The simulation, fabrication and measurement of nonlinear photonic crystals (PhCs) with hexagonal symmetry in
epitaxial BaTiO3 were investigated. The optical transmission properties of a PhC were simulated by a 2-D finite-difference
time domain (FDTD) method. A complete bandgap exists for both the TE and TM optical modes. The
fabricated PhC has a well-defined stop band over the spectral region of 1525 to 1575 nm. A microcavity structure
was also fabricated by incorporation of a line defect in the PhC. Transmission of the microcavity structure over the
spectral region from 1456 to 1584nm shows a well-defined 5 nm wide window at 1495nm. Simulations indicate that
the phase velocity matched PhC microcavity device of 0.5 mm long can potentially serve as modulator with a 3 dB
bandwidth of 4 THz.
Nonlinear photonic crystal (PhC) waveguides are being developed for ultrafast modulators. To enable phase velocity
matching we have investigated one- and two-dimensional structures. Photonic crystal (PhC) waveguides based on
epitaxial barium titanate (BTO) thin film in a Si3N4/BTO/MgO multilayer structure were fabricated by electron beam
lithography or focused ion beam (FIB) milling. For both one- and two-dimensional PhCs, simulation shows that
sufficient refractive index contrast is achieved to form a stop band. For one-dimensional Bragg reflector, we measured its
slow light properties and the group refractive index of optical wave. For a millimeter long waveguide a 27 nm wide stop
band was obtained at 1550 nm. A slowing of the light was observed, the group refractive indices at the mid band gap and
at the band edges were estimated to be between 8.0 and 12 for the transverse electric (TE) mode, and 6.9 and 13 for the
transverse magnetic (TM) mode. For TE optical modes, the enhancement factor of EO coefficient ranges from 7 to 13,
and for the TM mode, the factor ranges from 5.9 to 15. Measurements indicate that near velocity phase matching can be
realized. Upon realizing the phase velocity matching condition, devices with a small foot print with bandwidths at 490
GHz can be attained. Two-dimensional PhC crystal with a hexagonal lattice was also investigated. The PhCs were
fabricated from epitaxial BTO thin film multilayers using focused ion beam milling. The PhCs are based on BTO slab waveguide and air hole arrays defined within Si3N4 and BTO thin films. A refractive index contrast of 0.4 between the barium titanate thin film multilayers and the air holes enables strong light confinement. For the TE optical mode, the hexagonal photonic crystal lattice with a diameter of 155 nm and a lattice constant of 740 nm yields a photonic bandgap over the wavelength range from 1525 to 1575 nm. The transmission spectrum of the PhC waveguide exhibits stronger Fabry Perot resonance compared to that of conventional waveguide. Measured transmission spectra show a bandgap in the ΓM direction in the reciprocal lattice that is in agreement with the simulated results using the finite-difference time-domain (FDTD) method. Compared to polarization intensity EO modulator with a half-wave voltage length product of 4.7 V•mm. The PhC based EO modulator has a factor of 6.6 improvement in the figure of merit performance. The thin film PhC waveguide devices show considerable potential for ultra-wide bandwidth electro-optic modulators as well as tunable optical filters and switches.
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