Abstract

In the context of a symmetric linear multilayer optical waveguide, a special transverse-electric fundamental TE0 wave is analyzed that has identical amplitudes in the guide core. The guided structural parameters, such as the core thickness, the number of wells, and the ratio of the well thickness to the periodic length, must have specific relationships to one another to form this kind of uniform TE0 wave. These relationships are investigated, and some field profiles of the uniform TE0 wave are plotted.

© 1999 Optical Society of America

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  1. W. Streifer, D. R. Scifres, and R. D. Burnham, Appl. Opt. 18, 3547 (1979).
    [CrossRef] [PubMed]
  2. Y. K. Chen and M. C. Wu, IEEE J. Quantum Electron. 28, 2176 (1992).
    [CrossRef]
  3. T. H. Wood, J. Lightwave Technol. 6, 743 (1988).
    [CrossRef]
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    [CrossRef]
  5. L. Tsang and S. L. Chuang, J. Lightwave Technol. 6, 832 (1988).
    [CrossRef]
  6. M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
    [CrossRef]
  7. S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
    [CrossRef]
  8. A. P. Zhao and S. R. Cvetkovic, Microwave Opt. Technol. Lett. 4, 247 (1991).
    [CrossRef]
  9. C. S. Ma, Opt. Eng. 37, 2581 (1998).
    [CrossRef]
  10. S. X. She, J. Opt. Soc. Am. A 7, 1582 (1990).
    [CrossRef]

1998 (1)

C. S. Ma, Opt. Eng. 37, 2581 (1998).
[CrossRef]

1992 (1)

Y. K. Chen and M. C. Wu, IEEE J. Quantum Electron. 28, 2176 (1992).
[CrossRef]

1991 (1)

A. P. Zhao and S. R. Cvetkovic, Microwave Opt. Technol. Lett. 4, 247 (1991).
[CrossRef]

1990 (2)

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

S. X. She, J. Opt. Soc. Am. A 7, 1582 (1990).
[CrossRef]

1989 (1)

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

1988 (2)

L. Tsang and S. L. Chuang, J. Lightwave Technol. 6, 832 (1988).
[CrossRef]

T. H. Wood, J. Lightwave Technol. 6, 743 (1988).
[CrossRef]

1985 (1)

S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
[CrossRef]

1979 (1)

Burnham, R. D.

Cada, M.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Chang, T. Y.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Chemla, D. S.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Chen, Y. K.

Y. K. Chen and M. C. Wu, IEEE J. Quantum Electron. 28, 2176 (1992).
[CrossRef]

Cho, Y.

S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
[CrossRef]

Chuang, S. L.

L. Tsang and S. L. Chuang, J. Lightwave Technol. 6, 832 (1988).
[CrossRef]

Cvetkovic, S. R.

A. P. Zhao and S. R. Cvetkovic, Microwave Opt. Technol. Lett. 4, 247 (1991).
[CrossRef]

Glinski, J. M.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Hill, K. O.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Jones, K. L.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Keyworth, B. P.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Ma, C. S.

C. S. Ma, Opt. Eng. 37, 2581 (1998).
[CrossRef]

Ohke, S.

S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
[CrossRef]

Rolland, C.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Sauer, N.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Scifres, D. R.

She, S. X.

Soref, R. A.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Spring Thorpe, A. J.

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

Streifer, W.

Tsang, L.

L. Tsang and S. L. Chuang, J. Lightwave Technol. 6, 832 (1988).
[CrossRef]

Umeda, T.

S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
[CrossRef]

Wegener, M.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Wood, T. H.

T. H. Wood, J. Lightwave Technol. 6, 743 (1988).
[CrossRef]

Wu, M. C.

Y. K. Chen and M. C. Wu, IEEE J. Quantum Electron. 28, 2176 (1992).
[CrossRef]

Zhao, A. P.

A. P. Zhao and S. R. Cvetkovic, Microwave Opt. Technol. Lett. 4, 247 (1991).
[CrossRef]

Zucker, J. E.

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

J. E. Zucker, M. Wegener, K. L. Jones, T. Y. Chang, N. Sauer, and D. S. Chemla, Appl. Phys. Lett. 56, 1951 (1990).
[CrossRef]

M. Cada, B. P. Keyworth, J. M. Glinski, C. Rolland, A. J. Spring Thorpe, K. O. Hill, and R. A. Soref, Appl. Phys. Lett. 54, 2509 (1989).
[CrossRef]

IEEE J. Quantum Electron. (1)

Y. K. Chen and M. C. Wu, IEEE J. Quantum Electron. 28, 2176 (1992).
[CrossRef]

J. Lightwave Technol. (2)

T. H. Wood, J. Lightwave Technol. 6, 743 (1988).
[CrossRef]

L. Tsang and S. L. Chuang, J. Lightwave Technol. 6, 832 (1988).
[CrossRef]

J. Opt. Soc. Am. A (1)

Microwave Opt. Technol. Lett. (1)

A. P. Zhao and S. R. Cvetkovic, Microwave Opt. Technol. Lett. 4, 247 (1991).
[CrossRef]

Opt. Commun. (1)

S. Ohke, T. Umeda, and Y. Cho, Opt. Commun. 56, 235 (1985).
[CrossRef]

Opt. Eng. (1)

C. S. Ma, Opt. Eng. 37, 2581 (1998).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Cross section of a symmetric linear multilayer guide structure, where n1=3.52, n2=3.2, and n3=3.3 for a free-space wavelength λ=13 μm.

Fig. 2
Fig. 2

Field profiles E of the TE0 wave, where b=2 μm, n=10, and R=0.30, 0.32, 0.40. The dashed lines are the boundaries of the guide core.

Fig. 3
Fig. 3

Relationship of core thickness b, number of wells n, and ratio R of the uniform TE0 wave, where (a) n=3,4,,10 and (b) b=0.5,1.0,,3.0 μm.

Fig. 4
Fig. 4

Field profiles E of the uniform TE0 wave, where (a) n=6 and b=1,2,3 μm, which correspond to the three points marked by circles in Fig.  3(a), and (b) b=2 μm and n=5,10,20,30, which correspond to the four points marked by circles in Fig.  3(b). The dashed lines are the boundaries of the guide core.

Equations (8)

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q12=k2n12-N2,qj2=k2N2-nj2,Tj=qj/q1j=2,3,
ExE0=expq3xx0,Ajcosq1x-j-1Λ+Bjsinq1x-j-1Λj-1Λxj-1Λ+b1,j=1,2,,nCjcoshq2x-j-1Λ-b1+Djsinhq2x-j-1Λ-b1j-1Λ+b1xjΛ,j=1,2,n-1Cnexp-q3x-bxb,
AjBj=VUj-11T3j=1,2,,n,CjDj=UVUj-11T3j=1,2,,nforCjj=1,2,,n-1forDj,
U=[cosq1b1sinq1b1-sinq1b1/T2cosq1b1/T2],V=[coshq2b2sinhq2b2T2sinhq2b2T2coshq2b2].
T3Q+T2Q=0,
QQ=UVUn-11T3.
P=kN4ωμ1q3+I1q1+I2q2+Cn2q3E20,
I1=j=1nAj2+Bj2q1b1+Aj2-Bj2×sinq1b1cosq1b1+2AjBjsin2q1b1,I2=j=1n-1Cj2-Dj2q2b2+Cj2+Dj2sinhq2b2×coshq2b2+2CjDjsinh2q2b2.

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