A mathematical model for Ti diffusion in LiNbO3
- 30 May 1994
- journal article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 6 (22) , 4067-4076
- https://doi.org/10.1088/0953-8984/6/22/006
Abstract
The diffusion of titanium in crystalline lithium niobate is studied within the framework of the Nernst-Planck theory for ionic diffusion. Under this conceptualization, a concentration-dependent diffusivity emerges naturally from the mathematical model as a direct consequence of the electric field induced by ion dislocation in the lattice. Numerical simulations of the one-dimensional case show strong evidence of enhanced diffusive transport of mass. This might explain the anomalous lateral penetration of Ti in LiNbO3 which has been observed in previous experiments.Keywords
This publication has 10 references indexed in Scilit:
- Lattice site location of Ti diffused and doped in LiNbO3Physics Letters A, 1992
- Self-orgainzed criticality and singular diffusionPhysical Review Letters, 1990
- Ion-exchanged glass waveguides: a reviewJournal of Lightwave Technology, 1988
- Channeling Investigation of the Lattice Location of Ti in Ti-Implanted Optical Waveguides in LiNbO3MRS Proceedings, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Modeling of titanium diffusion into LiNbO3 using a depth-dependent diffusion coefficientJournal of Applied Physics, 1986
- Titanium diffusion into LiNbO3 as a function of stoichiometryJournal of Applied Physics, 1984
- Optical properties of titanium-diffused LiNbO_3 strip waveguides and their coupling-to-a-fiber characteristicsApplied Optics, 1980
- Ti diffusion in Ti : LiNbO3 planar and channel optical waveguidesJournal of Applied Physics, 1979
- A study on titanium diffusion into LiNbO3 waveguides by electron probe analysis and X-ray diffraction methodsJournal of Materials Science, 1978