1. In this problem, you will determine the finest detail that the human eye can discern at a set distance. Assume the pinhole camera model in figure 2.3 of the text (reproduced below) where the distance between the pinhole and the retina along the visual axis is 17mm. Assume that the density of cones in the fovea is 150,000 elements per mm? and that the cones are arranged in a grid with no spacing between them. FIGURE 2.3 Graphical representation of the eye looking at a palm tree. Point C is the optical center of the lens. 15 m 100 m -17 mm- Suppose you are looking at a scene with alternating black and white lines of equal width. Assume that you are able to discern the individual lines up to the point where the image of a line on your retina is smaller than a single cone. That is, when the image of a line is smaller than a cone, you can no longer tell it apart from an adjacent line. Calculate the width of the smallest line you can discern when the scene is: a) 0.2 meters from your eye (from the pinhole). (Note, due some simplifying assumptions, you will probably get a result which seems smaller than you expect.) b) 100 meters from your eye.
Ray Optics
Optics is the study of light in the field of physics. It refers to the study and properties of light. Optical phenomena can be classified into three categories: ray optics, wave optics, and quantum optics. Geometrical optics, also known as ray optics, is an optics model that explains light propagation using rays. In an optical device, a ray is a direction along which light energy is transmitted from one point to another. Geometric optics assumes that waves (rays) move in straight lines before they reach a surface. When a ray collides with a surface, it can bounce back (reflect) or bend (refract), but it continues in a straight line. The laws of reflection and refraction are the fundamental laws of geometrical optics. Light is an electromagnetic wave with a wavelength that falls within the visible spectrum.
Converging Lens
Converging lens, also known as a convex lens, is thinner at the upper and lower edges and thicker at the center. The edges are curved outwards. This lens can converge a beam of parallel rays of light that is coming from outside and focus it on a point on the other side of the lens.
Plano-Convex Lens
To understand the topic well we will first break down the name of the topic, ‘Plano Convex lens’ into three separate words and look at them individually.
Lateral Magnification
In very simple terms, the same object can be viewed in enlarged versions of itself, which we call magnification. To rephrase, magnification is the ability to enlarge the image of an object without physically altering its dimensions and structure. This process is mainly done to get an even more detailed view of the object by scaling up the image. A lot of daily life examples for this can be the use of magnifying glasses, projectors, and microscopes in laboratories. This plays a vital role in the fields of research and development and to some extent even our daily lives; our daily activity of magnifying images and texts on our mobile screen for a better look is nothing other than magnification.
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