[0001] This invention relates to a radio frequency load resistor for terminating a radio
frequency transmission line, this load resistor comprising an input adapted to be
connected with a coaxial cable, a center conductor extending from this input and terminating
in a free end, and an outer conductor extending from the input to a juncture with
the center conductor, the ratio of the radius of the outer conductor to the radius
of the center conductor varying inversely with the distance from the input.
[0002] Radio frequency (RF) load resistors are commonly used to absorb the power output
of a transmission line. Such a device is used to replace the transmitting antenna
in circumstances where radiated power would be undesirable, for example during a tuning
operation. Such loads may be required to absorb power ranging from a few watts to
several hundred watts. Further, radio frequency load resistors are sometimes required
to have a voltage standing wave ratio of relatively low value of about 1.10 or less.
[0003] In the prior art, RF load resistors have been used which include a resistive center
conductor for dissipating the RF energy. An outer conductor of conical shape provides
the desired impedance characteristic and also serves as a medium through which the
heat energy is dissipated. A heat sink comprising an oil filled can with external
fins is disposed over the conical outer conductor. This arrangement relies upon heat
transfer from the resistive center conductor by convection and conduction through
an air or oil dielectric to the heat sink. This imposes a limit on the cooling capacity
for the load resistor. This device is of relatively complex structure which requires
numerous parts.
[0004] The present invention overcomes the disadvantages and limitations of the prior art
radio frequency load resis- torsby providing a radio frequency load resistor, for
terminating a radio frequency transmission line, which comprises: an input adapted
to be connected with a coaxial cable; a center conductor extending from this input
and terminating in a free end; and an outer conductor extending from the input to
a juncture with the center conductor, the ratio of the radius of the outer conductor
to the radius of the center conductor varying inversely with the distance from the
input, the outer conductor having a higher resistance than the center conductor, and
the value of this ratio and the value of this resistance being correlated so that
the impedance of this load resistor is matched to the impedance of the coaxial cable.
[0005] In accordance with the invention, an RF load resistor is provided which exhibits
a wide bandwidth with a low voltage standing wave ratio and is capable of absorbing
high power. It is also of simple construction with few parts.
[0006] The manner of carrying out the invention is described in detail below with reference
to the accompanying drawings which illustrate two specific embodiments, in which:
FIGURE 1 shows one embodiment of the RF load resistor of this invention in a cross-sectional
view;
FIGURE 2 is a view taken on lines 2-2 of FIGURE 1; and
FIGURE 3 shows another embodiment of the RF load resistor of this invention.
[0007] Referring now to the drawings, there is shown illustrative embodiments of an RF load
resistor for a coaxial cable according to the invention.
[0008] A termination for a non-resonant line which will absorb transmitted power without
reflection requires a resistive load having an input impedance equal to the characteristic
impedance of the line. A coaxial cable having a characteristic impedance of 50 ohms,
for example, may be terminated with a 50 ohm resistor connected across its output
end and the transmitted power will be dissipated in the resistor with a minimum of
reflection. In order to provide such a termination it is necessary to couple the load
resistor to the coaxial cable in such a way that the load resistor itself has an input
impedance equal to the characteristic impedance of the cable.
[0009] Before proceeding with a detailed description of the device of this invention, it
will be helpful to consider certain relationships regarding transmission line impedance.
A concentric line or coaxial cable has a characteristic impedance which may be expressed
as follows:

[0010] Where:
µ = permeability of free space
E0 = permittivity of free space
r2 = inner radius of outer conductor, and
r1 = radius of center conductor.
For convenience, the constant terms may be combined and represented by k so that the
characteristic impedance may be expressed as:

[0011] The impedance of a coaxial line is, of course, significantly increased by inserting
a resistor in the line. This can be done by inserting a section of line which has
the outer conductor made up of a dielectric substrate having a layer of resistive
material thereon to provide a "lumped" resistance. A conductor comprising a resistive
film on the surface of a dielectric substrate will have a resistance value:

[0012] Where:
p resistivity of the film material
d = length along the axis, and
A cross-sectional area of the film.
[0013] A load resistor may be constructed so that it will have an input impedance equal
to the characteristic impedance of a coaxial line by correlating the change of lumped
resistance along the line with the change of distributed impedance along the line.
For this purpose, at every increment of distance along the line, the cumulative lumped
resistance should be offset by the cumulative reduction of distributed impedance of
the line. This can be realized by making:

