CELLULAR RADIO ANTENNA
20170256847 · 2017-09-07
Inventors
Cpc classification
H01Q21/22
ELECTRICITY
H01Q19/108
ELECTRICITY
H01Q21/24
ELECTRICITY
H01Q19/09
ELECTRICITY
International classification
H01Q21/24
ELECTRICITY
Abstract
The present invention relates to a cellular radio antenna, in particular for a cellular radio base station, having at least one dipole radiator and having a dielectric body that is arranged on the dipole radiator and characterized in that the height H of the dielectric body in the main radiation direction amounts to at least 30% of the maximum thickness D of the dielectric body in a cross-section perpendicular to the main radiation direction.
Claims
1. A cellular radio antenna having at least one dipole radiator and having a dielectric body arranged on the dipole radiator, wherein a height of the dielectric body in a main radiation direction amounts to at least 30% of a maximum thickness of the dielectric body in a cross-section perpendicular to the main radiation direction.
2. The cellular radio antenna in accordance with claim 1, wherein the height of the dielectric body amounts to at least 50% of the maximum thickness of the dielectric body; and/or wherein the dielectric body has an effective relative permittivity ∈.sub.r>2.
3. The cellular radio antenna in accordance with claim 1, wherein the dipole radiator is a dual-polarized dipole radiator; and/or wherein the dielectric body has an axis of symmetry facing in the main radiation direction, with it being an axial symmetry and/or a rotational symmetry; and/or wherein the dielectric body has a rod region and/or a lens region, with a height of the rod region amounting to between 50% and 100% of the height of the dielectric body; and/or wherein the lens region is arranged on a side of the rod region remote from the dipole radiator; and/or wherein a height of the lens region amounts to between 5% and 50% of the height of the dielectric body.
4. The cellular radio antenna in accordance with claim 1, wherein there is the following relationship for the maximum thickness D and the height H of the dielectric body with respect to a wavelength λ of a center frequency of a lowest resonant frequency range of the antenna and the effective relative permittivity ∈.sub.r of the dielectric body:
5. The cellular radio antenna in accordance with claim 1 wherein a conductive and/or metallic element is arranged in and/or at the dielectric body, with the conductive and/or metallic element being a coating of an inner or outer surface of the dielectric body and/or a conductive and/or metallic disk arranged in or at the dielectric body; and/or wherein the conductive and/or metallic element surrounds an outer periphery of the dielectric body or extends in a plane perpendicular to the main radiation direction; wherein the conductive and/or metallic element has a directivity effect that is at a maximum for a frequency f.sub.met, and wherein the dielectric body has a directivity effect that is at a maximum for a frequency f.sub.diel, where f.sub.met≠f.sub.diel; and/or wherein there is the following relationship with respect to the center frequency f.sub.res of the lowest resonant frequency range of the antenna: f.sub.met<f.sub.res<f.sub.diel, and/or wherein |f.sub.diel−f.sub.met|/f.sub.diel>0.1*f.sub.diel.
6. The cellular radio antenna in accordance with claim 1, having a reflector on which the dipole radiator is arranged, wherein the antenna has a subreflector that is configured as a reflector frame, with the edge length of the reflector frame being the same as or larger than the maximum thickness of the dielectric body; and/or wherein a spacing between the reflector and the dipole radiator amounts to between 0.05λ and 0.5λ, with λ being the wavelength of the center frequency of the lowest resonant frequency range of the antenna; and/or wherein the reflector has a directivity effect that is at a maximum for a frequency f.sub.ref, and wherein the dielectric body has a directivity effect that is at a maximum for a frequency f.sub.diel, where f.sub.met≠f.sub.diel; and/or wherein there is the following relationship with respect to the center frequency f.sub.res of the lowest resonant frequency range of the antenna: f.sub.ref<f.sub.res<f.sub.diel, and/or wherein |−f.sub.met|/f.sub.diel>0.1*f.sub.diel.
7. A cellular radio antenna arrangement having a plurality of antennas, having a first subgroup of one or more first antennas and a second subgroup of one or more second antennas, wherein the first antennas each comprise a dipole radiator having a first dielectric body arranged on the dipole radiator, wherein a height of the first dielectric body amounts to at least 30% of a maximum thickness of the first dielectric body; and wherein the second antennas each comprise a radiator without a dielectric element or with a different, second dielectric element.
