Cuenca, Jerome A.

Porch, Adrian

Slocombe, Daniel R.

IEEE Transactions on Microwave Theory and Techniques

Online Research @ Cardiff

5078 IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 65, NO. 12, DECEMBER 2017Corrections to “Temperature Correction for Cylindrical CavityPerturbation Measurements”Jerome A. Cuenca , Daniel R. Slocombe, and Adrian PorchIN THE above paper [1], it has come to the attentionof the authors that a typographical error exists in (16)and (17). The error, while small in syntax, has a largeimpact on the understanding behind the explained technique.Reference [1, eq. (15)] states that by subtracting the fractionalfrequency shifts of the sample perturbed and the unperturbedcase, any resultant fractional frequency shift is caused by thetemperature dependent properties of the sample, if any. Now,the printed and erroneous [1, eq. (16)] should beε1(T ) ≈ −2[fs(T ) − f0(0)f0(0)]VcVsGmnp + 1. (1)We note that (16) incorrectly states that the unperturbedfrequency ( f0) is a function of temperature. This is incorrectsince all temperature dependence in the unperturbed state isalready addressed in [1, eq. (15)]. Additionally, the fractionalfrequency shift is normally taken with respect to the referenceunperturbed frequency f0 as opposed to fs ; however, sincethe relative difference in fs and f0 is small at gigahertzfrequencies, this is not a large issue. Reference [1, eq. (16)]Manuscript received July 20, 2017; revised July 31, 2017; acceptedAugust 7, 2017. Date of publication October 9, 2017; date of current versionDecember 12, 2017. The Ph.D. work of J. A. Cuenca was supported byMerck KGaA, Darmstadt, Germany, and the U.K. Engineering and PhysicalSciences Research Council under Grant EP/K502819/1. Information onthe presented data can be found in the Cardiff University datacatalogue at http://doi.org/10.17035/d.2017.0030964432. (Correspondingauthor: Jerome A. Cuenca.)The authors are with the School of Engineering, Cardiff University, CardiffCF24 3AA, U.K. (e-mail: cuencaj@cardiff.ac.uk; slocombed1@cardiff.ac.uk;porcha@cardiff.ac.uk).Digital Object Identifier 10.1109/TMTT.2017.2751550should be printed as (1), where fs(T ) = fs(0) × (1 +(( fs(T ))/( fs(0)))) is the temperature dependent frequencywhile the erroneous f0(T ) has been replaced with f0(0),the unperturbed frequency taken at a reference temperature.All temperature dependence is addressed in fs(T ) and ifthere was no temperature dependence, fs(T ) would be aconstant and the original cavity perturbation approximationwould apply. Similarly, [1, eq. (17)] should be printed asε2(T ) ≈[1Qs(T )− 1Q0(0)]VcVsGmnp (2)where (1/(Qs(T ))) = ((BWs(0))/( fs(T ))) × (1 +((BWs(T ))/(BWs(0)))) is the reciprocal of the tempera-ture dependent quality factor and Q0(T ) has been replacedwith Q0(0) which is the unperturbed quality factor at areference temperature.REFERENCES[1] J. A. Cuenca, D. R. Slocombe, and A. Porch, “Temperature correctionfor cylindrical cavity perturbation measurements,” IEEE Trans. Microw.Theory Techn., vol. 65, no. 6, pp. 2153–2161, Jun. 2017.This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/

Corrections to 'temperature correction for cylindrical cavity perturbation measurements'

Jerome A. Cuenca

Daniel R. Slocombe

Adrian Porch

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Corrections to “Temperature Correction for Cylindrical Cavity Perturbation Measurements” [Jun 17 2153-2161]

http://orca.cf.ac.uk/107770/1/08063376.pdf

Corrections to 'temperature correction for cylindrical cavity perturbation measurements'

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