1、BSI Standards PublicationCylindrical cavity method to measure the complex permittivity of low-loss dielectric rodsBS EN 62810:2015National forewordThis British Standard is the UK implementation of EN 62810:2015. It is identical to IEC 62810:2015.The UK participation in its preparation was entrusted
2、to TechnicalCommittee EPL/46, Cables, wires and waveguides, radio frequency connectors and accessories for communication and signalling.A list of organizations represented on this committee can be obtained onrequest to its secretary.This publication does not purport to include all the necessary prov
3、isions ofa contract. Users are responsible for its correct application. The British Standards Institution 2015.Published by BSI Standards Limited 2015ISBN 978 0 580 82677 1ICS 33.120.30Compliance with a British Standard cannot confer immunity fromlegal obligations.This British Standard was published
4、 under the authority of theStandards Policy and Strategy Committee on 30 June 2015.Amendments/corrigenda issued since publicationDate Text affectedBRITISH STANDARDBS EN 62810:2015EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN 62810 May 2015 ICS 33.120.30 English Version Cylindrical cavity meth
5、od to measure the complex permittivity of low-loss dielectric rods (IEC 62810:2015) Mesure de la permitivit complexe des barreaux dilectriques faibles pertes par la mthode de la cavit cylindrique (IEC 62810:2015) Zylindrisches Hohlraumverfahren zur Messung der komplexen Permittivitt von verlustarmen
6、 dielektrischen Stben (IEC 62810:2015) This European Standard was approved by CENELEC on 2015-03-24. CENELEC members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration
7、. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CENELEC member. This European Standard exists in three official versions (English, French, German). A version in any other language made
8、by translation under the responsibility of a CENELEC member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CENELEC members are the national electrotechnical committees of Austria, Belgium, Bulgaria, Croatia, Cyprus, the Czech Rep
9、ublic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom.
10、 European Committee for Electrotechnical Standardization Comit Europen de Normalisation Electrotechnique Europisches Komitee fr Elektrotechnische Normung CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2015 CENELEC All rights of exploitation in any form and by any means reserved wor
11、ldwide for CENELEC Members. Ref. No. EN 62810:2015 E BS EN 62810:2015EN 62810:2015 - 2 - Foreword The text of document 46F/242/CDV, future edition 1 of IEC 62810, prepared by SC 46F, “R.F. and microwave passive components“, of IEC TC 46, “Cables, wires, waveguides, R.F. connectors, R.F. and microwav
12、e passive components and accessories“ was submitted to the IEC-CENELEC parallel vote and approved by CENELEC as EN 62810:2015. The following dates are fixed: latest date by which the document has to be implemented at national level by publication of an identical national standard or by endorsement (
13、dop) 2015-12-24 latest date by which the national standards conflicting with the document have to be withdrawn (dow) 2018-03-24 Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CENELEC and/or CEN shall not be held responsible for i
14、dentifying any or all such patent rights. Endorsement notice The text of the International Standard IEC 62810:2015 was approved by CENELEC as a European Standard without any modification. In the official version, for Bibliography, the following note has to be added for the standard indicated: IEC 60
15、556 NOTE Harmonised as EN 60556. BS EN 62810:2015 2 IEC 62810:2015 IEC 2015 CONTENTS FOREWORD . 3 1 Scope 5 2 Normative references 5 3 Measurement parameters 5 4 Theory and calculation equations 5 5 Measurement system . 12 6 Measurement procedure 14 6.1 Preparation of measurement apparatus. 14 6.2 M
16、easurement of reference level 14 6.3 Measurement of cavity parameters: r14 6.4 Measurement of complex permittivity of test sample: , tan d 15 Annex A (informative) Example of measurement results and accuracy . 16 A.1 Measurement of and tand values . 16 A.2 Measurement uncertainty of and tand 17 Bibl
17、iography 19 Figure 1 Structure of a cylindrical cavity resonator . 6 Figure 2 Correction factor C1for . 7 Figure 3 Correction factor C2for tand with the different values of d19 Figure 4 Schematic diagram of measurement systems . 13 Figure 5 Resonance frequency f0, insertion attenuation IA0and half-p
18、ower band width fBW. 14 Figure 6 Frequency responses of the TM010mode of cylindrical cavity . 15 Table 1 Numerical values of correction factor C1. 8 Table 2 Numerical values of correction factor C2. 10 Table 3 Numerical values of correction factor C2. 11 Table A.1 The parameters of the cavity and th