8. The cellular radio antenna arrangement in accordance with claim 7, wherein the dipole radiators of the first antennas are dual-polarized dipole radiators; and/or wherein the radiators of the second antennas are dual-polarized radiators and/or dipole radiators.
9. The cellular radio antenna arrangement in accordance with claim 7, wherein the dipole radiators of the first antennas have identical resonant frequency ranges and/or have the same radiation plane and/or height above a common reflector; and/or wherein the radiators of the second antennas have identical resonant frequency ranges and/or have the same radiation plane and/or height above a common reflector; and/or wherein the first dielectric bodies have the same height; and/or wherein the second dielectric bodies have the same height.
10. The cellular radio antenna arrangement in accordance with claim 7, wherein the dielectric bodies displace radiation planes of the first antennas and of the second antennas away from one another, with the dipole radiators of the first antennas and the radiators of the second antennas being arranged in a common plane and/or having the same height H.sub.S above a common reflector, with a displacement V of the radiation planes and the height H.sub.S of the dipole radiators of the first antennas above a common reflector having the following relationship: 0.5 H.sub.S<V; and/or wherein the dipole radiators of the first antennas and the radiators of the second antennas have the same resonant frequency ranges and/or of the same structure.
11. The cellular radio antenna arrangement in accordance with claim 7, wherein the dielectric bodies move the radiation planes of the first antennas and of the second antennas toward one another, with the dipole radiators of the first antennas and the radiators of the second antennas being arranged in different planes and/or having different heights and above a common reflector, with a remaining spacing A between the radiation planes having the following relationship with respect to a height H.sub.S1 of the dipole radiators of the first antennas above a common reflector: A<0.5 H.sub.S1; and/or wherein the dipole radiators of the first antennas and the radiators of the second antennas have the same resonant frequency ranges and/or the same structure.
12. The cellular radio antenna arrangement in accordance with claim 7, wherein the dipole radiators of the first antennas are arranged in a first plane and the second antennas have metal structures that are arranged in a second plane above the first plane; wherein the first dielectric bodies extend at least up to the second plane of the metal structures of the second antennas and/or raise the radiation plane of the dipole radiators of the first antennas at least to the second plane; and/or wherein the height of the dipole radiators of the first antennas above a common reflector is smaller than the height of the radiators of the second antennas above a common reflector; and/or wherein the center frequency of the lowest resonant frequency range of the dipole radiators of the first antennas is higher than the center frequency of the lowest resonant frequency range of the radiators of the second antennas.
13. The cellular radio antenna arrangement in accordance with claim 12, wherein the radiators of the second antennas are dipole radiators and are arranged in a plane above the plane of the dipole radiators of the first antennas, with the dipole radiators of the first antennas and the radiators of the second antennas having different resonant frequency ranges and/or being used for different frequency bands; and/or wherein the second antennas have a plurality of dipoles that are arranged in a square and/or in a cross and/or in a T; or wherein third radiators are arranged in a region of the radiators of the second antennas and have the same resonant frequency range and/or are used for the same frequency band; and/or wherein the dipole radiators of the first antennas and the radiators of the second antennas have different resonant frequency ranges and/or are used for different frequency bands, with the radiators of the second antennas having radiator elements that extend in parallel with and/or perpendicular to and/or obliquely to a radiation direction, with the third radiators being arranged within the radiator elements extending in parallel with and/or perpendicular to and/or obliquely to the radiation direction, with the third radiators being dual-polarized dipole radiators.
14. The cellular radio antenna arrangement in accordance with claim 7, having at least one column or one row of antennas, wherein the first and second antennas are arranged alternately in the column or row; and/or wherein the second antennas are arranged between two columns or two rows of first antennas.
15. The cellular radio antenna arrangement in accordance with claim 7, wherein the first antennas of the cellular radio group antenna are formed by cellular radio antennas having at least one dipole radiator and having a dielectric body arranged on the dipole radiator, wherein a height of the dielectric body in a main radiation direction amounts to at least 30% of a maximum thickness of the dielectric body in a cross-section perpendicular to the main radiation direction; and wherein the cellular radio antenna is for a cellular radio base station.
