NDLI: Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition

Please wait, while we are loading the content...

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition

Content Provider	Scilit
Author	Lionheart, W. R. B. Newton, C. J. P.
Copyright Year	2007
Description	Journal: New Journal of Physics We use the problem of determining nematic liquid crystal director profiles from optical measurements as an example to illustrate that what is often treated purely as a data fitting problem is really an inverse problem and that useful insights can be obtained by treating it in this way. Specifically we illustrate the analysis of the sufficiency of data and the sensitivity of a solution to measurement errors. We assume a stratified medium where the Berreman method can be used for the optical forward problem and we consider the inverse problem to be the determination of an anisotropic dielectric permittivity tensor from optical data. A numerical singular value decomposition (SVD) analysis reveals that although this inverse problem is severely ill-conditioned it is possible to determine depth-dependent information provided the medium is sufficiently birefringent and that, as one might expect, a larger range of incident angles gives greater information. Analytical solutions of the Berreman equations for general perturbations of an orthorhombic crystal confirm the uniqueness of solution for the linearized problem and give further insights into the severely ill-posed nature of the inverse problem.
Related Links	http://iopscience.iop.org/article/10.1088/1367-2630/9/3/063/pdf https://iopscience.iop.org/article/10.1088/1367-2630/9/3/063/pdf
Ending Page	63
Page Count	1
Starting Page	63
e-ISSN	13672630
DOI	10.1088/1367-2630/9/3/063
Journal	New Journal of Physics
Issue Number	3
Volume Number	9
Language	English
Publisher	IOP Publishing
Publisher Date	2007-03-01
Access Restriction	Open
Subject Keyword	Journal: New Journal of Physics Analytic Solution Measurement Error Singular Value Decomposition Inverse Problem Data Fitting Nematic Liquid Crystal
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

measurements using singular

Data reconciliation and the singular value decomposition (2009).

Determining transcription factor profiles from fluorescent reporter systems involving regularization of inverse problems

A Simple Method to Measure Pretilt Angles of Inverse Twisted Nematic Liquid Crystal Cells

Orientational director effects in nematic liquid crystals with small Ericksen number

Directional sensitivity of skin friction measurements using nematic liquid crystal

First Order Error Analysis of a Linear System of Equations by use of Error Propagation Matrices connected to the Pseudo Inverse Solution (0)

Singular value decomposition in an inverse source problem

Solution of the Inverse Radiative Load Problem Using the Singular Value Decomposition Technique

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition

Similar Documents

measurements using singular

Data reconciliation and the singular value decomposition (2009).

Determining transcription factor profiles from fluorescent reporter systems involving regularization of inverse problems

A Simple Method to Measure Pretilt Angles of Inverse Twisted Nematic Liquid Crystal Cells

Orientational director effects in nematic liquid crystals with small Ericksen number

Directional sensitivity of skin friction measurements using nematic liquid crystal

First Order Error Analysis of a Linear System of Equations by use of Error Propagation Matrices connected to the Pseudo Inverse Solution (0)

Singular value decomposition in an inverse source problem

Solution of the Inverse Radiative Load Problem Using the Singular Value Decomposition Technique

Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition