Conversion between Field Components (TXYZ)

Use the Conversion between Field Components option to apply the conversion between field components filter.

Conversion between Field Components dialog options

Inclination	Geomagnetic inclination in degrees from the horizon I
Declination	Geomagnetic declination in degrees azimuth D
Input field component	Select the input Component from the drop-down list of "Total_Field", "X_Component", "Y_Component", or "Z_Component". The X and Y components are not recommended for input, see below.
Output field component	Select the output Component from the drop-down list of "Total_Field", "X_Component", "Y_Component", or "Z_Component".

Application Notes

The field conversion filter operator converts between magnetic field components. In theory, any one component of the magnetic field could be used to calculate any other component, but in practice the stronger and stable field components, that is the total field and the vertical component, should be used on input. The X or Y components manifest singularities along the normal to the declination azimuth thus causing directional instability.

The table below defines comprehensively the filter conversion expressions in the wavenumber domain:

	To X	To Y	To Z	To T
From X	1	v / u	r / iu	P / iu
From Y	u / v	1	r / iv	P / iv
From Z	iu / r	iv / r	1	P / r
From T	iu / P	iv / P	r / P	1

P
	Directional cosine of the Total magnetic field of X axis.
	Directional cosine of the Total magnetic field of Y axis.
	Directional cosine of the Total magnetic field of Z axis.

Wavenumber domain variable definition

k	Wavenumber domain increment, used to depict a radially symmetrical variable.	where: np is the number of points cs is the cell size
u	X component in the wavenumber domain.	k = 2π ( i μ+j ν )
v	Y component in the wavenumber domain.
r	Radial component in the wavenumber domain.	also 2πk
θ	Polar component in the wavenumber domain.