lecture 4 - The law of reflection 1 = 1 The law of...

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1 The law of reflection: 1 1 θ θ = The law of refraction: 2 2 1 1 sin sin n n θ θ = Snell’s Law Image formation
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2 Ray Optics - Applications: Image Formation Chapter 23
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3 object real image virtual image Images are always located by extending diverging rays back to a point at which they intersect Images are located either at a point from which the rays of light actually diverge or at a point from which they appear to diverge To find the image it is usually enough to find intersection of just two rays! Magnification = image height object height
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4 Flat Refracting Surface 1 θ 2 θ 2 2 1 1 sin sin n n θ θ = Snell’s Law d 2 2 sin d q θ θ 1 1 sin d p θ θ 2 1 d d n n q p = 2 1 n q p n = Image is always virtual
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5 Flat mirror Chapter 23
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6 One ray starts at point P , travels to Q and reflects back on itself Another ray follows the path PR and reflects according to the law of reflection The triangles PQR and P’QR are congruent . - magnification is 1. Flat Mirror The law of reflection θ h h = always virtual image
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7 Geometric Optics - Applications: Thin Lenses Chapter 36
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8 Thin Lenses “Thin” means that the width is much smaller than the radius of curvature
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9 Thin Lenses s s ? s = 1 1 1 s s f + = Thin Lens Equation: Object Distance Image Distance Focal Length The thin lens is characterized only by one parameter – FOCAL LENGTH .
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10 Thin Lenses: Focal Length ? f = 1 2 1 1 1 ( 1) n f R R = - - n + - Strategy of Finding f : Define positive and negative sides - usually the left side (the side where the object is) is defined as a positive You are going from the positive side, then the first lens surface is defined as surface “1” with the radius of curvature and the center of curvature at point Sign rule: if is in the positive “side” if is in the negative “side” The same for the second surface: if
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