Next, we need to calculate all of the inner products.
Next, we need to calculate all of the inner products.
+
+
<math>2 C _1 C _2 = 0.0405</math>
+
+
<math>2 C _1 C _3 = 0.0012</math>
+
+
<math>2 C _1 C _4 = 0.0000</math>
+
+
<math>2 C _1 C _5 = 0.0000</math>
+
+
<math>2 C _2 C _3 = 0.0008</math>
+
+
<math>2 C _2 C _4 = 0.0000</math>
+
+
<math>2 C _2 C _5 = 0.0000</math>
+
+
<math>2 C _3 C _4 = 0.0000</math>
+
+
<math>2 C _3 C _5 = 0.0000</math>
+
+
<math>2 C _4 C _5 = 0.0000</math>
+
+
Once again, the terms become very small very quickly. Because even the largest internal-reflection induced term (<math> 2 C _2 C _3 </math>) is more than an order of magnitude smaller than the needed terms, we can treat all internal reflection as error and ignore it.