19、e rod sample . 16 Table A.2 The resonant frequencies and unloaded Q-factors . 16 Table A.3 The approximate values and the relative conductivity value . 16 Table A.4 Correction factors and the measurement results 16 Table A.5 The measurement uncertainty of . 17 Table A.6 The measurement uncertainty o
20、f tand 18 BS EN 62810:2015IEC 62810:2015 IEC 2015 3 INTERNATIONAL ELECTROTECHNICAL COMMISSION _ CYLINDRICAL CAVITY METHOD TO MEASURE THE COMPLEX PERMITTIVITY OF LOW-LOSS DIELECTRIC RODS FOREWORD 1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization co
21、mprising all national electrotechnical committees (IEC National Committees). The object of IEC is to promote international co-operation on all questions concerning standardization in the electrical and electronic fields. To this end and in addition to other activities, IEC publishes International St
22、andards, Technical Specifications, Technical Reports, Publicly Available Specifications (PAS) and Guides (hereafter referred to as “IEC Publication(s)”). Their preparation is entrusted to technical committees; any IEC National Committee interested in the subject dealt with may participate in this pr
23、eparatory work. International, governmental and non-governmental organizations liaising with the IEC also participate in this preparation. IEC collaborates closely with the International Organization for Standardization (ISO) in accordance with conditions determined by agreement between the two orga
24、nizations. 2) The formal decisions or agreements of IEC on technical matters express, as nearly as possible, an international consensus of opinion on the relevant subjects since each technical committee has representation from all interested IEC National Committees. 3) IEC Publications have the form
25、 of recommendations for international use and are accepted by IEC National Committees in that sense. While all reasonable efforts are made to ensure that the technical content of IEC Publications is accurate, IEC cannot be held responsible for the way in which they are used or for any misinterpretat
26、ion by any end user. 4) In order to promote international uniformity, IEC National Committees undertake to apply IEC Publications transparently to the maximum extent possible in their national and regional publications. Any divergence between any IEC Publication and the corresponding national or reg
27、ional publication shall be clearly indicated in the latter. 5) IEC itself does not provide any attestation of conformity. Independent certification bodies provide conformity assessment services and, in some areas, access to IEC marks of conformity. IEC is not responsible for any services carried out
28、 by independent certification bodies. 6) All users should ensure that they have the latest edition of this publication. 7) No liability shall attach to IEC or its directors, employees, servants or agents including individual experts and members of its technical committees and IEC National Committees
29、 for any personal injury, property damage or other damage of any nature whatsoever, whether direct or indirect, or for costs (including legal fees) and expenses arising out of the publication, use of, or reliance upon, this IEC Publication or any other IEC Publications. 8) Attention is drawn to the
30、Normative references cited in this publication. Use of the referenced publications is indispensable for the correct application of this publication. 9) Attention is drawn to the possibility that some of the elements of this IEC Publication may be the subject of patent rights. IEC shall not be held r
31、esponsible for identifying any or all such patent rights. International Standard IEC 62810 has been prepared by subcommittee 46F: R.F. and microwave passive components, of IEC technical committee 46: Cables, wires, waveguides, R.F. connectors, R.F. and microwave passive components and accessories. T
32、he text of this standard is based on the following documents: CDV Report on voting 46F/242/CDV 46F/260/RVC Full information on the voting for the approval of this standard can be found in the report on voting indicated in the above table. This publication has been drafted in accordance with the ISO/
33、IEC Directives, Part 2. The committee has decided that the contents of this publication will remain unchanged until the stability date indicated on the IEC website under “http:/webstore.iec.ch“ in the data related to the specific publication. At this date, the publication will be BS EN 62810:2015 4
34、IEC 62810:2015 IEC 2015 reconfirmed, withdrawn, replaced by a revised edition, or amended. A bilingual version of this publication may be issued at a later date. IMPORTANT The colour inside logo on the cover page of this publication indicates that it contains colours which are considered to be usefu
