numerical aperture calculator
... where λ em is the emission wavelength and NA is the numerical aperture of the objective. Calculate the numerical aperture of the system. of the fiber being used.Additionally, (and somewhat confusing) although the law of physics state the angle of incidence must equal the angle of reflection, life will get in the way when light tavels through longer fibers and fiber bundles. Now look at the figure below, which is a drawing of a typical light guide being illuminated by a projector type lamp.Angle A (29 degrees) is the acceptance angle of a N.A. This calc is accurate to ~2 significant figures. of any glass combination may be calculated as follows: (where N1= the index of refraction of the core glass), and N2=(the index of refraction of the cladding glass):For example, taking 1.62 for N1 and 1.52 for N2 , we find the NA to be .56. Also shown is a light ray entering the end of the fiber at angle (A), reflecting from the interface down the fiber. In the first illustration above, notice that angle A is shown at both the entrance and exit ends of the fiber. Known ratios, together with the light wavelength, allow spot size calculations.
of any glass combination may be calculated as follows: (where N1= the index of refraction of the core glass), and N2=(the index of refraction of the cladding glass):
Other formulas related to the critical angle at the core - cladding interface θ Therefore the object field to be viewed can be increased or reduced by increasing or reducing the working distance. In optics, the numerical aperture (NA) of an optical system is a dimensionless number that characterizes the range of angles over which the system can accept or emit light.
The angle of refraction β at the outside - core interface and angle of incidence α are related by However, if angle A becomes too great, the light will not reflect at the interface, but will leak out the side of the fiber and be lost.
If the aperture angle is very large, a strong distortion of the optics must usually be expected.Vision-Doctor.co.uk is a private, independent, non-commercial website project without customer support. of .66 will accept all of the light from the bulb, but the output cone at the other end will be 45 degrees, not the 83 degrees that you might expect. .66 fiber.Calculating the N.A. Conversely, the N.A. fiber, assuming the source is emitting light at a wide N.A..Manufacturing Standard and Custom fiber optics for Industrial, Medical, Commercial, Military and Machine Vision applications since 1977.©2020 Fiberoptics Technology Incorporated. This is not true. iScopeCalc is a microscope calculator that helps to find the optimal imaging parameters for nyquist sampling with widefield and spinning disc microscopes. fiber simply has a lower acceptance angle. Enter the refractive index of the outside n, the critical angle θ at the core - cladding interface, the angle of acceptance α This is because the fiber tends to preserve the angle of incidence during propagation of the light, causing it to exit the fiber at the same angle it entered. By incorporating index of refraction in its definition, NA has the property that it is constant for a beam as it goes from one material to another provided there is no optical power at the interface. The f-number is defined in air, but for the NA, refractiveindex is taken into account if necessary. Many authors substitute the variable a for m in the numerical aperture equation. Impurities in glass alter the propagation angle over length such that, if the fiber or fiber bundle is long enough, regardless of input angle, the emitting angle will equal the acceptance angle of the fiber in step index fibers.
All rights reserved Use our Excel Numerical aperture calculator. By incorporating index of refraction in its definition, NA has the property that it is constant for a beam as it goes from one material to another provided there is no optical power at the interface.
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