RT Journal Article
T1 Transformation matrices for the Mueller–Jones formalism
A1 Espinosa Luna, Rafael
A1 Rodríguez Carrera, David
A1 Hinojosa Ruiz, Sinhué Lizandro
A1 Bernabeu Martínez, Eusebio
AB The Mueller–Jones (MJ) or pure Mueller matrix formulation has been reported by using two different matrix transformations in a condensed representation. The possibility to find other transformation matrices is explored. A complete set of unitary operators (R) is found to be closely related with the MJ matrices and with the evolution of pure states on the Poincaré sphere surface. We propose an alternative deduction for the condensed representation of the MJ matrices, obtained by using the Kronecker product operation and use of R unitary matrices as a tool to combine different Mueller matrices and changes of polarized states on the Poincarè sphere surface. Finally, it is shown explicitly that the columns of the transformation matrices are the eigenvectors of the MJ matrix associated to a non-depolarizing optical system and a corollary is established as a criterion to differentiate a Mueller matrix from an MJ matrix.
PB Gustav Fischer Verlag
SN 0030-4026
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/51161
UL https://hdl.handle.net/20.500.14352/51161
LA eng
NO © 2007 Elsevier GmbH.One of the authors, R.E.L., expresses his gratitude to CONACYT (Project 46969-F), to CONCYTEG (05-04-K117-066-A02) and to Grupo Santander (Program Visitantes Distinguidos at the Universidad Complutense de Madrid) for the support provided for the realization of this work.
NO Consejo Nacional de Ciencia y Tecnología (CONACYT), México
NO Consejo de Ciencia y Tecnologia del Estado de Guanajuato (CONCYTEG), México
NO Grupo Santander
DS Docta Complutense
RD 26 abr 2025