16. The cellular radio antenna in accordance with claim 2, wherein the height of the dielectric body amounts to at least 70% of the maximum thickness of the dielectric body; and/or wherein the dielectric body has an effective relative permittivity ∈.sub.r>2.5; and wherein the cellular radio antenna is for a cellular radio base station.
17. The cellular radio antenna in accordance with claim 4, wherein:
18. The cellular radio antenna in accordance with claim 6, wherein the spacing between the reflector and the dipole radiator amounts to between 0.1λ and 0.4λ; and/or wherein f.sub.ref<f.sub.diel; and/or wherein |f.sub.diel−f.sub.met|/f.sub.diel>0.2*f.sub.diel.
19. The cellular antenna arrangement in accordance with claim 11, wherein: A<0.2 HS1.
20. The cellular antenna arrangement in accordance with claim 14, wherein the group antenna has a plurality of columns and rows; wherein the first and second antennas are arranged respectively alternately in the plurality of columns and rows; and/or wherein the second antennas are arranged between a plurality of columns and rows of first antennas.
Description
[0112] The present invention will now be shown in more detail with reference to embodiments and to drawings. There are shown:
[0113]
[0114]
[0115]
[0116]
[0117]
[0118]
[0119]
[0120]
[0121]
[0122]
[0123]
[0124]
[0125]
[0126]
[0127]
[0128]
[0129]
[0130]
[0131]
[0132]
[0133]
[0134]
[0135]
[0136] The embodiment of the cellular radio antenna comprises a dipole radiator 1 on which a dielectric body 2 is arranged. The dipole radiator 1 has a base 3 which supports dipole segments 4. The dipole segments 4 extend in a plane perpendicular to the main radiation direction of the cellular radio antenna. The base 3 in contrast extends in the main radiation direction.
[0137] The dipole radiator 1 is arranged on a reflector 10 that is of plate shape and extends in a plane perpendicular to the main radiation direction and thus in parallel with the plane of the dipole segments 4. The dipole segments 4 are held at a height H.sub.S above the reflector 10 by the base 3.
[0138] In the embodiment, the dipole radiator 1 is a dual-polarized dipole radiator. The first polarization is formed by a first dipole formed by two oppositely disposed dipole segments 4; the second polarization by two further dipole segments 4 likewise oppositely disposed. The two polarizations stand orthogonally and criss-cross on one another. In the embodiment, the dipole radiator is designed as a dipole square in which the four dipole segments are arranged about a common axis and adopt four sectors of a square.
[0139] The two polarizations of the dipole radiator are used separately from one another in the embodiment for transmitting and/or receiving cellular radio signals and have separate ports 12 and 13 for this purpose.
[0140] In accordance with the invention, a dielectric body 2 is arranged on the dipole radiator 1. The dielectric body 2 has a lower side with which it is arranged on the plane formed by the dipole segments 4 of the dipole radiator 1. The lower side of the dielectric body can comprise mechanical fastening regions for fastening to the dipole. They can e.g. project as noses and/or grooves into the region of the dipole. The lower side of the dielectric body is preferably planar, at least with the exception of the mechanical fastening regions, and/or extends in parallel with the plane of the dipole segments 4 or with a plane standing perpendicular on the main radiation direction of the antenna.
[0141] The lower side of the dielectric body is preferably placed directly onto the dipole segments 4 or is only separated therefrom by a narrow air gap of preferably a maximum of 2 mm and both preferably of a maximum of 1 mm.
[0142] In the embodiment shown in
[0143] In the embodiment, the dielectric body has rotationally symmetry. The axis of symmetry of the dielectric body extends in parallel with the main radiation direction of the dipole radiator 1 and coincides with the axis of symmetry of the dipole radiator 1.
[0144] In the rod region 8, the dielectric body is designed as a solid circular cylinder. The lens region 9 is designed as a counter-cone in the embodiment. However, other shapes are also conceivable for the lens region as will be shown in more detail in the following. The lens region 9 can furthermore also be completely dispensed with so that the total dielectric body is configured as a dielectric rod.
[0145] The dielectric body in accordance with the present invention is used to displace the radiation plane 6 of the dipole radiator in the main radiation direction so that the radiation plane 7 of the antenna formed from the dipole radiator 1 and the dielectric body 2 is arranged above the radiation plane 6 of the dipole radiator 1 itself. This shift of the radiation plane makes possible, as will be shown in even more detail in the following, a plurality of applications, in particular when the cellular radio antenna in accordance with the invention is combined with further antennas in an antenna arrangement.
