# dipole_k#

empymod.model.dipole_k(src, rec, depth, res, freq, wavenumber, ab=11, aniso=None, epermH=None, epermV=None, mpermH=None, mpermV=None, **kwargs)[source]#

Return electromagnetic wavenumber-domain field.

Calculate the electromagnetic wavenumber-domain field due to infinitesimal small electric or magnetic dipole source(s), measured by infinitesimal small electric or magnetic dipole receiver(s); sources and receivers are directed along the principal directions x, y, or z, and all sources are at the same depth, as well as all receivers are at the same depth.

Parameters:
src, reclist of floats or arrays

Source and receiver coordinates [x, y, z] (m):

• For N sources or receivers, the x- and y-coordinates must be of size N or 1 (in the latter case it will be expanded to N); z is always a single value.

• The x- and y-coordinates only matter for the angle-dependent factor.

Sources or receivers placed on a layer interface are considered in the upper layer.

depthlist

Absolute layer interfaces z (m); #depth = #res - 1 (excluding +/- infinity).

resarray_like

Horizontal resistivities rho_h (Ohm.m); #res = #depth + 1.

freqarray_like

Frequencies f (Hz), used to calculate etaH/V and zetaH/V.

wavenumberarray

Wavenumbers lambda (1/m)

abint, default: 11

electric source

magnetic source

x

y

z

x

y

z

electric

x

11

12

13

14

15

16

y

21

22

23

24

25

26

z

31

32

33

34

35

36

magnetic

x

41

42

43

44

45

46

y

51

52

53

54

55

56

z

61

62

63

64

65

66

anisoarray_like, default: ones

Anisotropies lambda = sqrt(rho_v/rho_h) (-); #aniso = #res.

epermH, epermVarray_like, default: ones

Relative horizontal/vertical electric permittivities epsilon_h/epsilon_v (-); #epermH = #epermV = #res. If epermH is provided but not epermV, isotropic behaviour is assumed.

mpermH, mpermVarray_like, default: ones

Relative horizontal/vertical magnetic permeabilities mu_h/mu_v (-); #mpermH = #mpermV = #res. If mpermH is provided but not mpermV, isotropic behaviour is assumed.

verb{0, 1, 2, 3, 4}, default: 2

Level of verbosity:

• 0: Print nothing.

• 1: Print warnings.

• 2: Print additional runtime and kernel calls

• 3: Print additional start/stop, condensed parameter information.

• 4: Print additional full parameter information

Returns:
PJ0, PJ1array

Wavenumber-domain EM responses:

• PJ0: Wavenumber-domain solution for the kernel with a Bessel function of the first kind of order zero.

• PJ1: Wavenumber-domain solution for the kernel with a Bessel function of the first kind of order one.

`dipole`

EM fields due to infinitesimal small EM dipoles.

`bipole`

EM fields due to arbitrary rotated, finite length EM dipoles.

`loop`

EM fields due to a magnetic source loop.

Examples

```In : import empymod
...: import numpy as np
...: src = [0, 0, 100]
...: rec = [5000, 0, 200]
...: depth = [0, 300, 1000, 1050]
...: res = [1e20, .3, 1, 50, 1]
...: freq = 1
...: wavenr = np.logspace(-3.7, -3.6, 10)
...: PJ0, PJ1 = empymod.dipole_k(
...:         src, rec, depth, res, freq, wavenr, verb=0)
...: PJ0
...:
Out: (-2.5768974970445326e-08-2.0489943182087426e-09j)

In : PJ1
Out: (1.9050482781619523e-10-6.842938067042929e-10j)
```