Abstract
In this paper an optical beam splitter based on an equilateral triangle waveguide (ETW) is studied theoretically and numerically. We show that an optical beam splitter bases on ETW formed only when the length of the waveguide and the location of incident light are appropriate. When the length of the ETW is one third of the self-imaging length, the incident light is divided into three identical and symmetrical beams; while the length of the ETW is one nine of the self-imaging length, the incident light is divided into twenty- seven identical and symmetrical beams, if the number is less than twenty-seven, that is because some of images overlap with each other. It is expected that the results obtained here will help to design a new splitter.
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Ovchinnikov, Y.B.: Revivals of light in a planar metal waveguide. Optics. Communications 182, 35–43 (2000)
Ovchinnikov, Y.B., Pfau, T.: Revivals and oscillations of the momentum of light in a planar multimode waveguide. Physical. Review. Letters 87, 123901 (2001)
Ovchinnikov, Y.B.: A planar waveguide beam splitter. Optics.Communications 220, 229–235 (2003)
He, S.L., Ao, X.Y., Romanov, V.: General properties of NM self-images in a strongly confined rectangular waveguide. Applied. Optics 42, 4855–4857 (2003)
Wu, C.Y., Somervell, A.R.D., Barnes, T.H.: Direct image transmission through a multi-mode square optical fiber. Optics. Communications 157, 17–22 (1998)
Wu, C.Y., Somervell, A.R.D., Haskell, T.G.: Optical sine transformation and image transmission by using square optical waveguide. Optics. Communications 175, 27–32 (2000)
Sun, Y.L., Jiang, X.Q., Yang, J.Y., Tang, Y., Wang, M.H.: Experimental demonstration of two dimensional multimode-interference optical power splitter. Chinese Physics Letters 20, 2182–2184 (2003)
Han, Z.H., He, S.L.: Multimode interference effect in plasmonic subwavelength waveguides and an ultra-compact power splitter. Optics Communications 278, 199–203 (2007)
Zhang, Y.W., Liu, L.Y., Wu, X., Xu, L.: Splitting-on-demand optical power splitters using multimode interference waveguide with programmed modulations. Optics Communications 281, 426–432 (2008)
Ma, Z.T., Ogusu, K.: Power splitter based on cascaded multimode photonic crystal waveguides with triangular lattice of air holes. Optics Communications 282, 3473–3476 (2009)
Li, W., Xu, X.M.: An ultra-short double-wavelength optical power splitter for two waveguides operation based on photonic crystal multimode interference. Optics Communications 5, 69–73 (2010)
Huang, Y.Z.: Eigenmode confinement in semiconductor microcavity lasers with an equilateral triangle resonator. In: Proceedings-SPIE The international society for optical., vol. 239, p. 3899 (1999)
Guo, W.H., Huang, Y.Z., Wang, Q.M.: Resonant frequencies and quality factors for optical equilateral triangle resonators calculated by FDTD technique and the Padeapproximation. Photonics Technology Letters, IEEE 12, 813 (2000)
Huang, Y.Z., Guo, W.H., Wang, Q.M.: Analysis and numerical simulation of eigenmode characteristics forsemiconductor lasers with an equilateral triangle micro-resonator. Journal of Quantum Electronics, IEEE 37, 100 (2001)
Wysin, G.M.: Resonant mode lifetimes due to boundary wave emission in equilateral triangular dielectric cavities. Journal of optics A: Pure and Applied. Optics 7, 502–509 (2005)
Huang, Y.Z., Guo, W.H., Yu, L.J., Lei, H.B.: Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations. Journal of Quantum Electronics 37, 1259–1264 (2001)
Isaac, G., Khalil, D.: Ray optics model for triangular hollow silicon waveguides. Applied Optics 45, 7567 (2006)
Liu, Z.M., Zhu, K.C., Tan, B., Hao, Z.Q., Wen, W.: Image transmission through a mental equilateral triangle waveguide. Chinese Journal of Quantum Electronics 24, 253–256 (2007) (in chinese)
Doncheski, M.A., Robinett, R.W.: Quantum mechanical analysis of the equilateral triangle billiard: periodic orbit theory and wave packet revivals, 8 (2003), arXiv: quant-ph/0307063
Lin, S.L., Gao, F., Hong, Z.P., Du, M.L.: Quantum spectra and classical orbits in two-dimensional equilateral triangle billiards. Chinese. Physics. Letter 22, 9–11 (2005)
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Liu, Z. et al. (2011). An Equilateral Triangle Waveguide Beam Splitter. In: Li, D., Liu, Y., Chen, Y. (eds) Computer and Computing Technologies in Agriculture IV. CCTA 2010. IFIP Advances in Information and Communication Technology, vol 347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18369-0_10
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DOI: https://doi.org/10.1007/978-3-642-18369-0_10
Publisher Name: Springer, Berlin, Heidelberg
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