[0146] In the embodiment, the antenna furthermore has a subreflector frame 11 that is arranged on the plate-like main reflector 10 and that surrounds the antenna. The subreflector frame effects an improvement of the directional effect.
[0147] The shift in accordance with the invention of the radiation plane is demonstrated by the E-field diagrams shown in
[0148] In
[0149] In accordance with the present invention, dielectric bodies are used in which the height H amounts to at least 30% of the maximum thickness D. The height H preferably amounts to at least 50% of the maximum thickness D, further preferably at least 70% of the maximum thickness D. A corresponding shift of the radiation plane is hereby achieved in accordance with the invention.
[0150] Alternatively or additionally, the height of the rod region 8, i.e. the maximum extent of the rod region in the main radiation direction, amounts to at least 20% of the maximum thickness D. preferably at least 30% of the maximum thickness D, further preferably at least 40% of the maximum thickness D.
[0151] The height H of the dielectric body or of the rod region of the dielectric body is at least not limited in principle.
[0152]
[0153] The diagram at the bottom of
[0154] The increasing number of local minima/maxima is due to constructive and/or destructive superposition of electromagnetic fields. It can be assumed in this respect that the local minima and maxima arise due to different radiation points along the axis of the dielectric body, i.e. a proportion of the energy is radiated along the body (radiating modes) and a proportion of the energy is conducted onward (bound modes).
[0155]
[0156]
[0157]
[0158] This simultaneously also explains the secondary lobes arising with an increasing length. They can be explained by the incomplete conduction of the field through the dielectric body and the partial radiation at the respective field maxima.
[0159] The antenna gain in copolarization at 2.6 GHz for a height of 50 mm and a height of 200 mm of the dielectric body is again shown three-dimensionally in
[0160] The claimed relationship in accordance with the invention between the height H of the dielectric body and the thickness D of the dielectric body results when the dielectric body is considered to be a rod antenna.
[0161] The formulas for the diameter d.sub.max,Leiter of the rod region and thus the maximum thickness of the dielectric body and the diameter d.sub.min,Spitze at the thinnest point of the lens region are reproduced at the left-hand side. This dependency is shown again graphically in a diagram at the right. The maximum thickness of the dielectric body can therefore not be selected as desired, but has to be selected in dependence on the wavelength and on the relative permittivity.
[0162] For the purposes of the present invention, the maximum thickness D of the dielectric body, in particular the maximum thickness of the rod region, is in this respect selected in the following range:
[0163] A comparable dependency on the wavelength and on the relative permittivity applies at least as a lower limit to the height H:
[0164] The claimed relationship between the height H of the dielectric body and the maximum thickness D hereby also results.
[0165] The influence of the maximum thickness D of the dielectric body on the wave guidance properties and thus the radiation characteristics of the antenna produced by the dipole and the dielectric body will now be shown again with reference to
[0166] In the embodiment, the reflector respectively has a length and a width of 144 mm, the subreflector has a length and a width of 97 mm and a height of 21 mm. The dipole radiator used is in all embodiments the identical radiator having a resonant frequency range between 1.7 and 2.7 GHz.
[0167] In the example 001, the dielectric body has a diameter, and thus a maximum thickness D in the sense of the present invention, of 90 mm and a height H of 80 mm; in the example 002, a diameter, and thus a maximum thickness D in the sense of the present invention, of 50 mm and a height H of 50 mm. The relative permittivity of the material used amounts to 2.8 in each case.
[0168] In the diagram at the bottom of
[0169] The use of the dielectric body having the smaller diameter D furthermore also has the result that the resonant frequency range is changed. While the total frequency range between 1.8 and 2.7 can be used for the larger dielectric body, the smaller dielectric body in example 002 restricts the usable range to frequencies between 2.1 and 2.7. The smaller dielectric body therefore evidently no longer works as a waveguide for lower frequencies due to its small diameter. However, no diagram is included for this.
[0170] The diagram in
[0171] The dielectric body preferably has an effective relative permittivity of more than 2, further preferably of more than 2.5.
