Abstract
A modified Fibonacci Pearcey zone plate (MFiPZP) is designed to produce two foci with long focal depths and the golden mean. Compared with the conventional circular Pearcey beam, the binary MFiPZP has the two axial foci. When the focal length of the modified circular Pearcey beam has the smaller value, the number of the transmittance zones of the MFiPZP is more and the bifocal position ratio is closer to the golden mean. If the exponent and modulation parameter of the Pearcey function are the appropriate fractions, the MFiPZP has the two foci with longer focal depths. It is proved experimentally and numerically that the MFiPZP generates the two foci carrying the long focal depths, and achieves extended bifocal depth imaging. The proposed zone plates can be used for the extended bifocal depth imaging and multi-planar optical trapping.
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