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PIER PIER B PIER C PIER M PIER Letters
2012-01-12
Design Analysis of a Beam Splitter Based on the Frustrated Total Internal Reflection
By
Jia-Ren Chang Chien,

    Dr. Jia-Ren Chang Chien

    Department of Electronic Engineering

    University of Science and Technology

    Taiwan

    Homepage

Chi-Chung Liu,

    Dr. Chi-Chung Liu

    Graduate School of Engineering Science and Technology

    National Yunlin University of Science and Technology

    Taiwan

    Homepage

Chien-Jang Wu,

    Prof. Chien-Jang Wu

    Institute of Electro-Optical Science and Technology

    National Taiwan Normal University

    Taiwan

    Homepage

Pei Yu Wu,

    Dr. Pei Yu Wu

    National Taiwan Normal University

    Taiwan, R.O.C.

    Homepage

Chang Ching Li

    Dr. Chang Ching Li

    National Taiwan Normal University

    Taiwan, R.O.C.

    Homepage

Progress In Electromagnetics Research, Vol. 124, 71-83, 2012
doi:10.2528/PIER11110904
Abstract
In this work, a theoretical analysis on the design of the beam splitter (BS) based on the frustrated total internal reflection (FTIR) is made. We consider a model structure made of a low-index gap layer bounded by two high-index layers. In the design of a 50/50 BS, we find that there exists a critical gap thickness which is a decreasing function of the angle of incidence for both TE and TM waves. There also exists a critical wavelength for the incident wave, and it increases with increasing angle of incidence. Finally, at a fixed gap thickness and wavelength of incident wave, the critical angle in $TE$ wave is slightly larger than that of $TM$ wave. The analysis provides some fundamental information that is of particular use to the design of a BS within the framework of FTIR.
Citation
Jia-Ren Chang Chien, Chi-Chung Liu, Chien-Jang Wu, Pei Yu Wu, and Chang Ching Li, "Design Analysis of a Beam Splitter Based on the Frustrated Total Internal Reflection," Progress In Electromagnetics Research, Vol. 124, 71-83, 2012.
doi:10.2528/PIER11110904
References

1. Orfanidis, S. J., Electromagnetic Waves and Antennas, Rutger University, 2008, www.ece.rutgers.edu/ orfanidi/ewa .

2. Yeh, P., Optical Waves in Layered Media, John Wiley & Sons, 1991.

3. Zhu, Y., C. Yao, J. Chen, and R. Zhu, "Frustrated total internal reflection evanescent switching," Optics Laser Technol., Vol. 31, 539-542, 1999.
doi:10.1016/S0030-3992(99)00102-4

4. Mossman, M. A., V. H. Kwong, and L. A. Whitehead, "A novel re°ective image display using total internal reflection," Displays, Vol. 25, 215-221, 2004.
doi:10.1016/j.displa.2004.09.020

5. Li, L. and J. A. Dobrowolski, "High-performance thin-film polarizing beam splitter operating at angles greater than the critical angle," Appl. Opt., Vol. 39, 2754, 2000.
doi:10.1364/AO.39.002754

6. McCormick, F. B., F. A. P. Tooley, T. J. Cloonan, J. L. Brubaker, A. L. Lentine, R. L. Morrison, S. J. Hinterlong, M. J. Herron, and S. L. Walker, "Experimental investigation of a free-space optical switching network by using symmetric self-electro-opticeffect devices," Appl. Opt., Vol. 31, 5431-5446, 1992.
doi:10.1364/AO.31.005431

7. Ojima, M., A. Saito, T. Kaku, M. Ito, Y. Tsunoda, S. Takayama, and Y. Sugita, "Compact magnetooptical disk for coded data storage," Appl. Opt., Vol. 25, 483-489, 1986.
doi:10.1364/AO.25.000483

8. Kunstmann, P. and H.-J. Spitschan, "General complex amplitude addition in a polarization interferometer in the detection of pattern differences," Opt. Commun., Vol. 4, 166-168, 1971.
doi:10.1016/0030-4018(71)90236-7

9. Azzam, R. M. A. and N. M. Bashara, Ellipsometry and Polarized Light, North-Holland, 1987.

10. Wu, C.-J., T.-J. Yang, and S.-J. Chang, "Analysis of tunable multiple-¯ltering property in a photonic crystal containing strongly extrinsic semiconductor," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 14-15, 2089-2099, 2011.

11. Wu, C.-J., M.-H. Lee, W.-H. Chen, and T.-J. Yang, "A mid-infrared multichanneled filter in a photonic crystal heterostructure containing negative-permittivity materials," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 10, 1360-1371, 2011.

12. Hsu, H.-T., T.-W. Chang, T.-J. Yang, B.-H. Chu, and C.-J. Wu, "Analysis of wave properties in photonic crystal narrowband filters with left-handed defect," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 16, 2285-2298, 2010.
doi:10.1163/156939310793699073

13. Dai, X., Y. Xiang, and S. Wen, "Broad omnidirectional reflector in the one-dimensional ternary photonic crystals containing superconductor," Progress In Electromagnetics Research, Vol. 120, 17-34, 2011.

14. Wu, C.-J. and Z.-H. Wang, "Properties of defect modes in one-dimensional photonic crystals," Progress In Electromagnetics Research, Vol. 103, 169-184, 2010.
doi:10.2528/PIER10031706

15. Wu, C.-J., Y.-H. Chung, B.-J. Syu, and T.-J. Yang, "Band gap extension in a one-dimensional ternary metal-dielectric photonic crystal," Progress In Electromagnetics Research, Vol. 102, 81-93, 2010.
doi:10.2528/PIER10012004

16. Rahimi, H., A. Namdar, S. Roshan Entezar, and H. Tajalli, "Photonic transmission spectra in one-dimensional flbonacci multilayer structures containing single-negative metamaterials," Progress In Electromagnetics Research, Vol. 102, 15-30, 2010.
doi:10.2528/PIER09122303

17. Kinto-Ramirez, H., M. A. Palomino-Ovando, and F. Ramos-Mendieta, "Photonic modes in dispersive and lossy superlattices containing negative-index materials," Progress In Electromagnetics Research B, Vol. 35, 133-149, 2011.
doi:10.2528/PIERB11062911

18. Suthar, B. and A. Bhargava, "Tunable multi-channel filtering using 1-D photonic quantum well structures," Progress In Electromagnetics Research Letters, Vol. 27, 43-51, 2011.
doi:10.2528/PIERL11072208

19. Rahimi, H., "Backward tamm states in 1D single-negative metamaterial photonic crystals," Progress In Electromagnetics Research Letters, Vol. 13, 149-159, 2010.
doi:10.2528/PIERL09121305

20. Drevko, D. R. and Y. A. Zyuryukin, "Specifics of electromagnetic TE waves splitting and combining under the conditions of frustrated total internal reflection in a thin dielectric layer," Optics and Spectroscopy, Vol. 108, 996-998, 2010.
doi:10.1134/S0030400X10060275

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