Analysis of the Focusing Characteristics of Double Negative Binary Diffractive Lens
Zongxin Wang, Lizhi You
.
DOI: 10.4236/jemaa.2010.29072   PDF    HTML   XML   4,674 Downloads   7,672 Views  

Abstract

For a compact millimeter wave imaging system it is very important to design every component into small size, for the components in a millimeter wave system are usually much larger than those in an optical imaging system due to rela-tively long wave lengths. In this paper, we suggest a kind of binary diffractive lens (BDL) designed using double nega-tive materials (DNG) as the objective lens for a millimeter wave imaging system. The DNG-BDL has not only the ad-vantage of low profile but also small f number, which will be benefit for constructing a compact millimeter wave imaging system. Several DNG-BDL are designed and analyzed using the FDTD method. The numerical results of the focal plane field of the DNG-BDL are presented, which show that the DNG-BDL with small f number has relatively better focusing characteristic than that of a double positive BDL with same f number.

Share and Cite:

Z. Wang and L. You, "Analysis of the Focusing Characteristics of Double Negative Binary Diffractive Lens," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 9, 2010, pp. 557-562. doi: 10.4236/jemaa.2010.29072.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] V. G. Veselago, “The Electrodynamic of Substance with Simultaneously Negative Values of ε and μ,” Soviet Physics Uspekhi, Vol. 10, No. 4, 1968, pp. 509-514.
[2] N. Engheta and R. W. Ziolkowski, “A Positive Future for Double-Negative Metamaterials,” IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 4, 2005, pp. 1535-1556.
[3] A. Shelby, D. R. Smith and S. Schultz, “Experimental Verification of a Negative Index of Refraction,” Science, Vol. 292, No. 5514, 2001, pp. 77-79.
[4] J. B. Pendry, “Negative Refraction Makes a Perfect Lens,” Physics Review Letters, Vol. 85, No. 18, 2000, pp. 3966-3969.
[5] G. G. V. Eleftheriades, A. K. Iyer and P. C. Kremer, “Planar Negative Refractive Index Media Using Periodi-cally L–C Loaded Transmission Lines,” IEEE Transac-tions on Microwave Theory and Techniques, Vol. 50, No. 12, 2002, pp. 2702-2712.
[6] A. A. Grbic and G. V. Eleftheriades, “Experimental Veri-fication of Backward-Wave Radiation from a Negative Refractive Index Metamaterial,” Journal of Applied Physics, Vol. 92, No. 10, 2002, pp. 5930-5935.
[7] R. W. Ziolkowski and A. Kipple, “Application of Double Negative Metamaterials to Increase the Power Radiated by Lectrically Small Antennas,” IEEE Transactions on Antennas and Propagation, Vol. 51, No. 10, 2003, pp. 2626-2640.
[8] M. Skeren, I. Richter and P. Fiala, “Design of Binary Phase-Only Diffractive Optical Elements for Laser Beam Shaping,” Proceedings of SPIE, Vol. 4095, 2000, pp. 154-164.
[9] S. N. Toma, A. Alexandrescu, D. Apostol, V. Nascov and D. Cojoc, “Gaussian to Rectangular Laser Beam Shaping Using Diffractive Optical Elements,” Proceedings of SPIE, Vol. 5972, 2005, pp. G1-G8.
[10] D. N. Black and J. C. Wiltse, “Millimeter-Wave Charac-teristics of Phase-Correcting Fresnel Zone Plates,” IEEE Transactions on Microwave Theory and Techniques, Vol. 35, No. 12, 1987, pp. 1122-1129.
[11] S. M. Stout-Grandy, A. Petosa, I. V. Minin, O. V. Minin, and J. Wight, “A Systematic Study of Varying Reference Phase in the Design of Circular Fresnel Zone Plate An-tennas,” IEEE Transactions on Antennas and Propagation, Vol. 54, No. 12, 2006, pp. 3629-3637.
[12] R. W. Ziolkowski and E. Heyman, “Wave Propagation in Media Having Negative Permittivity and Permeability,” Physical Review E, Vol. 64, No. 5, 2001, pp. 1-15.
[13] M. Y. Wang, D. B. Ge, J. Xu and J. Wu, “FDTD Study on Back Scattering of Conducting Sphere Coated with Double-Negatibe Metamaterials,” International Journal of Infrared and Millimeter Waves, Vol. 28, No. 2, 2007, pp. 199-206.
[14] Z. X. Wang and W. B. Dou, “Design and Analysis of Several Kinds of Dielectric Lens Antennas,” Journal of Electromagnetic waves and Applications, Vol. 20, No. 12, 2006, pp.1643-1653.
[15] Y. Zhao, P. Belov and Y. Hao, “Accurate Modelling of Left-Handed Metamaterials Using an FDTD Method with Spatial Averaging at the Boundaries,” Journal of Optics A: Pure and Applied Optics, Vol. 9, 2007, pp. S468-S475.
[16] R. Luebbers, F. P. Hunsberger, K. Kunz, R. Standler and M. Schneider, “A Frequency-Dependent Finite-Differen ce Time-Domain Formulation for Dispersive Materials,” IEEE Transactions on Electromagnetic Compatability, Vol. 32, No. 3, 1990, pp. 222-227.
[17] O. P. Gandhi, B.-Q. Gao and J.-Y. Chen, “A Frequency Dependent Finite-Difference Time-Domain Formulation for General Dispersive Media,” IEEE Transactions on Microwave Theory and Techniques, Vol. 41, No. 4, 1993, pp. 658-664.
[18] D. M. Sullivan, “Frequency-Dependent FDTD Methods Using Z Transforms,” IEEE Transactions on Antennas and Propagation, Vol. 40, No. 10, 1992, pp. 1223-1230.
[19] W. P. Dennis and S. Y. Shi, “Formulation and Application of the Finite-Difference Time-Domain Method for the Analysis of Axially Symmetric Diffractive Optical Elements,” Journal of Optical Society America A, Vol. 16, No. 5, 1999, pp. 1131-1142.
[20] K. Umashankar and A. Taflove, “A Novel Method to Analyze Electromagnetic Scattering of Complex Objects,” IEEE Transactions on Electromagnetics Compatibility, Vol. 24, No. 4, 1982, pp. 397-405.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.