Abstract

The concept of having the effective refractive index of an optical waveguide mode be independent of temperature is introduced. It is shown that this concept should be realizable with a Corning 7059 glass thin-film waveguide supported on a SiO2-Si substrate for a waveguide thickness of 0.37 μm. Measurements of effective refractive index as a function of temperature confirm this prediction of temperature independence in that they show a very small variation with temperature for a 0.35-μm thick waveguide in comparison with that for a 0.98-μm thick waveguide.

© 1981 Optical Society of America

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References

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  1. S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
    [CrossRef]
  2. S. Dutta, H. E. Jackson, J. T. Boyd, J. Appl. Phys., to be published.
  3. S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.
  4. T. G. Giallorenzi, W. K. Burns, J. Conovan, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper TuCl.
  5. S. K. Sheem, T. G. Giallorenzi, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper MA3.
  6. J. T. Boyd, IEEE J. Quantum Electron. QE-8, 788 (1972).
    [CrossRef]
  7. W. Stutius, W. Streifer, Appl. Opt. 16, 3218 (1977).
    [CrossRef] [PubMed]
  8. Material information sheet and private communication from Corning Glass Works, Corning, N.Y. 14830.
  9. W. G. Driscoll, Ed., Handbook of Optics (McGraw-Hill, New York, 1978).
  10. A. Yariv, Quantum Electronics (Wiley, New York, 1975).
  11. M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
    [CrossRef]
  12. R. Ulrich, R. Torge, Appl. Opt. 12, 2901 (1973).
    [CrossRef] [PubMed]
  13. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975).
  14. Schott Optical Glass Inc., Duryea, Pa. 18642.

1980 (1)

S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
[CrossRef]

1979 (1)

M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
[CrossRef]

1977 (1)

1973 (1)

1972 (1)

J. T. Boyd, IEEE J. Quantum Electron. QE-8, 788 (1972).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975).

Boyd, J. T.

S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
[CrossRef]

J. T. Boyd, IEEE J. Quantum Electron. QE-8, 788 (1972).
[CrossRef]

S. Dutta, H. E. Jackson, J. T. Boyd, J. Appl. Phys., to be published.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

Brandt, G. B.

M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
[CrossRef]

Burns, W. K.

T. G. Giallorenzi, W. K. Burns, J. Conovan, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper TuCl.

Conovan, J.

T. G. Giallorenzi, W. K. Burns, J. Conovan, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper TuCl.

Conroy, J. J.

M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
[CrossRef]

Davis, R. L.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

Dutta, S.

S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
[CrossRef]

S. Dutta, H. E. Jackson, J. T. Boyd, J. Appl. Phys., to be published.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

Giallorenzi, T. G.

T. G. Giallorenzi, W. K. Burns, J. Conovan, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper TuCl.

S. K. Sheem, T. G. Giallorenzi, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper MA3.

Gottlieb, M.

M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
[CrossRef]

Hickernell, F. S.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

Jackson, H. E.

S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
[CrossRef]

S. Dutta, H. E. Jackson, J. T. Boyd, J. Appl. Phys., to be published.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

Sheem, S. K.

S. K. Sheem, T. G. Giallorenzi, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper MA3.

Streifer, W.

Stutius, W.

Torge, R.

Ulrich, R.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975).

Yariv, A.

A. Yariv, Quantum Electronics (Wiley, New York, 1975).

Appl. Opt. (2)

Appl. Phys. Lett. (1)

S. Dutta, H. E. Jackson, J. T. Boyd, Appl. Phys. Lett. 37, 512 (1980).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. T. Boyd, IEEE J. Quantum Electron. QE-8, 788 (1972).
[CrossRef]

IEEE Trans. Circuits Syst. (1)

M. Gottlieb, G. B. Brandt, J. J. Conroy, IEEE Trans. Circuits Syst. CAS-26, 1029 (1979).
[CrossRef]

Other (9)

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975).

Schott Optical Glass Inc., Duryea, Pa. 18642.

S. Dutta, H. E. Jackson, J. T. Boyd, J. Appl. Phys., to be published.

S. Dutta, H. E. Jackson, J. T. Boyd, F. S. Hickernell, R. L. Davis, submitted.

T. G. Giallorenzi, W. K. Burns, J. Conovan, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper TuCl.

S. K. Sheem, T. G. Giallorenzi, in Digest of Topical Meeting on Integrated and Guided Wave Optics (Optical Society of America, Washington, D.C., 1980), paper MA3.

Material information sheet and private communication from Corning Glass Works, Corning, N.Y. 14830.

W. G. Driscoll, Ed., Handbook of Optics (McGraw-Hill, New York, 1978).

A. Yariv, Quantum Electronics (Wiley, New York, 1975).

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Figures (3)

Fig. 1
Fig. 1

Calculation of dNe/dT is plotted as a function of D for a 7059 glass thin film on a SiO2 substrate. Note that dNe/dT is zero for a critical value of waveguide thickness Dc. For this calculation Dc = 0.368 μm.

Fig. 2
Fig. 2

Experimental values of the prism–film coupling angle along with a linear mean square fit of the data is plotted as a function of temperature for samples having D = 0.353 μm and D = 0.985 μm.

Fig. 3
Fig. 3

Experimental values of Ne are plotted as a function of temperature for both samples. Straight lines represent linear mean square fits to the data.

Equations (12)

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Δ N e = d N e d T Δ T .
d N e d T = N e D d D d T + i = 1 3 N e N i d N i d T .
h 2 + K 2 N e 2 = K 2 N 2 2
P 2 + K 2 N e 2 = K 2 N 1 2
q 2 + K 2 N e 2 = K 2 N 3 2
tan h D = h ( p 2 + q 2 ) h 2 p q ,
tan ( K N 2 2 N e 2 D ) = ( N 2 2 N e 2 ) 1 / 2 [ ( N e 2 N 1 2 ) 1 / 2 + ( N e 2 N 3 2 ) 1 / 2 ] ( N 2 2 N e 2 ) ( N e 2 N 1 2 ) 1 / 2 ( N e 2 N 3 2 ) 1 / 2 .
d D / d T = 4.60 × 10 6 D ( ° C ) 1 ,
d N 2 / d T = 4.75 × 10 6 ( ° C ) 1 ,
d N 1 / d T = 5.49 × 10 6 ( ° C ) 1 .
d N 3 / d T 0 .
N e ( T ) = cos ξ sin α + sin α [ N p 2 ( T ) sin 2 α ] 1 / 2 ,

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