Coupling of Optical Fibers and Scattering in Fibers*

Jones, Andrew

doi:10.1364/josa.55.000261

Cited by 229 publications

(132 citation statements)

References 11 publications

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“…Next, we consider an initial state that is localized to two adjacent waveguides, with a phase difference φ between the two, α m = cos θδ m0 +sin θe iφ δ m1 . The analytical result for the site-and time-dependent intensity is given by (9) where τ (t) = (4C/δβ) sin(δβt/2) and the last term in the intensity arises as a result of the interference between the two inputs. To quantify this interference, we consider the time-dependent average and standard deviation of the position, which, for an infinite array, can be simplified to…”

Section: G(t)mentioning

confidence: 99%

“…The resulting "diffraction management" [8] makes evanescently coupled waveguides a paradigm for the realization of a quantum particle hopping on one or two dimensional lattices, and permits the observation of quantum and condensed matter phenomena in macroscopic samples using electromagnetic waves. One can engineer such a waveguide array to a e-mail: gvemuri@iupui.edu, yojoglek@iupui.edu model any desired form of tight-binding, non-interacting Hamiltonian, because the local index of refraction and the width of the waveguide determine the on-site potential for the Hamiltonian while the tunneling amplitude from one site to its adjacent site can be changed by changing the separation between adjacent waveguides [9][10][11]. A variation in the index of refraction or the tunneling amplitude, both of which can be introduced easily, permit the modeling of a tight-binding Hamiltonian with site or bond disorders respectively.…”

Section: Introductionmentioning

confidence: 99%

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Optical waveguide arrays: quantum effects and PT symmetry breaking

Joglekar

Thompson

Scott

et al. 2013

Eur. Phys. J. Appl. Phys.

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Abstract. Over the last two decades, advances in fabrication have led to significant progress in creating patterned heterostructures that support either carriers, such as electrons or holes, with specific band structure or electromagnetic waves with a given mode structure and dispersion. In this article, we review the properties of light in coupled optical waveguides that support specific energy spectra, with or without the effects of disorder, that are well-described by a Hermitian tight-binding model. We show that with a judicious choice of the initial wave packet, this system displays the characteristics of a quantum particle, including transverse photonic transport and localization, and that of a classical particle. We extend the analysis to non-Hermitian, parity and time-reversal (PT ) symmetric Hamiltonians which physically represent waveguide arrays with spatially separated, balanced absorption or amplification. We show that coupled waveguides are an ideal candidate to simulate PT -symmetric Hamiltonians and the transition from a purely real energy spectrum to a spectrum with complex conjugate eigenvalues that occurs in them.

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Section: G(t)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optical waveguide arrays: quantum effects and PT symmetry breaking

Joglekar

Thompson

Scott

et al. 2013

Eur. Phys. J. Appl. Phys.

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“…/4]/ л 2) и может достигать 1 (полная трансформация). Подобная симметричная линейная, модель реализуется также в задаче о двух связанных световодах 165 . Однако наиболее подробно она исследована в задачах о неадиабатических переходах в квантовых системах, см.…”

Section: тс юunclassified

Linear coupling of electromagnetic waves in inhomogeneous weakly-ionized media

Zheleznyakov¹,

Kocharovskii²,

Kocharovskii³

1983

Uspekhi Fizicheskikh Nauk

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“…This interest is a result of being able to observe quantum phenomena on a length-scale of a few millimeters, the typical length of a waveguide, as the discrete Schrödinger equation for a particle on a lattice is identical to the longitudinal component of the Helmholtz equation for the electric field in an array of waveguides [9,10]. Non-classical states of light have also been used to study quantum properties of light propagating through waveguide arrays [2,3,8,11].…”

Section: Introductionmentioning

confidence: 99%

Disorder effects in tunable waveguide arrays with parity-symmetric tunneling

Thompson¹,

Joglekar²,

Vemuri³

2012

Phys. Rev. A

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We investigate the effects of disorder on single particle time-evolution and two-particle correlations in an array of evanescently coupled waveguides with position-dependent tunneling rates.In the clean limit, the energy spectrum of such an array is widely tunable. In the presence of a Hermitian on-site or tunneling disorder, we find that the localization of a wave packet is highly sensitive to this energy spectrum. In particular, for an input confined to a single waveguide, we show that the fraction of light localized to the original waveguide depends on the tunneling profile.We compare the two-particle intensity correlations in the presence of Hermitian, tunneling disorder and non-Hermitian, parity-and-time-reversal (PT ) symmetric, on-site potential disorder. We show the two-particle correlation function in both cases is qualitatively similar, since both disorders preserve the particle-hole symmetric nature of the energy spectrum.

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Coupling of Optical Fibers and Scattering in Fibers*

Cited by 229 publications

References 11 publications

Optical waveguide arrays: quantum effects and PT symmetry breaking

Optical waveguide arrays: quantum effects and PT symmetry breaking

Linear coupling of electromagnetic waves in inhomogeneous weakly-ionized media

Disorder effects in tunable waveguide arrays with parity-symmetric tunneling

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