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Polarizabilities

Alphas is a module to load polarizabilities. In this module, you will find functions to compute electric and magnetic polarizabilities of several objects. The module also contains some functions to renormalize polarizabilities and to manage the multiple formats of the polarizabilities (dispatch). The list of functions (as well as how to use them) is given below. Note that $N$ denotes the number of point dipoles in the problem.

Format of the polarizabilities in the DDACore and PostProcessing functions

The functions of the DDACore and PostProcessing modules come with an automatic dispatch of the format of the polarizability. If we have $N$ dipoles, it can be:

  • a complex scalar
  • a 1D complex array of size $N$
  • a $3\times 3$ or $6\times 6$ complex matrix.
  • a 3D complex array of size $N\times 3\times 3$ or $N\times 6\times 6$

Functions Documentation

Main.CoupledElectricMagneticDipoles.Alphas.alpha0_cube — Method
alpha0_cube(L,eps,eps_h)

Computes the quasistatic polarizability tensor of a cube of side L and permittivity eps in a host medium with permittivity eps_h. Permittivities can be scalars or $3\times 3$ tensors. Outputs a $3\times 3$ float matrix with units of volume.

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Main.CoupledElectricMagneticDipoles.Alphas.alpha0_sphere — Method
alpha0_sphere(a,eps,eps_h)

Computes the quasistatic polarizability of a sphere of radius a and permittivity eps in a host medium with permittivity eps_h. Permittivities can be scalars or $3\times 3$ tensors. Outputs a float with units of volume.

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Main.CoupledElectricMagneticDipoles.Alphas.alpha0_volume — Method
alpha0_volume(V,eps,eps_h)

Computes the quasistatic polarizability of any isotropic object with volume V and permittivity eps in a host medium with permittivity eps_h. Permittivities can be scalars or $3\times 3$ tensors. Outputs a float with units of volume.

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Main.CoupledElectricMagneticDipoles.Alphas.alpha_e_m_mie — Method
alpha_e_m_mie(ka,eps,eps_h)

Computes the electric and magnetic polarizabilities from the mie coefficients $a_1$ and $b_1$ of a particle with size parameter ka (wave number times radius), and permittivity eps, in a host medium with permittivity eps_h. Outputs two dimensionless scalars that are respectively the electric and the magnetic polarizability.

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Main.CoupledElectricMagneticDipoles.Alphas.dispatch_e — Method
dispatch_e(alpha_e_dl,n_particles)

Creates an iterable with the polarizability of all particles in order to facilitate the syntax for multuplying a Green's tensor by polarizability of a particle.

Arguments

  • alpha_e_dl: electric polarizability, see the Alphas module's documentation for the accepted formats.
  • n_particles: number of particles (integer)

Outputs

  • alp_e: iterable electric polarizability
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Main.CoupledElectricMagneticDipoles.Alphas.dispatch_e_m — Method
dispatch_e_m(alpha_e_dl,alpha_m_dl,n_particles)

Creates an iterable with the polarizability of all particles in order to facilitate the syntax for multuplying a Green's tensor by the polarizability of a particle.

Arguments

  • alpha_e_dl: electric polarizability, see the Alphas module's documentation for the accepted formats.
  • alpha_m_dl: magnetic polarizability, see the Alphas module's documentation for the accepted formats.
  • n_particles: number of particles (integer)

Outputs

  • alp_e: iterable electric polarizability
  • alp_m: iterable magnetic polarizability
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Main.CoupledElectricMagneticDipoles.Alphas.dispatch_e_m — Method
dispatch_e_m(alpha_dl,n_particles)

Creates an iterable with the polarizability of all particles in order to facilitate the syntax for multuplying a Green's tensor by the polarizability of a particle.

Arguments

  • alpha_dl: polarizability 6x6 complex matrix, see the Alphas module's documentation for the accepted formats.
  • n_particles: number of particles (integer)

Outputs

  • alp: iterable polarizability
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