Combined Analysis

Mathematical Operators

Vectors are in bold. Unless specified, diffraction means “normal diffraction” (opp. anomalous diffraction).

^	vector product
⋅	scalar product
⊗	convolution product
*	as a superscript of a matrix, stands for the complex conjugated
*	as a superscript of a vector, stands for the vector of the reciprocal space
:	division of tensors
erfc	complementary error function
erfi	complex error function

[MO 1] 

E1(y)

exponential integral with complex argument

[MO 2] 

<>	arithmetic average of a tensor
	geometric average of a tensor

Tensor notations

Tensors are represented by matrices, following the [Nye 1957] notation, for instance for a 2^nd order tensor:

	non-zero values
——	identical values (different from zero)
——	opposite values
twice the component to which it ...