What is the relationship between numerical aperture and resolution in lenses?

In summary, the numerical aperture (NA) of a lens is a measure of its ability to collect light and resolve fine details in an object, and is commonly used in fiber optics and microscopy. The NA is determined by the lens diameter, focal length, material, and shape, and a higher NA leads to higher resolution and brightness. Two lenses with the same diameter but different NAs can have different focal lengths. When parallel rays enter two lenses with the same diameter but different NAs, they will be focused at different distances. For more information on the aperture and resolution, refer to sections 19, 20, and 23 on the website coinimaging.com/photo_articles.html."
  • #1
fog37
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Hello Forum,

The numerical aperture NA of a lens is usually a parameter (adimensional) that indicates the lens ability to collect light. The concept of NA is usually introduced in fiber optics where we are concern with launching light into the fiber. But NA is also discussed in microscopy when dealing with resolution.

Let's consider a simple spherical lens of diameter D and focal length f and place an object at a predetermined distance from the lens. The NA of that lens is a measure of its ability to gather light and resolve fine details in the object.

So the larger NA the higher the resolution and the brightness of the image, correct?
Higher values of numerical aperture allow increasingly oblique rays to enter the front lens and produce a highly resolved image.

So image resolution depends on the diameter D of the lens, the material the lens is made of (its index of refraction) and shape.

Two spherical lenses made out of the same material, with the same size (i.e. the same diameter D) can have different focal lengths f hence different NAs correct? The focal length of lens is determined by the lens surfaces shapes and material...

If a bundle of parallel rays enters two spherical converging lenses with the same diameter D but different NA, what happens to the bundle of rays? Do they get focused at different distances? In the case of parallel input rays there is no need to discuss the light gathering capability of the lenses...

Thanks,
fog37
 
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  • #2
have a look at this site
http://coinimaging.com/photo_articles.html

in particular these 3 sections :smile:

19: The aperture and resolution
20: The aperture and resolution - Graphical
23: Numerical aperture

cheers
Dave
 

1. What is the numerical aperture (NA) of a lens?

The numerical aperture of a lens is a measure of the ability of the lens to gather and focus light. It is defined as the sine of the maximum angle of light that can enter the lens and still be focused to a point on the image plane.

2. How is the numerical aperture of a lens calculated?

The numerical aperture of a lens is calculated by dividing the refractive index of the medium in which the lens is located by the distance from the lens to the focal point.

3. What is the relationship between numerical aperture and resolution?

A higher numerical aperture generally results in better resolution, as a larger NA allows for a smaller focused spot size, resulting in finer detail in the image. However, other factors such as lens quality and lighting conditions also play a role in resolution.

4. Can the numerical aperture of a lens be changed?

The numerical aperture of a lens is a physical property and cannot be changed. However, by using different techniques such as immersion microscopy or using different lenses with varying NA, the effective numerical aperture can be altered.

5. How does the numerical aperture of a lens affect depth of field?

A higher numerical aperture results in a shallower depth of field, meaning that only a small portion of the specimen will be in focus at a time. Conversely, a lower numerical aperture results in a deeper depth of field, allowing more of the specimen to be in focus at once.

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