6533b827fe1ef96bd1285c89

RESEARCH PRODUCT

White-light optical implementation of the fractional fourier transform with adjustable order control.

Pedro AndrésWalter D. FurlanEnrique TajahuerceEnrique E. SicreGenaro Saavedra

subject

Physicsbusiness.industryMaterials Science (miscellaneous)Short-time Fourier transformPhysics::OpticsDiffraction efficiencySignalIndustrial and Manufacturing EngineeringFractional Fourier transformDiscrete Fourier transformOptical axissymbols.namesakeOpticsFourier analysissymbolsBusiness and International ManagementbusinessFresnel diffraction

description

An optical implementation of the fractional Fourier transform (FRT) with broadband illumination is proposed by use of a single imaging element, namely, a blazed diffractive lens. The setup displays an achromatized version of the FRT of order P of any two-dimensional input function. This fractional order can be tuned continuously by shifting of the input along the optical axis. Our compact and flexible configuration is tested with a chirplike input signal, and the good experimental results obtained support the theory.

10.1364/ao.39.000238https://pubmed.ncbi.nlm.nih.gov/18337891