By David S. Loshin OD PhD
This workbook is designed to complement optics textbooks and covers all of the conventional issues of geometrical optics. phrases, equations, definitions, and ideas are mentioned in short and defined via a chain of difficulties which are labored out in a step by step demeanour which simplifies the problem-solving approach. extra perform difficulties are supplied on the finish of every bankruptcy
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Additional resources for The Geometrical Optics Workbook
Distance (d) traveled in medium d meters time (t) = — =— = = sec velocity (v) of light in medium v meters / sec Time to travel distance (d) may also be expressed in terms of the index of refraction of the medium (n). Keep in mind the definition of the index of refraction (n = c/v): nd (c/v)d cd d t =— =*- = — = C C (2-7) V CV The term nd is referred to as the optical distance or optical path length. From Equation 2-7 it is seen that the time to travel through some medium is the optical path length divided by the speed of light in a vacuum.
Equation and then later relabeled to follow the diagram. 50, and Θ = 9j = 25°. 53°, and Θ3 becomes the new incident angle at the next interface between n^ and n^. 36° Note that this is exactly the same angle formed between the glass-water interface. This indicates that the refracted angles will be equal regardless of the direction of light. This concept is discussed in the next section. 36°, and Θ4 becomes the new incident angle at the next interface between n^ and n^. 4227) = 25° Therefore the emergent angle (Θ 4 = θ' = 25°) is equal to the incident angle.
Light is reflected normally from a water-glass interface. reflected, what is the index of the glass? 64% of the light is ANS. 72 2-9. 49? ANS. 87% reflected Snell's Law 2-10. A ray traveling in air is incident upon an interface of unknown medium at an angle of 36° from the normal. The refracted angle is half the reflected angle. What is the index of the unknown medium? ANS. 90 44 The Geometrical Optics Workbook 2-11. 33) interface at an angle of 49°, the ray emerges parallel to the interface. What is the index of the glass?