[0172] This can be achieved, for example, by the production of the dielectric body from a solid material having a corresponding relative permittivity. Instead, the body could also be produced from a material having a higher relative permittivity of e.g. 6 and could have air holes that again reduce the effective relative permittivity of the dielectric body. Instead, a material having a low relative permittivity could also be used into which a granulate having a high relative permittivity is injected. For example in this respect, a granulate having a relative permittivity of 30 could be introduced into a matrix material having a relative permittivity of 1.
[0173] The effective relative permittivity is in this respect constant over the extent of the dielectric body in a preferred embodiment.
[0174] However, a material having a gradient of the relative permittivity could also be used to influence the radiation properties.
[0175] In addition, the following adaptations are conceivable to influence the radiation properties:
[0176] The height H.sub.S of the dipole or of the dipole segments 4 above the reflector 10 is drawn in
[0177] The directivity effect of the dielectric body furthermore depends, as shown above, on the maximum thickness D or on the diameter of the dielectric body. In accordance with the invention, the spacing H.sub.S between the dipole and the reflector can now be configured ideally for low frequencies, while the maximum thickness D or the diameter of the dielectric cone is designed ideally for high frequencies.
[0178] The radiation properties of the antenna can furthermore be influenced by the use of metallic and/or conductive objects in the region of the dielectric body. One or more metal disks or plates 14 can thus, for example, be attached in the dielectric body or at the dielectric body. In this respect, a metal disk that stands perpendicular on the main radiation direction can in particular be integrated into the dielectric body or can be attached to its lower side. It is alternatively or additionally conceivable to equip the surface of the dielectric body with a surface metallization 15. The surface metallization 15 is in this respect preferably only arranged at the outer periphery of the dielectric body. The directive effect of the antenna can also be influenced by such metallic and/or conductive elements. The electrical and conductive elements are preferably adapted in this respect such that its directivity effect is ideal for a different frequency range than the directivity effect of the spacing H.sub.S between the dipole and the reflector, and/or the directivity effect of the dielectric body.
[0179] The influence of the lens region will be examined again in more detail with reference to
[0180]
[0181] The change in accordance with the invention of the radiation plane can in particular be utilized with group antenna arrangements having a high radiator density to change the far-field characteristic. The dielectric bodies in accordance with the invention are in this respect in particular only used with some of the antennas such that their radiation plane is displaced to a height that is in a preferred relation with the radiation plane of the remaining radiators.
[0182]
[0183] The dipole radiators of the first antennas and of the second antennas are arranged on a common reflector 10 and would therefore have the same radiation plane without the dielectric bodies 23. The displacement of the aperture or of the radiation plane of the individual radiators therefore reduces the mutual coupling of the individual antennas. The near-field coupling and consequently the far-field values such as the opening angle and the directional effect of the antenna can hereby be improved.
[0184] In the embodiment, the antenna arrangement has a plurality of rows 24, 24′, 24″ and a plurality of columns 25, 25′, 25″. The first antennas 21 having a dielectric body 23 and the second antennas 22 without such a dielectric body alternate in this respect both in the rows and in the columns.
[0185]
[0186] The directivity and the gain of the individual examples are shown in dependence on the frequency at the bottom of
[0187] In the embodiment shown in
[0188] Alternatively, however, the first antennas can also form one or more group antennas among one another while the second antennas each form one or more separate group antennas among one another. In this case, the first antennas within a column or a row are preferably connected to one or more common ports via a phase shifter and the second antennas within a column or a row are connected to one or more ports via one or more phase shifters.
[0189] In a further embodiment, the individual antennas can also each have separate ports in order, for example, to be able to be flexibly interconnected for beam-forming or beam-shaping applications or to be separately operable. The antenna arrangement is in this case preferably an active antenna arrangement in which a separate amplifier is associated with each of the individual antennas.
[0190] The antenna arrangement in accordance with the invention can, however, also be a passive antenna without an amplifier.
[0191] In the embodiment of a cellular radio antenna arrangement in accordance with the invention shown in
[0192] In
[0193] An antenna in accordance with the prior art is first shown at the top in
[0194] This effect is prevented in accordance with the invention in that, with an otherwise identical structure, dielectric bodies 33 are arranged on the first antennas 31, said dielectric bodies raising the radiation plane of the first antennas 31 from the radiation plane 6 of their dipole radiators above the plane 34 of the dipole segments of the second antennas 32. The radiation characteristic of the first antennas 31 is hereby no longer negatively influenced by the presence of the second antennas. The displacement V and equivalently the height H of the dielectric bodies 33 is thus larger in this embodiment than the spacing K between the radiation plane 6 of the dipole radiators of the first antennas 31 and the radiation plane 34 of the dipole radiators of the second antennas.
