Subdiffractive light pulses in photonic crystals

Staliūnas, Kęstutis; Serrat, Carles; Herrero, R.; Cojocaru, C.; Trull, J.

doi:10.1103/physreve.74.016605

Cited by 18 publications

(9 citation statements)

References 28 publications

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“…Study of nonlinear photonic crystals is connected with the possibility of dynamical adjustment of the parameters of the system. Photonic crystals (including two-and three-dimensional) allow to control dispersion and diffraction properties of light [4,5], obtain pulse reshaping [6], pulsed high-harmonic generation [7], etc. The processes of light self-action in such systems result in localization effects such as gap solitons formation, discrete mode existence or light energy localization (see, for example, [8][9][10][11]).…”

Section: Introductionmentioning

confidence: 99%

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Novitsky

2010

Phys. Rev. A

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We theoretically study the effect of pulse trapping inside one-dimensional photonic crystal with relaxing cubic nonlinearity. We analyze dependence of light localization on pulse intensity and explain its physical mechanism as connected with formation of dynamical nonlinear cavity inside the structure. We search for the range of optimal values of parameters (relaxation time and pulse duration) and show that pulse trapping can be observed only for positive nonlinearity coefficients. We suppose that this effect can be useful for realization of optical memory and limiting.

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Section: Introductionmentioning

confidence: 99%

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Novitsky

2010

Phys. Rev. A

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“…Since the zero diffraction point usually occurs only at a specific frequency, pulses with nonzero spectral widths broaden spatially. Pulse propagation in the SC regime has been considered in several studies . The temporal broadening of a Gaussian pulse in time and space was studied at zero diffraction point of a PC, and the possibility of obtaining a group of nonspreading pulses in PCs was illustrated in .…”

Section: Fundamentals Of Self‐collimationmentioning

confidence: 99%

“…Pulse propagation in the SC regime has been considered in several studies . The temporal broadening of a Gaussian pulse in time and space was studied at zero diffraction point of a PC, and the possibility of obtaining a group of nonspreading pulses in PCs was illustrated in . In the search for families of pulses with particular spatiotemporal shapes that are invariant under propagation through photonic crystals, it was shown in that ultrashort pulses (with a pulse width as short as 17 fs) experience both spread in time arising from the PC‐induced dispersion and distortion of the spatial profile.…”

Section: Fundamentals Of Self‐collimationmentioning

confidence: 99%

“…The temporal broadening of a Gaussian pulse in time and space was studied at zero diffraction point of a PC, and the possibility of obtaining a group of nonspreading pulses in PCs was illustrated in . In the search for families of pulses with particular spatiotemporal shapes that are invariant under propagation through photonic crystals, it was shown in that ultrashort pulses (with a pulse width as short as 17 fs) experience both spread in time arising from the PC‐induced dispersion and distortion of the spatial profile. Using a nondiffractive X‐like family of pulses that do not broaden while propagating in space and time alleviates pulse diffraction since dephasing of different spatial components stemming from diffraction and dispersion mutually compensate.…”

Section: Fundamentals Of Self‐collimationmentioning

confidence: 99%

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Self‐Collimation in Photonic Crystals: Applications and Opportunities

2017

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A comprehensive review considering recent advances in self-collimation and its applications in optical integration is covered in the current article. Self-collimation is compared to the conventional technique of photonic bandgap engineering to control the light propagation in photonic crystal-based structures. It is fully discussed how the self-collimation phenomenon can be tailored to be independent of the incident angle and polarization. This adds substantial flexibility to the structure to overcome light coupling challenges and simultaneously aids in the omission of bulk and challenging elements, including polarizers and lenses from optical integrated circuits. Additionally, designed structures have the potential to be rescaled to operate in any desired frequency range thanks to the scalability rule in the field of electromagnetics. Moreover, it is shown that one can boost the coupling efficiency by applying an anti-reflection property to the structure, which provides not only efficient index matching but also the matching between external waves with uniform amplitude and Bloch waves with periodic amplitude.

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“…The zero-diffraction regime can be obtained in different configurations [25,41]. We consider here the case of twodimensional zero diffraction in a cavity filled with a lefthanded and a right-handed material, as studied in [25].…”

Section: Nonlocal Effects In the Mean-field Modelmentioning

confidence: 99%

Beyond the zero-diffraction regime in optical cavities with a left-handed material

et al. 2009

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The combination of right-handed and left-handed materials offers the possibility to design devices in which the mean diffraction is zero. Such systems are encountered, for example, in nonlinear optical cavities, where a true zero-diffraction regime could lead to the formation of patterns with arbitrarily small sizes. In practice, the minimal size is limited by nonlocal terms in the equation of propagation. We study the nonlocal properties of light propagation in a nonlinear optical cavity containing a right-handed and a left-handed material. We obtain a model for the propagation, including two sources of nonlocality: the spatial dispersion of the materials in the cavity, and the higher-order terms of the mean field approximation. We apply these results to a particular case and derive an expression for the parameter fixing the minimal size of the patterns.

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Subdiffractive light pulses in photonic crystals

Cited by 18 publications

References 28 publications

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Pulse trapping inside a one-dimensional photonic crystal with relaxing cubic nonlinearity

Self‐Collimation in Photonic Crystals: Applications and Opportunities

Beyond the zero-diffraction regime in optical cavities with a left-handed material

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