Abstract

We show the possibility of a new kind of passive nonlinear-optical device: an optical power filter made of graded-index single-mode fiber (SMF) and a nonlinear medium (NLM). It is shown that, only for a particular power, the mode in the SMF matches the mode in the NLM. The transmission coefficient from the NLM to the SMF is determined, and it is shown that a laser beam with a particular power can be filtered out.

© 1996 Optical Society of America

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References

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    [CrossRef] [PubMed]
  3. L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).
  4. A. W. Snyder, L. Poladian, D. J. MitchellOpt. Lett. 17, 267 (1992).
    [CrossRef] [PubMed]
  5. M. S. Sodha, S. Medhekar, S. Konar, A. Saxena, M. RajkamalOpt. Lett. 19, 1113 (1994).
    [CrossRef]
  6. S. Medhekar, S. Konar, M. S. SodhaOpt. Lett. 20, 2192 (1995).
    [CrossRef] [PubMed]
  7. L. W. Tutt, T. F. BoggessProg. Quantum Electron. 17, 299 (1993).
    [CrossRef]
  8. J. A. Hermann, M. E. GriggOpt. Commun. 49, 367 (1984).
    [CrossRef]
  9. W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
    [CrossRef]
  10. S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).
  11. M. S. Sodha, A. K. Ghatak, V. K. TripathiSelf-focusing of Laser Beams in Dielectrics, Plasmas, and Semiconductors (Tata McGraw-Hill, New Delhi, 1974), pp. 30–40.
  12. S. Konar, A. SenguptaJ. Opt. Soc. Am. B 11, 1644 (1994).
    [CrossRef]
  13. M. S. Sodha, A. K. Ghatakin Inhomogeneous Optical Waveguides (Plenum, New York, 1977), pp. 40–41.
  14. A. K. Ghatak, K. Thyagarajanin Optical Electronics (Cambridge U. Press, Cambridge, 1989), pp. 410–412.
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    [CrossRef] [PubMed]
  16. Hong-Jun Zhang, Jian-Hua Dai, Peng-Ye Wang, Ling-An WuOpt. Lett. 14, 695 (1989).
    [CrossRef] [PubMed]

1995

1994

1993

L. W. Tutt, T. F. BoggessProg. Quantum Electron. 17, 299 (1993).
[CrossRef]

1992

1991

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. K. Jackel, P. W. E. SmithOpt. Lett. 16, 15 (1991).
[CrossRef] [PubMed]

R. de la Feuente, A. Barthelemy, C. FroehlyOpt. Lett. 16, 793 (1991).
[CrossRef]

L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).

1989

1984

J. A. Hermann, M. E. GriggOpt. Commun. 49, 367 (1984).
[CrossRef]

W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
[CrossRef]

1981

1966

S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).

Aitchison, J. S.

Akhamanov, S. A.

S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).

Ashkin, A.

Barthelemy, A.

Boggess, T. F.

L. W. Tutt, T. F. BoggessProg. Quantum Electron. 17, 299 (1993).
[CrossRef]

Dai, Jian-Hua

de la Feuente, R.

Froehly, C.

Ghatak, A. K.

A. K. Ghatak, K. Thyagarajanin Optical Electronics (Cambridge U. Press, Cambridge, 1989), pp. 410–412.

M. S. Sodha, A. K. Ghatak, V. K. TripathiSelf-focusing of Laser Beams in Dielectrics, Plasmas, and Semiconductors (Tata McGraw-Hill, New Delhi, 1974), pp. 30–40.

M. S. Sodha, A. K. Ghatakin Inhomogeneous Optical Waveguides (Plenum, New York, 1977), pp. 40–41.

Grigg, M. E.

J. A. Hermann, M. E. GriggOpt. Commun. 49, 367 (1984).
[CrossRef]

Hermann, J. A.

J. A. Hermann, M. E. GriggOpt. Commun. 49, 367 (1984).
[CrossRef]

Jackel, J. K.

Khokholov, R. V.

S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).

Konar, S.

Leaird, D. E.

Medhekar, S.

Mitchell, D. J.

A. W. Snyder, L. Poladian, D. J. MitchellOpt. Lett. 17, 267 (1992).
[CrossRef] [PubMed]

L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).

Oliver, M. K.

Poladian, L.

A. W. Snyder, L. Poladian, D. J. MitchellOpt. Lett. 17, 267 (1992).
[CrossRef] [PubMed]

L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).

Rajkamal, M.

Saxena, A.

Sengupta, A.

Silberberg, Y.

Smith, P. W.

Smith, P. W. E.

Snyder, A. W.

A. W. Snyder, L. Poladian, D. J. MitchellOpt. Lett. 17, 267 (1992).
[CrossRef] [PubMed]

L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).

Sodha, M. S.

