erratum to: quantum well intermixed waveguide grating
TRANSCRIPT
Opt Quant Electron (2012) 44:373DOI 10.1007/s11082-012-9547-2
ERRATUM
Erratum to: Quantum well intermixed waveguide grating
Ramesh K. Sonkar · Utpal Das
Published online: 28 January 2012© Springer Science+Business Media, LLC. 2012
Erratum to: Opt Quant Electron (2011) 42:631–643DOI 10.1007/s11082-011-9486-3
The authors would like to correct the incorrect text and equations in the original publicationof the article.
Paragraph 1 in the published article (in page 637) should read as “Band to band transi-tion as well as excitonic effects was taken into consideration while calculating the dielectricconstants.”
The correct version of the Eqs. 12 and 13 is given in detail below
εQW2 (ω) = C
ω2
∑
mn
[mhh
∣∣∣Ohmn
∣∣∣2�
(h̄ω − Ehh
mn
)+ mlh
3
∣∣∣Olmn
∣∣∣2�
(h̄ω − Elh
imn
)](12)
where Ohmn and Ol
mn are the overlap integrals of mth conduction band eigen function andnth VB eigen function for HH and LH, respectively. With C = πe2 P2
CV /h̄2m0Wε0. where,P2
CV = (2/m0)〈s|px |x〉2 is a parameter related to the squared matrix element. mhh and mlh
are the reduced electron-heavy hole and electron-light hole masses respectively.
ε1 (ω) = 1 + εb + C
πω2
∑
mn
[mhh
∣∣∣Ohmn
∣∣∣2
ln
∣∣∣∣∣
(Ehh
mn
)2
(Ehh
mn
)2 − (h̄ω)2
∣∣∣∣∣
+mlh
3
∣∣∣Olmn
∣∣∣2
ln
∣∣∣∣∣
(Elh
mn
)2
(Elh
mn
)2 − (h̄ω)2
∣∣∣∣∣
](13)
The online version of the original article can be found under doi:10.1007/s11082-011-9486-3.
R. K. Sonkar (B) · U. DasDepartment of Electrical Engineering, Indian Institute of Technology, Kanpur, Indiae-mail: [email protected]
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