Abstract
Eigenvalues and eigenfunctions of stationary TE waves for plane symmetrical nonlinear waveguides are studied. For a negative refractive index difference between the core and cladding (antiwaveguide) regions are found where a continuum of eigenfunctions exist in certain energy intervals. Such regions are interpreted as regions of stability. There is possible concentration of optical power in the core as well as in the cladding in these regions. Boundary values of propagation constants for nonlinear waveguides and antiwaveguides are obtained.
Similar content being viewed by others
References
B. V.GISIN and A. A.HARDY,Phys. Rev. A 48 (1993) 3466.
N. N.AKHMEDIEV,Modern Problems in Condensed Matter Science, vol. 29, edited by H.-E.Ponath and G. J.Stegeman (North-Holland, Amsterdam, 1991) p. 289.
A. A.MARADUDIN,Optical and Acoustic Waves in Solids — Modern Topics, edited by M.Borissov (World Scientific, Singapore, 1983) p. 72.
P.VARATHARAJAH, J. V.MOLONY, A. C.NEWELL and E. M.WRIGHT,J. Opt. Soc. Am. B 10 (1993) 46.
G. I.STEGEMAN, C. T.SEATON, J. T.CHILWELL and S. D.SMITH,J. Appl. Phys. Lett. 44 (1984) 830.
N.AKHMEDIEV, A.ANKIEWICZ and H.TRAN,J. Opt. Soc. Am. B 10 (1993) 230.
A. I.LOMTEV,Pis'ma Zh. Tekh. Fis. 9 (1983) 1310 [Sov. Tech. Phys. Lett. 9 (1983) 563].
D.GLOGE,Appl. Opt. 10 (1971) 2252.
D.MARCUSE,Theory of Dielectric Optical Waveguides (Academic Press, New York, 1974).
S.LANG,Elliptic Functions (Addison-Wesley, Reading, Mass., 1973).
B. V.GISIN, A. A.HARDY and B. A.MALOMED,Phys. Rev. E. 50 (1994) 3274.
H.STOLEN and C.LIN,Phys. Rev. A. 17 (1978) 1448.
D.GOTTER,Ultrafast Phenomena V, edited by G. R.Fleming and A. E.Siegeman (Springer-Verlag, Berlin, 1986) p. 274.
Y. R.SHEN,The Principles of Nonlinear Optics (Wiley, New York, 1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gisin, B.V., Hardy, A.A. Stationary solutions of plane nonlinear optical antiwaveguides. Opt Quant Electron 27, 565–575 (1995). https://doi.org/10.1007/BF00563140
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00563140