The synthesis of a narrow band, wide angular aperture 1D grating filter exhibiting close to 100% reflection of a focused beam is developed analytically on the basis of a phenomenological coupled wave representation.
Narrow band resonant reflection of a polarized focused beam from a single-crystal silicon grid is demonstrated at terahertz frequencies with an efficiency close to 100 %. A spectral width of less than 7 μm at a resonance wavelength of 570 μm is achieved with a 4 mm-waist beam which overlaps with only ~10 grid periods. This compact reflection filter is a scale model of what can be expected at optical frequencies, but also represents a new type of compact terahertz device.
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