deerlab.bg_homfractal¶

bg_homfractal = <deerlab.model.Model object>¶

Background from homogeneous spin distribution in a space of fractal dimension

Parameters:

tarray_like: Time vector, in microseconds.
fconcscalar: Fractal concentration of spins
fdimscalar: Fractal dimensionality
lamscalar: Pathway amplitude

Returns:

Bndarray: Dipolar background vector.

Notes

Parameter Table

Name	Lower	Upper	Type	Frozen	Unit	Description
`fconc`	1e-20	1e+20	nonlin	No	μmol/dmᵈ	Fractal concentration of spins
`fdim`	0.01	5.99	nonlin	No		Fractal dimensionality
`lam`	0	1	nonlin	No		Pathway amplitude

Model

This implements the background due to a homogeneous distribution of spins in a $fdim$ -dimensional space, with the $fdim$ -dimensional spin concentration fconc.