Abstract

We describe new planar multiport devices written by spatial solitons that are composed of several nonlinearly coupled components in Kerr-type media. Such devices have no radiation losses at a given wavelength. We demonstrate that, for the same relative angle between the input soliton-induced channels, one can vary the transmission coefficients into the output channels by adjusting the polarizations of multicomponent solitons. We determine analytically the transmission properties and discuss two types of experimental embodiment of the proposed device.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. N. Akhmediev and A. Ankiewicz, Opt. Commun. 100, 186 (1993).
    [CrossRef]
  2. A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, Opt. Lett. 26, 1274 (2001).
    [CrossRef]
  3. P. D. Miller and N. N. Akhmediev, Phys. Rev. E 53, 4098 (1996).
    [CrossRef]
  4. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [JETP 38, 248 (1974)].
  5. R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
    [CrossRef]
  6. T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001).
    [CrossRef] [PubMed]
  7. M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
    [CrossRef]
  8. C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
    [CrossRef]
  9. C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. 26, 1498 (2001).
    [CrossRef]
  10. E. DelRe, B. Crosignani, and P. Di Porto, in Spatial Optical Solitons, Vol. 82 of Springer Series in optical sciences, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, New York, 2001), pp. 61–85.
    [CrossRef]
  11. D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
    [CrossRef]
  12. V. G. Makhan’kov and O. K. Pashaev, Teor. Matem. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].
  13. Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
    [CrossRef]

2001 (3)

1999 (1)

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

1998 (1)

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

1997 (1)

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

1996 (2)

P. D. Miller and N. N. Akhmediev, Phys. Rev. E 53, 4098 (1996).
[CrossRef]

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

1993 (1)

N. Akhmediev and A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

1982 (1)

V. G. Makhan’kov and O. K. Pashaev, Teor. Matem. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].

1976 (1)

Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
[CrossRef]

1973 (1)

S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [JETP 38, 248 (1974)].

Akhmediev, N.

N. Akhmediev and A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Akhmediev, N. N.

P. D. Miller and N. N. Akhmediev, Phys. Rev. E 53, 4098 (1996).
[CrossRef]

Anastassiou, C.

C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. 26, 1498 (2001).
[CrossRef]

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Ankiewicz, A.

N. Akhmediev and A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Carmon, T.

Carvalho, M. I.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Christodoulides, D. N.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Crosignani, B.

E. DelRe, B. Crosignani, and P. Di Porto, in Spatial Optical Solitons, Vol. 82 of Springer Series in optical sciences, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, New York, 2001), pp. 61–85.
[CrossRef]

DelRe, E.

E. DelRe, B. Crosignani, and P. Di Porto, in Spatial Optical Solitons, Vol. 82 of Springer Series in optical sciences, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, New York, 2001), pp. 61–85.
[CrossRef]

Di Porto, P.

E. DelRe, B. Crosignani, and P. Di Porto, in Spatial Optical Solitons, Vol. 82 of Springer Series in optical sciences, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, New York, 2001), pp. 61–85.
[CrossRef]

Fleischer, J. W.

Giordmaine, J. A.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Guo, A.

Henry, M.

Hietarinta, J.

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Jakubowski, M. H.

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

Kanna, T.

T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001).
[CrossRef] [PubMed]

Lakshmanan, M.

T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001).
[CrossRef] [PubMed]

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Makhan’kov, V. G.

V. G. Makhan’kov and O. K. Pashaev, Teor. Matem. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].

Manakov, S. V.

S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [JETP 38, 248 (1974)].

Martin, J.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Miller, P. D.

P. D. Miller and N. N. Akhmediev, Phys. Rev. E 53, 4098 (1996).
[CrossRef]

Mitchell, M.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Nogami, Y.

Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
[CrossRef]

Pashaev, O. K.

V. G. Makhan’kov and O. K. Pashaev, Teor. Matem. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].

Radhakrishnan, R.

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

Salamo, G. J.

Segev, M.

A. Guo, M. Henry, G. J. Salamo, M. Segev, and G. L. Wood, Opt. Lett. 26, 1274 (2001).
[CrossRef]

C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. 26, 1498 (2001).
[CrossRef]

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Shih, M. F.

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

Singh, S. R.

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Squier, R.

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

Steiglitz, K.

C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. 26, 1498 (2001).
[CrossRef]

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

Warke, C. S.

Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
[CrossRef]

Wood, G. L.

Appl. Phys. Lett. (1)

D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, Appl. Phys. Lett. 68, 1763 (1996).
[CrossRef]

Opt. Commun. (1)

N. Akhmediev and A. Ankiewicz, Opt. Commun. 100, 186 (1993).
[CrossRef]

Opt. Lett. (2)

Phys. Lett. A (1)

Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
[CrossRef]

Phys. Rev. E (3)

P. D. Miller and N. N. Akhmediev, Phys. Rev. E 53, 4098 (1996).
[CrossRef]

R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
[CrossRef]

M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).
[CrossRef]

Phys. Rev. Lett. (2)

C. Anastassiou, M. Segev, K. Steiglitz, J. A. Giordmaine, M. Mitchell, M. F. Shih, and J. Martin, Phys. Rev. Lett. 83, 2332 (1999).
[CrossRef]

T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001).
[CrossRef] [PubMed]

Teor. Matem. Fiz. (1)

V. G. Makhan’kov and O. K. Pashaev, Teor. Matem. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].

Zh. Eksp. Teor. Fiz. (1)

S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [JETP 38, 248 (1974)].

Other (1)

E. DelRe, B. Crosignani, and P. Di Porto, in Spatial Optical Solitons, Vol. 82 of Springer Series in optical sciences, S. Trillo and W. E. Torruellas, eds. (Springer-Verlag, New York, 2001), pp. 61–85.
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Three-port junction induced by multicomponent solitons: (a) spatial profile of the refractive index, (b)–(d) splitting of input modes among the three output ports. The soliton amplitudes are r1=r2=r3=1; the inclination angles are χ1,1=1,χ2,1=cosφ1expiα, χ2,2=sinφ1,χ3,1=cosφ2cosφ3,χ3,2=sinφ2cosφ3, χ3,3=sinφ3, and χ1,2=χ1,3=χ2,3=0, where φ1=0.1π,α=-0.1π, φ2=0.3π, and φ3=0.1π.

Fig. 2
Fig. 2

Power splitting between the output channels for the mode shown in Fig. 1(c) versus the phase of polarization parameter χ2,1.

Equations (9)

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

iψmz+122ψmx2+Ix,zψm=0,
Ix,z=m=1Mψmx,z2.
n=1Nm=1Munmδmm+χnmenχnmen*kn+kn*=-χnmen.
ψmx,z=n=1Nunmx,z.
unm±=j=1NUnmj±sechrjx-xj±-μjz-zj±×expiγj,
χnm2n=1Nunm1kn+kn*=χnm1n=1Nunm2kn+kn*,
Sχn,jm=1MUnmj±χnm*=0, xn±xj±, Sk±n,m,jn=1MUnmj±kn+kn*=0, xn±xj±, xj±=μz±+lnCj±/rj, Cj±=Sk±j,m,jχjmSA±j,jSχ±j,j1/2, 2Sk±j,m,j+Cj±1+SB±j,j=0,
SA±n,jn=1NAnj±kn+kn*=0, xn±xj±, SB±n,jn=1NBnj±kn+kn*=-1, xn±xj±, Anj±=Bnj±=0, xn±xj± Ajj±=1, Bjj±=0.
Vj+=j=1NTjjVj-,

Metrics