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| topic:optics:characterization:retardance [2020/09/03 16:29] – [Mueller Matrix method] samuel | topic:optics:characterization:retardance [2020/09/03 16:31] (current) – [Mueller Matrix method] Some index errors. samuel | ||
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| Also two independent input polarization states (no need to be orthogonal) allow determining the Mueller matrix as follows. | Also two independent input polarization states (no need to be orthogonal) allow determining the Mueller matrix as follows. | ||
| - | Measure $\mathbf{s}_a$ and $\mathbf{s}_b$ for two independent input polarizations. $\mathbf{s_1} = \mathbf{s_a}$ and then we can find a orthogonal vector to $\mathbf{s_1}$ and $\mathbf{s_b}$ through the cross-product. $$ \mathbf{s_2} = \mathbf{s_1} \times \mathbf{s_b} $$ | + | Measure $\mathbf{s}_a$ and $\mathbf{s}_b$ for two independent input polarizations. $\mathbf{s_1} = \mathbf{s_a}$ and then we can find a orthogonal vector to $\mathbf{s_1}$ and $\mathbf{s_b}$ through the cross-product. $$ \mathbf{s_3} = \mathbf{s_1} \times \mathbf{s_b} $$ |
| - | The third vector can then be found by using the orthogonality through $$\mathbf{s_3} = \mathbf{s_1} \times \mathbf{s_2} $$. | + | The third vector can then be found by using the orthogonality through $$\mathbf{s_2} = \mathbf{s_3} \times \mathbf{s_1} $$. |