Spectral singularity of partially coherent circular edge dislocation beam in biological tissue

Based on the derived analytical expression of the spectrum of partially coherent circular edge dislocation beams transmitting in biological tissue, the influence of the spatial coherence length σ0, circular edge dislocation number n and the field point position on the spectral singularity changes has been analyzed, respectively. It is shown that the spectral change of the partially coherent beam at different transmission positions occurs as spectral blue shifts, spectral red shifts and spectral jumps. The spectral changes of partially coherent circular edge dislocation beams exhibit diversity in shallow biological tissues; the greater n infers the more noticeable spectral change, and the larger σ0 displays the longer transformation process. The final spectral change stabilizes as a blue shift in the near-axis region and a red shift in the far-axis region. The larger σ0 and the smaller n correspond to the larger spectral jump variable and the longer-lasting jump phenomenon.