The efficiency of a grating in polarized light is dependent on the orientation of the plane of polarization relative to the direction of the grooves. For maximum efficiency, the grating should be oriented such that plane of polarization is oriented perpendicular (s-polarization) to the length of the grooves.

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When a master ruled grating is generated, the diamond tool does not actually remove material and cut a theoretically shaped groove. Rather, the coating is burnished by the tool. As a result, there is some displacement and deformation of the material on the short facet into the previously ruled groove every time a new groove is formed. The resulting profile will show some peak round-off, and not achieve theoretical depth. Actual groove depth is typically 90% of theoretical.

Simulate the rays and images seen from some position. The blue circle is the observer. Any rays crossing it are considered to be "observed". The observer does ...

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Absolute grating efficiency is defined as the percentage of monochromatic light diffracted in a given order compared to all of the monochromatic light incident on the grating.

The simple fact of the matter is that, except in extreme cases, the performance of a diffraction grating is primarily a function of the things that you cannot see with the naked eye. The grating efficiency is a function of the shape of the groove and the reflectance of the coating. You cannot evaluate this with the naked eye. The stray light performance is primarily a function of the micro, not macro, structure of the grating surface. You cannot see a rough groove structure, or nonspecular reflective surface with the naked eye, but it’s easy to see a small dig or light scratch.

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Digs – Digs are characterized as regular or irregular inclusions in or on the surface of the grating. They can be resident on the master grating, or introduced during the replication or coating process.

Ruling Glitches – Ruling glitches appear to be scratches that are perfectly straight and perfectly parallel to the groove direction. They appear only on ruled gratings, and are an artifact of the ruling process. During the ruling operation of the master grating, a small bit of the aluminum coating on the master blank will occasionally seize onto the diamond stylus and deform a few grooves before clearing itself from the tool. The deformed grooves are parallel all others, and are ruled at the same pitch as all others. If the deformed grooves are extremely ragged, it can be argued that they could degrade stray light performance, but their most likely affect is to simply redefine the blaze properties for those few grooves. Ruling glitches are not considered to be functional defects unless extremely excessive in quantity.

Holographic master gratings are produced by exposing a thin layer of photoresist to 2 intersecting coherent, monochromatic beams. The resulting interference pattern differentially exposes the photoresist. After development, the sinusoidal variation in light intensity during exposure is transformed into a physical structure of the same profile. The addition of a reflective overcoat completes the process.

As the angle of diffraction approaches 90 degrees, the angular dispersion increases. Decreasing the groove spacing, increasing the angle of incidence and operating in higher orders are all effective ways to increase dispersion. Any set of conditions allowable by the grating equation that increases the angle of diffraction will increase angular dispersion.

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For best efficiency, the arrow should be oriented so that the tip points back towards the source, inscribing the smallest angle possible, as shown below.

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Most holographic grating masters are generated initially with a symmetric groove profile. It is important to note that a symmetric profile holographic diffraction grating will only have symmetry in efficiency on either side of zero order when the light is incident at 0 degrees (normal incidence). This explains why some symmetric holographic gratings can achieve greater than 50% absolute efficiency in a given order, although most do not. Special techniques can be employed to give some holographic gratings an asymmetric profile, and hence, blaze properties. These gratings combine the beneficial low stray light properties of holographic grating with the high efficiency of ruled gratings.

All of Optometrics’ gratings are marked on one edge with a blaze arrow. The figure below shows a typical arrow, and its relation to the blaze angle of the grating. For best efficiency, the arrow should be oriented such that the tip of the arrow points towards the source, inscribing the smallest angle possible, as shown.

The grooves of a ruled grating have a saw tooth profile with one side longer than the other. The angle made by a groove’s longer side and the plane of the grating is the “blaze angle.” The blaze angle for a blazed grating is generally the biggest factor in determining where the efficiency curve peaks under a certain set of conditions.

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Gold (Au) – Superior performance over aluminum in the NIR region. Below 600nm the reflectance of gold falls off significantly and is a poor choice. Above 1200nm, gold offers very little advantage for a single pass application.

Of all of the topics that can be discussed relating to a diffraction grating, visual appearance is probably the most subjective, misunderstood, and maligned property one can think of. The reasons are understandable. When someone looks at a grating and sees what appears to be a flaw, the natural impulse is to imply a negative affect on performance. This may or may not be the case in theory, but is hardly ever the case in practice. A grating’s visual appearance, unless obviously grossly damaged, should never be used to assess its functionality.

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Pinholes – Pinholes in a reflection grating serve only to reduce the total amount of light available for diffraction by the ratio of their area to the total area illuminated. This is insignificant. Any light passing through a pinhole in the coating is automatically rejected from the optical path of the system.

Because no material is 100% reflective, absolute efficiency measurements will always yield a lower numerical efficiency value than a relative efficiency measurement on the same grating. Grating efficiency for a given wavelength and groove spacing is strictly a function of the groove shape and the reflectance of the coating. The optimum groove shape is then a function of the angle of incidence and order of use.

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A ray bundle, or beam of light, in which every ray is parallel to every other ray of light, which effectively originates from an infinitely small point source ...

Scratches – Scratches are characterized in the conventional sense, deformation lines running in any direction other than the direction of the grating grooves.

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Dispersion is the ability of a grating to angularly separate adjacent wavelengths of light. The higher the separation, the higher the dispersion.

Relative grating efficiency is defined as the percentage of monochromatic diffracted light in a given order compared to the reflectance of the monochromatic incident light from a mirror coated with the same material.

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Ruled blazed gratings are very efficient, and are generally the best choice for applications requiring high signal strength. Because of the mechanical nature of the mastering process however, there can be random and periodic spacing errors that could detract from the purity of the diffracted spectra.

The master gratings are produced by forming the surface of a soft metallic coating with a diamond form tool. The resulting groove profile has a well defined and controllable groove profile that directs energy efficiently into the desired wavelength range.

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Holographic master gratings generally exhibit better stray light properties than ruled master gratings. Blazing is not as easy with holographic gratings however, and with certain notable exceptions, they will not be as efficient as ruled, blazed gratings.

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20241022 — In this paper, we consider the problem of measuring the MTF of image capture devices. We analyze the factors that limit the MTF of a capture device.

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A diffraction grating is a passive optical component that redirects light incident upon the surface at an angle that is unique for every wavelength in a given order. This redirection (or diffraction) is a result of the phase change of the electromagnetic wave as it encounters the regular, fixed structure of the grating surface. Every wavelength undergoes a different phase shift, and as a result, diffracts at a different angle, resulting in a dispersion of broadband light.

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n = the order of diffractionλ = wavelength of lightd = distance between adjacent groovesi = angle of incidence with respect to grating normali’ = angle of diffraction with respect to grating normal

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Protected Aluminum (Al) – Aluminum coat with a thin overcoat of magnesium flouride (MgF2) which prevents the formation of aluminum oxide which is absorbing in deep UV. It provides no benefit over bare aluminum for gratings used in VIS and IR.

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