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Although N.A. determines the resolution of a lens, diffraction also plays a role in what can be resolved. Diffraction is a phenomenon that causes light to spread out like a wave. This property prevents even the most high-resolution lens from being able to gather focus to a single point source, making the focal point more of a disk. The smallest-size light disk that can be resolved is known as an Airy disk, and its radius is expressed by the formula below.

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The value from this formula is resolution. According to this equation, the larger the numerical aperture (N.A.), the smaller the radius of the Airy disk. Therefore, a lens with a larger N.A. will be able to resolve smaller features, resulting in a sharper image.

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n: refractive index of observation medium [e.g. n(air) = 1]θ: angle between the optical axis and the light at the outermost of the effective diameter of the lens

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Numerical aperture, or N.A., is a value that indicates the resolving power of a lens and is defined by the equation below.

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