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In a single mode structure, the reflectivity of a grating structure is maximum when the Bragg condition 2β = κ is satisfied, where β is the propagation wavevector and κ is the grating wavevector. If β -» β(Ρ\ then the grating can be detuned from the Bragg condition and hence the reflectivity can be tuned by varying the input guided wave power . Under appropriate conditions, bistability can be achieved in a nonlinear distributed feedback grating. To date, only nonlinear tuning of the grating reflectivity has been demonstrated, an example of which is shown in Fig.
Lett. 55, 1823 (1989). J. S. Aitchison, M . K. Oliver, E. K a p o n , E. Colas, and P. W. E. Smith, Appl. Phys. Lett. 56, 1305(1990). D. M. Krol and M. T h a k u r , Appl. Phys. Lett. 56, 1406 (1990). M. Lequime and J. P. H e r m a n n , J. Chem. Phys. 26, 431 (1977). S. T. H o , M. T h a k u r , and A. L a P o r t a , IQEC Digest, P a p e r Q T U B 5 , 4 0 - 4 2 (1990). M. B. M a r q u e s , G. Assanto, G. I. Stegeman, G. R. M ö h l m a n n , E. W. P. Erdhuisen, a n d W. H. G. Horsthuis, Appl.
E. Leaird, Ε. M. Vogel, and P. W. E. Smith, Opt. Lett. 15, 471 (1990). Chapter 2 OPTICAL SOLITONS Govind P . Agrawal The Institute of Optics University of Rochester Rochester, New York 1. 2. 3. 4. 5. 6. 7. 1. 2. 3. 4. 5. 6. 1. 2. 3. 1. 2. 3. 1. 2. 1. 2. 3. 4. Bistable Solitons Concluding R e m a r k s Acknowledgments References 1. 41 42 43 46 48 52 56 57 60 60 63 65 67 67 69 70 71 71 72 74 75 75 76 78 79 79 79 INTRODUCTION The term soliton was coined in 1965 to describe a remarkable property of wave propagation in nonlinear media that is manifested through particle-like properties of the wave envelope [ 1 ] .