4.4 - System Matrix
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Practice Questions
Test your understanding with targeted questions
What does the System Matrix represent?
💡 Hint: Think about how we use matrices in mathematics.
What are the components of a ray vector?
💡 Hint: Consider what defines a ray's position.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary function of the System Matrix in optical systems?
💡 Hint: Think about what you would do in optics to trace a ray.
True or False: The ray vector includes the distance traveled by the ray.
💡 Hint: Reflect on what constitutes the ray's characteristics.
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Challenge Problems
Push your limits with advanced challenges
Given a multi-lens system with two convex lenses and a distance of 15 cm between them, derive the System Matrix and determine the output ray's height assuming initial height of the ray is 5 cm.
💡 Hint: Ensure to use correct parameters for each lens in your matrices.
Consider a complex system with three different mediums. Analyze how the refractive indices influence the System Matrix and examine the final ray dispersion.
💡 Hint: The specific values of the refractive indices will impact the angles significantly.
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