**THIN
FILM ANALYSIS USING SPECTROMETRY AND ELLIPSOMETRY**

**Objective #4:**

__IV. 1
Inexpensive and Versatile Film Measurement Device__:

The polarized spectrophotometer described in Objectives
#2 is very
powerful because so much information can be generated.
However, it requires the use of an expensive spectrophotometer.
Therefore, the question becomes, can an inexpensive machine be designed
to perform like this equipment and possess as much of the positive qualities
of Table IX? Such a design is
proposed in Figure 23, where the incident angle of a laser beam is varied from
a small angle to about the polarization angle.
A MathCad program was written to generate a theoretical curve that
would be generated by this equipment if the silicon dioxide covered wafer were
analyzed.

**FIGURE 23: ****
**Inexpensive Film Thickness Analyzer.

The MathCad program and Figure 24 shows the
theoretical curve generated. In
Figure 24, there is a pair of a maximum and a minimum for the two s- and p-
components and there is a s-component minimum, unpaired due to the
polarization angle. Therefore, it can be immediately seen that both n and d can
easily be determined independently, by Equation 3.

(3) |

For instance,
Equation 3 can be determined at the maximum and at the minimum shown in Figure
24 for s-component, for two consecutive m integer values.
Unlike spectrophotometry, n remains constant as φ varies, if the
film is assumed totally transparent. Also,
δ_{s} is a function of φ, which allow the n and d to be
separated from the n*d term at each point.
The complex index of the substrate does vary with φ, but it varies
by a relation which is independent of material.
The relation is included in the MathCad program.

**FIGURE 24: ****
**Parallel and Perpendicular Reflection Ratios versus Angle of
Incidence. (Reflected from silicon with 1082 nm silica film over
reflection from silicon with only a native oxide.)

Go to Abstract & Intro. Go to Objective #1 Go to Objective #2 Go to Objective #3

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