Transformation matrices for the Mueller–Jones formalism
| dc.contributor.author | Espinosa Luna, Rafael | |
| dc.contributor.author | Rodríguez Carrera, David | |
| dc.contributor.author | Hinojosa Ruiz, Sinhué Lizandro | |
| dc.contributor.author | Bernabeu Martínez, Eusebio | |
| dc.date.accessioned | 2023-06-20T10:45:30Z | |
| dc.date.available | 2023-06-20T10:45:30Z | |
| dc.date.issued | 2008 | |
| dc.description | © 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. | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Consejo Nacional de Ciencia y Tecnología (CONACYT), México | |
| dc.description.sponsorship | Consejo de Ciencia y Tecnologia del Estado de Guanajuato (CONCYTEG), México | |
| dc.description.sponsorship | Grupo Santander | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/26279 | |
| dc.identifier.doi | 10.1016/j.ijleo.2007.03.008 | |
| dc.identifier.issn | 0030-4026 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1016/j.ijleo.2007.03.008 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51161 | |
| dc.issue.number | 16 | |
| dc.journal.title | Optik | |
| dc.language.iso | eng | |
| dc.page.final | 765 | |
| dc.page.initial | 757 | |
| dc.publisher | Gustav Fischer Verlag | |
| dc.relation.projectID | 46969-F | |
| dc.relation.projectID | 05-04- K117-066-A02 | |
| dc.relation.projectID | Program Visitantes Distinguidos at the Universidad Complutense de Madrid) | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Scattering | |
| dc.subject.keyword | Depolarization | |
| dc.subject.keyword | Surfaces | |
| dc.subject.keyword | Elements | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Transformation matrices for the Mueller–Jones formalism | |
| dc.type | journal article | |
| dc.volume.number | 119 | |
| dcterms.references | [1] R. Barakat Bilinear constraints between elements of the 4×4 Mueller–Jones transfer matrix of polarization optics Opt. Commun., 38 (1981), pp. 159–161 [2] E.S. Fry, G.W. Kattawar Relationships between elements of the Stokes matrix Appl. Opt., 20 (1981), pp. 2811–2814 [3] R. Simon The connection between Mueller and Jones matrices of polarization optics Opt. Commun., 42 (1982), pp. 293–297 [4] J.J. Gil, E. Bernabeu A depolarization criterion in Mueller matrices Opt. Acta, 32 (1985), pp. 259–261 [5] J.W. Hovenier Structure of a general pure Mueller matrix Appl. Opt., 33 (1994), pp. 8318–8324 [6] C. Brosseau, C.R. Givens, A.B. Kotinski Generalized trace condition on the Mueller–Jones polarization matrix JOSA Commun., 10 (1993), pp. 2248–2251 [7] R.E. Luna, S.E. Acosta-Ortiz, L.-F. Zou Mueller matrix for characterization of one-dimensional rough perfectly reflecting surfaces in a conical configuration Opt. Lett., 23 (1998), pp. 1075–1077 [8] J.J. Gil Characteristic properties of Mueller matrices J. Opt. Soc. Am. A, 17 (2000), pp. 328–334 [9] A.G. Borovoi, I. Grishin Scattering matrices for large ice crystal particles J. Opt. Soc. Am. A, 20 (2003), pp. 2071–2080 [10] H.C. van de Hulst Light Scattering by Small Particles Dover, New York (1957) [11] E.L. O′Neill Introduction to Statistical Optics Addisson-Wesley, Reading, Mass (1963) [12] R.M.A. Azzam, N.M. Bashara Ellipsometry and Polarized Light North-Holland, Amsterdam (1989) [13] C. Brosseau Fundamentals of Polarized Light: Statistical Optics Approach Wiley, New York (1998) [14] S. Huard Polarisation de la Lumiere Masson, Paris (1994) 33pp. [15] N. Grier, Parke III, Matrix Optics, Ph.D. Thesis, MIT Press, Cambridge, MA, 1948. [16] E. Wolf, Il Nuovo Cimento, Ser 10, 13 (1959) 1165. [17] R.W. Schmieder Stokes—algebra formalism J. Opt. Soc. Am., 59 (1969), pp. 297–302 [18] F.M. Kronz, J.T. Tiehen Emergence and quantum mechanics Philos. Sci., 69 (2002), pp. 314–347 [19] B.J. DeBoo, J.M. Sasian, R.A. Chipman Depolarization of diffusely reflecting man-made objects Appl. Opt., 44 (2005), pp. 5434–5445 [20] E. Wolfe, R.A. Chipman Polarimetric characterization of liquid-crystal-on-silicon panels Appl. Opt., 45 (2006), pp. 1688–1703 [21] K.A. O′Donnell, M.E. Knotts Polarization dependence of scattering from one-dimensional rough surfaces J. Opt. Soc. Am. A, 8 (1991), pp. 1126–1131 [22] N.C. Bruce, A.J. Sant, J.C. Dainty, The Mueller matrix for rough surface scattering using the Kirchhoff approximation, Opt. Commun. 88 (1992) 471. | |
| dspace.entity.type | Publication |
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