Abstract
Exploration of nonlinear phenomena in photonic crystals began with simple one-dimensional photonic crystals in waveguides and glass fibers. Bragg gratings in silica fibers have been developed for many linear applications, for example for optical filters in wavelength division multiplexed optical communication systems. These high quality fiber Bragg gratings have been used to observe nonlinear propagation phenomena for the first time in photonic crystals [1,2]. Low linear and nonlinear losses along with high optical damage thresholds make these gratings ideal for studying nonlinear propagation effects. Nonlinear phenomena in these periodic dielectric structures include many of the phenomena in uniform dielectric media [3] including fiber solitons [4] and polarization instabilities [5]. Fiber Bragg gratings can be fabricated as shown in Fig. 8.1 with great precision and control over many parameters including the spatial dependence of the amplitude and phase of the grating.
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References
B.J. Eggleton, R.E. Slusher, C.M. de Sterke, P.A. Krug, and J.E. Sipe: Phys. Rev. Lett. 76, 1627 (1996)
D. Taverner, N.G.R. Broderick, D.J. Richardson, R.I. Laming, and M. Ibsen: Opt. Lett. 23, 328 (1998); N.G.R. Broderick, D.J. Richardson, and M. Ibsen: Opt. Lett. 25, 536 (2000)
G.P. Agrawal, Nonlinear fiber optics, 2nd Edn. ( Academic Press, San Diego 1995 )
L.F. Mollenauer, R.H. Stolen, and J.P. Gordon: Phys. Rev. Lett. 45, 1095 (1980)
H.G. Winful: Opt. Lett. 11, 33 (1986)
B.J. Eggleton, C.M. de Sterke, and R.E. Slusher: J. Opt. Soc. Am. B 16, 587 (1999)
B.J. Eggleton, C.M. de Sterke, A.B. Aceves, J.E. Sipe, T.A. Strasser, and R.E. Slusher: Opt. Comm. 149, 267 (1998)
Nonlinear Propagation in Fiber Gratings 199
R.E. Slusher, S. Spalter, B.J. Eggleton, S. Pereira, and J.E. Sipe: Opt. Lett. 25, 749 (2000)
G. Lenz, B.J. Eggleton, and N. Litchinitser: J. Opt. Soc. Am. B 15, 715 (1997)
G. Lenz and B.J. Eggleton: J. Opt. Soc. Am. B 15, 2979 (1998)
S. Pereira, J.E. Sipe, and R.E. Slusher: submitted to J. Opt. Soc. Am. B
T.A. Strasser, P.J. Chandonnet, J. DeMarko, C.E. Soccolich, J.R. Pedrazzani, D.J. DiGiovanni, M.J. Andrejco, and D.S. Shenk, in Optical Fiber Communication Conference Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996): postdeadline paper PD8–1
P.S. Cross and H. Kogelnik: Opt. Lett. 1, 43 (1977)
B. Malo, D.C. Johnson, F. Bilodeau, J. Albert, and K.O. Hill: Elect. Lett. 31, 223 (1995)
R. Kashyap: Fiber Bragg Gratings, 1st edn. ( Academic Press, New York 1999 )
J. Martin and F. Ouellette: Electron. Lett. 30, 812 (1994)
K.O. Hill, B. Malo, F. Bilodeau, D.C. Johnson, and J. Albert: Appl. Phys. Lett. 62 1035 (1993)
C.M. de Sterke and J.E. Sipe: Phys. Rev. A 42, 550 (1990)
B.J. Eggleton, T. Stephens, P.A. Krug, G. Dhosi, Z. Brodzeli, and F. Ouellette: Elect. Lett. 32, 1610 (1996)
P.S.J. Russell: J. Mod. Opt. 38, 1599 (1991)
N.M. Litchinitser, B.J. Eggleton, and D.B. Patterson: J. Lightwave Technol. 15, 1303 (1997)
N.M. Litchinitser, G.P. Agrawal, B. J. Eggleton, and G. Lenz: Optics Express 3, 411 (1998)
D.N. Christodoulides and R.I. Joseph: Phys. Rev. Lett. 62, 1746 (1989)
