Chapter 3: Spherical Harmonics and Polarizations
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