Vol. 62

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Shuffling Two Quarter-Wavelength Slabs: One-Dimensional Numerical Simulation

By Shin-Ku Lee and Mingtsu Ho
Progress In Electromagnetics Research M, Vol. 62, 11-18, 2017


An innovative idea of shuffled structure of two quarter wavelength plates is proposed in this paper, which is supported by the numerical simulation results obtained through the application of the method of characteristics (MOC). In contrast to traditional anti-reflective coatings techniques, the proposed structure is a shuffled arrangement of two quarter wavelength slabs which are in theory evenly divided into N+1 and N pieces and then stacked up alternatively. These slabs are made of non-magnetic (μr = 1) dielectric (εr > 1) materials respectively characterized by dielectric constants εr1 and εr2 having the relation of εr2 =(εr1)2 to allow maximum transmission. These 2N+1 pieces are assembled such that there is always an εr2 piece between two εr1 pieces. Therefore, the proposed structure has the advantages of simple components and easy assembly. In the present simulation, the integer number N ranges from one to ten. The computational results are demonstrated in both time and frequency domains exhibiting that the proposed structure functions as a frequency selector.


Shin-Ku Lee and Mingtsu Ho, "Shuffling Two Quarter-Wavelength Slabs: One-Dimensional Numerical Simulation," Progress In Electromagnetics Research M, Vol. 62, 11-18, 2017.


    1. Rosencrantz, T., H. Bulow-Hube, B. Karlsson, and A. Roos, "Increased solar energy and daylight utilization using anti-reflective coating in energy-efficient windows," Sol. Energy Mater. Sol. Cells, Vol. 89, 249-260, 2005.

    2. Raut, H. K., V. A. Ganesh, A. S. Nairb, and S. Ramakrishna, "Anti-reflective coatings: A critical, in-depth review," Energy & Environmental Science, Vol. 4, 3779-3804, 2011.

    3. Hill, K. O., Y. Fujii, D. C. Johnson, and B. S. Kawasaki, "Photosensitivity in optical fiber waveguides: Application to reflection fiber fabrication," Appl. Phys. Lett., Vol. 32, No. 10, 647, 1978.

    4. MacLeod, H. A., Thin Film Optical Filters, 3rd Ed., CRC, 2001.

    5. Taflove, A., Computational Electrodynamics, The Finite-Difference Time-Domain Method, Artech House, Boston, 1995.

    6. Donohoe, J. P., J. H. Beggs, and M. Ho, "Comparison of finite-difference time-domain results for scattered EM fields: Yee algorithm vs. a characteristic based algorithm," 27th IEEE Southeastern Symposium on System Theory, March 1995.

    7. Ho, M., "Scattering of EM waves from traveling and/or vibrating perfect surface: Numerical simulation," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 1, 152-156, January 2006.

    8. Ho, M., "EM scattering from PEC plane moving at extremely high speed: simulation in one dimension," Journal of Applied Science and Engineering (JASE), Vol. 17, No. 4, 429-436, December 2014.

    9. Ho, M. and F.-S. Lai, "Effects of medium conductivity on electromagnetic pulse propagation onto dielectric half space: One-dimensional simulation using characteristic-based method," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1773-1785, 2007.

    10. Ho, M., F.-S. Lai, S.-W. Tan, and P.-W. Chen, "Numerical simulation of propagation of EM pulse through lossless non-uniform dielectric slab using characteristic-based method," Progress In Electromagnetic Research, Vol. 81, 197-212, 2008.

    11. Ho, M., "Numerically solving scattered electromagnetic fields from rotating objects using passing center swing back grid technique: A proposal," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 23, 389-394, January 2009.

    12. Ho, M., "Simulation of scattered fields from rotating cylinder in 2D: Under illumination of TE and TM gaussian pulses," PIERS Proceedings, Moscow, Russia, August 18-21, 2009.

    13. Ho, M., "Simulation of scattered EM fields from rotating cylinder using passing center swing back grids technique in two dimensions," Progress In Electromagnetic Research, Vol. 92, 79-90, 2009.

    14. Ho, M., L.-A. Tsai, and C.-J. Tsai, "EM fields inside a rotating circular hollow dielectric cylinder: Numerical simulation in 2Ds," Progress In Electromagnetics Research M, Vol. 45, 1-8, 2016.

    15. Harrington, R. F., Time-harmonic Electromagnetic Fields, McGraw-Hill, New York, 1961.

    16. Whitfield, D. L. and M. Janus, "Three-dimensional unsteady euler equations solution using flux vector splitting,", AIAA Paper No. 84-1552, June 1984.

    17. Briley, W., S. Neerarambam, and D. Whitfield, "Implicit lower-upper/approximate-factorization algorithms for viscous incompressible flows," 12th Computational Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences, A95-36593, San Diego, CA, U.S.A., 1995.

    18. Orfanidis, S. J., Electromagnetic Waves and Antennas, ECE Department, Rutgers University, New Jersey, U.S.A., 2016.

    19. Krepelka, J., "Maximally flat antireflection coatings," Jemn´a Mechanika A Optika, Vol. 3-5, 53-56, 1992.

    20. Chang, H.-T., M. Zürch, P. M. Kraus, L. J. Borja, D. M. Neumark, and S. R. Leone, "Simultaneous generation of sub-5-femtosecond 400 nm and 800 nm pulses for attosecond extreme ultraviolet pump - Probe spectroscopy," Optics Letters, Vol. 41, No. 22, 5365-5368, 2016.