A.B. Aceves and S. Wabnitz: Phys. Lett. A 141, 37 (1989)
B.J. Eggleton, C.M. de Sterke, and R.E. Slusher: Opt. Lett. 21, 1223 (1996)
B.J. Eggleton, C.M. de Sterke, and R.E. Slusher: J. Opt. Soc. Am. B 14, 2980 (1997)
C.M. de Sterke, B.J. Eggleton, and P.A. Krug: J. Lightwave Technology 15, 2908 (1997)
D. Taverner, N.G.R. Broderick, D.J. Richardson, M. Ibsen, and R.I. Laming: Opt. Lett. 23, 259 (1998)
H.G. Winful: Appl. Phys. Lett. 46, 527 (1985)
B. Malo, D.C. Johnson, F. Bilodeau, J. Albert, and K.O. Hill: Elect. Lett. 31, 223 (1995)
H. Haus: Opt. Let. 17, 1134 (1992)
H.G. Winful and G.D. Cooperman: Appl. Phys. Lett. 40, 298 (1982)
C.M. de Sterke and J.E. Sipe: “Gap solitons,” in Progress in Optics XXXIII, E. Wolf, Ed., (Elsevier, Amsterdam 1994 ), Chap. III-Gap Solitons
C.M. de Sterke, K.R. Jackson, and B.D. Robert: J. Opt. Soc. Am B 8, 403 (1991)
M.J. Steel and C.M. de Sterke: Phys. Rev. A 49, 5048 (1994)
C.M. de Sterke: Optics Express 3, 405 (1998)
D. Von der Linde: IEEE J. Quant. Elect. QE-8, 328 (1972)
B.J. Eggleton, G. Lenz, R.E. Slusher, and N.M. Litchinitser: Appl. Opt. 37 7055–7061 (1998)
B.J. Eggleton, C.M. de Sterke, A.B. Aceves, J.E. Sipe, T.A. Strasser, and R. E. Slusher: Optics Comm 149, 267 (1998)
J.E. Sipe, B.J. Eggleton, and T.A. Strasser: Opt. Comm. 152, 269 (1998)
K.O. Hill, Y. Fujii, D.C. Johnson, and B.S. Kawasaki: Appl. Phys. Lett. 32, 647 (1978)
R.E. Slusher, B.J. Eggleton, T.A. Strasser, and C.M. de Sterke: Optics Express 3, 465 (1998)
B.J. Eggleton, R.E. Slusher, N.M. Litchinitser, G.P. Agrawal, A.B. Aceves, and C.M. de Sterke, “Experimental observation of interaction between Bragg solitons,” in International Quantum Electronics Conference, Vol. 7 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998, paper QTuJ5
N.M. Litchinitser, B.J. Eggleton, C.M. de Sterke, A.B. Aceves, and G.P. Agrawal: J. Opt. Soc. Am. B 16, 18 (1998)
J.P. Gordon: Opt. Lett. 8, 596 (1983)
S. Wang, H. Erlig, H. Fetterman, V. Grubsky, and J. Feinberg: Proc. SPIE 3228, 407 (1997)
M. Scalora, R.J. Flynn, S.B. Reinhardt, R.L. Fork, M.J. Bloemer, M.D. Tocci, C.M. Bowden, H.S. Ledbetter, J.M. Bendickson, J.P. Dowling and R.P. Leavitt: Phys. Rev. E. 54, 1078 (1996)
K. Tai, A. Hasegawa, and A. Tomita: Phys. Rev. Lett. 56, 135 (1986)
S. Trillo, S. Wabnitz, R.H. Stolen, G. Assanto. C.T. Seaton and G. Stegeman: Appl. Phys. Lett. 49, 1224 (1986)
Y. Silberberg and Y. Barad: Opt. Lett. 20, 246 (1995)
N.N. Akhmediev and A. Ankiewicz, Soldons: Nonlinear pulses and beams, First Edition ( Chapman and Hall, London, UK, 1997 )
N.N. Akhmediev, A.Q. Buryak, and J.M. Soto-Crespo: Opt. Comm. 112, 278 (1994)
N.N. Akhmediev and J.M. Soto-Crespo: Phys. Rev. E 49, 5742 (1994)
J.M. Soto-Crespo, N.N. Akhmediev, and A. Ankiewicz: J. Opt. Soc. Am. B 12, 1100 (1995)
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Eggleton, B.J., Slusher, R.E. (2003). Nonlinear Propagation in Fiber Gratings. In: Slusher, R.E., Eggleton, B.J. (eds) Nonlinear Photonic Crystals. Springer Series in Photonics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05144-3_8
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