EP0375840B1 - Apparatus for transmitting high-frequency signals - Google Patents

Apparatus for transmitting high-frequency signals Download PDF

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Publication number
EP0375840B1
EP0375840B1 EP89116628A EP89116628A EP0375840B1 EP 0375840 B1 EP0375840 B1 EP 0375840B1 EP 89116628 A EP89116628 A EP 89116628A EP 89116628 A EP89116628 A EP 89116628A EP 0375840 B1 EP0375840 B1 EP 0375840B1
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EP
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Prior art keywords
slots
frequency
openings
arrangement according
period length
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EP89116628A
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German (de)
French (fr)
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EP0375840A3 (en
EP0375840A2 (en
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Günter Dr. Thönnessen
Karl Schulze-Buxloh
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Kabel Rheydt AG
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Kabel Rheydt AG
AEG Kabel AG
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01PWAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
    • H01P11/00Apparatus or processes specially adapted for manufacturing waveguides or resonators, lines, or other devices of the waveguide type
    • H01P11/001Manufacturing waveguides or transmission lines of the waveguide type
    • H01P11/005Manufacturing coaxial lines
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q13/00Waveguide horns or mouths; Slot antennas; Leaky-waveguide antennas; Equivalent structures causing radiation along the transmission path of a guided wave
    • H01Q13/20Non-resonant leaky-waveguide or transmission-line antennas; Equivalent structures causing radiation along the transmission path of a guided wave
    • H01Q13/203Leaky coaxial lines

Definitions

  • the invention relates to an arrangement for transmitting high-frequency signals according to the preamble of claim 1 and a method for their production
  • a slotted coaxial cable with an inner conductor and an outer conductor is known, the outer conductor having a series of slots that periodically at a fixed interval arranged in succession and their dimensions are changed in accordance with a sinusoidal source distribution.
  • the angle of inclination of the slots is changed from slot to slot, on the other hand, the length of the slots, their curvature, or their geometry are modified in a certain way.
  • the disadvantage of this solution is the limited useful frequency range and the small number of slots per period, their different shape and the complicated production method.
  • a high-frequency coaxial cable with an inner conductor and - insulated from this - an outer conductor provided with bores is known from European Patent 0 028 500.
  • the bores and their mutual spacing are dimensioned such that the mutual spacing between adjacent bores decreases in the longitudinal direction, a maximum value of the spacings being provided at one end of the row and a minimum value at the other end of the row.
  • the holes are designed as circular holes. Overall, a larger part of the outer conductor is occupied by holes. The disadvantage of this arrangement is that, due to the size of the holes, only a few holes have to be made on the outer conductor within a periodicity interval.
  • the object of the invention is to design a leakage cable in such a way that the largest possible frequency range is transmitted with a field strength that is as large and constant as possible in this frequency range.
  • This object is achieved according to the invention by the features listed in the characterizing part of claim 1; Further developments of the invention and a method for producing a leakage cable are described in the subclaims.
  • the invention is preferably suitable for transmitting messages between mobile and / or fixed radio systems, for example in rail or road traffic, as well as in tunnels, shaded areas or underground.
  • the cables are suitable for both sending and receiving signals.
  • the invention is based on the knowledge that it is not primarily the hole size or shape that is decisive for the radiation intensity, but rather the number of openings and their expansion perpendicular to the cable axis.
  • the spacing of the slots within the period length does not follow a simple law.
  • the essence of the invention is that the slots are as narrow as possible and, due to their special arrangement, the pole points which are to be emitted in the frequency range to be radiated are extinguished or at least strongly damped are.
  • Narrow slots are not only easy to produce, but more of these slots can be accommodated within a given period than of any other opening shape.
  • the slot spacing for suppressing pole positions is calculated using suitable functions using the Fourier transformation.
  • a frequency function is calculated from a frequency function, which according to the invention is realized by narrow slots perpendicular to the cable axis.
  • the frequency of oscillation is 8f o .
  • the Fourier transform of the product from the output spectrum - with all pole positions - and this cosine function of the oscillation period 8f o is the convolution of the periodic individual opening with a pair of openings with a distance 2/8 of the period length; ie one opening per period becomes two.
  • the next step in the frequency domain is multiplied by F2, the cosine of the oscillation period 12f o .
  • the 3rd, 9th, 15th, ... pole positions are deleted.
  • each of the two openings per period is replaced by a double opening;
  • the two newly created openings are offset 1/12 of the period length to the right or left.
  • the amplitudes are analogous to those above:
  • the remaining spectrum is multiplied by F3, a cosine of the oscillation period 16f o ; this also eliminates the 4th, 12th, 20th, ... pole positions.
  • the four openings per period so far have become eight.
  • a preferred embodiment of the invention therefore consists in determining the zeros of the cosine functions in such a way that further pole positions are greatly weakened with a cosine function. This will the position of the zeros is not chosen exactly on the pole frequencies, but in such a way that the product of all cosine functions - for the pole frequencies as an argument - gives values ⁇ 5 ⁇ 10 ⁇ 2. In this way, the number of cosine functions required for smoothing the frequency response is reduced, so that the number and the minimum spacings of the slots to be accommodated in one period length can be realized technically.
  • FIG. 1 shows the result of the transformation of the "ideal" excitation function F into the spatial area
  • FIG. 2 shows the same for an optimized excitation function
  • FIG. 3 shows the schematic representation of a manufacturing process for a cable.
  • the slot arrangement shown in FIG. 1 shows a special feature of some groups of closely adjacent slots, which are separated from the next slots by more or less large gaps. The space without slots is particularly noticeable in the right part of FIG.
  • the slot arrangement is based on the "ideal" excitation function
  • N the order of the pole.
  • the shift of the zeros of the cosine functions already mentioned results, for example, in a slot configuration as shown in FIG. 2.
  • such a leakage cable can effectively suppress pole positions up to the 15th order.
  • the smallest slot spacing is 8 mm.
  • the method for producing an arrangement according to the invention is explained in more detail with reference to FIG. 3. It shows a schematic picture of the cable production.
  • the conductor strip 3 is provided with a certain slot sequence, which is repeated with the period length p, by means of mechanical or electrical methods.
  • the period length is preferably 2.2 m.
  • the slotted strip preferably a copper strip, passes through the two rollers 5 simultaneously with a tensile plastic strip 6, which is laminated onto the strip 3 by pressure or heat.
  • the band 6 covers the slots in such a way that the slots are mechanically secured against expansion when subjected to tensile stress. This also prevents the slots from being compressed or widened when the laminate is subsequently bent.
  • the inner conductor 8 is surrounded by the dielectric 4 made of insulating material.
  • This arrangement is enveloped by the laminate or by the copper strip, which is welded together at the interface by a welding device 7 to form a tube.
  • the coaxial cable is finished by extruding a sheath.
  • the slots are cut through sealed an adhesive.
  • the adhesive has such a short hardening or setting time that the slots are mechanically secured before further deformation in the further processing to the cable can cause damage.
  • the slots can be produced by spark erosion or cut into the conductor strip 3 by a laser.
  • An alternative would be to produce the slots using rotating saw blades, which already have the correct slot spacing by means of spacers. Since these slots repeat with the period length p, it is possible in this way to produce the slots for one period length in one operation with one set of saw blades. For continuous production, the copper strip 3 is only to be shifted exactly by the period length p before the next group of slots is produced.
  • the pattern of the slots is applied as raised webs on the circumference of a roller, the circumference of which corresponds to the period length of the slot arrangement.
  • the roller is constantly coated with a non-stick agent so that the webs can apply this substance to a belt.
  • the tape is made of polyester, for example, and is coated with non-stick agent, for example graphite powder, after printing. The slots remain free.
  • the strip is then copper-plated.
  • the coated tape is then formed into the outer conductor of a coaxial cable.

