nifty8.library.light_cone_operator module#

class LightConeOperator(domain, target, sigx)[source]#

Bases: Operator

Constructs a Light cone from a set of lightspeed parameters.

The resulting cone is defined as follows

$\exp \left(- \frac{1}{2} \Re \left( \Delta \right)^2 \right)$

with

$\Delta = \sqrt{- \left(t^2 - \frac{x^\dagger C^{-1} x} {\sigma_x^2} \right)}$

where t and x are the coordinates of the target space. Note that axis zero of the space is interpreted as the time axis. C denotes the input paramters of the operator and parametrizes the shape of the cone. sigx is the width of the asymptotic Gaussian in x necessary for discretization.

Parameters:

domain (Domain, tuple of Domain or DomainTuple) – The domain of the input parameters of the light cone, the values of the lightspeed tensor.
target (Domain, tuple of Domain or DomainTuple) – Output space on which the lightcone should be defined. The zeroth axis of this space is interpreted as the time axis.
sigx (float) – Width of the Gaussian for the discretized representation of the cone.

__init__(domain, target, sigx)[source]#

apply(x)[source]#

Applies the operator to a Field, MultiField or Linearization.

Parameters:: x (nifty8.field.Field, nifty8.multi_field.MultiField,) – or nifty8.linearization.Linearization Input on which the operator shall act. Needs to be defined on domain. If x`is a :class:`nifty8.linearization.Linearization, apply returns a new nifty8.linearization.Linearization contining the result of the operator application as well as its Jacobian, evaluated at x.