Polygonal Fresnel zone plates

The performance of Fresnel zone plates having a polygonal boundary between zones has been studied. The contribution of the complex amplitude of each zone is calculated analytically and numerically solved. The case of a continuous phase plate is considered as the limit case in performance for each polygonal shape. This performance is compared with respect to the circular case. Also four different methods to define a polygonal FZP having discrete phase shift are analyzed and compared.

[1]  Javier Alda,et al.  Diffractive performance of square Fresnel zone plates , 2009 .

[2]  J. Goodman.  Introduction to Fourier optics , 1969 .

[3]  Javier Alda,et al.  Infrared antennas coupled to lithographic Fresnel zone plate lenses. , 2004, Applied optics.

[4]  Hristo D. Hristov,et al.  Fresnal Zones in Wireless Links, Zone Plate Lenses and Antennas , 2000 .

[5]  F. J. González,et al.  Antenna-coupled infrared detectors for imaging applications , 2005, IEEE Journal of Selected Topics in Quantum Electronics.

[6]  Jiří Komrska,et al.  Simple derivation of formulas for Fraunhofer diffraction at polygonal apertures: errata , 1982 .

[7]  G. S. McDonald,et al.  Fresnel diffraction and fractal patterns from polygonal apertures. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  Igor V. Minin,et al.  Improved zoning rule for designing square Fresnel zone plate lenses , 2007 .

[9]  Igor V. Minin,et al.  Array of hexagonal Fresnel zone plate lens antennas , 2006 .

[10]  Q. Leonard,et al.  Design and fabrication of Fresnel zone plates with large numbers of zones , 1997 .

[11]  Javier Alda,et al.  Optimization of polygonal Fresnel zone plates , 2008 .

[12]  Zhenwu Lu,et al.  Modified phase function model for kinoform lenses. , 2008, Applied optics.

[13]  Javier Alda,et al.  Fresnel zone antenna for dual-band detection at millimeter and infrared wavelengths. , 2009, Optics letters.

[14]  C. Gomez-Reino,et al.  Zone Plates Produced by Cylindrical Wavefronts Recording and Reconstruction , 1982 .

[15]  L. B. Lesem,et al.  The kinoform: a new wavefront reconstruction device , 1969 .

[16]  S. Ganci.  Simple derivation of formulas for Fraunhofer diffraction at polygonal apertures from Maggi–Rubinowicz transformation , 1984 .

[17]  L J Janicijevic.  Diffraction characteristics of square zone plates , 1982 .

[18]  K. R. Trigger,et al.  Precision alignment using a system of large rectangular fresnel lenses. , 1968, Applied optics.

[19]  A. Toscano,et al.  Design of Spiral and Multiple Split-Ring Resonators for the Realization of Miniaturized Metamaterial Samples , 2007, IEEE Transactions on Antennas and Propagation.

[20]  S. Wang,et al.  Fresnel number of a regular polygon and slit. , 2000, Applied optics.

[21]  Michael V Berry,et al.  Fractal modes of unstable lasers with polygonal and circular mirrors , 2001 .

[22]  J Saarinen,et al.  Polygon approximation of the fringes of diffractive elements. , 1997, Applied optics.

[23]  Yunlong Sheng,et al.  Multiplexed computer-generated holograms with irregular-shaped polygonal apertures and discrete phase levels. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Andrew R. Harvey,et al.  Validity of Fresnel and Fraunhofer approximations in scalar diffraction , 2003 .

[25]  Daomu Zhao,et al.  Demonstrations of the diffraction and dispersion phenomena of part Fresnel phase zone plates , 2007 .