Self-similar Evolution of Self-written Waveguides
Tanya M. Monro
Dept Theoretical Physics, School of Physics
University of Sydney, NSW 2006 Australia
and
Optical Fibre Technology Centre, University of Sydney, Australian Photonics
CRC
Australian Technology Park, Eveleigh NSW 1430 Australia
Peter D. Miller
Optical Sciences Centre, Australian National University
Australian Photonics CRC,
Canberra ACT 0200 Australia
L. Poladian
Optical Fibre Technology Centre, University of Sydney,
Australian Photonics CRC
Australian Technology Park, Eveleigh NSW 1430, Australia
C. Martijn de Sterke
Dept Theoretical Physics, School of Physics
University of Sydney, NSW 2006 Australia
and
Optical Fibre Technology Centre, University of Sydney, Australian Photonics
CRC
Australian Technology Park, Eveleigh NSW 1430 Australia
Abstract:
Numerical simulations show that channel waveguides can be self-written in photosensitive materials. As the waveguide evolves, its shape remains approximately constant, even though its depth and width change. We find an exact solution that describes this evolution, which we show to be self-similar. A wide variety of single peaked beams self-write waveguides that converge to this solution.