The duality between the axial irradiance distribution originated by any circularly symmetric diffracting aperture under monochromatic illumination and its diffracted spectral intensity at a fixed on-axis point under broadband illumination is highlighted and experimentally investigated. Two applications are derived from this basic result. On the one hand, we suggest the use of a broadband source and a spectrometer for a single-shot measurement of the axial response of pupil filters. Second, we implement a spectral filter having a transmission spectrum with a fractal structure of frequencies. Experimental results and potential applications in synthetic spectra designs are provided.
© 2009 Optical Society of America
Original Manuscript: November 3, 2008
Manuscript Accepted: December 24, 2008
Published: February 19, 2009
Omel Mendoza-Yero, Gladys Mínguez-Vega, Mercedes Fernández-Alonso, Jesús Lancis, Enrique Tajahuerce, Vicent Climent, and Juan A. Monsoriu, "Optical filters with fractal transmission spectra based on diffractive optics," Opt. Lett. 34, 560-562 (2009)