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Erratum to: Light propagation in weakly guiding optical fibres. A Laplace-transform approach
Light propagation in weakly guiding optical fibres. A Laplace-transform approach
G. PAIAN 0
0 Dipartimento di Fisica, Universit~t di Bari - Bari, Italy I N F N , Sezione di Bari - Bari , Italy
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f ( r ) = l - s e c h
2_r = 1
Subsequent formulas m u s t accordingly be corrected. F r o m (6) onwards t h e y t a k e
the r i g h t form b y replacing V with 2V and V 2 with 4V 2. We note, in particular,
i) F o r m u l a (10) for the basic differential equation:
+ ( - W 2 + V 2 s e c h 2 R ) u = O.
(ii) The r e c u r r e n c e relation (29), useful in view of future work:
(iii) T h e r e s u l t (34) for cut-off frequencies:
cut-off f r e q u e n c y of the L P , I m o d e = (2v) 1/2
which modifies accordingly table I.
(iv) F o r m u l a s (35) and (36) for the eigenvalues W:
4 V 2 - W 2 ( W + 2)~ W 2 (W + 4)2 - 1,
W = 2 V - 2 = 2(V - 1)
W h e r e a s cut-off frequencies compare still less favourably with the exact numerical
values, the eigenvalue r e p r o d u c e s up to a factor two the r e s u l t of S n y d e r and S a m m u t
quoted in the p a p e r and has the same ,,validity t h r e s h o l d , at V = 1. (...truncated)