Intro to geometric optics 2 - Lecture 14 Introduction to...

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Physics 102: Lecture 16, Slide 1 Today’s lecture will cover Textbook Chapter 23 Lecture 14: Introduction to Geometric Optics (continue) Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 2 Images in Spherical Mirrors Mirror Equation Today... Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 3 Images in Spherical Mirrors (Object is outside the focal length) Any ray parallel to the principal axis will pass through the focal point! Now we need to look at more rays leaving the same point on the object Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 4 Images in Spherical Mirrors Any ray from the object passing through the focal point will emerge parallel to the principal axis!! Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 5 Images in Spherical Mirrors Any ray striking the mirror at right angles will reflect straight back and will pass through the center of curvature!! Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 6 Images in Spherical Mirrors Now we want to derive an equation that will express the observations we have just made Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 7 Images in Spherical Mirrors The image and object distances are d i and d o The image and object heights are h i and h o Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 8 Images in Spherical Mirrors The right triangles I’AI and O’AO are similar (angles the same) Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 9 Images in Spherical Mirrors i i o d d h h 0 = Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 10 Images in Spherical Mirrors Triangles O’FO and AFB are similar AB ≈ h i and FA = f (focal length) Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 11 Images in Spherical Mirrors h o h i = OF FA = d o - f f Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 12 Images in Spherical Mirrors i o o i o d d f f d h h = - = Physics 113 Dr. Renat Letfullin f d d i o 1 1 1 = +
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Physics 102: Lecture 16, Slide 13 Images in Spherical Mirrors o i o i d d h h m - = = Physics 113 Dr. Renat Letfullin down upside means sign Minus
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Physics 102: Lecture 16, Slide 14 Images in Spherical Mirrors (Object is inside of focal length) Image is upright and virtual!
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