Conversion between Field Components (TXYZ)

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

Conversion between Field Components dialog options

Inclination	Geomagnetic inclination I, in degrees from the horizon.
Declination	Geomagnetic declination D, in degrees azimuth.
Input field component	Select the input component from the drop-down list: Total Field X Component Y Component Z Component Use of the X and Y components as input is not recommended (see Application Notes below).
Output field component	Select the output component from the drop-down list: Total Field X Component Y Component Z Component

Application Notes

The field conversion filter operator converts between magnetic field components. Although any single magnetic field component can theoretically be used to compute any other, in practice the stronger and more stable components—the total field and the vertical (Z) component—should be used as input.

Using the X or Y components may introduce singularities along directions normal to the declination azimuth, resulting in directional instability.

Filter Conversion Expressions

The table below defines 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

Parameters

P	$image\ebx_-472065890.jpg$
	Directional cosine of the total magnetic field along the X axis.
	Directional cosine of the total magnetic field along the Y axis.
	Directional cosine of the total magnetic field along the Z axis.

Wavenumber Domain Variable Definitions


The following variables are used in the wavenumber domain:
k	Wavenumber increment, used to depict a radially symmetrical variable.	Where: np: number of points cs: cell size
μ	X-component of the wavenumber.
v	Y-component of the wavenumber.
r	Radial component of the wavenumber.
θ	Angular (polar) component of the wavenumber.