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  • Engineering & Computer Science (AREA)
  • Manufacturing & Machinery (AREA)
  • Waveguide Aerials (AREA)
  • Communication Cables (AREA)
  • Reduction Or Emphasis Of Bandwidth Of Signals (AREA)
  • Radar Systems Or Details Thereof (AREA)
  • Burglar Alarm Systems (AREA)
  • Magnetic Resonance Imaging Apparatus (AREA)
  • Transition And Organic Metals Composition Catalysts For Addition Polymerization (AREA)
  • Addition Polymer Or Copolymer, Post-Treatments, Or Chemical Modifications (AREA)
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  • Transplanting Machines (AREA)

Abstract

An apparatus for transmitting high-frequency signals with a coaxial cable provided with apertures in the outer conductor, where the apertures recur, seen in the longitudinal direction of the cable, in groups with a period length which is selected so that the groups of apertures radiate high-frequency signals from a desired lower limit frequency f0 and that the pole positions which are allocated to the multiples of the lower limit frequency f0 are eliminated or at least substantially attenuated in the frequency response of the coupling attenuation, is designed so that the number of apertures per period is greater than 30, the apertures are slits (1) which are as narrow as possible and the slits (1) are disposed essentially perpendicular in relation to the cable axis.

Description

Die Erfindung betrifft eine Anordnung zum Übertragen von Hochfrequenzsignalen nach dem Oberbegriff des Anspruchs 1 sowie ein Verfahren zu ihrer HerstellungThe invention relates to an arrangement for transmitting high-frequency signals according to the preamble of claim 1 and a method for their production

Um die Funkverbindung zu Fahrzeugen längs einer Fahrspur (Straße, Eisenbahn) aufrecht zu erhalten, genügt es, das Funksignal innerhalb einer begrenzten Umgebung dieser Spur auszustrahlen bzw von dort zu empfangen. Für den Funkbetrieb im Bereich 50 bis 1000 MHz sind hierzu offene Koaxialkabel geeignet, d.h. Leiter bestehend aus einem Innenleiter und einem diesen umgebenden elektrisch durchlässigen Außenleiter. Diese Kabel ermöglichen eine zuverlässige Funkverbindung auch unter ungünstigen Umgebungsverhältnissen, wie z.B. im Tunnel. Die abgestrahlte Energie sollte in einem möglichst großen Frequenzbereich räumlich und zeitlich möglichst wenig fluktuieren. Koaxialkabel mit Öffnungen gibt es in vielen verschiedenen Bauformen, die vielfach seit Jahren eingesetzt wurden Man unterscheidet:

  • a) nicht abstrahlende offene Wellenleiter; hierzu gehören u.a. Kabel mit einem Außenleiter aus grobem Drahtgeflecht, Kabel mit durchgehendem Längsschlitz, und Kabel mit kleinen Öffnungen in kurzen Abständen und
  • b) radial abstrahlende Kabel oder Leckkabel; diese werden hier näher betrachtet.
In order to maintain the radio connection to vehicles along a lane (road, railroad), it is sufficient to transmit the radio signal within a limited environment of this lane or to receive it from there. Open coaxial cables are suitable for radio operation in the 50 to 1000 MHz range, ie conductors consisting of an inner conductor and an electrically permeable outer conductor surrounding it. These cables enable a reliable radio connection even under unfavorable environmental conditions, such as in a tunnel. The radiated energy should fluctuate as little as possible in space and time in the largest possible frequency range. Coaxial cables with openings are available in many different designs that have been used for many years.
  • a) non-radiating open waveguides; These include cables with an outer conductor made of coarse wire mesh, cables with a continuous longitudinal slot, and cables with small openings at short intervals and
  • b) radially radiating cables or leakage cables; these are considered in more detail here.

