U.S. patent number 3,761,846 [Application Number 05/139,326] was granted by the patent office on 1973-09-25 for impedance-matching resistor.
This patent grant is currently assigned to Iwasaki Tsushinki Kabushiki Kaisha. Invention is credited to Kiyoshi Tsuboi.
United States Patent |
3,761,846 |
Tsuboi |
September 25, 1973 |
IMPEDANCE-MATCHING RESISTOR
Abstract
An impedance-matching resistor connected between two
transmission paths of different characteristic impedances Z.sub.o
and (Z.sub.o + Rg) by the use of a series-impedance Rg, in which
the impedance-matching resistor is formed into a transmission line,
such as a coaxial line or a strip line, and a characteristic
impedance Zch of the transmission line is varied so as to meet with
a condition (Z.sub.o + x/L .sup.. Rg) at a medium point spaced by a
distance x from the input of one of said two transmission paths,
the above mentioned one of the two transmission paths having the
characteristic impedance Z.sub.o.
Inventors: |
Tsuboi; Kiyoshi (Setagaya-ku,
Tokyo-to, JA) |
Assignee: |
Iwasaki Tsushinki Kabushiki
Kaisha (Tokyo-to, JA)
|
Family
ID: |
12498065 |
Appl.
No.: |
05/139,326 |
Filed: |
May 3, 1971 |
Foreign Application Priority Data
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|
|
|
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May 4, 1970 [JA] |
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45/37458 |
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Current U.S.
Class: |
333/33; 338/216;
333/34 |
Current CPC
Class: |
H01P
5/026 (20130101); H01P 5/028 (20130101) |
Current International
Class: |
H01P
5/02 (20060101); H03h 007/38 () |
Field of
Search: |
;333/33,34,32
;338/216,217 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Rolinec; Rudolph V.
Assistant Examiner: Chatmon, Jr.; Saxfield
Claims
I claim:
1. An impedance matching resistor comprising a transmission line of
predetermined length L, having an axial portion comprising one end
having a characteristic impedance Z.sub.o and another axial portion
integral with the first-mentioned portion comprising the opposite
end and having a characteristic impedance (Z.sub.o +R.sub.g) to
jointly define a relationship, (Z.sub.o +xR.sub.g /L) defining a
characteristic impedance at a point x along a length L of said
length of transmission line.
2. An impedance matching resistor comprising a first conductor of
predetermined length comprising a material having a constant
resistance per unit length and a second conductor, said conductors
having a configuration wherein the ratio of the transverse
dimensions of said conductors at any point along the length thereof
defines an exponential function, thereby jointly defining a
transmission line having a linear characteristic series impedance
variation linear in both directions along the length thereof, and
each of said conductors having means for connecting alternatively
thereto a bi-directional input and output.
3. An impedance matching resisitor according to claim 11, wherein
said conductors are disposed coaxially, said first conductor
comprises a center coaxial conductor having a uniform width,
insulation disposed between the two conductors for insulating said
first conductor from said second conductor, said second conductor
having a configuration whereby the ratio of its transverse
dimension and the transverse dimension of said first conductor
define an exponential function.
4. An impedance matching resistor according to claim 2, wherein
said second conductor has a uniform width and wherein said first
conductor has a configuration whereby the ratio of the transverse
dimension second conductor and the transverse dimension of said
first conductor define an exponential function.
5. An impedance matching resistor according to claim 2, wherein
said first conductor and said second conductor define a strip line
transmission line.
Description
This invention relates to impedance-matching resistors used in high
frequency circuits.
An impedance-matching resistor is usually employed to connect an
output of a high frequency circuit, such as a pulse generator, to a
load impedance. However, since impedance-matching realized in
accordance with conventional techniques is incomplete, distortion
of a wave form occurs in a transmitted pulse if the pulse is
transmitted in a high frequency circuit.
An object of this invention is to provide an impedance-matching
resistor employed for theoretically providing impedance-matching in
a high frequency circuit so as to eliminate distortion of a
transmitted wave form .
The principle and construction of the invention will be understood
from the following detailed discussion in conjunction with the
accompanying drawings, in which the same or equivalent parts are
designated by the same reference numerals, characters, and symbols,
and in which:
FIG. 1 is a circuit diagram illustrating an example of a
conventional pulse generator using an Esaki diode (tunnel
diode);
FIG. 2 is a wave form of an output of the pulse generator shown in
FIG. 1;
FIG. 3 is a schematic section illustrating an embodiment of this
invention applied to a coaxial cable; and
FIGS. 4A and 4B are respectively a schematic plane view and a
schematic side view illustrating an embodiment of this invention
applied to a strip line on a printed wiring board.
