Abstract

We present an analytical solution to the problem of finding a diffractive surface relief that generates a specific optical amplitude and phase spectral reflection in a particular direction. We show that any discrete finite impulse response filter can be generated to within a multiplicative constant at nonzero frequencies. We propose an implementation of such a filter that works in the visible and the near infrared, based on a two-dimensional array of dual-state tiltable mirrors. A 1024×1024 array results in a 1024-tap filter with 10-bit quantization of the impulse response. The applications of such a device include spectroscopy and wavelength-division multiplex switching.

© 2003 Optical Society of America

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Corrections

Ruslan Belikov and Olav Solgaard, "Optical wavelength filtering by diffraction from a surface relief: erratum," Opt. Lett. 28, 1055-1055 (2003)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-28-12-1055

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