Aus der DE-OS 21 03 559 ist ein geschlitztes Koaxialkabel mit einem Innenleiter und einem Außenleiter bekannt, wobei der Außenleiter eine Reihe von Schlitzen aufweist, die in einem festen Intervall periodisch aufeinanderfolgend angeordnet und hinsichtlich ihrer Abmessungen entsprechend einer sinusförmigen Quellenverteilung geändert sind. Einerseits wird der Neigungswinkel der Schlitze von Schlitz zu Schlitz geändert, andererseits wird auch die Länge der Schlitze, ihre Krümmung, oder ihre Geometrie in bestimmter Weise abgewandelt. Nachteilig bei dieser Lösung ist der eingeschränke Nutzfrequenz-Bereich sowie die geringe Anzahl der Schlitze pro Periode, ihre verschiedene Form und die komplizierte Herstellungsweise.From DE-OS 21 03 559 a slotted coaxial cable with an inner conductor and an outer conductor is known, the outer conductor having a series of slots that periodically at a fixed interval arranged in succession and their dimensions are changed in accordance with a sinusoidal source distribution. On the one hand, the angle of inclination of the slots is changed from slot to slot, on the other hand, the length of the slots, their curvature, or their geometry are modified in a certain way. The disadvantage of this solution is the limited useful frequency range and the small number of slots per period, their different shape and the complicated production method.

Aus dem Europäischen Patent 0 028 500 ist ein Hochfrequenz-Koaxialkabel mit einem Innenleiter und - isoliert von diesem - ein mit Bohrungen versehener Außenleiter bekannt. Die Bohrungen und ihr gegenseitiger Abstand sind so bemessen, daß der gegenseitige Abstand zwischen benachbarten Bohrungen in Längsrichtung jeweils abnimmt, wobei ein Maximalwert der Abstände am einen Ende der Reihe und ein Minimalwert am anderen Ende der Reihe vorgesehen ist. Die Löcher sind als kreisrunde Bohrungen vorgesehen. Insgesamt wird ein größerer Teil des Außenleiters von Löchern eingenommen. Der Nachteil dieser Anordnung ist darin zu sehen, daß infolge der Größe der Bohrungen nur wenige Löcher innerhalb eines Periodizitätsintervalls auf dem Außenleiter anzubringen sind.A high-frequency coaxial cable with an inner conductor and - insulated from this - an outer conductor provided with bores is known from European Patent 0 028 500. The bores and their mutual spacing are dimensioned such that the mutual spacing between adjacent bores decreases in the longitudinal direction, a maximum value of the spacings being provided at one end of the row and a minimum value at the other end of the row. The holes are designed as circular holes. Overall, a larger part of the outer conductor is occupied by holes. The disadvantage of this arrangement is that, due to the size of the holes, only a few holes have to be made on the outer conductor within a periodicity interval.

Aus der DE-OS 22 30 280 sind Berechnungsverfahren zur Unterdrückung von unerwünschten Polstellen im Frequenzgang der Kopplungsdämpfung bekannt, die verschiedene geeignete Funktionen umfassen. In erster Linie sind Produkte aus Sinusfunktionen, Cosinusfunktionen und deren gemischte Produkte sowie aperiodische Funktionen untersucht worden.From DE-OS 22 30 280 calculation methods for suppressing unwanted pole points in the frequency response of the coupling loss are known, which include various suitable functions. Products from sine functions, cosine functions and their mixed products as well as aperiodic functions were examined primarily.

Nachteile der bisher bekannten Lösungen sind einerseits die begrenzte Bandbreite, welche nur etwa das 5fache der Grundfrequenz beträgt, und andererseits die nicht für alle Frequenzen innerhalb des übertragenen Frequenzbereichs hinreichend konstante Feldstärke. Bei einem Kabel mit periodischer Anordnung von Öffnungen besitzt der Frequenzgang der Kopplungsdämpfung Maxima außer bei der Grundfrequenz auch bei einer unbegrenzten Zahl von ganzzahligen Vielfachen der Grundfrequenz (Polstellen). Durch nicht genügend unterdrückte Polstellen kommt es zu Interferenzerscheinungen. Die Übertragung längs einer Übertragungsstrecke z.B. in einem Tunnel wird dadurch empfindlich beeinträchtigt. Bisher war es nicht möglich, in einem breiten Frequenzband die Polstellen höherer Ordnung zu unterdrücken und einen einigermaßen konstanten Frequenzgang zu erzielen.Disadvantages of the previously known solutions are, on the one hand, the limited bandwidth, which is only about 5 times the basic frequency, and, on the other hand, the field strength, which is not sufficiently constant for all frequencies within the transmitted frequency range. In the case of a cable with a periodic arrangement of openings, the frequency response of the coupling attenuation has maxima in addition to the fundamental frequency and also with an unlimited number of integral multiples of the fundamental frequency (Pole positions). If the poles are not sufficiently suppressed, interference will appear. The transmission along a transmission line, for example in a tunnel, is significantly affected. So far it has not been possible to suppress the higher order pole points in a broad frequency band and to achieve a reasonably constant frequency response.

Der Erfindung liegt die Aufgabe zugrunde, ein Leckkabel so zu gestalten, daß ein möglichst großer Frequenzbereich mit einer in diesem Frequenzbereich möglichst großen und konstanten Feldstärke übertragen wird. Diese Aufgabe wird gemäß der Erfindung durch die im Kennzeichen des Anspruchs 1 aufgeführten Merkmale gelöst; Weiterbildungen der Erfindung, sowie ein Verfahren zur Herstellung eines Leckkabels werden in den Unteransprüchen beschrieben.The object of the invention is to design a leakage cable in such a way that the largest possible frequency range is transmitted with a field strength that is as large and constant as possible in this frequency range. This object is achieved according to the invention by the features listed in the characterizing part of claim 1; Further developments of the invention and a method for producing a leakage cable are described in the subclaims.