With reference to FIGS. 1 and 2, defects of conventional
impedance-matching techniques are described. In a conventional
pulse generator using an Esaki diode, an impedance-matching
resistor Rg is usually inserted between an Esaki diode D and a load
impedance Z.sub.L as in FIG. 1. A high impedance source and a
trigger pulse source are connected across terminals S.sub.1 and
S.sub.2. If a coaxial cable having a characteristic impedance of 50
Ohms is connected as the load impedance Z.sub.L, a single registor
of 50 Ohms is usually employed as the inserted resistor Rg.
However, since an impedance looking into the load impedance Z.sub.L
from the pulse generator is not matched with a high impedance of
the pulse generator, "overshoot" La appears at a rear end of a
pulse as shown in FIG. 2.
In this case, an impedance looking into the load impedance Z.sub.L
from two terminals of the Esaki diode D assumes values Z.sub.L or
(Rg + Z.sub.L) if the inserted resistor Rg is equal to zero or is
not equal to zero respectively. As a matter of fact, the Esaki
diode D and the load impedance Z.sub.L are connected to each other
by a transmission line, such as a coaxial cable or a strip line
etc. Accordingly, the above mentioned overshoot cannot be
eliminated if impedance matching is not performed between the Esaki
diode D and the load impedance Z.sub.L, so that the output of the
pulse generator cannot be employed for a pulse device, such as a
sampling oscilloscope.
In view of the situation, an impedance-matching resistor of this
invention is proposed to be used for inserting between two high
frequency circuits having different characteristic impedances
(Z.sub.o and Z.sub.o +Rg). For example, an impedance-matching
resistor of this invention is inserted between a Esaki diode D and
an input (usually an connector) of a connection line (e.g.; a
coaxial cable or a strip line). In this case, the characteristic
impedance of the impedance-matching resistor of this invention
defines a transmission line having a characteristic impedance Zch
and assumes an impedance (Rg + Z.sub.o) at the connection-side to
the Esaki diode D, while the characteristic impedance of the
impedance-matching resistor assumes an impedance Z.sub.o at the
connection-side to the connection line. Moreover, at a medium point
of the impedance-matching resistor, an impedance looking into the
connection line is equal to a characteristic impedance Zch of the
impedance-matching resistor at the medium point as mentioned
below.
Accordingly, the impedance-matching resistor of this invention is
so designed that the characteristic impedance Zch is gradually
varied along the longitudinal direction of this impedance-matching
resistor. In this case, many types of the impedance-matching
resistor can be realized in accordance with distribution types of a
substance causing a series-resistance (generally a
series-impedance). Examples of the impedance-matching resistor of
this invention are shown in FIGS. 3, 4 and 4A. Before detailed
description for the examples, theoretical principles for the
characteristic impedance of the impedance-matching resistor of this
invention are described below.
A characteristic impedance Zch of a transmission line is generally
given as a value Zch =.sqroot. L/C, if an inductance for a unit
length and a capacitance for a unit length are defined as values L
and C respectively. Moreover, assuming the inductance L and the
capacitance C between two conductors of a transmission line are
given, the characteristic impedance Zch of the transmission line
can be also obtained.
A characteristic impedance Zch of a coaxial cable can be indicated
as follows:
Zch = 138 .sqroot.u/e .sup.. log b/a (=) ........ (1)
In this case, references a, b, u and e are defined as a diameter of
an inner conductor, one half the inner diameter of an outer
conductor, and a specific permeability and a specific dielectric
constant of an insulator between the inner conductor and the outer
conductor respectively.
A strip line belongs to either two possible types which are the
balanced type and the unbalanced type. A characteristic impedance
Zch of a strip line of the balanced type can be defined as follows
if the width of the inner conductor, the thickness of the inner
conductor and the space between outer conductors are respectively
given as values W, t and b respectively and if a value W/(b-t) is
equal to or more than a value 0.35: ##SPC1##
In this case, a value C.sub.f /e.sup.. e.sub.o is a fringing
capacitance indicated by the use of micro-micro-farad as a unit
capacitance.
If the value W/(b-t) is less than the value 0.35, the
characteristic impedance Zch of a strip line of the balanced type
can be defined as follows:
Zch = Z.sub.L = 138 .sqroot.u/e.sup.. log 4b/.pi. d.sub.o ........
