Lenses are the main element of optical systems such as telescopes, microscopes and binoculars. They can have different properties, such as positive or negative focal length, as well as an aspherical shape. One of the lenses, which has special properties, is called a collective or positive lens. It has a focal length that is closer to its surface compared to other lenses. Accordingly, it can collect light at one point, which is used in telescopes. This is possible due to the fact that the light passing through the lens, reflected from its surface, passes through it along a curved path, which creates an increase in light and its focusing.
The use of collecting lenses in optical systems is most widespread in astronomical and medical research. In astronomy, the use of a positive lens makes it possible to increase the size of distant objects (for example, the Moon). Also, some special telescopes, such as those of the 20th century, used converging lenses to enhance the image of a distant object by concentrating light where the image is formed. In medicine, the use of collective lenses is also common. For example, an ophthalmoscope, a type of ophthalmoscopy, uses a positive lens to dilate the pupil and improve visibility of the retina.
As an example, we can consider telescopic optics. They also use lens systems that have their own characteristics, the main ones being focal length, magnification and image quality created by them. To produce such lenses, it is necessary not only to correctly calculate their physical parameters, but also to take into account compliance with rules such as isotopic conservation, and much more. One of the important rules