Die Erfindung eignet sich vorzugsweise zur Nachrichtenübertragung zwischen mobilen und/oder ortsfesten Funkanlagen beispielsweise beim Schienen- oder Straßenverkehr sowie in Tunneln, Abschattungsgebieten oder unter Tage.The invention is preferably suitable for transmitting messages between mobile and / or fixed radio systems, for example in rail or road traffic, as well as in tunnels, shaded areas or underground.

Wegen der starken Abstrahlung bei geringer Wellendämpfung erfindungsgemäßer Leckkabel, eigenen sich diese ganz besonders zur Breitbandkommunikation entlang von Verkehrswegen. Hier kommen insbesondere Verkehrsleitsysteme (z.B. entlang von Autobahnen) in Betracht. Die Kabel eignen sich sowohl zum Aussenden als auch zum Empfangen von Signalen.Because of the strong radiation with low wave damping leakage cables according to the invention, these are particularly suitable for broadband communication along traffic routes. Traffic management systems (e.g. along motorways) are particularly important here. The cables are suitable for both sending and receiving signals.

Die Erfindung geht von der Erkenntnis aus, daß nicht primär die Lochgröße oder -form für die Abstrahlungsintensität entscheidend ist, sondern die Anzahl der Öffnungen und ihre Ausdehnung senkrecht zur Kabelachse.The invention is based on the knowledge that it is not primarily the hole size or shape that is decisive for the radiation intensity, but rather the number of openings and their expansion perpendicular to the cable axis.

Im Gegensatz zu den bekannten Anordnungen folgen die Abstände der Schlitze innerhalb der Periodenlänge keiner einfachen Gesetzmäßigkeit. Das Wesen der Erfindung besteht darin, daß die Schlitze möglichst schmal sind und durch ihre spezielle Anordnung die im abzustrahlenden Frequenzbereich störenden Polstellen ausgelöscht oder zumindest stark gedämpft sind. Schmale Schlitze sind nicht nur leicht herzustellen, es sind auch innerhalb einer vorgegebenen Periodenlänge von diesen Schlitzen mehr unterzubringen als von jeder anderen Öffnungsform.In contrast to the known arrangements, the spacing of the slots within the period length does not follow a simple law. The essence of the invention is that the slots are as narrow as possible and, due to their special arrangement, the pole points which are to be emitted in the frequency range to be radiated are extinguished or at least strongly damped are. Narrow slots are not only easy to produce, but more of these slots can be accommodated within a given period than of any other opening shape.

Die Berechnung der Schlitzabstände zur Unterdrückung von Polstellen geschieht mit geeigneten Funktionen mittels der Fourier-Transformation. Bei dieser wird aus einer Frequenzfunktion eine Funktion im Ortsraum berechnet, die nach der Erfindung durch schmale zur Kabelachse senkrechte Schlitze realisiert wird.The slot spacing for suppressing pole positions is calculated using suitable functions using the Fourier transformation. In this, a frequency function is calculated from a frequency function, which according to the invention is realized by narrow slots perpendicular to the cable axis.

Die erste Stufe dieser Vorgehensweise wird im folgenden erläutert. Durch Anbringen von Öffnungen, die paarweise zueinander den gleichen Abstand aufweisen, verursacht man bei einer gewissen Grundfrequenz fo, sowie bei allen ganzzahligen Vielfachen von fo Polstellen im Frequenzgang der Abstrahlung. Die Polstellen 2., 3., 4., n-ter Ordnung sollen möglichst unterdrückt werden. Dies wird durch sukzessive Multiplikation des Ausgangsspektrums mit Cosinusfunktionen F₁, F₂, F₃, F₄, F₅, ... (d.h. F = F₁· F₂· F₃, ...) erreicht. Die Funktionen haben bei der Frequenz f = 0 ihr Maximum (d.h. die Amplitude 1). Bei 2fo muß die Funktion F₁ durch 0 gehen, damit die Polstelle 2. Ordnung unterdrückt wird. Bei 4fo hat diese Funktion die Amplitude -1. Die Schwingungsdauer beträgt also 8fo. Die Fouriertransformierte des Produkts aus Ausgangsspektrum - mit allen Polstellen - und dieser Cosinusfunktion der Schwingungsdauer 8fo ist die Faltung der periodischen Einzelöffnung mit einem Öffnungspaar mit dem Abstand 2/8 der Periodenlänge; d.h. aus einer Öffnung pro Periode werden zwei.The first stage of this procedure is explained below. By making openings that are at the same distance from one another in pairs, one causes for a certain fundamental frequency f o , as well as for all integer multiples of f o pole positions in the frequency response of the radiation. The 2nd, 3rd, 4th, nth-order poles should be suppressed as far as possible. This is achieved by successively multiplying the output spectrum by cosine functions F₁, F₂, F₃, F₄, F₅, ... (ie F = F₁ · F₂ · F₃, ...). The functions have their maximum at frequency f = 0 (ie amplitude 1). At 2f o the function F₁ must go through 0 so that the 2nd order pole is suppressed. With 4f o this function has the amplitude -1. The period of oscillation is 8f o . The Fourier transform of the product from the output spectrum - with all pole positions - and this cosine function of the oscillation period 8f o is the convolution of the periodic individual opening with a pair of openings with a distance 2/8 of the period length; ie one opening per period becomes two.

