A diffraction grating is an optical element that divides(disperses) light composed of lots of different wavelengths(e.g., white light) into light components by wavelength. The simplest type of grating is one with a large number of evenly spaced parallel slits. When white light enters the grating, the light components are diffracted at angles that are determined by the respective wavelengths(diffraction). Picking out diffracted (reinforced) light makes it possible to select the required light component. In short, for parallel beams that enter neighboring slits as shown in Fig. 1, light is reinforced when the optical path difference is a multiple of the wavelength. The light from all the slits is reinforced in the same way to produce "diffracted light."

Here, D is called the "reciprocal linear dispersion" and represents the difference in wavelength per unit length on the surface of the exit slit in the optical system. Multiplying D by the slit width gives an indication of the wavelength resolution.

Fraunhoferdiffraction

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Grating

A light bulb is placed 10 cm from a plane mirror, which faces a convex mirror of radius of curvature \(8 \mathrm{cm}\) The plane mirror is located at a distance of \(30 \mathrm{cm}\) from the vertex of the convex mirror. Find the location of two images in the convex mirror. Are there other images? If so, where are they located?

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An object is located in water \(30 \mathrm{cm}\) from the vertex of a convex surface made of Plexiglas with a radius of curvature of \(80 \mathrm{cm} .\) Where does the image form by refraction and what is its magnification? \(n_{\text {water }}=4 / 3\) and \(n_{\text {Plexiglas }}=1.65\)

Echellegrating

Polarization states are mapped to the Poincaré sphere using an approach similar to the system of latitude and longitude used to locate points on the Earth's ...

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Devise an arrangement of mirrors allowing you to see the back of your head. What is the minimum number of mirrors needed for this task?

Blazedgrating

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Here, dβ/dλ is called the "angular dispersion" and can be used to obtain the change in diffraction angle dβcorresponding to a change in wavelength dλ. Multiplying both sides of equation (3) by the focal distance ƒ for the optical systems gives the following:

Diffraction grating

Jul 13, 2019 — Spectrally Resolved White Light Interferometry. Another system based on white light interference forms spectrally resolved fringes from a chosen ...

diffractiongrating中文

d : Spacing between the slits (the grating period) N : Number of slits per mm (the groove density, equal to the reciprocal of the grating period)  m : Order of diffraction (m = 0, ± 1, ± 2,...)  λ : Wavelength It can be seen from this relationship that all components of light corresponding to m = 0 (zero-order light) are radiated in a straight line and so it is not possible to separate the wavelengths with this order. It can also be seen that for m â‰  0 the diffraction angle ÃŸ is different for each wavelength. This is why gratings can be used to separate white light into its constituent wavelengths. The diffraction angle ÃŸ also varies with the groove density N and the incident angle Î±. One point requiring consideration is that, depending on the groove density N, it may not be possible to obtain diffracted light. For example, if the incident angle Î± = 30° and the groove density N = 2400 grooves/mm, applying the equation to first-order light (i.e., m = +1) with a wavelength λ of 700nm gives sin ÃŸ = 1.18, then diffracted light cannot be obtained in this case.

Diffraction gratingexperiment

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As shown in Fig.1-1 and Fig.1-2, α is the angle between the incident light and the normal to the grating (the incident angle) and ÃŸ is the angle between the diffracted light and the normal to the grating (the diffraction angle), then, they satisfy the following relationship: as shown in Fig.1-1, in case of transmission grating

Diffraction gratingformula

The way in which the diffraction angle Î»Î² behaves when light composed of different wavelengths is directed at a grating is an important point when considering the separation of light into its components. If the incident angle Î± is regarded as a constant, differentiating both sides of equation (2) with respect to λ gives the following:

What is the magnification of a magnifying lens with a focal length of \(10 \mathrm{cm}\) if it is held \(3.0 \mathrm{cm}\) from the eye and the object is \(12 \mathrm{cm}\) from the eye?

by R Paschotta · Cited by 2 — In the simplest case, a light beam is linearly polarized, which means that the electric field oscillates in a certain linear direction perpendicular to the beam ...

What is the focal length of a magnifying glass that produces a magnification of 3.00 when held \(5.00 \mathrm{cm}\) from an object, such as a rare coin?

Oct 4, 2023 — Depth of field, sometimes written as DoF, is the amount of distance that is reasonably in focus. It's the range of area that is acceptably sharp ...