lect29 - 0.0 Magnetic field Waveguides in Dielectric Slabs...

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Conventional waveguide Photonic crystal waveguide Photonic Crystal vs. Conventional Waveguide High-index region, TIR Low index region
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forbidden by PBG (except for finite -crystal tunneling ) forbidden by Bloch ( k conserved) allowed Waveguide – Line Defects
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High Transmission through Sharp Bends A. Mekis et al, PRL, 77, 3786 (1996) Polluck, Fundamentals of Optoelectronics, 1995
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broken symmetry –> backwards propagation allowed Bends
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n > n o n o rays at shallow angles > c are totally reflected Snell’s Law: i o n sin i = n o sin o sin c = n o / n < 1 , so c is real i.e. TIR can only guide within higher index unlike a band gap Total Internal Reflection
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Wavevector (2 /a) 0.30 0.40 0.50 0.15 0.20 0.25 0.30 0.35 0.40 Frequency (c/a) Slab modes Radiation modes gap Oxide Si -1.0 1.0
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Unformatted text preview: 0.0 Magnetic field Waveguides in Dielectric Slabs By Y. Vlasov, IBM Photonic Crystal Waveguides By L. Frandsen et al, DTU Photonic Crystal Waveguides Micro Add/Drop Filter in Photonic Crystals S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Physical Review Letters 80, 960 (1998) • Two resonant modes with even and odd symmetry. • The modes must be degenerate. • The modes must have the same decay rate. Defect state R. F. Cregan et al., Science 285, 1537 (1999) 10μm 5μm Real application so far: Air-guiding photonic crystal fibers Photonic Crystal Fiber Baba T., Nature Photonics, 1, 11-12 (2007) After 20 Years – Forecast for Future...
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lect29 - 0.0 Magnetic field Waveguides in Dielectric Slabs...

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