Durch die erste Verdoppelung der Zahl der Öffnungen pro Periode mit dem aus der Fourier-Transformation berechneten Abstand wird im Frequenzbereich die 2., 6., 10,. 14., 18., ... Polstelle ausgelöscht. An den verbleibenden Polstellen sind folgende Amplituden zu erwarten:

Figure imgb0001
By doubling the number of openings per period with the distance calculated from the Fourier transformation, the 2nd, 6th, 10th,. 14th, 18th, ... pole point deleted. The following amplitudes can be expected at the remaining pole positions:
Figure imgb0001

Als nächster Schritt wird im Frequenzbereich das verbleibende Spektrum mit F₂, dem Cosinus der Schwingungsdauer 12fo multipliziert. Analog zum ersten Schritt erhält man die Auslöschung der 3., 9., 15., ... Polstelle.The next step in the frequency domain is multiplied by F₂, the cosine of the oscillation period 12f o . In the same way as for the first step, the 3rd, 9th, 15th, ... pole positions are deleted.

Im Ortsbereich wird jede der zwei Öffnungen pro Periode durch eine Doppelöffnung ersetzt; Die beiden neu entstandenen Öffnungen liegen je 1/12 der Periodenlänge nach rechts bzw. links versetzt. Die Amplituden lauten analog wie oben:

Figure imgb0002
In the local area, each of the two openings per period is replaced by a double opening; The two newly created openings are offset 1/12 of the period length to the right or left. The amplitudes are analogous to those above:
Figure imgb0002

Im nächsten Schritt wird das verbleibende Spektrum mit F₃, einem Cosinus der Schwingungsdauer 16fo multipliziert; damit werden zusätzlich die 4., 12., 20., ... Polstelle eliminiert. Aus den bisher vier Öffnungen pro Periode werden acht.In the next step, the remaining spectrum is multiplied by F₃, a cosine of the oscillation period 16f o ; this also eliminates the 4th, 12th, 20th, ... pole positions. The four openings per period so far have become eight.

Um die Polstellen Pn im Frequenzgang der Kopplungsdämpfung zu unterdrücken, muß für jede Polfrequenz fn = n·fo eine entsprechende Cosinusfunktion Fn = cosm( 1 n+1

Figure imgb0003
· π 2
Figure imgb0004
) in Ansatz gebracht und das Produkt aller Cosinusfunktionen fouriertransformiert werden. Dieses Verfahren führt bei Leckkabeln für eine niedrige Grundfrequenz fo und einen breiten Übertragungsfrequenzbereich rasch zu einer sehr großen Zahl von Schlitzen innerhalb der Periodenlänge und damit zu teilweise sehr kleinen Schlitzabständen.To the pole P in the frequency response of the coupling attenuation n suppress must for each pole frequency f n = n * f o a corresponding cosine function F n = cos m ( 1 n + 1
Figure imgb0003
· π 2nd
Figure imgb0004
) and the product of all cosine functions is Fourier transformed. With leakage cables for a low fundamental frequency f o and a wide transmission frequency range, this method quickly leads to a very large number of slots within the period length and thus to very small slot spacings in some cases.

Das Muster der Öffnungen hat bei einer Periodenlänge von beispielsweise 2,2 m und 64 Öffnungen pro Periode - was der Realisierung der Funktion F = F₁·F₂·F₃·F₄·F₅·F₆ entspricht - die in Fig. 1 widergegebene Form.The pattern of the openings has a period length of, for example, 2.2 m and 64 openings per period - which corresponds to the realization of the function F = F₁ · F₂ · F₃ · F₄ · F₅ · F₆ - the form shown in Fig. 1.

Eine bevorzugte Ausführungsform der Erfindung besteht deshalb darin, die Nullstellen der Cosinusfunktionen so festzulegen, daß mit einer Cosinusfunktion noch weitere Polstellen stark abgeschwächt werden. Dazu wird die Lage der Nullstellen nicht exakt auf den Polfrequenzen gewählt, sondern so, daß das Produkt aller Cosinusfunktionen - für die Polfrequenzen als Argument - Werte < 5·10⁻² ergibt. Auf diese Weise wird die Anzahl der für die Glättung des Frequenzgangs erforderlichen Cosinusfunktionen reduziert, so daß die Anzahl und die Mindestabstände der in einer Periodenlänge unterzubringenden Schlitze technisch realisierbar werden.A preferred embodiment of the invention therefore consists in determining the zeros of the cosine functions in such a way that further pole positions are greatly weakened with a cosine function. This will the position of the zeros is not chosen exactly on the pole frequencies, but in such a way that the product of all cosine functions - for the pole frequencies as an argument - gives values <5 · 10⁻². In this way, the number of cosine functions required for smoothing the frequency response is reduced, so that the number and the minimum spacings of the slots to be accommodated in one period length can be realized technically.

Ausführungsbeispiele der Erfindung werden nachstehend anhand der Zeichnung näher erläutert; dabei zeigt Figur 1 das Ergebnis der Transformation der "idealen" Anregungsfunktion F in den Ortsraum, Figur 2 das gleiche für eine optimierte Anregungsfunktion, und Figur 3 die schematische Darstellung eines Herstellungsverfahrens eines Kabels.Embodiments of the invention are explained below with reference to the drawing; 1 shows the result of the transformation of the "ideal" excitation function F into the spatial area, FIG. 2 shows the same for an optimized excitation function, and FIG. 3 shows the schematic representation of a manufacturing process for a cable.

