The height at point P is y_p = 0 cm and the slope at point P is alpha_p - 0.15.

Question

The height at point P is y_p = 0 cm and the slope at point P is alpha_p - 0.15. Use matrix methods to trace this ray through the optical system shown above from point P to point Q. Specify the height and slope of the ray at point Q. As part of your solution, please write down explicitly the matrix for each stage of the computation. Also, please write down the system matrix and verify that its determinant is 1. If you wish, you may use your favorite software (MATLAB, Mathcad, etc.) or your calculator to do the matrix multiplication.

Explanation / Answer

RAY TRACING: To determine the actual path of individual ray of light through an optical system , each ray must be traced indepenently using only the laws of reflection and refraction together with geometry. This technique is called ray tracing.

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