erratum: microwave hyperthermia for cancer therapy

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The eigenfunctions i/^ n) are similar to the set B v (p s p) defined by Tranter [28]. The chief difference is that the i/^"' are true cylinder functions with all their desirable fea- tures, whereas the B v are not (composed of Bessel func- tions, but coefficients depend on order v [23]). A virtue of the B v is their orthogonality for all v, whereas the i/4 n) are orthogonal only for n = 0, 1 and 2. The latter is sufficient for the coaxial symmetry treated here. Further, the il/ { " ] may readily be generalised. For example, consider the familiar coaxial-cavity resonance condition with roots p sN [23], which generalises eqn. 11 to orders N > 1. We define the eigenfunction set that correspond- ingly extends eqn. 13: <M n|N) = {J n (p sN P)Y N (P SN a) - Y n (p sN pVuiPsna)}/N sN (35) J N ipp)Y N {pa) - a) = 0 (34) These are cylinder functions re the order n, and one verifies exactly the same properties as eqns. 24-29 with three minor changes: the added index N; J t -*• J N in eqn. 25 and eqn. 28; and orthogonality eqn. 29 now for n = N - 1, N, N + 1. Note that, while the ^ n) used in this paper correspond to the special case N = 1, the B v (p s p) correspond to the degenerate case i^ v|v) . Errata CHEUNG, A.Y.: 'Microwave hyperthermia for cancer therapy', IEE Proc. A, 1987,134, (6), pp. 493-522 The authors wish to delete the previous acknowl- edgement to Ms. Jenan Al-Atrash as she is, in fact, the coauthor. However, both authors would like to acknowl- edge the assistance of Mr. Ali Neyzari. 5807A ALLEN, N.L.: 'Corona, breakdown and humidity in the rod-plane gap', IEE Proc. A, 1986, 133, (8), pp. 562-568 The author is grateful to Mr. Robert Lanoie of the Insti- tut de Recherche d'Hydro-Quebec, Varennes, Canada JOL 2P0, for drawing attention to some errors in the above paper. These relate to the definition and use of the terms 'humidity correction factor' and 'humidity coeffi- cient'. Discussion with Mr. Lanoie suggests that proper consistency is obtained by making the following changes: (a) Eqn. 1 becomes: 100 (1) with the following change three lines later '. . . IEC[4], and K h is the humidity correction factor and e the humid- ity correction coefficient (per cent per g/m 3 ).' (b) In Fig. 1, the ordinate is K h only and is dimension- less. (c) Following the change made in eqn. 1, K h becomes e in Figs. 2, 3 and 4. (d) The equations after eqn. 2 should read , h- K td 100 and K h ~ { 1 - h-h std 100 (3) With these changes, greater precision of definition and of consistency with the IEC document are achieved. 5819A IEE PROCEEDINGS, Vol. 134, Pt. A, No. 10, DECEMBER 1987 767

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The eigenfunctions i/̂ n) are similar to the set Bv(psp)defined by Tranter [28]. The chief difference is that thei/̂ "' are true cylinder functions with all their desirable fea-tures, whereas the Bv are not (composed of Bessel func-tions, but coefficients depend on order v [23]). A virtue ofthe Bv is their orthogonality for all v, whereas the i/4n) areorthogonal only for n = 0, 1 and 2. The latter is sufficientfor the coaxial symmetry treated here. Further, the il/{"]

may readily be generalised. For example, consider thefamiliar coaxial-cavity resonance condition

with roots psN [23], which generalises eqn. 11 to ordersN > 1. We define the eigenfunction set that correspond-ingly extends eqn. 13:

<Mn|N) = {Jn(psNP)YN(PSNa) - Yn(psNpVuiPsna)}/NsN (35)

JNipp)YN{pa) - a) = 0 (34)

These are cylinder functions re the order n, and oneverifies exactly the same properties as eqns. 24-29 withthree minor changes: the added index N; Jt -*• JN in eqn.25 and eqn. 28; and orthogonality eqn. 29 now forn = N - 1, N, N + 1. Note that, while the ^ n ) used inthis paper correspond to the special case N = 1, theBv(psp) correspond to the degenerate case i^v|v).

ErrataCHEUNG, A.Y.: 'Microwave hyperthermia for cancertherapy', IEE Proc. A, 1987,134, (6), pp. 493-522

The authors wish to delete the previous acknowl-edgement to Ms. Jenan Al-Atrash as she is, in fact, thecoauthor. However, both authors would like to acknowl-edge the assistance of Mr. Ali Neyzari.

5807A

ALLEN, N.L.: 'Corona, breakdown and humidity in therod-plane gap', IEE Proc. A, 1986,133, (8), pp. 562-568

The author is grateful to Mr. Robert Lanoie of the Insti-tut de Recherche d'Hydro-Quebec, Varennes, CanadaJOL 2P0, for drawing attention to some errors in theabove paper. These relate to the definition and use of theterms 'humidity correction factor' and 'humidity coeffi-cient'. Discussion with Mr. Lanoie suggests that properconsistency is obtained by making the following changes:

(a) Eqn. 1 becomes:

100(1)

with the following change three lines later '. . . IEC[4],and Kh is the humidity correction factor and e the humid-ity correction coefficient (per cent per g/m3).'

(b) In Fig. 1, the ordinate is Kh only and is dimension-less.

(c) Following the change made in eqn. 1, Kh becomes ein Figs. 2, 3 and 4.

(d) The equations after eqn. 2 should read

„ , h - Ktd

100

and Kh ~ { 1 -h-h std

100(3)

With these changes, greater precision of definition and ofconsistency with the IEC document are achieved.

5819A

IEE PROCEEDINGS, Vol. 134, Pt. A, No. 10, DECEMBER 1987 767