(3)
In this case, a reference d.sub.o is a diameter of a center
conductor of the strip line, the section of which is equivalently
deemed as a circle.
A characteristic impedance Zch of a strip line of the unbalanced
type can be defined as follows, if the space against an outer
conductor is assumed as a value h, and if a value t is
substantially equal to zero: ##SPC2##
Accordingly, if a desired value of the characteristic impedance Zch
is given, respective values a, b, h, W and t can be determined in
accordance with the above equations (1), (2), (3) and (4).
In embodiments shown in FIGS. 3 and 4, since an impedance-matching
resistor Rg is inserted between a diode D and a connector CT
connected to a coaxial cable or a strip line. It is deemed that the
diode D is connected, at the input of the impedance-matching
resistor Rg, to a coaxial cable having a ratio a/b defined by the
following relationship:
Z.sub.o + Rg = 138 .sqroot.u/e.sup.. log b/a ........ (5)
In a case of a strip line, respective values W etc. can be obtained
by replacing the characteristic resistance Z.sub.o by a value (Zch
+ Rg) in the equations (2), (3) and (4).
An impedance-matching resistor Rg of this invention is inserted
between two center conductors in the generality of cases. In a case
of insertion in a coaxial cable, if a whole length L of an internal
resistor is divided into a number of very short sections, and if
respective resistances from each division point to another end of
the impedance-matching resistor are assumed as values R.sub.1,
R.sub.2, . . . . , respective impedances looked into the load
Z.sub.o from each division point can be indicated by values
(R.sub.1 + Z.sub.L), (R.sub.2 + Z.sub.o), . . . . ..Accordingly,
respective values b.sub.1 /a.sub.1, b.sub.2 /a.sub.2, . . . of a
ratio b/a of respective diameters of the inner and outer conductors
at each division point can be determined so as to meet with the
following relationship:
Z.sub.o + R.sub.1 + K.sup.. log.sqroot. b.sub.1 /a.sub.1 ........
(6)
where K = 138 .sqroot.u/e .sup..
Z.sub.o + R.sub.2 + K.sup.. log .sqroot.b.sub.2 /a.sub.2 ........
(7)
Moreover, the whole outside pattern of the impedance-matching
resistor can be corrected under the above conditions.
In an example shown in FIG. 3 in which the resistance material is
uniformly distributed along the whole length having a rectangular
section, the following relationship is met with respect to a
characteristic impedance Zch = Z.sub.o +Rg x/L if the inner
diameter of an outer conductor at a division point is assumed as a
value 2bx, if a distance from the division point to an input of a
connector CT is assumed as a value x, and if the whole effective
length of the impedance-matching resistor is assumed as a value
L:
Zch = Z.sub.o + Rgx/L = K.sup.. log .sqroot.bx/a ........ (8)
Accordingly, an outside pattern 2 of the impedance-matching
resistor shown in FIG. 3 can be obtained by calculating the value
bx in response to the value x varied in a region from zero to the
value L.
On the other hand, if the inner diameter of the outer conductor is
constant while the width 2a of the resistor is varied for impedance
matching, a pattern of the width W.sub.x is determined as shown in
FIG. 4A so as to meet with the following relationship:
Zch = Z.sub.o + R.sub.g.sup.. x/L = K.sup.. log .sqroot.b/W.sub.x
........ (9)
In other words, the width W.sub.x is varied along a logarithmic
curve if the value b is constant.
In a case of a strip line, equations obtained by replacing the left
side Zch of equations (2), (3) and (4) by a value (Z.sub.o +
Rg.sup.. x/L) are also satisfied. Accordingly, a required
impedance-matching can be performed by adjusting the width W, the
thickness t, and the distance h against the outer conductor (i.e.;
a metal ground plate), and moreover the space b between the outer
conductors for the balanced type only.
With reference to FIGS. 4A and 4B, an embodiment of this invention
comprises an insulating board 3 usually used for printed wiring, a
resistive film 1 printed or evaporatively deposited on the
insulating board 3, a diode D connected to a conductor 5 on the
high-impedance side of the resistive film 1, a metal terminal 4
connected to another end of the resistive film 1, and a metal
ground plate 6 spaced by a space h from the insulating board 3.
As mentioned above, an impedance-matching resistor of this
invention is suitable for impedance-matching two transmission paths
of different impedances and useful for reliably transmitting pulses
without distortion.
* * * * *