35、l for the correct understanding of its contents. Users should therefore print this document using a colour printer. BS EN 62810:2015IEC 62810:2015 IEC 2015 5 CYLINDRICAL CAVITY METHOD TO MEASURE THE COMPLEX PERMITTIVITY OF LOW-LOSS DIELECTRIC RODS 1 Scope This International Standard relates to a mea
36、surement method for complex permittivity of a dielectric rod at microwave frequency. This method has been developed to evaluate the dielectric properties of low-loss materials in coaxial cables and electronic devices used in microwave systems. It uses the TM010mode in a circular cylindrical cavity a
37、nd presents accurate measurement results of a dielectric rod sample, where the effect of sample insertion holes is taken into account accurately on the basis of the rigorous electromagnetic analysis. In comparison with the conventional method described in IEC 60556 21, this method has the following
38、characteristics: the values of the relative permittivity and loss tangent tand of a dielectric rod sample can be measured accurately and non-destructively; the measurement accuracy is within 1,0 % for and within 20 % for tand; the effect of sample insertion holes is corrected using correction charts
39、 presented; this method is applicable for the measurements on the following condition: frequency: 1 GHz f 10 GHz; relative permittivity: 1 100; loss tangent: 104tand 101. 2 Normative references Void. 3 Measurement parameters The measurement parameters are defined as follows: r= -j“ (1) tand = “/ (2)
40、 where and “ are the real and imaginary parts of the complex relative permittivity r. 4 Theory and calculation equations A resonator structure used in these measurements is shown in Figure 1. A cavity, made with copper, with diameter D and height H has sample insertion holes with diameter d2and dept
41、h g oriented coaxially. A dielectric rod sample of diameter d1having and tand is inserted into the holes. 1Figures in square brackets refer to the Bibliography. BS EN 62810:2015 6 IEC 62810:2015 IEC 2015 The TM010mode, where the electric field component in the cavity is parallel to the sample rod, i
42、s used for the measurement. Taking account of the effect of sample insertion holes calculated on the basis of the rigorous electromagnetic field analysis, and tand are determined from the measured values of the resonant frequency f0and the unloaded Q-factor Qu. To avoid the tedious numerical calcula
43、tion and make the measurements easy, the following process is taken in this measurement: Figure 1 Structure of a cylindrical cavity resonator The following steps shall be taken: 1) At the first step, obtain approximate values pand tandpfrom the f0and Quvalues by using the simple perturbation formula
44、s, where the effect of sample insertion holes is neglected. The subscript p denotes the calculated values using the following perturbation formulas: 1121110p+=dDfff (3) =u0u121pp1121tanQQdDd (4) where 855,112011= )( xJ . )( xJnis the Bessel function of order n of first kind and 405,201=x is the firs
45、t root of 00=)( xJ . f0and Qu0are the resonant frequency and unloaded Q-factor measured for the cavity without a sample, respectively. f1and Qu1are ones measured for the cavity with a sample. 2) In the second step, obtain accurate values and tand from pand tandpvalues by using the following equation
46、s with correction factors calculated based on the rigorous analysis: p1 C= (5) p2tantan dd C= (6) IEC Dielectric rod (sample) Sample insertion hole Cylindrical cavity Coaxial cable with small loop d2d1D gHgBS EN 62810:2015IEC 62810:2015 IEC 2015 7 where correction factors C1and C2, due to the sample
47、 insertion holes and errors included in the perturbation formulas, are calculated numerically by using the Ritz-Galerkin method 35, as shown in Figure 2 and Figure 3, and the corresponding data are listed in detail in Table 1, 2, and 3. The missing data of C1and C2can be obtained by interpolation or
48、 extrapolation from the tables. The correction factors shown in these figures are calculated for the cavity with D = 76,5 mm, H = 20,0 mm, d2= 3,0 mm, and g = 10,0 mm, where the resonant frequency is about 3 GHz. C1is also used for a cavity having the same aspect ratios as H/D, d2/D and g/D. It is f
49、ound from the analysis for a cavity with insertion holes which constitute a cut-off TM01mode cylindrical waveguide that f0converges to a constant value for g10 mm and d2= 3 mm. Therefore, the correction factors shown in Figure 2 and Figure 3 are applicable to a dielectric sample rod with d110 mm and d2= 3 mm. Therefore, the correction factors shown in Figure 2