[0014] Where:
Z = k 1n

= distributed impedance
R =

= lumped resistance, and
x = distance along the axis of the resistor from the input end.
[0015] In general, according to this invention, a load resistor has a distributed impedance
which is decreased gradually along the line while the cumulative lumped resistance
is increased gradually along the line. Accordingly, the ratio of the inner radius
of the outer conductor to the radius of the center conductor decreases along the line
according to a predetermined function and the cumulative lumped resistance increases
according to a predetermined function, the functions being correlated in such a manner
that reflection of energy.by the resistor is minimized.
[0016] In a first embodiment of this invention, the radius of the center conductor is uniform
along the line and the radius of the outer conductor decreases according to an exponential
function of distance along the line. The particular function is derived from equation
(2) and (4) to obtain:

and,

[0017] . Where:
e = base of natural logarithms
Z = characteristic impedance of the line being terminated
d = length of resistive element, and
k = a constant of proportionality.
With a radius r
2 for the outer conductor, as given in equation (5), the cumulative value of lumped
resistance must increase linearly with distance along the line. From inspection of
equation (3) it will be seen that:

which shows that resistance per unit length is constant if the cross-sectional area
A is constant. For a thin film on the inner surface of a cylinder, the cross-sectional
area of the film on a cylinder of radius r is approximately:

Thus the area A will be constant along the line if the product of the radius r and
film thickness t is constant. This relationship of film thickness and radius is obtained
by depositing the thin film by sputtering the film material from a wire coaxially
disposed within an outer conductor having a radius which varies according to equation
(5). From equation (7), it will be seen that the thickness of the film is given by:

