TITLE:
Binary Phase Shaping and SHG Contrast Ratios
AUTHORS:
Tingyao Xiong
KEYWORDS:
Binary Phase Shaping, Binary Sequences, SHG Contrast Ratio, Merit Factor
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.8,
August
30,
2024
ABSTRACT: Finding binary sequences with Large SHG ratios is very important in the field of ultrafast science, biomedical optics, high-resolution microscopy and label-free imaging. In this paper, we have demonstrated the relation between the SHG contrast ratio and the traditional Merit Factor values. And in the light from known results in Merit Factor Problems, we have shown that Legendre Sequences or Jacobi Sequences, are still the best candidates to obtain binary sequences with large SHG contrast ratios. The authors also discussed the SHG behaviors on some sequences obtained from cyclotomic classes over the finite field GF (2l) .