A circular system of coupled waveguides and an optical analogue of bloch oscillations

Usievich, B. A.; Sychugov, V A; Nirligareev, J. Kh.; Golant, K. M.

doi:10.1134/1.1828630

Cited by 19 publications

(18 citation statements)

References 9 publications

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“…Finally, the third class of optical analogues is related to solid-state physics and include Bloch oscillations [85][86][87][88][89][90][91][92][93][94], Zener tunnelling [95][96][97][98][99], Anderson localization [100][101][102], dynamic localization [103][104][105][106][107][108][109][110][111][112][113], surface physics [114][115][116][117][118][119][120][121][122][123][124][125], and others [126][127][128]. One should perhaps also mention that the research on photonic crystals, started in the late of 1980's, borrowed many ideas and concepts from solidstate physics.…”

Section: Overview On Quantum-optical Analogiesmentioning

confidence: 99%

Quantum‐optical analogies using photonic structures

Longhi¹

2009

Laser & Photonics Reviews

680

579

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Engineered photonic waveguides have provided in the past decade an extremely rich laboratory tool to visualize with optical waves the classic analogues of a wide variety of coherent quantum phenomena encountered in atomic, molecular or condensed-matter physics. As compared to quantum systems, optics offers the rather unique advantage of a direct mapping of the wave function evolution in coordinate space by simple fluorescence imaging or scanning tunneling optical microscopy techniques. In this contribution recent theoretical and experimental advances in the field of quantum-optical analogies are reviewed. Special attention is devoted to some relevant optical analogies based on the use of curved photonic structures, including: coherent destruction of tunneling in driven bistable potentials; coherent population transfer and adiabatic passage in laser-driven multilevel atomic systems; quantum decay control and Zeno dynamics; electronic Bloch oscillations and Zener tunneling, Anderson localization and dynamic localization in crystalline potentials. Curvilinear Propagation distance (cm) u u ( m) m 8 6 4 2 0 0 20 40 60 Curvilinear Propagation distance (cm) u Beam Center of Mass n > > 0 2 4 6 8 0 2 4 6 8 10 u u 0 Input Beam R a Optical analogue of quantum particle bouncing on a lattice under the gravitational field. A light wave packet periodically bounces the edge of a circularly-curved waveguide array, showing collapses and revivals.

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Section: Overview On Quantum-optical Analogiesmentioning

confidence: 99%

Quantum‐optical analogies using photonic structures

Longhi¹

2009

Laser & Photonics Reviews

680

579

View full text Add to dashboard Cite

show abstract

“…It causes the beam to move across the structure where it experiences Bragg reflection on the high-index and total internal reflection on the lowindex side of the structure, resulting in an optical analogue of Bloch oscillations. These experiments have recently been followed by the observations of tunneling in one-dimensional waveguide arrays [11,12]. It was demonstrated that for a small spectral gap even with a moderate strength of the index gradient, reasonably high transmission rates from the first to the higher-order bands can be achieved facilitating a direct observation of the optical Zener tunneling.…”

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confidence: 99%

Bloch Oscillations and Zener Tunneling in Two-Dimensional Photonic Lattices

et al. 2006

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We report on the first experimental observation of photonic Bloch oscillations and Zener tunneling in two-dimensional periodic systems. We study the propagation of an optical beam in a square photonic lattice superimposed on a refractive index ramp, and demonstrate the tunneling of light from the first to the higher-order transmission bands of the lattice bandgap spectrum, associated with the spectral dynamics inside the first Brillouin zone and corresponding oscillations of the primary beam.

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“…[9,10]. The usual Bloch oscillations on a curved waveguide array may be therefore viewed as a limiting case of Bloch oscillations on a polygonal array.…”

Section: A Discrete Bessel Beams In One-dimensional Arraysmentioning

confidence: 99%

Discrete diffraction and shape-invariant beams in optical waveguide arrays

Longhi

2009

Phys. Rev. A

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General properties of linear propagation of discretized light in homogeneous and curved waveguide arrays are comprehensively investigated and compared to those of paraxial diffraction in continuous media. In particular, general laws describing beam spreading, beam decay and discrete far-field patterns in homogeneous arrays are derived using the method of moments and the steepest descend method. In curved arrays, the method of moments is extended to describe evolution of global beam parameters. A family of beams which propagate in curved arrays maintaining their functional shape -referred to as discrete Bessel beams-is also introduced. Propagation of discrete Bessel beams in waveguide arrays is simply described by the evolution of a complex q parameter similar to the complex q parameter used for Gaussian beams in continuous lensguide media. A few applications of the q parameter formalism are discussed, including beam collimation and polygonal optical Bloch oscillations.

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A circular system of coupled waveguides and an optical analogue of bloch oscillations

Cited by 19 publications

References 9 publications

Quantum‐optical analogies using photonic structures

Quantum‐optical analogies using photonic structures

Bloch Oscillations and Zener Tunneling in Two-Dimensional Photonic Lattices

Discrete diffraction and shape-invariant beams in optical waveguide arrays

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