| The self-accelerating beams have the characteristics of non-diffraction and selfreconstruction,and have the potential value of application in such fields as micromanipulations of particles,surface plasmon polaritons and microscopic imaging.Based on the application of self-accelerating beams in fluorescence microscopy,with the goal of producing suitable beams with adjustable characteristics,this paper systematically research the production and control of self-accelerating beams in order to achieve highresolution three-dimensional fluorescence microscopy imaging.Firstly,starting from the Helmholtz equation,this paper theoretically derivates the wave packets of Airy function and Bessel function,then analyzes the conversion conditions of Bessel-like beams and Airy beams in the frequency domain.Using phase modulation of Gaussian beam in the frequency domain,self-accelerating beams are produced successfully.What's more,this paper theoretically describes the non-diffraction,self-acceleration,and self-healing characteristics of Airy beams.Based on control theory in the frequency domain,the modulation of the beam propagation characteristics is achieved by changing phase mask on the spatial light modulator located on the spectrum plane.By changing the scale of phase mask,the lateral scale and self-bending trajectory of Airy beam are adjusted.The blaze grating is superimposed on the phase mask to achieve a linear skew of the trajectory.The phase factor related to the propagation distance is added to phase mask to realize the adjustment of the spatial position of the beam.By changing the position of Gaussian beam,the spatial energy distribution of the light field is adjusted.Finally,based on the traditional inverted fluorescence microscope,the Gaussian point spread function is modulated with cubic phase in the frequency domain to product the point spread function with self-accelerating characteristics.In order to further improve the imaging resolution,the shape of the point spread function is adjusted by changing the modulation phase.Without changing the self-acceleration characteristics,the outline of the point spread function is reduced.The point spread functions which is suitable for high resolution and large depth of three-dimensional microscopic imaging are successfully constructed.Using self-accelerating point spread function,this paper perform optical projection imaging on the sample.Combined with the reconstruction algorithm,the threedimensional imaging of the fluorescent nanoparticles is realized. |
