Modeling of aperiodic fractal waveguide structures for multifrequency light transport

Journal of Lightwave Technology

Volumn 25, Issue 7, 2007, Pages 1841-1847

  Hiltunen, Marianne ^a,b   Negro, Luca Dal ^c   Feng, Ning Ning ^b   Kimerling, Lionel C ^b   Michel, Jurgen ^b  

^a VTT TECHNICAL RESEARCH CENTRE OF FINLAND   (Finland)

^b Massachusetts Institute of Technology   (United States)

^c Boston University   (United States)

Author keywords

Fibonacci; Fractal quasi crystal; High index contrast waveguide; Localization; Mode matching method; Photonic band gap (PBG); Rudin Shapiro (R S); Thue Morse (T M)

Indexed keywords

ELECTRIC FIELDS; LIGHT TRANSMISSION; OPTICAL WAVEGUIDES; PHOTONIC BAND GAP;

FRACTAL QUASI-CRYSTAL; HIGH-INDEX CONTRAST WAVEGUIDE; MODE MATCHING METHOD; MULTIFREQUENCY TRANSMISSION BANDS;

OPTICAL DEVICES;

EID: 34547179462     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2007.897709     Document Type: Article

References (26)

1. M. Queffélec, "Substitution dynamical systems - Spectral analysis," in Lecture Notes in Mathematics, vol. 1294. Berlin, Germany: Springer-Verlag, 1984.
2. R. Pelster, V. Gasparian, and G. Nimtz, "Propagation of plane waves and of waveguide modes in quasiperiodic dielectric heterostructures," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 55, no. 6, pp. 7645-7655, Jun. 1997.
3. 2 Thue-Morse quasicrystals," Appl. Phys. Lett., vol. 84, no. 25, pp. 5186-5188, Jun. 2004.
4. F. Qiu et al., "Omnidirectional reflection of electromagnetic waves on Thue-Morse dielectric multilayers," Europhys. Lett., vol. 68, no. 5, pp. 658-663, Dec. 2004.
5. H. Chen et al., "Effects of defects and disorder on light propagation in one-dimensional photonic band-gap structures," Proc. SPIE, vol. 4905, pp. 635-638, 2002.
6. M. Ghulinyan et al., "Light pulse propagation in Fibonacci quasicrystals," Phys. Rev. B, Condens. Matter, vol. 71, no. 9, pp. 094 204-1-094 204-8, Mar. 2005.
7. L. Dal Negro et al., "Spectrally enhanced light emission from aperiodic photonic structure," Appl. Phys. Lett., vol. 86, no. 26, p. 261 905, Jun. 2005.
8. W. Gellerman, M. Kohmoto, B. Sutherland, and P. C. Taylor, "Localization of light waves in Fibonacci dielectric multilayer," Phys. Rev. Lett., vol. 72, no. 5, pp. 633-636, Jan. 1994.
9. N. Liu, "Propagation of light waves in Thue-Morse dielectric multilayers," Phys. Rev. B, Condens. Matter, vol. 55, no. 6, pp. 3543-3547, Feb. 1997.
10. L. Dal Negro et al., "Light transport through the band-edge states of Fibonacci quasicrystals," Phys. Rev. Lett., vol. 90, no. 5, pp. 055 501-1-055 501-4, Feb. 2003.
11. X. Jiang et al., "Photonic band gaps and localization in the Thue-Morse structures," Appl. Phys. Lett., vol. 86, no. 20, pp. 201 110-1-201 110-3, May 2005.
12. F. Qiu et al., "Resonant transmission and frequency trifurcation of light waves in Thue-Morse dielectric multilayers," Europhys. Lett., vol. 63, no. 6, pp. 853-859, Sep. 2003.
13. L. Kroon, E. Lennholm, and R. Riklund, "Localization-delocalization in aperiodic systems," Phys. Rev. B, Condens. Matter, vol. 66, no. 9, pp. 094 204-1-094 204-9, Sep. 2002.
14. Z. Cheng, R. Savit, and R. Merlin, "Structure and electronic properties of Thue-Morse lattices," Phys. Rev. B, Condens. Matter, vol. 37, no. 9, pp. 4375-4382, Mar. 1988.
15. M. Dulea, M. Johansson, and R. Riklund, "Localization of electrons and electromagnetic waves in a deterministic aperiodic system," Phys. Rev. B, Condens. Matter, vol. 45, no. 1, pp. 105-114, Jan. 1992.
16. L. Kroon and R. Riklund, "Absence of localization in a model with correlation measure as a random lattice," Phys. Rev. B, Condens. Matter, vol. 69, no. 9, pp. 094 204-1-094 204-5, Mar. 2004.
17. C. Janot, Quasicrystals: A Primer, 2nd ed. London, U.K.: Oxford Univ. Press, 1997.
18. W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite difference time domain approach to guided wave optics," IEEE Photon. Technol. Lett., vol. 3, no. 6, pp. 524-526, Jun. 1991.
19. N. N. Feng and W. P. Huang, "Time domain reflective beam propagation method," IEEE J. Quantum Electron., vol. 40, no. 6, pp. 778-783, Jun. 2004.
20. A. Sudbo, "Film mode matching: A versatile numerical method for vector mode field calculations in dielectric waveguides," Pure Appl. Opt. vol. 2, no. 3, pp. 211-233, May 1993.
21. D. F. G. Gallagher and T. P. Felici, "Eigenmode expansion methods for simulation of optical propagation in photonics-Pros and cons," in Proc. Integr. Opt.: Devices, Mater. Technol. VII, SPIE, 2003, vol. 4987, pp. 69-82.
22. T. F. Krauss and R.M. De La Rue, "Optical characterization of waveguide based photonics microstructures," Appl. Phys. Lett., vol. 68, no. 12, pp. 1613-1615, Mar. 1996.
23. T. F. Krauss, B. Vögele, C. R. Stanley, and R. M. De La Rue, "Waveguide microcavity based photonic microstructures," IEEE Photon. Technol. Lett., vol. 9, no. 2, pp. 176-178, Feb. 1997.
24. Q. Wang and G. Farrell, "All-fiber multimode-interference based refractometer sensor: Proposal and design," Opt. Lett., vol. 31, no. 3, pp. 317-319, Feb. 2006.
25. C. C. Katsidis and D. I. Siapkas, "General transfer-matrix method for optical multilayer systems with coherent, partially coherent and incoherent interference," Appl. Opt., vol. 41, no. 19, pp. 3978-3987, Jul. 2002.
26. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, no. 2, pp. 185-200, Oct. 1994.