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PP/JAI Web>Simulation>PythonOptics>PythonOpticsRayTracing (21 Nov 2013, RobAinsworth)

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Ray tracing

Optics in 3D

Snell's law

In 1-d

$\begin{equation*} n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \end{equation*}$

(1)

Reflection law

$\begin{equation*} \theta_1 = \theta_2 \end{equation*}$

(2)

General objects

Vector equation of line

$\begin{equation*} {\bf v}_l = {\bf v}_{l0} + \lambda {\bf n}_l \end{equation*}$

(3)

Intersections

Line-Line

Line-plane

Line-plane

Line-sphere

Sphere is given by

$\begin{equation*} \left({\bf v-c}\right)\cdot\left({\bf v-c}\right) = R^2 \end{equation*}$

(4)

Line-parabola

Line-hyperbola

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Topic revision: r8 - 21 Nov 2013 - RobAinsworth

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