Controlled square optical bottle beam generated by a pair of symmetrical Airy beams induced by continuously regulable phase

We theoretically investigate the generation of square optical bottles, which are generated by a pair of symmetric Airy beams induced by a binary phase pattern. A regulable linear factor is introduced into the phase function to modulate flexibly the size of resulting optical bottle. Numerical simulations are performed and results show that a Gaussian beam can be shaped into a square optical bottle by a tunable binary cubic phase pattern. The linear factor can vary the size of zero or low intensity region of optical bottle. It is believed that the intriguing characteristic of square optical bottle can be applied in many applications such as optical tweezers, atom trapping and manipulating.