Ray transfer matrix analysis: Difference between revisions

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Matrix definition: citation needed for thermodynamics argument.
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:<math>C = \left.\frac{\theta_2}{ x_1 } \right|_{\theta_1 = 0} \qquad D = \left.\frac{\theta_2}{\theta_1 } \right|_{x_1 = 0}.</math>
 
This relates the ''ray vectors'' at the input and output planes by the ''ray transfer matrix'' (RTM) '''M''', which represents the optical component or system present between the two reference planes. A [[thermodynamics]] argument based on the [[blackbody]] radiation {{Citation needed|date=August 2023}} can be used to show that the [[determinant]] of a RTM is the ratio of the indices of refraction:
 
:<math>\det(\mathbf{M}) = AD - BC = \frac{n_1}{n_2}. </math>