Volume-Phase Holographic (VPH) gratings provide unique capabilities over classical surface gratings which can be exploited in modern astronomical spectrographs. The peak diffraction efficiency of a VPH grating is tunable due to the nature of Bragg diffraction. This allows a single dispersing element to serve the function of several classical gratings. Additionally, VPH grating structures can be stacked to produce complex gratings capable of directing the diffracted light in ways that classical gratings can not.
INTRODUCTIONA VPH grating diffracts light through the mechanism of Bragg diffraction inside a volume in which periodic modulation of the refractive index forms the grating structure. The intersection of these modulations with the surface of the element form a surface grating that disperses the light according to the classical grating equation. The energy envelope of the diffracted light is, however, controlled by the fringe modulation frequency and its orientation within the grating medium and provides peak diffraction efficiency at the wavelength that meets the Bragg condition. For a grating with fringes normal to its surface, the Bragg condition is given by mνλ = 2n sin(α) (1) where m is the Bragg order, ν is the fringe frequency, λ is the wavelength of light, n is the refractive index of the grating medium, and α is the diffraction angle within the grating medium.