Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures Page: 47
View a full description of this dissertation.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
) = M9,M ...Mo (o V
(4.3.15)
Of which the component v12,2 B0 = 0 provides us with the dispersion relation.
Since B0 = 0 would result in a trivial solution the modes must be described by 1vM2,2=0.
As this equation for the dispersion relation has no analytical solutions, so the solutions
were found using numerical methods. Figure 4.3 shows the calculated solutions using
the parameters presented in Table 4.2.
Table 4.2 Material parameters used to calculate the phonon dispersion relation. InN and
GaN values from Ref. [52], InGaN values calculated using Vegard's Law.A1[LO] (meV)
E1[LO] (meV)
A1[TO] (meV)
E1[TO] (meV)
(oo)
6zGaN
91.02
91.88
65.94
69.29
9.2
5.32InN
72.65
73.52
55.42
59.02
15.3
8.4Ino.2Gao.8N
87.33
88.20
63.83
67.23
10.42
5.964.3.3 Aj,B - The Interface Constants
The step in calculating S is obtaining the interface constants used in the transfer
matrices in Eqs. 4.3.14 and 4.3.15. Per Ref. [40], the constants in Eq. 4.3.14 may all be
rewritten in terms of one constant, Bo as such:47
--------------- =
Upcoming Pages
Here’s what’s next.
Search Inside
This dissertation can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Dissertation.
Llopis, Antonio. Electrostatic Mechanism of Emission Enhancement in Hybrid Metal-semiconductor Light-emitting Heterostructures, dissertation, May 2012; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc115113/m1/57/: accessed April 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .