ComplexModulusSquared¶

class odl.operator.default_ops.ComplexModulusSquared(*args, **kwargs)[source]¶

Bases: odl.operator.operator.Operator

Operator that computes the squared complex modulus (absolute value).

Attributes

adjoint: Adjoint of this operator (abstract).
domain: Set of objects on which this operator can be evaluated.
inverse: Return the operator inverse.
is_functional: True if this operator’s range is a Field.
is_linear: True if this operator is linear.
range: Set in which the result of an evaluation of this operator lies.

Methods

`_call`(self, x)	Return `self(x)`.
`derivative`(self, x)	Return the derivative operator in the “C = R^2” sense.
`norm`(self[, estimate])	Return the operator norm of this operator.

__init__(self, space)[source]¶

Initialize a new instance.

Parameters

spaceTensorSpace: Space in which the modulus should be taken, needs to implement space.real_space.

Examples

Take the squared modulus of a complex vector:

>>> c2 = odl.cn(2)
>>> op = odl.ComplexModulusSquared(c2)
>>> op([3 + 4j, 2])
rn(2).element([ 25.,   4.])

On a real space, this is the same as squaring:

>>> r2 = odl.rn(2)
>>> op = odl.ComplexModulusSquared(r2)
>>> op([1, -2])
rn(2).element([ 1.,  4.])

The operator also works on other TensorSpace’s such as DiscretizedSpace:

>>> space = odl.uniform_discr(0, 1, 2, dtype=complex)
>>> op = odl.ComplexModulusSquared(space)
>>> op([3 + 4j, 2])
uniform_discr(0.0, 1.0, 2).element([ 25.,   4.])