Matrix_Optics - Matrix Optics cfw_or how to manage the...

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Matrix Optics {or how to manage the algebra} Define a ray Ray is defined as starting at a reference plane RP, along the Z axis Height Y 1 and Angle Θ 1 Index of refraction is positive if ray is traveling in positive Z direction Vector form = Z Θ 1 Y 1 Θ 1 1 Y Y
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Use 2x2 Matrix to represent transformation of ray. After a ray passes through a interface or travels some distance there is a new height and angle. This is very convenient because we can cascade matrices together to represent each optical element of an optical system. • After multiplying the matrices a single matrix results 1 1 2 Θ * B Y * A Y + = 1 1 2 Θ * D Y * C Θ + = = 1 1 1 2 3 4 2 2 Θ Y * D C B A * D C B A * D C B A * D C B A Θ Y = 1 1 2 2 Θ Y * D C B A Θ Y Snell’s Law With paraxial approximation •n 1 Sin( Θ 1 )=n 2 Sin( Θ 2
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Matrix_Optics - Matrix Optics cfw_or how to manage the...

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