Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001apj...560..534l&link_type=abstract
The Astrophysical Journal, Volume 560, Issue 1, pp. 534-534.
Astronomy and Astrophysics
Astrophysics
2
Scientific paper
In the paper ``He I 10830 Å Line Polarimetry: A New Tool to Probe the Filament Magnetic Fields'' by Haosheng Lin, Matt J. Penn, and Jeffrey R. Kuhn (ApJ, 493, 978 [1998]), several mathematical and typographical errors escaped the authors' attention. These are mostly errors in the scaling factor of the expressions, however, and they did not affect the results of the paper. 1. There was an error in the scaling factor in the right-hand side of equation (4). The correct expression for equation (4) should be ES(r,ω,t)=-e(ω/c)2 (e-i(ωt-k˙r))/r × r×x(ω) . This error propagated into the paper and affected several equations derived later on. First, the correct expression for equation (33) (and eq. [A24]) should be N(ω)~((ω0)/2m)(e/c)21)/ (ω0-ω)+iΓ/2) Accordingly, the correction expressions for equations (34), (35), and (36) are NN*=1/4((ω0)/m)2(e/c)4 1/(ω0-ω)2+(Γ/2)2), Re(iNN*)=1/4((ω0)/m)2 ((e/c)4Γ/2)/[(ω0-ω)2+ (Γ/2)2]2, Im(iNN*)=1/4((ω0)/m)2 (e/c)4(ω0-ω)/[(ω0- ω)2+(Γ/2)2]2 Similarly, this correction should be applied to the coefficient of equations (A25), (A26), and (A37). That is, the factor (eω0/2m)2 in equations (A25), (A25), and (A37) should be replaced by (1/4)(ω0/m)2(e/c)4. Finally, the correct expressions for the Doppler-broadened profiles h(a,v), k(a,v), and f(a,v) in equations (39), (40), and (41) should be h(a,v)=3/8(sqrt(π)e2)/mc 1/(▵ωD) a/πΣ-∞∞ (e-y^2dy)((v-y)2+a2) = 3/8(sqrt(π)e2)/mc 1/(▵ωD) H(a,v), k(a,v)=3/4(sqrt(π)e2)/mc 1/(▵ω2D) (a2)/πΣ-∞∞ (e-y^2dy)([(v-y)2+a2]2), f(a,v)=3/4(sqrt(π)e2)/mc 1/(▵ω2D) πΣ-∞∞ ((v-y)e-y^2dy)([(v-y)2+a2]2. 2. The h2 factor in equations (17), (22), and (23) should be removed. 3. The sentence after equation (7) should read ``The oscillator solution can be written as X(ω)=e-1(ω/c)-2NEI.''
Kuhn Jeffrey R.
Lin Haosheng
Penn Matt J.
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