Simultaneous optical wavelength interchange with a two-dimensional second-order nonlinear photonic crystal

Chowdhury, Aref; Hagness, Susan C.; McCaughan, L.

doi:10.1364/ol.25.000832

Cited by 57 publications

(29 citation statements)

References 10 publications

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“…But this is true under the assumption that the interaction takes place over a very large area compared to the associated wavelengths-that is, for photons with exact momentum. Indeed, this was the regular assumption for the design and analysis of 2-D NPCs [4], [5], [10]. However, allowing (for the realistic) restriction of the interaction width, as exemplified by the use of regular Gaussian beams (or any other finite width beams such as a Bessel beam or a top-hat beam), the photons acquire uncertainty in the transverse direction and phase-matching is possible even if only the longitudinal component of an RLV matches the phase mismatch value.…”

Section: Projection-based Qpmmentioning

confidence: 99%

“…3. To find the answer to the equivalent geometrical question we do the following: the numerator and denominator of each of the line parameters are multiplied by a common integer (10) such that they are now relatively prime, that is they have no common divisor except for 1. In other words, their greatest common divisor (gcd) is 1 .…”

Section: B Possibilities For Phase Matchingmentioning

confidence: 99%

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Analysis of Colinear Quasi-Phase-Matching in Nonlinear Photonic Crystals

Bahabad

Voloch²,

Arie³

2008

IEEE J. Quantum Electron.

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Abstract-Standard quasi-phase-matching (QPM) schemes assume exact momentum relations between the interacting beams, thus necessitating the direct use of a reciprocal lattice vector to satisfy momentum balance. Usage of finite width beams for colinear interactions permits to use a projection of the reciprocal lattice vector along the propagation direction of the beams. We analytically derive this result and exam the new options given by this projection-based QPM for the analysis and design of nonlinear optical devices.

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Section: Projection-based Qpmmentioning

confidence: 99%

Section: B Possibilities For Phase Matchingmentioning

confidence: 99%

Analysis of Colinear Quasi-Phase-Matching in Nonlinear Photonic Crystals

Bahabad

Voloch²,

Arie³

2008

IEEE J. Quantum Electron.

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“…The phenomenon of wavelength exchanging refers to the simultaneous exchange of power between two signals on different wavelengths [3,13,30]. Wavelength exchanging has been theoretically and experimentally demonstrated using various technologies such as four-wave mixing (FWM) [13,30] and 2-D periodic χ (2) nonlinear photonic crystals [3].…”

Section: Wavelength Exchanging Optical Crossbarmentioning

confidence: 99%

“…Wavelength exchanging has been theoretically and experimentally demonstrated using various technologies such as four-wave mixing (FWM) [13,30] and 2-D periodic χ (2) nonlinear photonic crystals [3]. In [7], different wavelength exchanging technologies are abstracted into a logical device called wavelength exchange optical crossbar (WOC).…”

Section: Wavelength Exchanging Optical Crossbarmentioning

confidence: 99%

Optimizing complexity in Benes-type WDM switching networks

Hamza

2008

Photon Netw Commun

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In this paper, we propose a new Benes-type wavelength division multiplexing (WDM) optical network with space-wavelength switching capability. Intuitively, adding wavelength switching capability to space Benes networks requires the use of additional hardware components (i.e., wavelength converters). However, in this paper, we show that a Benes network with full-permutation capability in both space and wavelength domains can be designed using a smaller number of hardware components but the same number of stages as that in a space-only Benes network. In addition, wavelength conversion in the proposed network occurs only between two pre-defined wavelengths, eliminating the need for any expensive wide-range wavelength converters. The proposed Benes network is based on the newly proposed concept of wavelength-exchangeable permutation networks. Wavelength-exchangeable networks implement single-step space and wavelength switching and hence reduces the number of hardware components. We show that, such wavelengthexchangeable networks possess some interesting properties that can be used for designing routing algorithms to improve signal quality.

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“…Both theoretical and experimental results published so far show that this kind of structures can effectively be employed as a host media for realizing many different types of multistep-cascading parametric processes (see, e.g., Broderick, Ross, Offerhaus, Richardson, and Hanna [2000]; Saltiel and Kivshar [2000a]; de Sterke, ; Chowdhury, Hagness, and McCaughan [2000]). Below, we discuss some of the possible application of these 2D structures for multistep parametric interaction and multi-frequency generation.…”

Section: Quadratic 2d Nonlinear Photonic Crystalsmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

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We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.

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Simultaneous optical wavelength interchange with a two-dimensional second-order nonlinear photonic crystal

Cited by 57 publications

References 10 publications

Analysis of Colinear Quasi-Phase-Matching in Nonlinear Photonic Crystals

Analysis of Colinear Quasi-Phase-Matching in Nonlinear Photonic Crystals

Optimizing complexity in Benes-type WDM switching networks

Multistep parametric processes in nonlinear optics

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