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Some of the applications of Photonic Crystals (by no means a complete overview)

Some of the applications of Photonic Crystals (by no means a complete overview). Prof. Maksim Skorobogatiy École Polytechnique de Montréal. Hollow planar waveguides, resonators. Planar antiresonant reflecting optical (ARROW) waveguides, SiN/SiO 2 (2.1/1.46). d c ~3.7m m. 12m m. Capillary.

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Some of the applications of Photonic Crystals (by no means a complete overview)

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  1. Some of the applications of Photonic Crystals (by no means a complete overview) Prof. Maksim Skorobogatiy École Polytechnique de Montréal

  2. Hollow planar waveguides, resonators

  3. Planar antiresonant reflecting optical (ARROW) waveguides, SiN/SiO2 (2.1/1.46) dc~3.7mm 12mm Capillary 1 layer Sensor applications - putting the light where the analyte (gas) is 2 layers 3 layers D. Yin et al. 14 June 2004 / Vol. 12, No. 12 / OPTICS EXPRESS 2710

  4. Tunable multichannel optical filter based on silicon photonic band gap materials actuation Elastic deformation of a membrane by applying voltage Membrane Si PBG SiO2 Tuneable air gap Excitation of a defect mode in the air gap Y. Yi Et Al., Applied Physics Letters Volume 81, Number 22 25 November 2002

  5. Coupling to PC components from conventional WG and fibers

  6. External focused beam Fiber mode PCWG mode Extended field coupling Direct coupling Fiber mode PCWG mode Evanescent field coupling Coupling to photonic crystals from conventional WG and fibers e ( = 12, r=0.2 a , h=2 a ) Extended field coupling,external beam - PCWG 0.6 light cone 0.5 0.4 0.3 frequency (c/a) Evanescent field, and direct coupling, fiber - PCWG 0.2 0.1 odd (TM-like) bands even (TE-like) bands 0 G G X M TM-like gap

  7. Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals Wrong taper, tapered PC mirror has a PBG at the WG transmission frequency Correct taper, an “unzipping” PC Mirror Butt coupled waveguide and a 2D Pxtal S.G. Johnson et al. PHYSICAL REVIEW E 66, 066608 2002

  8. Design of photonic crystal waveguides for evanescent coupling to optical fiber tapers and integration with high-Q cavities Point where fiber mode is phase matched with a PC WG mode Barclay et al., J. Opt. Soc. Am. B/Vol. 20, No. 11/November 2003

  9. Coupling between a point-defect cavity and a line-defect waveguide in three-dimensional photonic crystal Position of a waveguide has to be chosen accordingly as to guarantee a high quality factor of the WG – resonator system Line defect (removed rod) and a point defect are designed to operate at a common frequency of interest M. Okano et al., PHYSICAL REVIEW B 68, 235110 ~2003!

  10. Anomalous PC Refraction

  11. Ultracompact high-efficiency polarizing beam splitter with a hybrid photonic crystal and conventional waveguide structure Ez(TM) No phase matchingbetween an incident WG mode and an extended PC mode. kin Constant frequency contours Hz(TE) Incident WG mode is phase matched to an an extended PC mode + Brewster angle kparallel S. Kim et al., OPTICS LETTERS / Vol. 28, No. 23 / December 1, 2003

  12. Aperiodic nanophotonic design - do we really need a PC to stay cool PC’s can be designed to refract the beam in a complex way Aperiodically positioned scatterers can do the same job even better I.L. Gheorma Et Al., Journal Of Applied Physics Volume 95, Number 3 1 February 2004

  13. Resonant leaky modes above the cladding light line. Lasing. e ( = 12, r=0.3 a , h=0.5 a ) light cone Truly guided modes below the light line Resonant leaky modes above the light line odd (TM-like) bands even (TE-like) bands G G M K TE-like gap

  14. Waveguide tapers and waveguide bends in AlGaAs-based two-dimensional photonic crystals (e-beam) HeNe Propagation in resonant modes above the light line ecore=3.4 quantum dot with a broad band emission exp theory exp theory 2mm PBG Dinu et al. Appl. Phys. Lett., Vol. 83, No. 22, 1 December 2003

  15. Laser action from two-dimensional distributed feedback in photonic crystals light cone (laser dye in organic layer, core) Two guided modes in a slab (cladding) Symmetry points of zero group velocity due to band splitting.Standing waves -distributed feed back lasing Lasing at M point M. Meier et al., Applied Physics Letters Volume 74, Number 1 4 January 1999

  16. Evidence for bandedge lasing in a two-dimensional photonic bandgap polymer laser resonant leaky modes above the light line TE TM (organic gain media, core) clad N. Moll Et Al., Applied Physics Letters Volume 80, Number 5 4 February 2002

  17. Slow Light

  18. Two-dimensional coupled photonic crystal resonator arrays Very flat bands - considerably reduced group velocity for all directions. Application in optical delay lines, low-treshold lasers, non-linear phenomena. H. Altug and J. Vuckovic, Applied Physics Letters, Volume 84, Number 2 12 January 2004

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