Effect of long-range correlated disorder on the transverse localization of light in 1D array of optical waveguides

Nezhad, Mehdi Khazaei; Mahdavi, Seyed Mohammad; Bahrampour, Abbas; Golshani, Mojtaba

doi:10.1016/j.optcom.2013.06.004

Cited by 5 publications

(4 citation statements)

References 42 publications

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“…It was shown that the second moment of the spatial distribution of the energy displays a ballistic regime when α > α c , in agreement with the presence of extended vibrational modes. We emphasize that these results demonstrating the possibility of fast transport in low-dimension systems has motivated several experimental investigations [31][32][33][34][35][36][37]. Therefore, the direct relation between the nature of eigenmodes and the degree of correlations within the disorder distribution represent an interesting challenger within the context of low-dimensional disordered systems.…”

Section: Introductionmentioning

confidence: 83%

Delocalized Vibrational Modes in Disordered Harmonic Chains with Correlated Spring Constants

Júnior¹,

Lyra²,

Moura³

2015

Acta Phys. Pol. B

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We address the question regarding the effect of correlated random spring constants in the one-dimensional harmonic model. We consider all masses to be equal but the spring constants given by a random sequence with long-range correlations. We generate the long-range correlated sequence of spring constants by using a fractional Brownian motion with a power-law spectral density S(k) = 1/k α . Using an exact diagonalization formalism, we compute the participation moments of eigenmodes within the band of allowed frequencies. We unveil a regime on which all modes below a critical frequency become extended.

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Section: Introductionmentioning

confidence: 83%

Delocalized Vibrational Modes in Disordered Harmonic Chains with Correlated Spring Constants

Júnior¹,

Lyra²,

Moura³

2015

Acta Phys. Pol. B

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“…However, to fabricate and design an advanced lowdimensional system on a large scale is mandatory to take into consideration the structural disorder present at the heterointerface and in the epitaxial layers. In addition to this, the physical properties and related phenomena such as optical properties [31][32][33][34][35][36][37] are governed by the quality of disorders and can be changed dramatically, when the disorder is presented in low-dimensional systems [2,[38][39][40][41][42][43][44][45][46][47][48]. For instance, Nezhad et al [40] investigated numerically the effects of disordered optical waveguide arrays in the presence and absence of the positive Kerr nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

“…In addition to this, the physical properties and related phenomena such as optical properties [31][32][33][34][35][36][37] are governed by the quality of disorders and can be changed dramatically, when the disorder is presented in low-dimensional systems [2,[38][39][40][41][42][43][44][45][46][47][48]. For instance, Nezhad et al [40] investigated numerically the effects of disordered optical waveguide arrays in the presence and absence of the positive Kerr nonlinearity. Furthermore, Sasaki et al [41] analyzed and compared photoluminescence in ordered and disordered thin-layer GaAs/AIAs superlattices.…”

Section: Introductionmentioning

confidence: 99%

Disorder effect on intersubband optical absorption of n-type δ-doped quantum well in GaAs

Noverola-Gamas,

Macias Rojas,

Azalim

et al. 2023

J. Phys.: Condens. Matter

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The inevitable structural disorder associated with the fluctuation of the applied external electric field, laser intensity, and bidimensional density in the low dimensional quantum system can affect noticeably optical absorption properties and the related phenomena. In this work, we study the effect of structural disorder on the optical absorption properties in delta-doped quantum wells (DDQWs). Starting from effective mass approximation and the Thomas-Fermi approach as well as using the matrix density, the electronic structure and the optical absorption coefficients of DDQWs are determined. It is found that the optical absorption properties depend on the strength and the type of structural disorder. Particularly, the bidimensional density disorder suppresses strongly the optical properties. Whilst, the disordered external applied electric field fluctuates moderately in the properties. In contrast, the disordered laser holds absorption properties unalterable. So, our results specify that to have and preserve good optical absorption properties in DDQWs, requires precise control of the bidimensional. Besides, the finding may improve the understanding of the impact of the disorder on the optoelectronic properties based on DDQWs.

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“…There is a common point of view that the strongest localization is obtained for strongly disordered uncorrelated potentials, which is based on the prediction that correlations suppress, rather than enhance, localization. In some specific situations [24][25][26][27], however, a strong decrease of the localization length and therefore a strong enhancement of localization has been observed, when the long-range correlated disorder is introduced into the Hermitian Hamiltonian system. In spite of a large number of publications devoted to this topic, the problem of understanding the effects of spatial correlations on Anderson localization has not been completely resolved yet.…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation and Localization in a Complex Random Potential with Power-law Correlations: A Numerical Study

Nguyen¹,

Dang²

2020

MaP

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In this paper, we investigate numerically wave propagation and localization in a complex random potential with power-law correlations. Using a discrete stationary Schrӧdinger equation with the simultaneous presence of the spatial correlation and the non-Hermiticity of the random potential in the diagonal on-site terms of the Hamiltonian, we calculate the disorder-averaged logarithmic transmittance and the localization length. From the numerical analysis, we find that the presence of power-law correlation in the imaginary part of the on-site disordered potential gives rise to the localization enhancement as compared with the case of absence of correlation. Depending on the disorder's strength, we show that there exist different behaviors of the dependence of the localization on the correlation strength.

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Effect of long-range correlated disorder on the transverse localization of light in 1D array of optical waveguides

Cited by 5 publications

References 42 publications

Delocalized Vibrational Modes in Disordered Harmonic Chains with Correlated Spring Constants

Delocalized Vibrational Modes in Disordered Harmonic Chains with Correlated Spring Constants

Disorder effect on intersubband optical absorption of n-type δ-doped quantum well in GaAs

Wave Propagation and Localization in a Complex Random Potential with Power-law Correlations: A Numerical Study

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