Generation of axially splitted ultra-long multiple optical needles/optical tubes using generalized cylindrical vector Bessel Gaussian beam phase modulated by annular Walsh function filter

Based on vector diffraction theory and annular Walsh function filter, axially splitted ultra-long multiple optical needles/optical tubes of electric as well magnetic field distributions are numerically generated by generalized cylindrical Bessel Gaussian beam phase modulated filter. This structures can be conveniently tailored properly tuning the initial Cylindrical (CVB) order Furthermore, effect energy flux density (Poynting vector) Spin angular momentum(SAM) distribution in focal region theoretically analyzed. We expect that such an systems could applicable trapping manipulation particles, super resolution microscopy etc.