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Note that when this definition is used, the connection between the numerical aperture and the acceptance angle of the fiber becomes only an approximation. In particular, "NA" defined this way is not relevant for single-mode fiber. [7] [8] One cannot define an acceptance angle for single-mode fiber based on the indices of refraction alone.
The angular aperture of a thin lens with focal point at F and an aperture of diameter . The angular aperture of a lens is the angular size of the lens aperture as seen from the focal point: where. f {\displaystyle f} is the focal length.
The numerical aperture of a multimode optical fiber is a function of the indices of refraction of the cladding and the core: Diagram showing how the light refracts at the core/cladding interface. With the angle of refraction being dependent upon the difference in index of refraction, n, of core and cladding.
Here NA is the numerical aperture, is half the included angle of the lens, which depends on the diameter of the lens and its focal length, is the refractive index of the medium between the lens and the specimen, and is the wavelength of light illuminating or emanating from (in the case of fluorescence microscopy) the sample.
The ability to resolve features in optical lithography is directly related to the numerical aperture of the imaging equipment, the numerical aperture being the sine of the maximum refraction angle multiplied by the refractive index of the medium through which the light travels. The lenses in the highest resolution "dry" photolithography ...
Memorial in Jena, Germany to Ernst Karl Abbe, who approximated the diffraction limit of a microscope as = , where d is the resolvable feature size, λ is the wavelength of light, n is the index of refraction of the medium being imaged in, and θ (depicted as α in the inscription) is the half-angle subtended by the optical objective lens (representing the numerical aperture).
The numerical aperture of a Gaussian beam is defined to be NA = n sin θ, where n is the index of refraction of the medium through which the beam propagates. This means that the Rayleigh range is related to the numerical aperture by z R = n w 0 N A . {\displaystyle z_{\mathrm {R} }={\frac {nw_{0}}{\mathrm {NA} }}.}
Acceptance angle may refer to: Half of the angular aperture of an optical system. Acceptance angle (optical fiber), the angle in an optical fiber below which rays are guided rays. Acceptance angle (solar concentrator)