Propagation of self-accelerating Hermite complex-variable-function Gaussian wave packets in highly nonlocal nonlinear me
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ORIGINAL PAPER
Propagation of self-accelerating Hermite complex-variable-function Gaussian wave packets in highly nonlocal nonlinear media Xi Peng · Shangling He · Yingji He · Dongmei Deng
Received: 13 August 2020 / Accepted: 5 October 2020 © Springer Nature B.V. 2020
Abstract The evolution dynamic properties of selfaccelerating Hermite complex-variable-function Gaussian (SHCG) wave packets in highly nonlocal nonlinear media are investigated. Analytical results from a (3 + 1)-dimensional Snyder–Mitchell model show that various SHCG wave packets carrying multi-order vortices rotate smoothly. Increasing the distribution factor will cause the intensity layout to cluster more closely around the center, while the vortices will be farther away. The SHCG wave packets can reverse the positions of their temporal side lobes. The role of the power ratio in determining the rotation period and the angular velocity is also discussed. Furthermore, numerical results of the nonlocal nonlinear Schrödinger equation are simulated to illustrate the effects of different nonlocalities and initial perturbations. The SHCG wave packets show interesting features during propagation, which can provide new ideas for the regulation of the multi-dimensional optical field.
X. Peng · Y. He (B) School of Photoelectric Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China e-mail: [email protected] S. He · D. Deng (B) Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China e-mail: [email protected]
Keywords Propagation · Self-accelerating · Complexvariable-function · Multi-order vortices · Highly nonlocal nonlinear media
1 Introduction As a solution to the Schrödinger equation, the Airy wave packet exhibits remarkable and interesting properties [1], including self-accelerating, self-healing and nondiffracting behavior. In free space, compared with the linear propagation of traditional beam, Airy beam’s propagation trajectory is bent and is not affected by external forces or other potential fields, researchers call it self-accelerating beam. Some Airy-related beams also have self-accelerating property, such as Airy Gaussian beam [1]. Novel self-accelerating wave packets have been explored extensively, from one-dimensional pulses [2] and two-dimensional beams [3] to threedimensional spatiotemporal wave packets [4]. It has been demonstrated that these distinctive wave packets, which have propagation properties that are independent from the ambient environment, are important across the range from fundamental research to practical applications such as particle manipulation [5], imaging [6] and plasmons [7]. The vortex, as a typical optical effect, has attracted considerable attention because of its isolated dark spot structure that carries orbital angular momentum [8]. A topological charge indicates that the phase rotating around the center will change by 2π . Vortex beams with
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topological charges are mutually spatially ort
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