Comment on “Generalized grating equation for virtually imaged phased-array spectral dispersers”

Abstract

I correct an error made by Vega et al. [Appl. Opt. 42, 4152 (2003)], who derived the spectral dispersion properties of a virtually imaged phased-array etalon using a ray-based, multibounce interference analysis. I demonstrate that the corrected dispersion law is in agreement with the results obtained by paraxial wave theory [Xiao et al., IEEE J. Quantum Electron.40, 420 (2004)].

Nano-VIPA: a miniaturized high-resolution echelle spectrometer, for the monitoring of young stars from a 6u cubesat

“…Given that the ray-based analysis applies to the VIPA [9], the resolution of the VIPA follows the same equation than that of a Fabry-Pérot : R=λ/d λ= pF , where p is the interference order and F=π √ ( R)/ 1−R ) the finesse of the VIPA : for a miniaturized instrument (small f ), the resolution of the VIPA can be much greater than the pixel-limited above.…”

Arbitrary two-dimensional spectrally encoded pattern generation—a new strategy for high-speed patterned illumination imaging

“…For VIPA, we choose a unique diffraction order m for each wavelength λ i to ensure one-to-one mapping along the y axis. This is achievable by restricting the beam-divergence angle with a suitable cylindrical lens to isolate the single dispersion order closest to the principal axis [41]. Here, we consider an input Gaussian beam with a beam diameter 2w, which is focused by a cylindrical lens (with a focal length of F ) to the VIPA as shown in Fig.…”

Two‐dimensional spectrum detection based on the imperfect virtually imaged phased array

“…The combination of the VIPA and diffraction grating can realize a 2D disperser. In the past decades, numerous researchers have been dedicated to investigate the VIPA and they put forward various theoretical models to describe its dispersion law . Shirasaki demonstrated VIPA as a large angular dispersion and put it into application to a wavelength demultiplexer by supposing it a parallel plate.…”