Three-dimensional localized Airy elegant Laguerre–Gaussian light bullets in free space

Dispersion Characteristic of Spatiotemporal Sharply Autofocused Vector Airy-Circular Airy Gaussian Vortex Wave Packets

“…Since the radial symmetry of the VAi and VSAi wave packet, the Schrodinger equation in cylindrical coordinates is more suitable as following [19,24].…”

(3+1)-dimensional localized self-accelerating Airy elegant Ince–Gaussian wave packets and their radiation forces in free space

“…Recently, the research of spatiotemporal optical wave packets or light bullets has also been a fascinating field, especially the application of the Airy function in optical wave packet or light bullet generation: [11][12][13][14][15][16][17] the nondispersion and nondiffraction Airy-Bessel wave packets which combine one Airy function in the time domain and Bessel function in space domain have been reported as versatile linear light bullets by Chong et al; [11] the generation mechanism of Airy-Bessel wave packets in free space have been researched by Ren et al; [12] the realization of spatiotemporal Airy light bullets has been demonstrated by Abdollahpour et al through combining a spatial Airy function and a temporal Airy function. [13] In ad-dition, in the help of the Airy function, the (3+1)-dimensional ((3+1)D) localized Airy elegant Laguerre-Gaussian and Airy elegant Hermite-Gaussian wave packets have been studied respectively by Wu et at.…”

“…[13] In ad-dition, in the help of the Airy function, the (3+1)-dimensional ((3+1)D) localized Airy elegant Laguerre-Gaussian and Airy elegant Hermite-Gaussian wave packets have been studied respectively by Wu et at. [15] and Deng et al [17] On the other hand, to explore the properties and applications of paraxial optical wave packets with elliptic geometry has also been an interesting study field. The elegant Ince-Gaussian (eIG) function that can be regarded as the arithmetic product of Ince polynomials with complex arguments and a Gaussian function has been theoretically demonstrated to be the solution of the paraxial wave equation in elliptic coordinates, [18] and is also complementary to the Ince-Gaussian functions that are the third complete family of exact solutions of the paraxial wave equation in free space.…”