Evolution properties of twisted Hermite Gaussian Schell-model beams in non-Kolmogorov turbulence

Abstract

A general form of twisted Hermite Gaussian Schell-model (THGSM) beams is introduced; analytical expressionsare obtained for cross-spectral density and M2-factor using the extended Huygens–Fresnel principle and Wigner function. The evolution of THGSM beams during propagation in non-Kolmogorov turbulence is shown numerically; the beams exhibit self-splitting and twist into two lobes. The intensity distribution evolves into a Gaussian shape and beam quality worsens with increasing distance; the intensity distribution and M2-factor are determined by the twist factor, beam orders, and other beam parameters. THGSM beams provide more degrees of freedom to regulate beam parameters, thereby enriching the types of partially coherent beams.

The Evolution Characteristics of Twisted Hermite–Gaussian Schell-Model Beams Propagating in a Uniaxial Crystal

“…Next, the evolutionary characteristics of the spectral intensity and the coherent structure of THGSM beams propagating in a uniaxial crystal are simulated and analyzed according to Equation (16) and Equation (17). In the following simulations, except for special instructions, the parameters take the following values λ = 632.8 nm, σ = 5 × 10 −3 µm −2 , α = 80 µm 2 , and n o = 2.616.…”

“…cording to Equation ( 16) and Equation (17). In the following simulations, except for special instructions, the parameters take the following values λ = 632.8 nm, σ = 5 × 10 −3 µm −2 , α = 80 µm 2 , and no = 2.616.…”

“…Since the discovery of non-uniform correlated beams [11], their research has received widespread attention, especially in recent years, and has shown that the non-uniformly correlated beam can realize self-focusing and self-shifting [12], and the optical coherence lattices [13] which can be used to generate far-field arrays of structured random beams [14] can realize the periodicity reciprocity [15]. Twisted Hermite-Gaussian Schell model (THGSM) beams have been introduced [16] and generated experimentally [17], and it has been revealed that THGSM beams have many superior properties relative to other partially coherent beams. For example, it can realize the adjustment of the number of light spots at the source plane, and the THGSM beams simultaneously possess self-splitting and rotation properties, and it can also maintain these characteristics when it propagates in turbulence.…”