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Chapter 3: Spherical Harmonics and Polarizations

      https://doi.org/10.1142/9789811278860_0003Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • Gravitational and Electromagnetic Polarizations

        • Scalar spherical harmonics

        • Ladder operators

        • Vector spherical harmonics

        • Tensor spherical harmonics

      • Polarizations of the Electromagnetic Waves

        • Linear and circular polarizations

        • Stokes parameters

      • Polarizations of the Gravitational Waves

        • Linear polarizations

        • Circular polarizations

        • The sum over the polarizations

        • The polarization matrix

        • Stokes parameters

      • Spin-Weight of a Function and Polarizations

        • Some examples

        • Spin-weighted spherical harmonics

        • Generalities on the E-mode and B-mode

        • Further considerations

      • References