This paper presents a derivation of the response of a simple grating spectrometer to a plane wave that is modulated in both phase and amplitude by arbitrary functions. The spectrometer is characterized by its familiar frequency-domain response and by its less familiar time-domain response. It is found that the time-domain characterization is a useful form for studying the response of a spectrometer to a modulated plane wave. The quasi-static response for low modulation rates is clearly revealed by the time-domain characterization. Furthermore, the response of the first moment of the light intensity in the focal plane of the spectrometer can be derived easily from the time-domain characterization.
The technique described here is used to compute the time-domain response of a spectrometer to a plane wave with a linearly sweeping frequency.
© 1966 Optical Society of AmericaFull Article | PDF Article
OSA Recommended Articles
Cédric Blanchard, Bae-Ian Wu, Jorge Andrés Portí, Hongsheng Chen, Baile Zhang, Juan Antonio Morente, and Alfonso Salinas
J. Opt. Soc. Am. B 26(11) 2117-2124 (2009)
J. Richard Kerr
J. Opt. Soc. Am. 57(10) 1210-1216 (1967)
Shaul Mukamel and Roger F. Loring
J. Opt. Soc. Am. B 3(4) 595-606 (1986)