Abstract

We examine the structure and modal gains of the leaky modes of an infinite periodic index-guided array by direct solution of the two-dimensional Helmholtz equation. These findings serve to validate the physical insights suggested by our previous calculations based on the effective-index method and, in particular, confirm the concept of guide-width tailoring for affecting fundamental-mode operation of these devices at high power levels. Our newer model also provides new insights into the mode-selection mechanism and demonstrates clearly the necessity of a full two-dimensional treatment if one is to describe the mode profiles or their relative gains accurately.

© 1989 Optical Society of America

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References

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  1. D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
    [CrossRef]
  2. G. R. Hadley, Opt. Lett. 14, 308 (1989).
    [CrossRef] [PubMed]
  3. D. Botez, G. Peterson, Electron. Lett. 24, 1042 (1988).
    [CrossRef]
  4. D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
    [CrossRef]
  5. W. Streifer, E. Kapon, Appl. Opt. 18, 3724 (1979).
    [CrossRef] [PubMed]

1989

1988

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

D. Botez, G. Peterson, Electron. Lett. 24, 1042 (1988).
[CrossRef]

D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
[CrossRef]

1979

Botez, D.

D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
[CrossRef]

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

D. Botez, G. Peterson, Electron. Lett. 24, 1042 (1988).
[CrossRef]

Hadley, G. R.

Hayashida, P.

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

Kapon, E.

Mawst, L.

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

Mawst, L. J.

D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
[CrossRef]

Peterson, G.

D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
[CrossRef]

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

D. Botez, G. Peterson, Electron. Lett. 24, 1042 (1988).
[CrossRef]

Roth, T. J.

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

Streifer, W.

Appl. Opt.

Appl. Phys. Lett.

D. Botez, L. Mawst, P. Hayashida, G. Peterson, T. J. Roth, Appl. Phys. Lett. 53, 464 (1988).
[CrossRef]

Electron. Lett.

D. Botez, G. Peterson, Electron. Lett. 24, 1042 (1988).
[CrossRef]

D. Botez, L. J. Mawst, G. Peterson, Electron. Lett. 24, 1328 (1988).
[CrossRef]

Opt. Lett.

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Figures (3)

Fig. 1
Fig. 1

(a) Cross section (not to scale) of a portion of the infinite periodic buried-ridge waveguide array being modeled. The units are micrometers for the wavelength and all distances. The quantities in parentheses are the complex dielectric constants of the various regions. Only the region inside the dashed lines was actually zoned, with appropriate symmetry boundary conditions used to simulate the rest of the device. (b) Confinement factors versus the lateral position for the region between the dashed lines in (a). Curves are shown for two values of the guide with w (in micrometers) and illustrate the sensitivity of leaky-mode confinement factors to this parameter. Fund, fundamental; evan, evanescent.

Fig. 2
Fig. 2

Modal gains of the fundamental (dashed curves) and high-order (solid curves) leaky modes as a function of the guide width for the device structure shown in Fig. 1(a). Other leaky modes (not shown) were found to have consistently lower gain than the highest-gain mode in the figure.

Fig. 3
Fig. 3

Intensity contours for the fundamental (even) and high-order (odd) leaky modes for three different guide widths (in micrometers). The region shown corresponds to the area between the dashed lines in Fig. 1. The guide widths chosen correspond to maxima in the curves of Fig. 2.

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