Die in der Figur 1 dargestellte Schlitzanordnung zeigt als Besonderheit einige Gruppen eng benachbarter Schlitze, welche durch mehr oder weniger große Lücken von den nächsten Schlitzen getrennt sind. Auffällig ist der besonders im rechten Teil der Figur 1 auftretende Raum ohne Schlitze. Die Schlitzanordnung beruht auf der "idealen" Anregungsfunktion F = F₁·F₂·F₃·F₄·F₅·F₆, wobei F₁ = cos (nπ/2·2); F₂ = cos (nπ/2·3); F₃ = cos (nπ/2·4); F₄ = cos (nπ/2·5); F₅ = cos (nπ/2·7); F₆ = cos (nπ/2·8) ist. Dabei ist n = die Ordnung der Polstelle.The slot arrangement shown in FIG. 1 shows a special feature of some groups of closely adjacent slots, which are separated from the next slots by more or less large gaps. The space without slots is particularly noticeable in the right part of FIG. The slot arrangement is based on the "ideal" excitation function F = F₁ · F₂ · F₃ · F₄ · F₅ · F₆, where F₁ = cos (nπ / 2 · 2); F₂ = cos (nπ / 2 · 3); F₃ = cos (nπ / 2 · 4); F₄ = cos (nπ / 2 · 5); F₅ = cos (nπ / 2 · 7); F₆ = cos (nπ / 2 · 8). N = the order of the pole.

Die bereits erwähnte Verschiebung der Nullstellen der Cosinus-Funktionen ergibt beispielsweise eine Schlitzkonfiguration, wie sie in Figur 2 dargestellt ist. Die zugehörigen optimierten Cosinus-Funktionen lauten: F₁ = cos (nπ/2·2,02); F₂ = (nπ/2·3,06); F₃ = cos (nπ/2·4,41); F₄ = cos (nπ/2·5,94); F₅ = cos (nπ/2·8,48) und F₆ = cos (nπ/2·12,63).The shift of the zeros of the cosine functions already mentioned results, for example, in a slot configuration as shown in FIG. 2. The associated optimized cosine functions are: F₁ = cos (nπ / 2 · 2.02); F₂ = (nπ / 2 x 3.06); F₃ = cos (nπ / 2 x 4.41); F₄ = cos (nπ / 2 x 5.94); F₅ = cos (nπ / 2 · 8.48) and F₆ = cos (nπ / 2 · 12.63).

Obwohl die Nullstellen der Fi-Funktionen sich bei der optimierten Anregungsfunktion wesentlich von der "idealen" Anregungsfunktion unterscheiden, ist die Schlitzanordnung in beiden Fällen ähnlich.Although the zeros of the F i functions differ significantly from the "ideal" excitation function in the optimized excitation function, the slot arrangement is similar in both cases.

Bei einer Grundfrequenz von 63 MHz lassen sich mit einem solchen Leckkabel Polstellen bis zur 15. Ordnung wirksam unterdrücken. Der kleinste Schlitzabstand besträgt dabei 8 mm.At a basic frequency of 63 MHz, such a leakage cable can effectively suppress pole positions up to the 15th order. The smallest slot spacing is 8 mm.

Bei der Multiplikation mehrerer Cosinus-Funktionen unter der Nebenbedingung, daß sie bei einer vorgegebenen Anzahl auch eine vorgegebene Dämpfung der Polstellen bis zu einer bestimmten Ordnung n bewirken sollen, können sich auch Lösungen mit unterschiedlicher Schlitzlänge ergeben. Aus fertigungstechnischen Gründen sind allerdings vorgegebene, gleiche Schlitzlängen vorzuziehen. Die für die Optimierungsaufgabe zu verwendenden Parameter sind dann der Abstand der Schlitze, welcher minimal möglich ist, bzw. ihre Anzahl. Als anzustrebende Dämpfung der Polstellen kommt beispielsweise der Wert 25 db in Betracht, da dann keine störenden Interferenzen mehr auftreten. Um den Außenleiter mechanisch nicht mehr als nötig zu schwächen, kann es günstig sein, die Schlitze durch Querstege zu unterteilen.When multiplying several cosine functions under the secondary condition that they should also cause a predetermined damping of the pole positions up to a certain order n for a predetermined number, solutions with different slot lengths can also result. For manufacturing reasons, however, predetermined, identical slot lengths are preferable. The parameters to be used for the optimization task are then the spacing of the slots, which is the minimum possible, or their number. The desired attenuation of the pole points is, for example, the value 25 db, since then there are no more interfering interferences. In order not to weaken the outer conductor mechanically more than necessary, it can be advantageous to divide the slots by crossbars.

Das Verfahren zum Herstellen einer erfindungsgemäßen Anordnung wird anhand der Figur 3 näher erläutert. Sie zeigt ein schematisches Bild der Kabelherstellung. Das Leiterband 3 wird mittels mechanischer oder elektrischer Verfahren mit einer bestimmten Schlitzfolge versehen, die sich mit der Periodenlänge p wiederholt. Die Periodenlänge beträgt vorzugsweise 2,2 m. Das mit Schlitzen versehene Band, vorzugsweise ein Kupferband, durchläuft die beiden Walzen 5 gleichzeitig mit einem zugfesten Kunststoffband 6, welches durch Druck bzw. Hitze auf das Band 3 auflaminiert wird. Das Band 6 bedeckt die Schlitze derart, daß bei Zugbeanspruchung die Schlitze mechanisch gegen Aufweiten gesichert sind. Auch beim anschließenden Biegen des Laminates wird damit ein Zusammendrücken bzw. Aufweiten der Schlitze verhindert. Der Innenleiter 8 wird mit dem Dielektrikum 4 aus Isoliermaterial umgeben. Diese Anordnung wird von dem Laminat bzw. von dem Kupferband umhüllt, welches an der Nahtstelle durch eine Schweißvorrichtung 7 zu einem Rohr zusammengeschweißt wird. Durch Aufextrusion eines Mantels wird das Koaxialkabel fertiggestellt. Bei einer Variante dieses Verfahrens werden die Schlitze durch einen Kleber verschlossen. Der Kleber hat eine so kurze Aushärtungs- bzw. Abbindezeit, daß die Schlitze mechanisch gesichert sind bevor die weitere Verformung in der Weiterverarbeitung zum Kabel Schaden anrichten kann.The method for producing an arrangement according to the invention is explained in more detail with reference to FIG. 3. It shows a schematic picture of the cable production. The conductor strip 3 is provided with a certain slot sequence, which is repeated with the period length p, by means of mechanical or electrical methods. The period length is preferably 2.2 m. The slotted strip, preferably a copper strip, passes through the two rollers 5 simultaneously with a tensile plastic strip 6, which is laminated onto the strip 3 by pressure or heat. The band 6 covers the slots in such a way that the slots are mechanically secured against expansion when subjected to tensile stress. This also prevents the slots from being compressed or widened when the laminate is subsequently bent. The inner conductor 8 is surrounded by the dielectric 4 made of insulating material. This arrangement is enveloped by the laminate or by the copper strip, which is welded together at the interface by a welding device 7 to form a tube. The coaxial cable is finished by extruding a sheath. In a variant of this method, the slots are cut through sealed an adhesive. The adhesive has such a short hardening or setting time that the slots are mechanically secured before further deformation in the further processing to the cable can cause damage.

