Why are images formed when rays intersect?

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Discussion Overview

The discussion revolves around the formation of images when light rays intersect, particularly in the context of reflection and refraction through mirrors and lenses. Participants explore the underlying principles of image formation, including the behavior of light rays and the conditions necessary for clear image representation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that the intersection of light rays from an object, when reflected or refracted, leads to the formation of an image at a specific point along the principal axis, but expresses confusion about the mechanism behind this phenomenon.
  • Another participant explains that for an image to form, light from a single point on an object must converge to a single point on the focal plane, and discusses how aberrations can lead to blurred images due to overlapping light from different points.
  • A different viewpoint suggests that rays from a diverging object create an illusion of an image when they appear to converge at a point, emphasizing that while many rays contribute to the image, only two intersecting rays are necessary to define its position.
  • A participant acknowledges understanding from a previous explanation but questions whether this implies the existence of infinite images, indicating uncertainty about the definition of an image.
  • Another participant expresses a preference for the idea of a single image being formed from multiple points being focused on the focal plane, suggesting a different interpretation of image formation.

Areas of Agreement / Disagreement

Participants express differing views on the nature of image formation, with some suggesting the possibility of multiple images and others advocating for the concept of a single image formed from various points. The discussion remains unresolved regarding the technical definition of an image and the implications of ray intersections.

Contextual Notes

There are limitations in the discussion regarding the definitions of terms like "image" and the conditions under which images are formed, as well as the impact of optical quality on image clarity. These aspects are not fully explored or agreed upon.

Prannoy Mehta
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In most (perhaps all) books it was mentioned that intersection of the light from the object when reflected by the mirror or refracted by a lens intersect at a particular point. That point when traced till the principal axis gives the image. (Provided object lies on the axis). I do not understand why is there a image formed when two (refracted/reflected) rays intersect.
 
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In order to form an image, the light emitted from any single point on an object needs to be focused down to a single point on the focal plane (note that the focal point is actually an entire focal plane, with points from off the axis being focused down to their own focal points also off the axis). If the light rays are spread out when they should be intersecting, as is the case with poor quality optics or aberrations in your eye, the resulting image becomes blurred because light from one point on an object intersects with light rays from a different point on the object when the light reaches the focal plane. If one of these two points was supposed to be dark, then the light from the other point has the effect of lightning the first point, perhaps so much so that the contrast between the two points is completely erased. If one point was a different color than the other, then you have multiple colors overlapping and you lose color detail. Mix both of these together and you get a blurry image with little to no contrast. If bad enough, you have failed to form a recognizable image.
 
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I think you want a lower level explanation.
The rays from an object are diverging and when they enter our eye we can see the object. When the rays from a point object after reflection or reflection meets at a point or appear to come from a point other then object and enters eye that give an illusion that the object is at that point. This illusion is called an image. Actually all the rays after reflection or refraction are passing through the image point but as only two intersecting lines are sufficient to define the position of a point, we trace only two rays to get the position of image. All other rays will also pass through the same point.
 
I understood Drakkith's explanation Mukundpa. Thank you for the assistance :)

Drakkith, your explanation implies that there are infinite number of images formed. Is it right ?
 
Prannoy Mehta said:
Drakkith, your explanation implies that there are infinite number of images formed. Is it right ?

I'm not sure what the technical definition of an image is, but I like to think of there being only a single image that is formed when rays from many different points in front of the optical system are focused down to their appropriate spots on the focal plane.
 

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