumura, and S. Sawa, "A three-waveguide tapered-velocity coupler for dividing optical power into three equal parts," IEICE Trans. Electron., vol. E80-C, pp. 1414-1420, 1997
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    [CrossRef]
  6. K. Watanabe and K. Yasumoto, "Coupled-mode analysis of waveguide filtering in a grating-assisted asymmetric three-waveguide directional coupler," J. Opt. Soc. Amer., vol. 14, pp. 2994-3000, 1997
    [CrossRef]
  7. S. Adachi, "Refractive Indices of III-V Compounds: Key Properties of InGaAsP Relevant to Device Design," J. Appl. Phys., vol. 53, no. 8, pp. 5863-5869, 1982
    [CrossRef]
  8. T. Tamir and S. Zhang, "Modal Transmission-Line Theory of Multilayered Grating Structures," J. Lightwave Technol., vol. 14, pp. 914-927, 1996
    [CrossRef]
  9. J. P. Donnelly, H. A. Haus, and N. Whitaker, "Symmetric three-guide optical coupler with nonidentical center and outside guides," IEEE J. Quantum Electron., vol. 23, pp. 401-406, 1987
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    [CrossRef]

2001 (1)

K. C. Ho and Y. K. Kim, "On leaky-wave approach of rigorous modes coupled in multilayered periodic waveguides," IEICE Trans. Electron., vol. E84-C, no. 1, pp. 84-95, 2001

1997 (3)

K. Watanabe and K. Yasumoto, "Coupled-mode analysis of waveguide filtering in a grating-assisted asymmetric three-waveguide directional coupler," J. Opt. Soc. Amer., vol. 14, pp. 2994-3000, 1997
[CrossRef]

Fukumura, and S. Sawa, "A three-waveguide tapered-velocity coupler for dividing optical power into three equal parts," IEICE Trans. Electron., vol. E80-C, pp. 1414-1420, 1997

K. C. Ho, G. Griffel and T. Tamir, "Polarization Splitting in Lossy/Gainy MQW Directional Couplers," J. Lightwave Technol. vol. 15, pp. 1233-1240, 1997
[CrossRef]

1996 (2)

T. Tamir and S. Zhang, "Modal Transmission-Line Theory of Multilayered Grating Structures," J. Lightwave Technol., vol. 14, pp. 914-927, 1996
[CrossRef]

S. Zhang and T. Tamir, "Rigorous theory of grating-assisted couplers," J. Opt. Soc. Amer., vol. 13, pp. 2403-2413, 1996
[CrossRef]

1987 (1)

J. P. Donnelly, H. A. Haus, and N. Whitaker, "Symmetric three-guide optical coupler with nonidentical center and outside guides," IEEE J. Quantum Electron., vol. 23, pp. 401-406, 1987

1986 (1)

J. P. Donnelly, "Limitations on power-transfer efficiency in three-guide optical couplers," IEEE J. Quantum Electron., vol. 22, pp. 610-616, 1986. [3] M. Geshiro, T. Kitamura, K
[CrossRef]

1982 (1)

S. Adachi, "Refractive Indices of III-V Compounds: Key Properties of InGaAsP Relevant to Device Design," J. Appl. Phys., vol. 53, no. 8, pp. 5863-5869, 1982
[CrossRef]

1981 (1)

H. A. Haus and C. G. Fonstard, Three-waveguide coupler for improved sampling and filtering," IEEE J. Quantum Electron., vol. 17, pp. 2321-2325, 1981
[CrossRef]

IEICE Trans. Electron (2)

Fukumura, and S. Sawa, "A three-waveguide tapered-velocity coupler for dividing optical power into three equal parts," IEICE Trans. Electron., vol. E80-C, pp. 1414-1420, 1997

K. C. Ho and Y. K. Kim, "On leaky-wave approach of rigorous modes coupled in multilayered periodic waveguides," IEICE Trans. Electron., vol. E84-C, no. 1, pp. 84-95, 2001

Journal of Applied Pysics (1)

S. Adachi, "Refractive Indices of III-V Compounds: Key Properties of InGaAsP Relevant to Device Design," J. Appl. Phys., vol. 53, no. 8, pp. 5863-5869, 1982
[CrossRef]

Journal of the Optical Society of America A (1)

K. Watanabe and K. Yasumoto, "Coupled-mode analysis of waveguide filtering in a grating-assisted asymmetric three-waveguide directional coupler," J. Opt. Soc. Amer., vol. 14, pp. 2994-3000, 1997
[CrossRef]

Journal of the Optical Society of America A (1)

S. Zhang and T. Tamir, "Rigorous theory of grating-assisted couplers," J. Opt. Soc. Amer., vol. 13, pp. 2403-2413, 1996
[CrossRef]

Lightwave Technology, Journal of (2)

K. C. Ho, G. Griffel and T. Tamir, "Polarization Splitting in Lossy/Gainy MQW Directional Couplers," J. Lightwave Technol. vol. 15, pp. 1233-1240, 1997
[CrossRef]

T. Tamir and S. Zhang, "Modal Transmission-Line Theory of Multilayered Grating Structures," J. Lightwave Technol., vol. 14, pp. 914-927, 1996
[CrossRef]

Quantum Electronics, IEEE Journal of (3)

J. P. Donnelly, H. A. Haus, and N. Whitaker, "Symmetric three-guide optical coupler with nonidentical center and outside guides," IEEE J. Quantum Electron., vol. 23, pp. 401-406, 1987

H. A. Haus and C. G. Fonstard, Three-waveguide coupler for improved sampling and filtering," IEEE J. Quantum Electron., vol. 17, pp. 2321-2325, 1981
[CrossRef]

J. P. Donnelly, "Limitations on power-transfer efficiency in three-guide optical couplers," IEEE J. Quantum Electron., vol. 22, pp. 610-616, 1986. [3] M. Geshiro, T. Kitamura, K
[CrossRef]

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