Abstract
We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson-nonlinear Schrödinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achieve the same degree of localization at the edge than in the interior of the array, in agreement with recent experimental observations in the linear regime. However, for relatively strong disorder and/or nonlinearity, this behavior is reversed and it is now easier to localize an excitation at the edge than in the interior.
| Original language | English |
|---|---|
| Article number | 017601 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 85 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 31 2012 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Cite this
Optical surface modes in the presence of nonlinearity and disorder. / Molina, M. I.; Lazarides, N.; Tsironis, G. P.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 85, No. 1, 017601, 31.01.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optical surface modes in the presence of nonlinearity and disorder
AU - Molina, M. I.
AU - Lazarides, N.
AU - Tsironis, G. P.
PY - 2012/1/31
Y1 - 2012/1/31
N2 - We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson-nonlinear Schrödinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achieve the same degree of localization at the edge than in the interior of the array, in agreement with recent experimental observations in the linear regime. However, for relatively strong disorder and/or nonlinearity, this behavior is reversed and it is now easier to localize an excitation at the edge than in the interior.
AB - We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson-nonlinear Schrödinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achieve the same degree of localization at the edge than in the interior of the array, in agreement with recent experimental observations in the linear regime. However, for relatively strong disorder and/or nonlinearity, this behavior is reversed and it is now easier to localize an excitation at the edge than in the interior.
UR - http://www.scopus.com/inward/record.url?scp=84856668722&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84856668722&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.85.017601
DO - 10.1103/PhysRevE.85.017601
M3 - Article
VL - 85
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 1
M1 - 017601
ER -