Undergrad Collimating an extended source to infinity?

  • Thread starter Thread starter nikosb
  • Start date Start date
  • Tags Tags
    Infinity Source
Click For Summary
Collimating an extended source, such as a cell phone, to infinity is challenging due to the nature of extended sources, which consist of multiple points rather than a single point source. The setup described involves using lenses with different focal lengths, but the resulting virtual image appears blurry and not at infinity, suggesting that the configuration is not optimal for true collimation. The interaction between the eye's optical system and the lens affects the perceived location and clarity of the virtual image. Additionally, the distance between the eye and the lens plays a crucial role in the magnification and clarity of the image. Understanding the limitations of extended sources is essential for achieving effective collimation.
nikosb
Messages
29
Reaction score
1
I need to collimate an extended source (for example a cell phone) to infinity or as far as possible. I show an illustration below

YgX7JmP.png


The collimator lens is about 2cm from the eye and the extended source is about 60cm from the eye. My understanding is that a collimator lens with a focal length of 60cm (58cm in this case) would do the job. I have some double convex lenses with focal length of 50cm and 100cm. I experimented with them by placing the extended source at the corresponding focal length and then looking though the lenses with one eye and the other eye closed. In general the virtual image appears a little larger but also a little blurry. However I did not get the sensation that the virtual image was located at infinity or anywhere close to infinity. I felt that the virtual image was only slightly farther out proportional to the amount of magnification. For example, if the image was magnified by 1.3 times (it appeared about 1.3 times larger when looking through the lens compared to when looking without the lens) the location of the virtual image was 1.3 times father out. This seems to be consistent with the mathematic of the lens equations (https://www.physicsclassroom.com/class/refrn/Lesson-5/The-Mathematics-of-Lenses):
M = hi/ho = di/do

Can I collimate an extended source as shown above and if yes will the collimated image be at infinity? If the above setup is correct then why do me eye doesn't get the sensation that the virtual image is located at infinity?
 

Attachments

  • YgX7JmP.png
    YgX7JmP.png
    5.7 KB · Views: 1,280
Physics news on Phys.org
How is a 3cm x 5cm phone LCD display an extended source?
 
I thought in optics there are two sources, a point source and an extended source. A point source is single point while an extended source is a collection of points. The phone being larger than a single point (a collection of pixels that emit light, each pixel being a point source itself) would be an extended source, correct?
 
  • Like
Likes berkeman
That makes sense and it's how 'reading' spectacles are designed. The problem is with the distance between the eye's lens and the correcting lens because the two together constitute a compound lens. I am basically myopic and the images I see in my specs is reduced in size (they are concave lenses of course) so it's not surprising that a convex lens will tend to magnify the image. You could try placing your lens as close as possible to the eye of the observer and see how much the magnification is reduced. OR . . . . use a smaller image in the cell phone screen, zoomable to suit the observer, perhaps.
 
nikosb said:
I need to collimate an extended source (for example a cell phone) to infinity or as far as possible. <snip>

Can I collimate an extended source as shown above and if yes will the collimated image be at infinity? If the above setup is correct then why do me eye doesn't get the sensation that the virtual image is located at infinity?

I don't understand what you are trying to do. If your source is extended, placing it the rear focal plane of a lens will not generate a single plane wave, which is usually what 'collimated' means. As for why it 'looks' the way it does, don't forget your eye is also an optical system- not just a retinal sensor.
 
  • Like
Likes sophiecentaur
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

Similar threads

  • · Replies 2 ·
Replies
2
Views
5K
Replies
16
Views
29K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
58
Views
8K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
3
Views
2K