Optical unit

Optical units are dimensionless units of length used in optical microscopy. They are used to express distances in terms of the numerical aperture of the system and the wavelength of the light used for observation. Using these units allows comparison of the properties of different microscopes. For example, the diameter of the first minimum of the Airy disk is always 7.6 optical units in the image plane of a diffraction limited microscope.

Optical units are dimensionless units of length used in optical microscopy. They are used to express distances in terms of the numerical aperture of the system and the wavelength of the light used for observation. Using these units allows comparison of the properties of different microscopes. For example, the diameter of the first minimum of the Airy disk is always 7.6 optical units in the image plane of a diffraction limited microscope. v_\mathrm{radial} = \frac{2 \pi}{\lambda} \frac{n \sin \alpha}{M_\mathrm{tot}} r where: \lambda is the wavelength n \sin \alpha is the numerical aperture M_\mathrm{tot} is the total magnification Axial optical units are more complicated, as there is no simple definition of resolution in the axial direction. There are two forms of the optical unit for the axial direction. For the case of a system with high numerical aperture, the axial optical units in a distance z are given by: u_z = \frac{2 \pi}{\lambda} \frac{ (n \sin \alpha)^2}{\eta} z where: \eta is the index of refraction of the medium above the optical plane. For systems with low numerical aperture, the axial optical unit is: u_z = \frac{8 \pi \eta}{\lambda} \sin^2(\frac{\alpha}{2}) z

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