FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2113272835> ?p ?o ?g. }

• W2113272835 endingPage "985" @default.
• W2113272835 startingPage "985" @default.
• W2113272835 abstract "Section 4.3 of the published article presents the erroneous conclusion that the incoherent sum of covariant orthogonally polarized modes causes the variance of the total intensity to increase and that of the major polarization to decrease. This incorrect result is derived in Appendix C from the unsubstantiated expression for the cross-covariance matrix presented in Equation (33). Although this ansatz yields results that are consistent with previous work, such as Equations (5) and (6) of McKinnon & Stinebring (1998) and Equation (5) of Cordes et al. (1978), it does not take account of the covariances between the Stokes parameters as expressed by our Equation (28). The correct form of Equation (33) is derived by considering the incoherent superposition of two sources described by Stokes parameters A and B, the result of which is indistinguishable from a single stationary stochastic source of polarized radiation with mean Stokes parameters A + B. Substitution of S = A + B into Equation (28), yields where C A and C B are the covariance matrices of A and B as defined by Equation (28) and the rectified cross-covariance matrix is given by Here, the intensity correlation coefficient is reintroduced to generalize the result; it varies from zero (disjoint modes) to unity (superposed modes). To verify the above expression for the cross-covariance matrix, consider the superposition of orthogonally polarized modes; in this case, and, in the natural basis defined by A If the intensities, degrees of polarization, and degrees of freedom of the modes are equal (A 0 = B 0 = S 0/2, , and A = B = ), then the superposition of the modes will be unpolarized and the covariance matrix reduces to C = 2 S 2 0 I, where I is the 4 × 4 identity matrix, as is easily confirmed using the above equations. In the natural basis, it is readily seen that the cross-covariance terms due to the sum of orthogonally polarized modes contribute equally to the variances of the total intensity and the major polarization. That is, orthogonally polarized modes cannot explain the differences in the variances observed by McKinnon (2004) and summarized in Table 1. The differences in the variances can be explained by the coherence and/or obliquity of the modes. For example, the partially coherent sum of linearly polarized orthogonal modes would produce an additional elliptically polarized component that would increase the variances of the total intensity and the minor polarizations. Similarly, the superposition of non-orthogonal modes would add to the variances of the minor polarizations. In each case, the variance of the total intensity will exceed that of the major polarization, the distribution of the polarization vector will become ellipsoidal, and the major axis of the ellipsoid will no longer be parallel to the mean polarization vector. The rectified cross-covariance matrix does not affect the main conclusion of Section 4.4; that is, the excess dispersion of the polarization vector, first observed as modal broadening by Stinebring et al. (1984), is completely due to self-noise intrinsic to the pulsar signal. However, the correction does impact on the proposal to develop a new technique for producing mode-separated profiles. All of the equations presented in Appendix C must be replaced by a more general expression that includes the partial coherence and/or non-orthogonality of the modes. As before, this development is left for future work." @default.
• W2113272835 created "2016-06-24" @default.
• W2113272835 creator A5032745702 @default.
• W2113272835 date "2010-07-23" @default.
• W2113272835 modified "2023-09-24" @default.
• W2113272835 title "ERRATUM: “THE STATISTICS OF RADIO ASTRONOMICAL POLARIMETRY: BRIGHT SOURCES AND HIGH TIME RESOLUTION” (2009, ApJ, 694, 1413)" @default.
• W2113272835 cites W1989826453 @default.
• W2113272835 cites W2007974265 @default.
• W2113272835 cites W2018944032 @default.
• W2113272835 cites W2065988788 @default.
• W2113272835 doi "https://doi.org/10.1088/0004-637x/719/1/985" @default.
• W2113272835 hasPublicationYear "2010" @default.
• W2113272835 type Work @default.
• W2113272835 sameAs 2113272835 @default.
• W2113272835 citedByCount "3" @default.
• W2113272835 countsByYear W21132728352013 @default.
• W2113272835 countsByYear W21132728352016 @default.
• W2113272835 countsByYear W21132728352017 @default.
• W2113272835 crossrefType "journal-article" @default.
• W2113272835 hasAuthorship W2113272835A5032745702 @default.
• W2113272835 hasBestOaLocation W21132728351 @default.
• W2113272835 hasConcept C120665830 @default.
• W2113272835 hasConcept C121332964 @default.
• W2113272835 hasConcept C1276947 @default.
• W2113272835 hasConcept C191486275 @default.
• W2113272835 hasConcept C28493345 @default.
• W2113272835 hasConcept C44870925 @default.
• W2113272835 hasConceptScore W2113272835C120665830 @default.
• W2113272835 hasConceptScore W2113272835C121332964 @default.
• W2113272835 hasConceptScore W2113272835C1276947 @default.
• W2113272835 hasConceptScore W2113272835C191486275 @default.
• W2113272835 hasConceptScore W2113272835C28493345 @default.
• W2113272835 hasConceptScore W2113272835C44870925 @default.
• W2113272835 hasIssue "1" @default.
• W2113272835 hasLocation W21132728351 @default.
• W2113272835 hasOpenAccess W2113272835 @default.
• W2113272835 hasPrimaryLocation W21132728351 @default.
• W2113272835 hasRelatedWork W1989693711 @default.
• W2113272835 hasRelatedWork W1994702306 @default.
• W2113272835 hasRelatedWork W2017391605 @default.
• W2113272835 hasRelatedWork W2029125027 @default.
• W2113272835 hasRelatedWork W2069375389 @default.
• W2113272835 hasRelatedWork W2073679003 @default.
• W2113272835 hasRelatedWork W3105654201 @default.
• W2113272835 hasRelatedWork W3106428885 @default.
• W2113272835 hasRelatedWork W3163083320 @default.
• W2113272835 hasRelatedWork W4321442755 @default.
• W2113272835 hasVolume "719" @default.
• W2113272835 isParatext "false" @default.
• W2113272835 isRetracted "false" @default.
• W2113272835 magId "2113272835" @default.
• W2113272835 workType "erratum" @default.