Die Schlitze können durch Funkenerosion hergestellt bzw. durch einen Laser in das Leiterband 3 geschnitten werden. Eine Alternative wäre die Herstellung der Schlitze durch rotierende Sägeblätter, welche mittels Abstandsstücken bereits den richtigen Schlitzabstand besitzen. Da sich diese Schlitze mit der Periodenlänge p wiederholen, ist es auf diese Weise möglich, mit einem Satz von Sägeblättern in einem Arbeitsgang die Schlitze für eine Periodenlänge herzustellen. Zur kontinuierlichen Herstellung ist das Kupferband 3 lediglich exakt um die Periodenlänge p zu verschieben bevor die nächste Gruppe von Schlitzen hergestellt wird.The slots can be produced by spark erosion or cut into the conductor strip 3 by a laser. An alternative would be to produce the slots using rotating saw blades, which already have the correct slot spacing by means of spacers. Since these slots repeat with the period length p, it is possible in this way to produce the slots for one period length in one operation with one set of saw blades. For continuous production, the copper strip 3 is only to be shifted exactly by the period length p before the next group of slots is produced.

Bei einer bevorzugten Herstellungsart wird das Muster der Schlitze als erhabene Stege auf dem Umfang einer Walze angebracht, deren Umfang der Periodenlänge der Schlitzanordnung entspricht. Die Walze wird ständig mit einem Antihaftmittel bestrichen, so daß die Stege diese Substanz auf ein Band auftragen können. Das Band besteht beispielsweise aus Polyester und wird nach dem Bedrucken mit Antihaftmittel, beispielsweise mit Graphitpulver beschichtet. Dabei bleiben die Schlitze frei. Anschließend wird das Band verkupfert. Das beschichtete Band wird anschließend zum Außenleiter eines Koaxialkabels geformt.In a preferred type of production, the pattern of the slots is applied as raised webs on the circumference of a roller, the circumference of which corresponds to the period length of the slot arrangement. The roller is constantly coated with a non-stick agent so that the webs can apply this substance to a belt. The tape is made of polyester, for example, and is coated with non-stick agent, for example graphite powder, after printing. The slots remain free. The strip is then copper-plated. The coated tape is then formed into the outer conductor of a coaxial cable.

Claims (20)

