Diffraction grating formula

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Fraunhofer diffraction

An optical (also diffraction) grating is an optical element with a regular pattern that divides (bends) light into several beams propagating in different directions. The directions of light propagation depend on the spacing of the grating elements and the wavelength of the light, so the optical grating can serve as a dispersive element to decompose light into wavelengths.

Wasatch Photonics is one of the industry’s leading suppliers of precision diffraction gratings for various optical systems. We appreciate the challenges of selecting the right optics for your application, and welcome the opportunity to design a grating to your specific needs. If you are looking for a new solution, why not contact us today to explore the possibilities?

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Diffraction grating

But we can extend the different types of diffraction gratings further to discuss the new and emerging manufacturing techniques for holographic gratings. Etched-in relief gratings comprised of fused silica and volume phase holographic (VPH) diffraction gratings, for instance, are two radically different design paradigms for modern optical systems. While both offer significantly higher efficiency than ruled gratings, VPH grating technology offers the optical engineer more design options to achieve the desired efficiency profile.

An example of diffraction on a grating in nature can be the iridescent colors of peacock feathers, mother of pearl, butterfly wings, beetle shells, etc. The reason is the very fine structures that break up the light into colors on their regular pattern.

Blazed grating

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Echelle grating

Common pressed CDs and DVDs are an everyday example of a diffraction grating and can be used to demonstrate an optical grating, for example by reflecting sunlight on a white wall.

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There are many types of diffraction gratings, which can make the selection process tricky. This article is intended to act as a brief primer on the different types of diffraction gratings to help you select the right one for your application needs.

Diffraction gratings are widely used optical components featuring periodic structures that allow dispersion of light in a more compact, convenient format than a prism. They operate on the principle of interference to split multi-spectral light into its constituent wavelengths and, like a prism, disperse them spatially through a range of angles. The most common type of grating structure uses numerous parallel rulings on a surface in a manner similar to a series of slits, resulting in a superposition of waves that diffract light by wavelength, effectively separating it into its colors. This is not the only fundamental design type of diffraction grating, but it has become the widely-used standard for many applications.

Holographic grating

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Gratings alter the phase of reflected or transmitted light based on their unique structural properties. A conventional surface relief grating is engineered by ruling a substrate material with equally-spaced grooves, creating the popular and easily recognizable ‘blazed’ surface. This is an expensive and time-consuming design process that may require multiple test gratings to be fabricated via diamond tooling before the final component is produced via replication. Ruled gratings also suffer from fairly high light scattering. Once manufactured, a ruled grating must be handled with care, as it cannot be cleaned without significant risk of damage. Dust, fingerprints, or other contamination adds to the inherent scatter of the grating over time.

Transmission grating

Holographic gratings are designed to eliminate many of the errors associated with conventional surface relief components. Briefly, they are engineered by selectively exposing a substrate or photoreactive material on the substrate to a laser generated optical interference pattern of outstanding uniformity. This action then ‘writes’ a periodic structure into the chosen medium. Holography is now the gold-standard manufacturing technique for diffraction gratings. Learn more about the advantages of VPH gratings.

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Reflection or transmission is one of the most fundamental distinctions in diffraction grating terminology. Essentially, a reflection grating diffracts light back into the plane of incidence while transmission gratings transmit dispersed light through. Due to the ability to better compensate for aberrations, optical systems made with transmission gratings have comparatively low alignment sensitivity, which can be a significant benefit for applications where minute alignment errors or temperature changes could wreak havoc on results. Consequently, transmission gratings are preferred over reflective components for many OEM applications.

Diffraction gratings are often used in instruments such as monochromators, spectrometers, lasers, and many other optical instruments.

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