Thus, where the cross-sectional area A is held constant, the thickness of the film
varies inversely with the inner radius of the outer conductor.
[0018] In a second embodiment of the invention, the radius of the center conductor is uniform
along the line and the radius of the outer conductor decreases according to a linear
function of distance along the line. With the radius increasing linearly, the cumulative
value of lumped resistance must increase according to a predetermined function. That
function is satisfied by a uniform thickness of the resistive material. This can be
provided by a tumbling operation to coat the outer conductor with a resistive material
such as carbon particles.
[0019] Referring now to FIGURE 1, a first preferred embodiment of the RF load resistor is
shown. The load resistor comprises, in general, a coaxial input 12 and a load resistor
14. The input 12 is adapted to be connected with the output end of the coaxial cable
(not shown) which is fed from an RF generator. The power supplied by the coaxial cable
to the input 12 is to be dissipated in the load resistor 14.
[0020] The input 12 includes a conventional coaxial cable connector member comprising an
outer metal sleeve or terminal 18 and a center metal pin or terminal 20. The sleeve
18 contains a dielectric body 22, such as Teflon, which supports the center pin 20
coaxially of the sleeve 18. Additionally, the sleeve 18 is provided with a screw thread
24 for mating engagement with the associated connector member on the end of a coaxial
cable.
[0021] The input 12 also includes a transition section or adapter 16 for the purpose of
adapting the coaxial cable to the input of the load resistor 14. The adapter 16 increases
the sizes of the conductors with a minimum of discontinuity in the impedance of the
line. The adapter 16 comprises an outer conductor or sleeve 26 which is an integral
extension of the sleeve 18, with an increased inside diameter. A center conductor
28, which is larger than the pin 20, extends from an integral connection with the
pin and terminates in a free end 30. The conductor 28 is the center conductor for
both the transition section or adapter 16 and the load resistor 14. The center conductor
28 is a cylindrical metal rod of uniform diameter.
[0022] The load resistor comprises a portion of the center conductor 28 and an outer member
32 of dielectric material which is preferably a ceramic material such as alumina or
berylia. The outer member 32 defines an axial bore 34 with an input section 36 of
uniform diameter which is equal to that of sleeve 26. The axial bore 34 of the member
32 also includes an elongated horn-shaped load section 38. The load section 38'of
the bore is of tapered diameter which gradually diminishes from the diameter of the
input section 36 to the diameter of the center conductor 28 at the free end 30 thereof.
The bore 34 is defined by an inner wall surface 40 which is a surface of revolution
and hence has a circular transverse cross-section at all locations. As described subsequently,
the wall surface 40 serves as a substrate for a thin layer of film 50 of-resistive
material.
[0023] The outer member 32 is mounted on the adapter 16 by a flange 42 which is secured
to the member 32 by a solder ring 44. The free end 30 of the center conductor 28 is
conductively connected with the outer member 32 by a solder ring 46.
[0024] A thin film 50 of resistive material is deposited on the inner surface of the load
section 38 of the outer member 32. The inner surface 40 of the outer member 32 has
a radius which is an exponential function of distance along the axis of the inner
conductor 28. In particular, the radius of the inner surface 40 is given by equation
(5) above. The film is suitably a metallic film, preferably gold, and has a thickness
which gradually increases with decreasing diameter of the surface 40. The thickness
of the film 50 is such that the resistance is a linear function of distance along
the line in order to prevent reflection of energy from the load resistor. In particular,
the thickness of the film is inversely proportional to the radius of the inner surface.
As described above with reference to this first embodiment, this variation of film
thickness may be obtained by sputtering of the metal onto the inner surface 40. For
example, the thin film is suitably sputtered onto the inner surface from an axially
disposed wire extending the length of the outer member 32.
[0025] The outer member 32, as shown in FIGURES 1 and 2, is generally cylindrical in its
outline configuration. It is preferably a monolithic structure of ceramic material
having good heat transfer properties. The outer member 32 includes a plurality of
radially extending heat dissipating fins 52.
[0026] In operation of the load resistor shown in FIGURES 1 and 2, the radio frequency energy
fed to the resistor is converted to heat energy in the resistive film 50. The heat
is transferred from the resistive film by conduction through the outer member 32 and
is dissipated to the surrounding atmosphere or other medium through the fins 52. It
is to be noted that in this embodiment of the invention the heat energy is uniformly
distributed along the axis of the load section 38 of the resistor. This is obtained
because the resistance is a linear function of distance along the axis and hence the
power loss is uniformly distributed along the axis. This distribution of power loss
is highly advantageous in heat transfer from the resistive film to the surrounding
atmosphere.
[0027] A second embodiment of the invention is disclosed in FIGURE 3; in this embodiment
all of the parts are the same as those in the embodiment of FIGURES 1 and 2 except
for the ceramic member 32. Accordingly, the same parts in the embodiment of FIGURE
3 are designated with the same reference characters as used in FIGURE 1. The description
given above with reference to FIGURES 1 and 2 is applicable to FIGURE 3 except for
the outer member 32'. The difference between member 32' and member 32 is in the shape
of the axial bore 34' in the load section 38' and the thickness of the resistive film
50'. As described above with reference to the second embodiment, the inner radius
of the outer conductor, i.e. the surface 40' increases as a linear function of distance
along the line. In this embodiment the film 50' of resistive material is of uniform
thickness over the surface 40'. The film 50' of resistive material is suitably a layer
of carbon particles which have been applied with uniform thickness. The operation
of the embodiment of FIGURE 3 is the same as described above except that it does not
have the advantage of uniform distribution of power loss along the axis of the load
resistor.
1. Radio frequency load resistor for terminating a radio frequency transmission line,
said load resistor (14) comprising: an input (12) adapted to be connected with a coaxial
cable; a center conductor (28) extending from said input (12) and terminating in a
free end (30); and an outer conductor (32;32') extending from said input (12) to a
juncture (46) with the center conductor (28), the ratio of the radius of the outer
conductor (32;32') to the radius of the center conductor (28) varying inversely with
the distance from said input (12); characterized in that the outer conductor (32;32')
has a higher resistance than the center conductor (28), and the value of said ratio
and the value of said resistance are correlated so that the impedance of said load
resistor (14) is matched to the impedance of the coaxial cable.
2. Radio frequency load resistor as claimed in claim 1, characterized in that the
center conductor (28) has a uniform radius from said input (12) to said juncture (46)
and the outer conductor (32;32') has a radius which gradually decreases from said
input (12) to said juncture (46).
3. Radio frequency load resistor as claimed in claim 2, characterized in that the
outer conductor (32;32') comprises a dielectric substrate (32;32') with a film (50;
50') of resistive material on the inner surface thereof.
4. Radio frequency load resistor as claimed in claim 3, characterized in that the
radius of the inner surface of the dielectric substrate (32) is an exponential function
of the distance from said input (12).
5. Radio frequency load resistor as claimed in claim 4, characterized in that the
resistive film (50) has a constant value of resistance per unit distance along the
axis of the dielectric substrate (32).
6. Radio frequency load resistor as claimed in claim 5, characterized in that the
resistive film (50) has a thickness which varies inversely as the radius of the inner
surface of the dielectric substrate (32).
7. Radio frequency load resistor as claimed in claim 3, characterized in that the
radius of the inner surface of the dielectric substrate (32') is a linear function
of the distance along the axis thereof from said input (12).
8. Radio frequency load resistor as claimed in claim 7, characterized in that the
resistive film has an increasing value of resistance per unit distance along the axis
of the dielectric substrate (32').
9. Radio frequency load resistor as claimed in claim 8, characterized in that the
resistive film has a uniform thickness.
10. Radio frequency load resistor as claimed in claim 3, characterized in that the
dielectric substrate (32; 32') is a body of ceramic material.
11. Radio frequency load resistor as claimed in claim 10, characterized in that said
body of ceramic material includes heat dissipating fins (52) thereon.