To understand the vertical and the lateral growth mechanisms of microchanne
l epitaxy (MCE) in detail, two-dimensional numerical calculation is carried
out employing the different boundary conditions on the top and the side su
rfaces of the MCE island. By solving a two-dimensional diffusion equation,
a concentration profile of the solute is determined as a function of growth
time. By calculating the lateral growth rate, the width-to-thickness ratio
of the MCE island (W/T ratio) has been derived from the computation. The c
alculated W/T ratio shows a good agreement in both cooling rate and growth
temperature dependence with those obtained from the experiment when the gro
wth temperature is above 500 degrees C. (C) 2000 Elsevier Science B.V. All
rights reserved.