Abstract

It is shown that an interface between two dielectric media, where the lower-refractive-index material has a positive optical Kerr coefficient, can support a two-dimensional optical surface wave that propagates along the interface with a constant shape and intensity. Analytical expressions describing the wave are derived, and the characteristics of the wave are discussed.

© 1980 Optical Society of America

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References

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  1. A. E. Kaplan, JETP Lett. 24, 114 (1976).
  2. A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).
  3. P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
    [CrossRef]
  4. D. Marcuse, P. W. Smith, W. J. Tomlinson, presented at Eleventh International Quantum Electronics Conference, Boston, Mass., 1980.
  5. A. E. Kaplan, Radiophys. Quantum Electron. 22, 229 (1979).
    [CrossRef]
  6. S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
    [CrossRef]

1979 (2)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

A. E. Kaplan, Radiophys. Quantum Electron. 22, 229 (1979).
[CrossRef]

1977 (1)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

1976 (1)

A. E. Kaplan, JETP Lett. 24, 114 (1976).

1968 (1)

S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
[CrossRef]

Hermann, J.-P.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Kaplan, A. E.

A. E. Kaplan, Radiophys. Quantum Electron. 22, 229 (1979).
[CrossRef]

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

A. E. Kaplan, JETP Lett. 24, 114 (1976).

Khokhlov, R. V.

S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
[CrossRef]

Maloney, P. J.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

Marcuse, D.

D. Marcuse, P. W. Smith, W. J. Tomlinson, presented at Eleventh International Quantum Electronics Conference, Boston, Mass., 1980.

Smith, P. W.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

D. Marcuse, P. W. Smith, W. J. Tomlinson, presented at Eleventh International Quantum Electronics Conference, Boston, Mass., 1980.

Sukhorukov, A. P.

S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
[CrossRef]

Tomlinson, W. J.

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

D. Marcuse, P. W. Smith, W. J. Tomlinson, presented at Eleventh International Quantum Electronics Conference, Boston, Mass., 1980.

Appl. Phys. Lett. (1)

P. W. Smith, J.-P. Hermann, W. J. Tomlinson, P. J. Maloney, Appl. Phys. Lett. 35, 846 (1979).
[CrossRef]

JETP Lett. (1)

A. E. Kaplan, JETP Lett. 24, 114 (1976).

Radiophys. Quantum Electron. (1)

A. E. Kaplan, Radiophys. Quantum Electron. 22, 229 (1979).
[CrossRef]

Sov. Phys. JETP (1)

A. E. Kaplan, Sov. Phys. JETP 45, 896 (1977).

Sov. Phys. Usp. (1)

S. A. Akhmanov, A. P. Sukhorukov, R. V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968).
[CrossRef]

Other (1)

D. Marcuse, P. W. Smith, W. J. Tomlinson, presented at Eleventh International Quantum Electronics Conference, Boston, Mass., 1980.

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Figures (2)

Fig. 1
Fig. 1

Calculated parameters of the surface wave, as functions of D, for the case in which 0 = 1.5, Δ = −0.06.

Fig. 2
Fig. 2

Calculated field amplitude as a function of z for several values of D. (The values for 0 and Δ are the same as for Fig. 1.)

Equations (17)

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( x , y , z ) = 0 + Δ + 2 | E ( x , y , z ) | 2 ,
2 E + ω 2 c 2 E = 0 .
E ( x , y , z ) = { E 10 exp ( i k x x ) exp ( k 1 z z ) ( z < 0 ) E 20 exp ( i k x x ) sech [ k 2 z ( z z 0 ) ] ( z > 0 ) .
( k x 2 + k 1 z 2 + k 0 2 ) E = 0 ,
k 1 z 2 = k x 2 k 0 2 .
( k x 2 + k 2 z 2 + k 0 2 ψ c 2 k 0 2 ) E + ( 2 k 2 z 2 E 20 2 + 2 0 k 0 2 ) | E | 2 E = 0 ,
k 2 z 2 = k x 2 k 0 2 ( 1 ψ c 2 )
k 2 z 2 = 2 E 20 2 2 | Δ | k 0 2 ψ c 2 .
E 10 = E 20 sech ( k 2 z z 0 )
E 10 = E 20 k 2 z k 1 z sinh ( k 2 z z 0 ) cosh 2 ( k 2 z z 0 ) .
2 E 20 2 = 2 | Δ | ( 1 + D ) .
k 1 z = k 0 ψ c D ,
k 2 z = k 0 ψ c 1 + D ,
k x = k 0 ψ c ψ c 2 + D .
2 E 10 2 = 2 | Δ | .
z 0 = ln ( 1 + D + D ) k 0 ψ c 1 + D .
P k x | E | 2 d z = 2 0 ψ c 2 2 ψ c 2 + D ( 1 D + D + 1 + D ) .

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