The Fourier transforming property of such a system is derived in many textbooks, for instance ref. This configuration is commonly known as a '2f' system.
#2f system lens fourier free#
Since most of the reports barely describe the methodology on this regard, it is important that future works include detailed information about the implementation criteria of the FrFT. It is well known that the Fourier transform of a coherent optical field at the front focal plane of a lens is rendered at the back focal plane, as shown in Fig. prototypical schemes involves a positive lens of focal length f sandwiched between two stretches of free space of length feach (fig. Establishing adequate solutions for these tasks requires a proper fractional order estimation and implementing the suitable numeric approach for the discrete FrFT calculation. As the literature review indicates, common applications of the FrFT involves signal detection, filtering and features extraction. Thus, the FrFT-based solutions can be formulated, aiming to enhance the health technology. Most biomedical signals are an example of such non-stationarity. From figure 1 above we see that the spacing of the observed diffraction pattern projected by the lens is proportional to the wavelength of light (electrons for a magnetic lens). The FrFT is a time-frequency analysis tool that has been used for signal and image processing due to its capability in capturing the non-stationary characteristics of real signals. The lens has a diameter D and a focal length f. This work presents a literature review of the fractional Fourier transform (FrFT) investigations and applications in the biomedical field.
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