Researching | Model of Raman–Nath acousto-optic diffraction

Journals >Chinese Optics Letters >Volume 13 >Issue 10 >Page 101701 > Article

Chinese Optics Letters
Vol. 13, Issue 10, 101701 (2015)

Model of Raman–Nath acousto-optic diffraction

Cuncheng Weng¹ and Xiaoman Zhang^2、*

Author Affiliations

¹College of Physics and Energy, Fujian Normal University, Fuzhou 350007, China

²College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou 350007, China

show less

DOI: 10.3788/COL201513.101701 Cite this Article Set citation alerts

Cuncheng Weng, Xiaoman Zhang. Model of Raman–Nath acousto-optic diffraction[J]. Chinese Optics Letters, 2015, 13(10): 101701 Copy Citation Text

show less

Abstract

In this Letter, we discuss Raman–Nath acousto-optic diffraction, and a new model of Raman–Nath acousto-optic diffraction is presented. The model is based on the individual and simultaneous occurrences of phase-grating diffraction and the Doppler effect and optical phase modulation and photon–phonon scattering. We find that the optical phase modulation can cause temporal and spatial fluctuations of the diffracted light power escaping from the acoustic field.

n (t, y) = n_{0} [1 + m \sin ω (t + \frac{y}{v})],

(1)

View in Article

E (l, t) = E_{0} \exp (j k n_{0} l) \sum_{q = - \infty}^{+ \infty} J_{q} (k n_{0} l m) \exp [j (ω_{0} + q ω) t] δ (\frac{n_{0} \cos θ}{λ} - \frac{q}{λ_{u}}),

(2)

View in Article

\bar{I_{q}} = E_{0}^{2} J_{q}^{2} (k n_{0} l m) .

(3)

View in Article

w (l, t) = {| \int_{- a}^{a} d x \int_{y - d}^{y + d} d y E_{0} \sum_{q = - \infty}^{\infty} J_{q} (k n_{0} l m) \exp j [k n_{0} l + (ω_{0} + q ω) t] |}^{2} = 16 a^{2} d^{2} E_{0}^{2} {| \sum_{q = - \infty}^{\infty} J_{q} (k n_{0} l m) \exp (j q ω t) |}^{2} .

(4)

View in Article

E_{q} (l, t) = E_{0} α_{q p} \exp (j k n_{0} l) \sum_{p = - \infty}^{+ \infty} J_{q - p} (k n_{0} l m) * \exp [j (ω_{0} + q ω) t] δ (\frac{n_{0} \cos θ}{λ} - \frac{q}{λ_{u}}),

(5)

View in Article

E_{q} (y, l, t) = E_{0} α_{q p} \exp {j k n_{0} l_{q y} [1 + m \sin ω (t + \frac{y}{v})]} * \sum_{p = - \infty}^{+ \infty} J_{q - p} (k n_{0} l m) \exp [j (ω_{0} + q ω) t] δ (\frac{n_{0} \cos θ}{λ} - \frac{q}{λ_{u}}),

(6)

View in Article

\bar{I_{q}} (t) \approx E_{0}^{2} α_{q p}^{2} \sum_{p = - \infty}^{+ \infty} J_{q - p}^{2} (k n_{0} l m) .

(7)

View in Article

w_{q} (y, l, t) = {| \int_{- a}^{a} d x \int_{y - d}^{y + d} d y E_{0} α_{q p} \exp [j k n_{0} l m \sin ω (t + \frac{y}{v})] \sum_{p = - \infty}^{+ \infty} J_{q - p} (k n_{0} l m) \exp [j (ω_{0} + q ω) t] |}^{2} = 4 a^{2} E_{0}^{2} {| \int_{y - d}^{y + d} d y \sum_{c = - \infty}^{+ \infty} J_{c} (k n_{0} l m) \exp [j c ω (t + \frac{y}{v})] |}^{2} • {| \sum_{p = - \infty}^{+ \infty} α_{q p} J_{q - p} (k n_{0} l m) \exp [j (ω_{0} + q ω) t] |}^{2} = \frac{16 a^{2} v^{2} E_{0}^{2}}{ω^{2}} {| \sum_{c = - \infty}^{+ \infty} \frac{J_{c} (k n_{0} l m)}{c} \sin (\frac{c ω d}{v}) \exp [j c ω (t + \frac{y}{v})] |}^{2} • {| \sum_{p = - \infty}^{+ \infty} α_{q p} J_{q - p} (k n_{0} l m) \exp [j (ω_{0} + q ω) t] |}^{2},

(8)

View in Article

Figures&Tables (7)

Copy Citation Text

Cuncheng Weng, Xiaoman Zhang. Model of Raman–Nath acousto-optic diffraction[J]. Chinese Optics Letters, 2015, 13(10): 101701

Download Citation

Set citation alerts for the article

Set citation alerts for the article

Save the article for my favorites

Paper Information

Recommended Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology

Set citation alerts for the article

Please enter your email address