An inverse problem arising from polarimetric measurements of nematic liquid crystals
Time: 2015-09-28
Published By:
Speaker(s): Dr. Basang Tsering-xiao (School of Mathematical Science, PKU)
Time: 00:00-00:00 September 28, 2015
Venue: Room 9 at Quan Zhai, BICMR
Title: An inverse problem arising from polarimetric measurements of nematic liquid crystals
Speaker: Dr. Basang Tsering-xiao (School of Mathematical Science, PKU)
Time: 14:00--15:00, September 28
Venue: Room 9 at Quan Zhai, BICMR
Abstract: The goal of this work is to study the problem of using optical measurement to understand what is the orientation of the director fields of nematic liquid crystals. As an electromagnetic inverse problem, we first study the uniqueness for time harmonic Maxwell’s equations, and then we produce two simple one-dimensional inverse problems which can be studied without any expertise in liquid crystals. We do not rely on any of the classical liquid crystal theories, and confirm that very little can be recovered about the internal configuration of smooth dielectric parameters from the polarimetric measurements only, and give a uniqueness result for one of the two problem.
Speaker: Dr. Basang Tsering-xiao (School of Mathematical Science, PKU)
Time: 14:00--15:00, September 28
Venue: Room 9 at Quan Zhai, BICMR
Abstract: The goal of this work is to study the problem of using optical measurement to understand what is the orientation of the director fields of nematic liquid crystals. As an electromagnetic inverse problem, we first study the uniqueness for time harmonic Maxwell’s equations, and then we produce two simple one-dimensional inverse problems which can be studied without any expertise in liquid crystals. We do not rely on any of the classical liquid crystal theories, and confirm that very little can be recovered about the internal configuration of smooth dielectric parameters from the polarimetric measurements only, and give a uniqueness result for one of the two problem.
