Abstract
Photonic crystal technology allows the creation of optical waveguides with low sharp-bending losses as well as ultra-low group velocity. This last property is particularly interesting to develop highly-compact optical devices based on the controlled modification of the optical phase of the signals traveling through the waveguides. Among these devices, the Mach–Zehnder interferometer acquires fundamental importance because it can be used as a building block of more complex optical devices and functionalities such as optical filters, wavelength demultiplexers, channels interleavers, intensity modulators, switches and optical gates. In this paper, the performance of a Mach–Zehnder interferometer consisting of two coupled-cavity waveguides with different lengths created in a two-dimensional photonic crystal is theoretically analyzed. We also provide simulation results using a finite-difference time-domain code that confirm the theoretical analysis. The main limitations in the performance of the structure are addressed and discussed.
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M. Bayindir B. Temelkuran E. Ozbay (2000a) Phys. Rev. B 62 2247 Occurrence Handle10.1103/PhysRevB.62.R2247
M. Bayindir B. Temelkuran E. Ozbay (2000b) Appl. Phys. Lett 77 3902 Occurrence Handle10.1063/1.1332821 Occurrence Handle1:CAS:528:DC%2BD3cXoslSisrk%3D
F. Cuesta A Griol A. Martínez J. Martí (2003) Electron. Lett 39 455 Occurrence Handle10.1049/el:20030317
S. Fan S.G. Johnson J.D. Joannopoulos C Manolatou H.A. Haus (2001) J. Opt. Soc. Am. B 18 162 Occurrence Handle1:CAS:528:DC%2BD3MXht1ekurs%3D
J.D. Joannopoulos R.D. Meade J.N. Winn (1995) Photonic Crystals: Molding the flow of light Princeton University Press Princenton, NJ
S.G. Johnson S Fan P.R. Villeneuve J.D. Joannopoulos (1999) Phys. Rev. B 60 5751 Occurrence Handle10.1103/PhysRevB.60.5751 Occurrence Handle1:CAS:528:DyaK1MXlt1yjt7o%3D
S.G. Johnson S Fan P.R. Villeneuve J.D. Joannopoulos (2000) Phys. Rev. B 62 8212 Occurrence Handle10.1103/PhysRevB.62.8212 Occurrence Handle1:CAS:528:DC%2BD3cXmslWrtLc%3D
S.G. Johnson J.D. Joannopoulos (2001) Opt. Express 8 173
T.J. Karle D.H. Brown R Wilson M Steer T.F. Krauss (2002) IEEE J. Select. Topics Quant. Electron 8 909 Occurrence Handle1:CAS:528:DC%2BD38XotVGltbk%3D
T.F. Krauss R.M. Rue Particlede la S. Brand (1996) Nature 382 699
S. Lan K Kanamoto T Yang S Nishikawa Y Sugimoto N Ikeda H Nakamura K Asakawa H. Ishikawa (2003) Phys. Rev. B 67 115208
E. Lidorikis M.M. Sigalas E.N. Economou C.M. Soukoulis (1998) Phys. Rev. Lett 81 1405 Occurrence Handle1:CAS:528:DyaK1cXltFCmt7o%3D
S.Y. Lin E Chow J. Bur S.G. Johnson J.D. Joannopoulos (2002) Opt. Lett 27 1400 Occurrence Handle1:CAS:528:DC%2BD38XntVeitL4%3D
A. Martínez A Griol P Sanchis J. Martí (2003) Opt. Lett 28 405 Occurrence Handle12659261
A. Mekis J.C. Chen I. Kurland S. Fan P.R. Villeneuve J.D. Joannopoulos (1996) Phys. Rev. Lett 77 3787 Occurrence Handle1:CAS:528:DyaK28XmsVChtbk%3D Occurrence Handle10062308
R. Ramaswami K.N. Sivajaran (1998) Optical Networks: a practical perspective Academic Press San Diego, CA
P. Sanchis J. García A. Martínez F. Cuesta A. Griol J. Martí (2003) Opt. Lett 28 1903 Occurrence Handle1:STN:280:DC%2BD3srhtV2isA%3D%3D Occurrence Handle14587770
M.H. Shih W.J. Kim Kuang Wan J.R. Cao H. Yukawa S.J. Choi J.D. O’Brien P.D. Dapkus (2004) Appl. Phys. Lett 84 460 Occurrence Handle1:CAS:528:DC%2BD2cXmslamsQ%3D%3D
M. Soltani A. Adibi Y. Xu R.K. Lee (2003) Opt. Lett 28 1978 Occurrence Handle14587795
A. Taflove (1995) Computational Electrodynamics Artech House Boston, MA
M. Tokushima H. Yamada (2001) Electron. Lett 37 1454
E. Yablonovitch (1987) Phys. Rev. Lett 58 2059 Occurrence Handle10.1103/PhysRevLett.58.2059 Occurrence Handle1:CAS:528:DyaL2sXktFGit7Y%3D Occurrence Handle10034639
E. Yablonovitch T.J. Gmitter R.D. Meade A.M. Rappe K.D. Brommer J.D. Joannopoulos (1991) Phys. Rev. Lett 67 3380 Occurrence Handle1:CAS:528:DyaK38XivFCltA%3D%3D Occurrence Handle10044719
A. Yariv Y. Xu R.K. Lee A. Scherer (1999) Opt. Lett 24 711
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Martínez, A., Sanchis, P. & Martí, J. Mach–Zehnder interferometers in photonic crystals. Opt Quant Electron 37, 77–93 (2005). https://doi.org/10.1007/s11082-005-1124-5
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DOI: https://doi.org/10.1007/s11082-005-1124-5