Dr. Tingyao Xiong
Radford University, USA
Title:
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 
Biography:
Dr. Tingyao Xiong, is currently an Associate Professor at Radford University, U.S.A. She got her Bachelor’s Degree in Mathematics from Nanjing University in China. She continued her study in Mathematics and Statistics at Michigan State University, where she got her Ph.D. degree under the supervision of Professor Jonathan Hall. Dr. Xiong’s Ph.D. dissertation was funded by U.S. NSF with award # 0601621. Dr. Xiong is an active scholar with wide research interest in area of Number Theory, Combinatorics, Information Theory and Financial Mathematics. She has given presentations on various international conferences including AMS Joint Meeting and IEEE ISIT.