supporting information by C. Blumberg et al. .
1
Mask-less MOVPE of arrayed n-GaN nanowires on site- and polarity-controlled AlN/Si
templates”
C. Blumberg, F. Wefers, F.-J. Tegude, N. Weimann, W. Prost
Lotharstr. 55 (ZHO), 47057 Duisburg, Germany
E-mail: christian.blumberg@uni-due.de
Supporting information
Reflected interferometry on SAE islands
In this publication reflected interferometry data has been used to analyze and interpret the
growth of GaN islands on an AlN/Si surface. Here, we explain possible causes for signal
oscillation and signal decreasing during the GaN island and NW growth on AlN/Si 2D-layers.
To simplify the model, we do not consider the Si pillars in the following analyzation but
chose a flat AlN- and Si-layer. Furthermore, absorption effects are neglected. The measured
reflected interferometer intensity is a superposition of reflected light from the GaN islands
and from light reflected at the AlN/Si surface, where no GaN should grow. Thus, we have
calculated the light path and the intensity change during its propagation through the crystals at
different positions. Figure 1 schematically illustrates how the light propagates, if it hits the
r-facet of a GaN island (a) and how it is reflected without (b) and with increasing parasitic
growth (c and d) on the flat AlN/Si-template.
First, the incident light on a GaN island is discussed (Figure 1 a). We have calculated the
incident ( ), the exit and the reflected angle based on the fixed angular dependence of the
facets and the Fresnel equations. E.g. the angle between the m-direction ([11 0]) and the
̅
2
r-direction [(11 ]) is 61.5°, and thus, the incident angle at the air/r-facet interface is also
̅
21
61.5°. Using the refractive indexes of air (1), GaN (2.387), AlN (2.17) and Si (3.87) at the
interferometer wavelength of 633 nm, the exit angles at each interface and the total reflection
(R) and transmission (T = 1 - R) can be calculated. The results are summarized in Table 1.
Electronic Supplementary Material (ESI) for CrystEngComm.
This journal is © The Royal Society of Chemistry 2019