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MATRICES: PARAXIAL OPTICS - Coggle Diagram
MATRICES: PARAXIAL OPTICS
Cardinal points and cardinal planes
First and second nodal points and nodal planes
All the distances that are directed to the left are negative (‐) and directed to the right
are positive (+) by the sign convention
Basic equations for thick lens
Location of the principal planes:
Positions of the nodal points:
Image and object distances:
Lateral magnification:
Usual thin lens equation:
Matrix methods
A ray is defined by its height and its direction (the angle it makes with the optical axis.
We can express y7 and a7 with y1 and a1 multiplied by the transfer matrix of the system.
Translational matrix
Refraction matrix
Reflection matrix
General Ray-transfer matrix
4.1 Thick lens:
4.2 Thin lens:
Location of cardinal points
Input and output planes define limits of an optical system.
F1 and F2 are at f1 and f2 from the principal points.
F1 and F2 are at p and q from the reference input and output planes.
Ray tracing
Ray tracing is following the actual path of each ray through the system using laws of refraction and reflection.
Meridional rays are the rays that pass through the optical axis of the system.
