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- J. Sánchez-Curto, Pedro Chamorro-Posada, G. S. McDonald
- Optics letters
- 2007

Reflection and refraction of spatial solitons at dielectric interfaces, accommodating arbitrarily angles of incidence, is studied. Analysis is based on Helmholtz soliton theory, which eliminates the angular restriction associated with the paraxial approximation. A novel generalization of Snell's law is discovered that is valid for collimated light beams and… (More)

- J. Sánchez-Curto, Pedro Chamorro-Posada, G. S. McDonald
- Optics letters
- 2010

The refraction of dark solitons at a planar boundary separating two defocusing Kerr media is simulated and analyzed, for the first time (to our knowledge). Analysis is based on the nonlinear Helmholtz equation and is thus valid for any angle of incidence. A new law, governing refraction of black solitons, is combined with one describing bright soliton… (More)

- Pedro Chamorro-Posada, G. S. McDonald
- Physical review. E, Statistical, nonlinear, and…
- 2006

The theory of spatial Kerr solitons is extended to colliding beams that are neither almost-exactly copropagating nor almost-exactly counterpropagating. Our new Helmholtz formalism yields results that are consistent with the inherent symmetry of the collision process and that are not predicted by existing paraxial descriptions. Full numerical and approximate… (More)

- Pedro Chamorro-Posada, G. S. McDonald
- Optics letters
- 2003

A general dark-soliton solution of the Helmholtz equation (with defocusing Kerr nonlinearity) that has on- and off-axis, gray and black, paraxial and Helmholtz solitons as particular solutions, is reported. Modifications to soliton transverse velocity, width, phase period, and existence conditions are derived and explained in geometrical terms. Simulations… (More)

Refraction of black and gray solitons at boundaries separating different defocusing Kerr media is analyzed within a Helmholtz framework. A universal nonlinear Snell’s law is derived that describes gray soliton refraction, in addition to capturing the behavior of bright and black Kerr solitons at interfaces. Key regimes, defined by beam and interface… (More)

- Pedro Chamorro-Posada, Francisco Javier Fraile-Peláez
- Optics letters
- 2009

We analyze fast- and slow-light transmission in a zigzag microring resonator chain. In the superluminal case, a new light-transmission effect is found whereby the input optical pulse is reproduced in an almost-simultaneous manner at the various system outputs. When the input carrier is tuned to a different frequency, the system permits to slow down the… (More)

- Juan Carlos García-Escartín, Pedro Chamorro-Posada
- Quantum Information & Computation
- 2006

We show that universal quantum logic can be achieved using only linear optics and a quantum shutter device. With these elements, we design a quantum memory for any number of qubits and a CNOT gate which are the basis of a universal quantum computer. An interaction-free model for a quantum shutter is given.

- F. J. Díaz-Otero, Pedro Chamorro-Posada
- 2008 9th International Conference on Laser and…
- 2008

We study the effects of third-order dispersion in wavelength division multiplexed soliton transmission systems using periodic dispersion maps. For this purpose, loss and lumped amplification have been included in a previous ODE model obtained using the variational method and a Gaussian ansatz. We present a detailed analysis of how TOD affects the… (More)

- Jung Christian, G. S. McDonald, Timothy F. Hodgkinson, Pedro Chamorro-Posada
- Physical review letters
- 2012

A generic nonparaxial model for pulse envelopes is presented. Classic Schrödinger-type descriptions of wave propagation have their origins in slowly-varying envelopes combined with a Galilean boost to the local time frame. By abandoning these two simplifications, a picture of pulse evolution emerges in which frame-of-reference considerations and space-time… (More)

The behaviour of optical solitons at planar nonlinear boundaries is a problem rich in intrinsically nonparaxial regimes that cannot be fully addressed by theories based on the nonlinear Schrödinger equation. For instance, large propagation angles are typically involved in external refraction at interfaces. Using a recently proposed generalised Snell’s law… (More)