Observation of the optical components inherent in multi-wave non-collinear acousto-optical coupled states

Alexandre S. Shcherbakov; A. Aguirre Lopez

doi:10.1364/OE.10.001398

Optics Express
Vol. 10,
Issue 24,
pp. 1398-1403
(2002)
•https://doi.org/10.1364/OE.10.001398

Observation of the optical components inherent in multi-wave non-collinear acousto-optical coupled states

Alexandre S. Shcherbakov and A. Aguirre Lopez

Open Access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Alexandre S. Shcherbakov and A. Aguirre Lopez, "Observation of the optical components inherent in multi-wave non-collinear acousto-optical coupled states," Opt. Express 10, 1398-1403 (2002)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Three- and four-wave spatial Bragg solitons in the form of weakly coupled states, originating with one- and two-phonon non-collinear scattering of light in anisotropic medium, are uncovered. The spatial-frequency distributions of their optical components are investigated both theoretically and experimentally.

Full Article | PDF Article

More Like This

Collinear dissipative weakly coupled acousto-optical states governed by the acoustic waves of finite amplitude in a two-mode medium with linear optical losses

Alexandre S. Shcherbakov, Adan Omar Arellanes, and Sergey A. Nemov
J. Opt. Soc. Am. B 31(5) 953-962 (2014)

Shaping the optical components of solitary three-wave weakly coupled states in a two-mode waveguide

Alexandre S. Shcherbakov and A. Aguirre Lopez
Opt. Express 11(14) 1643-1649 (2003)

Features of the three-phonon acousto-optical interaction due to elastic waves of finite amplitude and an advanced spectrum analysis of optical signals

A. S. Shcherbakov and A. O. Arellanes
J. Opt. Soc. Am. B 33(9) 1852-1864 (2016)

Previous Article Next Article

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.

Fig. 1. Spatial-frequency distributions for optical components in a two-pulse three-wave weakly coupled state with q = 1, I = 1, n = 2, and L = 2π : (a) the zero-th order of scattering; (b) the first order of scattering. The distribution (b) is locked with η = 0 .

Download Full Size | PDF

Fig. 2. Distributions for the triplet of optical components in a multi-pulse four-wave weakly coupled state with q = 1, I = 1, and x = 2π : a five-pulse component of incident light in the zero-th order of scattering (a); a ten-pulse component in the first order (b); a five-pulse component in the second order (c). The distributions (b) and (c) are completely locked with η₁ = 0 .

Download Full Size | PDF

Fig. 3. Schematic arrangement of the experiment (a) and the simplest distribution of optical components inside the rectangular acoustic pulse for a non-collinear four-wave weakly coupled state (b), see Eqs. (7) with n = 1.

Download Full Size | PDF

Fig. 4. Oscilloscope traces for the intensities of the optical components in three-wave coupled states (m = 1, 2) versus the product qx at various values of the frequency detuning Δf.

Download Full Size | PDF

Fig. 5. Oscilloscope traces for the intensities of the optical components in four-wave coupled states versus the product qx at various values of the frequency detuning Δf.

Download Full Size | PDF

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

\frac{d C_{0}}{dx} = - q_{1} C_{1} \exp (2 iηx), \frac{d C_{1}}{dx} = q_{0} C_{0} \exp (- 2 iηx) .

{∣ C_{0} ∣}^{2} = \frac{η^{2}}{q^{2} + η^{2}} + \frac{q^{2}}{q^{2} + η^{2}} \cos^{2} (x \sqrt{q^{2} + η^{2}}), {∣ C_{1} ∣}^{2} = \frac{q^{2}}{q^{2} + η^{2}} \sin^{2} (x \sqrt{q^{2} + η^{2}}) .

\frac{d C_{0}}{dx} = - q C_{1} \exp (- i η_{0} x),

\frac{d C_{1}}{dx} = q [C_{0} \exp (i η_{0} x) - C_{2} \exp (- i η_{1} x],

\frac{d C_{2}}{dx} = q C_{1} \exp (i η_{1} x) .

C_{0} (x) = iI {1 + \frac{q^{2} (η - a_{0})}{a_{0} (a_{0} - a_{1}) (a_{0} - a_{2})} [1 - \exp (- i a_{0} x)] -

- \frac{q^{2} (η - a_{1})}{a_{1} (a_{2} - a_{1}) (a_{0} - a_{1})} [1 - \exp (- i a_{1} x)] + \frac{q^{2} (η - a_{2})}{a_{2} (a_{2} - a_{1}) (a_{0} - a_{2})} [1 - \exp (- i a_{2} x)]},

C_{1} (x) = \frac{qI (η - a_{0})}{(a_{0} - a_{1}) (a_{0} - a_{2})} \exp [i (η_{0} - a_{1}) x] -

- \frac{qI (η - a_{1})}{(a_{2} - a_{1}) (a_{0} - a_{1})} \exp [i (η_{0} - a_{1}) x] + \frac{qI (η - a_{2})}{(a_{2} - a_{1}) (a_{0} - a_{2})} \exp [i (η_{0} - a_{2}) x]},

C_{2} (x) = i q^{2} I {\frac{1 - \exp [i (η - a_{0}) x]}{(a_{0} - a_{1}) (a_{0} - a_{2})} + \frac{1 - \exp [i (η - a_{0}) x]}{(a_{2} - a_{1}) (a_{0} - a_{1})} - \frac{1 - \exp [i (η - a_{0}) x]}{(a_{2} - a_{1}) (a_{0} - a_{2})}} .

{∣ C_{0} (x) ∣}^{2} = \cos^{4} (\frac{qx}{\sqrt{2}}), {∣ C_{1} (x) ∣}^{2} = {\frac{1}{2} \sin}^{2} (qx \sqrt{2}), {∣ C_{2} (x) ∣}^{2} = \sin^{4} (\frac{qx}{\sqrt{2}}) .

Abstract

Cited By

Figures (5)

Equations (11)

Optics Express