Photonic crystal waveguide for second harmonic generation: exact solution

Second harmonic generation in a photonic crystal

Impedance matching in photonic crystal microcavities for second-harmonic generation.

By numerically integrating the three-dimensional Maxwell equations in the time domain with reference to a dispersive quadratically nonlinear material, we study second-harmonic generation in planar photonic crystal microresonators. The proposed scheme allows efficient coupling of the pump radiation to the defect resonant mode. The outcoupled generated second harmonic is maximized by impedance ma...

Tailoring Čerenkov second-harmonic generation in bulk nonlinear photonic crystal.

We investigate theoretically the Čerenkov-type second-harmonic generation in two-dimensional bulk nonlinear photonic crystal with longitudinal modulation of the χ((2)) nonlinearity. We show that in this scheme the Čerenkov radiation can be achieved simultaneously at multiple directions with comparable intensities. The angles of emission are controllable by the spatial modulation of the nonlinea...

Second order sensitivity analysis for a photonic crystal waveguide bend

Sensitivity analysis provides important information on the tolerance to fabrication imperfections for any designed devices. Standard sensitivity analysis relies on the first order partial derivatives of a response function of the device with respect to the design parameters. These derivatives are also useful in the device optimization process when a gradient based optimization method is used. T...

Second-Harmonic Generation in GaAs Photonic Crystal Cavities in (111)B and (001) Crystal Orientations

We demonstrate second-harmonic generation in photonic crystal cavities in (001)and (111)B-oriented GaAs. The fundamental resonance is at 1800 nm, leading to generated second harmonic below the GaAs band gap. Belowband-gap operation minimizes absorption of the secondharmonic and two-photon absorption of the pump. Photonic crystal cavities were fabricated in both orientations at various in-plane ...