Broadband super-collimation in a hybrid photonic crystal structure (2009)
Joannopoulos, J. D., Johnson, Steven G., Ibanescu, Mihai, Soljacic, Marin, Hamam, Rafif E.
We propose a two dimensional (2D) photonic crystal (PhC) structure that supports super-collimation over a large frequency range (over 4 times that of a traditional square lattice of holes). We...
Nonlinear photonic crystals near the supercollimation point (2008)
Xu, Zhiyong, Maes, Bjorn, Jiang, Xunya, Joannopoulos, John D., Torner, Lluis, Soljacic, Marin
We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show this is modeled by a nonlinear diffraction term in a nonlinear...
Effective theory of quadratic degeneracies (2008)
Chong, Y. D., Wen, Xiao-Gang, Soljacic, Marin
We present an effective theory for the Bloch functions of a two-dimensional square lattice near a quadratic degeneracy point. The degeneracy is protected by the symmetries of the crystal, and...
Nonlinear photonic crystals near the supercollimation point (2008)
Xu, Zhiyong, Maes, Björn, Jiang, Xunya, Joannopoulos, John D, Torner, Lluis, Soljacic, Marin
Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal (2007)
Wang, Zheng, Chong, Y. D., Joannopoulos, John D., Soljacic, Marin
We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D gyroelectric photonic crystals possessing Dirac...
Dark-State Polaritons in Single- and Double-$\Lambda$ Media (2007)
We derive the properties of polaritons in single-$\Lambda$ and double-$\Lambda$ media using a microscopic equation-of-motion technique. In each case, the polaritonic dispersion relation and...
Rodriguez, Alejandro, Soljacic, Marin, Joannopoulos, John D., Johnson, Steven G.
We derive general conditions for 100 percent frequency conversion in any doubly resonant nonlinear cavity, for both second- and third-harmonic generation via chi2 and chi3 nonlinearities. We find...
Tailoring optical nonlinearities via the Purcell effect (2007)
Bermel, Peter, Rodriguez, Alejandro, Joannopoulos, John D., Soljacic, Marin
We predict that the effective nonlinear optical susceptibility can be tailored using the Purcell effect. While this is a general physical principle that applies to a wide variety of nonlinearities,...
Efficient wireless non-radiative mid-range energy transfer (2006)
Karalis, Aristeidis, Joannopoulos, J. D., Soljacic, Marin
We investigate whether, and to what extent, the physical phenomenon of long-lifetime resonant electromagnetic states with localized slowly-evanescent field patterns can be used to transfer energy...
Quantum Theory of a Resonant Photonic Crystal (2006)
Chong, Y. D., Pritchard, David E., Soljacic, Marin
We present a quantum model of two-level atoms localized in a 3D lattice, based on the Hopfield theory of exciton polaritons. In addition to a polaritonic gap at the exciton energy, a photonic bandgap...
Enhancement of microcavity lifetimes using highly dispersive materials (2004)
Soljacic, Marin, Lidorikis, Elefterios, Hau, Lene Vestergaard, Joannopoulos, J. D.
We show analytically, and numerically that highly-dispersive media can be used to drastically increase lifetimes of high-Q microresonators. In such a resonator, lifetime is limited either by...
Ultra Low-Power All-Optical Switching (2004)
Soljacic, Marin, Lidorikis, Elefterios, Joannopoulos, J. D., Hau, Lene Vestergaard
Using analytical modeling and detailed numerical simulations, we investigate properties of hybrid systems of Photonic Crystal micro-cavities which incorporate a highly non-linear Ultra Slow Light...
Delayed-Action Interaction and Spin-Orbit Coupling between Solitons (2001)
Christodoulides, Demetrios N., Musslimani, Ziad H., Segev, Mordechai, Soljacic, Marin
Modulation Instability and Pattern Formation in Spatially Incoherent Light Beams (2000)
Kip, Detlef, Soljacic, Marin, Segev, Mordechai, Eugenieva, Evgenia, Christodoulides, Demetrios N.
We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear...
Minimal Potentials with Very Many Minima (1999)
Soljacic, Marin, Wilczek, Frank
We demonstrate, by construction, that simple renormalizable matrix potentials with S_N, as opposed to O(N), symmetry can exhibit an exponentially large number of inequivalent deep local minima.
Self-trapping of Necklace beams in Self-focusing Kerr media (1998)
Soljacic, Marin, Sears, Suzanne, Segev, Mordechai
We show that an azimuthally-periodically-modulated bright ring "necklace" beam can self-trap in self-focusing Kerr media and can exhibit stable propagation for very large distances. These are the...
Randall, Lisa, Soljacic, Marin, Guth, Alan
Most models of inflation have small parameters, either to guarantee sufficient inflation or the correct magnitude of the density perturbations. In this paper we show that, in supersymmetric theories...
Supernatural Inflation: Inflation from Supersymmetry with No (Very) Small Parameters (1995)
Randall, Lisa, Soljacic, Marin, Guth, Alan
Most models of inflation have small parameters, either to guarantee sufficient inflation or the correct magnitude of the density perturbations. In this paper we show that, in supersymmetric theories...