Functions for handling quantities expressed by complex numbers

Definition

In Flux 3D, a complex scalar or vector quantity is defined by its real part and its imaginary part.

Use

The functions for handling the complex quantities can be used in the formulas with I/O parameters and in the formulas with spatial quantities.

Principal functions

The functions of treatment of the complex quantities are gathered in the table below.

Functions for treatment of the complex quantities
ModC(x) Complex modulus of the complex expression x
Arg(x) Argument (in radians) of the complex expression x
Inst(z,t) Value at the moment t (in degrees) of the complex expression z
Real(x) Real part of the complex expression x
Imag(x) Imaginary part of the complex expression x
Conj(x) Conjugate of the complex expression x
Cmplx(x,y)

Complex expression built starting from the real expressions

x and y

x, y, z could be scalar or vector quantities

Other functions

Two other functions of Flux 3D applied to complex quantities are described in the following paragraph. These are the vector modulus (ModV) and the general modulus (Mod) functions.