S. Medhekar, S. Konar, M. S. SodhaOpt. Lett. 20, 2192 (1995).
[CrossRef] [PubMed]

M. S. Sodha, S. Medhekar, S. Konar, A. Saxena, M. RajkamalOpt. Lett. 19, 1113 (1994).
[CrossRef]

M. S. Sodha, A. K. Ghatak, V. K. TripathiSelf-focusing of Laser Beams in Dielectrics, Plasmas, and Semiconductors (Tata McGraw-Hill, New Delhi, 1974), pp. 30–40.

M. S. Sodha, A. K. Ghatakin Inhomogeneous Optical Waveguides (Plenum, New York, 1977), pp. 40–41.

Soileau, M. J.

W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
[CrossRef]

Sukhorukhov, A. P.

S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).

Thyagarajan, K.

A. K. Ghatak, K. Thyagarajanin Optical Electronics (Cambridge U. Press, Cambridge, 1989), pp. 410–412.

Tomlinson, W. J.

Tripathi, V. K.

M. S. Sodha, A. K. Ghatak, V. K. TripathiSelf-focusing of Laser Beams in Dielectrics, Plasmas, and Semiconductors (Tata McGraw-Hill, New Delhi, 1974), pp. 30–40.

Tutt, L. W.

L. W. Tutt, T. F. BoggessProg. Quantum Electron. 17, 299 (1993).
[CrossRef]

Van Stryland, E. W.

W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
[CrossRef]

Wang, Peng-Ye

Weiner, A. M.

Williams, W. E.

W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
[CrossRef]

Wu, Ling-An

Zhang, Hong-Jun

J. Opt. Soc. Am. B

Opt. Commun.

J. A. Hermann, M. E. GriggOpt. Commun. 49, 367 (1984).
[CrossRef]

W. E. Williams, M. J. Soileau, E. W. Van StrylandOpt. Commun. 50, 256 (1984).
[CrossRef]

L. Poladian, A. W. Snyder, D. J. MitchellOpt. Commun. 84, (1991 );A. W. Snyder, L. Poladian, D. J. Mitchell, “Directing one beam of light by another beam,” presented at the Fifteenth Annual Meeting of the Australian Conference on Optical Fiber Technology, Sydney, Australia, December 2–6, 1990 ; T. ThwaitesNew Sci. 1751, 14 (1991).

Opt. Lett.

Prog. Quantum Electron.

L. W. Tutt, T. F. BoggessProg. Quantum Electron. 17, 299 (1993).
[CrossRef]

Sov. Phys. JETP

S. A. Akhamanov, A. P. Sukhorukhov, R. V. KhokholovSov. Phys. JETP 23, 1025 (1966).

Other

M. S. Sodha, A. K. Ghatak, V. K. TripathiSelf-focusing of Laser Beams in Dielectrics, Plasmas, and Semiconductors (Tata McGraw-Hill, New Delhi, 1974), pp. 30–40.

M. S. Sodha, A. K. Ghatakin Inhomogeneous Optical Waveguides (Plenum, New York, 1977), pp. 40–41.

A. K. Ghatak, K. Thyagarajanin Optical Electronics (Cambridge U. Press, Cambridge, 1989), pp. 410–412.

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of the device.

Fig. 2
Fig. 2

Variation of r0 with power P when Eq. (4) is used.

Fig. 3
Fig. 3

Variation of Pout with Pin for different separation distances (z) between two SMF’s.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

E 1 E 1 | interfacel = E 01 2 exp ( r 2 / r 0 2 ) ,
1 ( E 1 E 1 ) = 01 + ϕ ( E 1 E 1 ) ,
2 f 1 ξ 2 = ω 2 c 2 k 1 2 f 1 3 ω 4 r 0 2 α E 01 2 s exp ( α E 01 2 / 2 f 1 2 ) 2 k 1 2 c 4 f 1 3 ,
r 0 2 = 2 c 2 / [ ω 2 α E 01 2 s exp ( α E 01 2 ) ] .
2 = 02 + 2 r 2 ,
2 = N co 2 r 0 2 ( N co 2 N cl 2 N cl 2 ) ,
2 f 2 ξ 2 = ω 2 c 2 k 2 2 f 2 3 ω 4 r 0 4 2 f 2 c 4 k 2 2 ,
r 0 2 = ( c 2 ω 2 2 ) 1 / 4 .
E 1 = C 1 E 01 f 1 exp ( r 2 2 r 0 2 f 1 2 ) exp [ i ( k 1 z + k 1 r 2 2 β 1 ) ] .
E 2 = C 2 E 02 f 2 exp ( r 2 2 r 0 2 f 2 2 ) exp [ i ( k 2 z + k 2 r 2 2 β 2 ) ] ,
T = | E 1 E 2 2 π r d r | 2 .
T = 1 r 0 4 f 1 2 f 2 2 [ ( 1 2 r 0 2 f 1 2 + 1 2 r 0 2 f 2 2 ) 2 + ( k 1 β 1 2 k 2 β 2 2 ) 2 ]
T = 1 r 0 4 f 1 2 [ ( 1 2 r 0 2 f 1 2 + 1 2 r 0 2 ) 2 + ( k 1 β 1 2 ) 2 ]

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