  1. Arrangement for transmitting high-frequency signals with a coaxial cable (2) which is provided with openings (1) in the outer conductor, the openings (1) being repeated, viewed in the longitudinal direction of the cable, in groups with a period length which is selected in such a way that the groups of opening radiate high-frequency signals starting from a desired lower cut-off frequency f₀, and that the pole points assigned to the multiples of the lower cut-off frequency f₀ are cancelled out, or at least strongly attenuated, in the frequency response of the coupling attenuation, characterized in that the number of openings per period is greater than 30, in that the openings are slots (1) which are as narrow as possible, and in that the slots (1) are essentially arranged perpendicular to the axis of the cable.
  2. Arrangement according to Claim 1, characterized in that the slot intervals are selected to be such that, in order to attenuate more than 15 pole points, they do not drop below a specific minimum interval which is at least twice as large as the width of the slot.
  3. Arrangement according to Claim 1 or 2, characterized in that an excitation function F is selected which, with a prescribed number of slots, has zero points at the largest possible number of pole points of the frequency response or in their vicinity and the function F is defined in that it produces an arrangement of slots during the transformation from the frequency domain into the space domain.
  4. Arrangement according to one of Claims 1 to 3, characterized in that the slots (1) are subdivided by webs which are arranged in the longitudinal direction of the slots.
  5. Arrangement according to one of Claims 1 to 4, characterized in that the slots (1) are of different lengths.
  6. Arrangement according to one of Claims 1 to 5, characterized in that the slot intervals (1) form a non-equidistant and non-periodic sequence within the period.
  7. Arrangement according to one of Claims 1 to 6, characterized in that the width of the slots is approximately one thousandth of the period length.
  8. Arrangement according to one of Claims 1 to 7, characterized in that, in order to attenuate the pole points, a function F is provided which is a product of a plurality of functions Fi in the frequency domain.
  9. Arrangement according to one of Claims 1 to 8, characterized in that the attenuation of pole points takes place up to approximately 15 times the lower cut-off frequency by functions Fi which are optimized according to amplitudes and/or frequencies.
  10. Arrangement according to one of Claims 1 to 9, characterized in that the optimization is selected in such a way that a prescribed attenuation of the pole points by at least 20 dB can be achieved with a smallest possible number of functions Fi.
  11. Arrangement according to one of Claims 1 to 10, characterized in that the function F is a product of cosine functions with different arguments.
  12. Method for producing a coaxial cable (2) according to Claim 1, with openings (1) which are arranged in the outer conductor and are repeated in groups with a period length, characterized in that in a conductor strip (3) the groups of openings (1) are produced cyclically in such a way that the number of openings per period is greater than 30, that the openings are slots (1) which are as narrow as possible and that the slots (1) are essentially arranged perpendicular to the axis of the cable and the conductor strip (3) is moved on after each cycle by the period length and is shaped to the cylindrical outer conductor of the coaxial cable.
  13. Method according to Claim 12, characterized in that the slots (1) are cut into the conductor strip (3) by a laser.
  14. Method according to Claim 12, characterized in that the slots (1) are produced for a period length by means of a set of synchronously rotating sawblades at fixed intervals.
  15. Method according to Claim 12, characterized in that the slots (1) are produced by punching.
  16. Method according to Claim 12, characterized in that the slots (1) are produced by photolithography and etching.
  17. Method according to Claim 12, characterized in that the slots (1) are produced by spark erosion.
  18. Method according to Claim 12, characterized in that the slots are produced by coating a plastic strip by at least one pattern of the slots for one period length being applied to the circumference of a pressure roller and the different surface properties of the pattern on the roller being used in such a way that, after the pressure roller rolls on the plastic strip, a conductive layer is applied to the plastic strip outside the periodically arranged slots.
  19. Method according to Claim 18, characterized in that after a first conductive layer is applied the said conductive layer is reinforced by electrical deposition of a metal layer which is a good conductor.
  20. Method according to one of Claims 12 to 17, characterized in that the conductor strip (3) which is provided with slots (1) is laminated with a tension-resistant plastic strip which covers the slots, and in that the edges of the conductor strip (3) are left free for the subsequent joining process.
EP89116628A 1988-12-30 1989-09-08 Apparatus for transmitting high-frequency signals Expired - Lifetime EP0375840B1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
DE3844292 1988-12-30
DE3844292A DE3844292A1 (en) 1988-12-30 1988-12-30 ARRANGEMENT FOR TRANSMITTING HIGH FREQUENCY SIGNALS

Publications (3)

Publication Number Publication Date
EP0375840A2 EP0375840A2 (en) 1990-07-04
EP0375840A3 EP0375840A3 (en) 1990-08-08
EP0375840B1 true EP0375840B1 (en) 1995-04-26

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EP89116628A Expired - Lifetime EP0375840B1 (en) 1988-12-30 1989-09-08 Apparatus for transmitting high-frequency signals

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EP (1) EP0375840B1 (en)
AT (1) ATE121870T1 (en)
DE (2) DE3844292A1 (en)
FI (1) FI94300C (en)
NO (1) NO173677C (en)
TR (1) TR24790A (en)
YU (1) YU47500B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP3200282A1 (en) 2016-01-29 2017-08-02 Alcatel-Lucent Shanghai Bell Leaky coaxial cable, computer program and method for determining slot positions on a leaky coaxial cable

Families Citing this family (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB2235336B (en) * 1989-06-23 1994-05-11 Hunting Eng Ltd Communication via leaky cables
DE4106890A1 (en) * 1991-03-05 1992-09-10 Rheydt Kabelwerk Ag RADIANT HIGH FREQUENCY CABLE
US5339058A (en) * 1992-10-22 1994-08-16 Trilogy Communications, Inc. Radiating coaxial cable
DE4331171A1 (en) * 1993-09-14 1995-03-16 Rheydt Kabelwerk Ag Radiating coaxial radio frequency cable
DE19503744C2 (en) * 1995-02-04 1998-05-14 Alcatel Kabel Ag Arrangement for the transmission, radiation and reception of high-frequency signals
FR3058838B1 (en) 2016-11-14 2020-02-14 Nexans RADIANT CABLE
EP4324418A1 (en) * 2022-08-18 2024-02-21 Endowave Ltd. A coaxial cable for a microwave ablation probe

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DE2230280A1 (en) * 1972-06-21 1974-01-17 Licentia Gmbh OPEN WAVE CONDUCTOR FOR BROADBAND RADIO SUPPLY
DE2523925B2 (en) * 1975-05-30 1977-12-15 The Furukawa Electric Co. Ltd. Tokio RADIANT UHF COAXIAL CABLE
US4325039A (en) * 1979-10-31 1982-04-13 Bicc Limited Leaky coaxial cable wherein aperture spacings decrease along the length of the cable
JPS58146104A (en) * 1982-02-25 1983-08-31 Sumitomo Electric Ind Ltd Manufacture of leakage coaxial cable

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP3200282A1 (en) 2016-01-29 2017-08-02 Alcatel-Lucent Shanghai Bell Leaky coaxial cable, computer program and method for determining slot positions on a leaky coaxial cable

Also Published As

Publication number Publication date
EP0375840A3 (en) 1990-08-08
YU223489A (en) 1994-04-05
FI94300C (en) 1995-08-10
NO173677B (en) 1993-10-04
NO895329L (en) 1990-07-02
YU47500B (en) 1995-10-03
EP0375840A2 (en) 1990-07-04
FI94300B (en) 1995-04-28
DE58909202D1 (en) 1995-06-01
NO895329D0 (en) 1989-12-29
FI895785A0 (en) 1989-12-04
NO173677C (en) 1994-01-12
DE3844292A1 (en) 1990-07-05
ATE121870T1 (en) 1995-05-15
TR24790A (en) 1992-03-10

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