[0195] In the embodiment shown in
[0196] The dipoles of the second antennas 32 are in contrast configured as VH pole, i.e. dipoles 32 and 32′ are used that are spaced apart from one another and that each have polarizations orthogonal to one another. They are interconnected to form an X pole via a 180° hybrid coupler.
[0197] The second antennas can in this respect, for example, be used as low-band antenna for the cellular radio frequency band between 698 and 960 MHz; the first antennas as high-band antennas for the frequency range between 1710 and 2690 MHz.
[0198] As shown in
[0199] The dipoles of the second antennas 32 can also be arranged in a square, with a respective first antenna 31 being located within such a square. Further first antennas 31 can furthermore be arranged between such squares of second antennas 32. Alternatively or additionally, the second antennas 32 can also be arranged in the form of a cross.
[0200] A third embodiment of an antenna arrangement in accordance with the invention is shown in
[0201] The antenna arrangement in accordance with the invention has first antennas 41, second antennas 42, and third antennas 43. The first antennas 41 and the third antennas 43 are used for transmission in the same frequency band; the second antennas 42 in contrast for transmission in a lower frequency band.
[0202] In this respect, the third antennas 43 are arranged in the region of the second antennas 42 and are upwardly offset in the radiation direction with respect to the first antennas 41. The second antennas 42 moreover have metal elements that extend up to and into a plane above the radiation plane 45 of the dipole radiators of the first antennas 41.
[0203] In the embodiment, the second antennas are in this respect antennas having side walls 47 and 48 that extend obliquely to the main radiation direction and between which slots 49 are formed that act as slot radiators. The obliquely extending side walls 47 and 48 in this respect together form a type of funnel. The dipole radiators of the first antennas 41 are arranged between these funnel-like antennas. Alternatively, the second antennas could also comprise dipole radiators that are arranged in a square.
[0204] In an antenna in accordance with the prior art, the radiation of the first antennas is therefore impaired by the metallic elements of the second antennas 42 arranged at the top in the radiation direction. The dipole radiators of the first antennas 41 and the dipole radiators of the third antennas 43 furthermore have different radiation planes 45 and 46.
[0205] Both problems are remedied in accordance with the invention by the use of dielectric bodies 44 on the dipole radiators of the first antennas 41. The height H of the dielectric bodies in this respect corresponds to the spacing between the radiation plane 46 of the dipole radiators of the third antennas and the radiation plane 45 of the dipole radiators of the first antennas.
[0206] This has the effect, on the one hand, that the first and third antennas have substantially the same radiation plane. The radiation plane of the first antennas is furthermore raised above the plane of the metallic elements of the second antennas so that their radiation properties are no longer negatively influenced.
[0207] The dipole radiators of the first and third antennas can be dual-polarized dipole radiators. The dipoles of the two polarizations are in this respect arranged crossed over one another. The dipole radiators can in this respect be designed such as was described in more detail with respect to the embodiment in
[0208] The dipole radiators of the first and third antennas can be of the same construction design and/or can have the same resonant frequency ranges. They typically only have slight differences in the base region with respect to their fastening.
[0209] The first and third antennas are preferably used for transmitting and/or receiving in the same frequency band. The first and third antennas can in this respect be interconnected to form one or more group antennas and can in particular be connected to one or more common ports via one or more phase shifters.
[0210] The second antennas are preferably used for transmission and/or reception in a lower frequency band than the first and/or third antennas. The second antennas are preferably interconnected to form one or more group antennas and can in particular be connected to one or more ports via one or more phase shifters.
[0211] The second antennas 42 and the first antennas 41 are arranged on a common reflector 10. The third antennas are arranged within the second antennas and preferably have their own subreflector that is likewise arranged within the second antennas 42. The first antennas can furthermore have frame-shaped subreflectors 11.
[0212] Independently of the specific configuration, those antennas are preferably used as first antennas in the cellular radio antenna arrangements of in accordance with the invention such as were already described in more detail above with respect to the antennas in accordance with the invention. This in particular applies to the dimensioning and/or to the configuration of the dielectric bodies.