Generation of two kinds of optical chains with multi-zone fan-shaped filter

Based on the vector diffraction theory, two kinds of ultra-long transversally polarized optical chains are obtained by tight focusing double-ring azimuthally polarized Laguerre-Gaussian beams with multi-zone fan-shaped filter in a single lens system. One kind of optical chain is consisted by interconnected optical black spots arrays, and we call it as dark optical chain. In the dark optical chain, the axial length extends to 28λ when lateral full-width is 1.8λ at half-maximum, and the volume of black spots is about 3.45λ3. The other is consisted by isolated bright spots arrays, and we call it as bright optical chain. In the bright optical chain, the axial length extends to 32λ when lateral full-width is 0.478λ at half-maximum, and the volume of bright spots is about 1.18λ3. In addition, the flexible inter-conversion can be realized between the two kinds of optical chains by changing truncation parameters of incident beams. And the length of optical chains can be further extended by increasing the number of fans in multi-zone fan-shaped filter.