Theoretical Studies of Plasmonic Effects in Organic Solar Cells - Organic Solar Cells: Materials and Device Physics - page 198

Fig. 7.9 The schematic pattern of a heterojunction OSC. A hybrid plasmonic system, which
comprises a plasmonic cavity coupled with a dielectric core-metal shell nanosphere, is employed
for improving the optical absorption of the active polymer material. A transparent spacer is
inserted to avoid local shunt and extract carriers. The structural parameters are t 1 ¼ 20 nm,
t 2 ¼ 60 nm, w 1 ¼ 30 nm, w 2 ¼ 90 nm, and d ¼ 21 nm. The radius of the core layer (denoted by
the yellow arrow) and that of the shell layer (denoted by the blue arrow) are set to r 1 ¼ 7 : 5nm
and r 2 ¼ 15 nm, respectively. For a bonding coupling mode in the hybrid system, the polarity of
its polarization charge is also marked. 2011 OSA; Ref. [ 33 ]

and

p

e i þ 1 l i

m ð K i r i Þ

p

H ð 1 m ð K i þ 1 r i Þ H ð 1 Þ 0 H ð 1 Þ 0

m ð K i þ 1 r i Þ H ð 1 m ð K i r i Þ

e i l i þ 1

R TM

i ; i þ 1 ¼

ð 7 : 43 Þ

p

e i l i þ 1

m ð K i þ 1 r i Þ

p

J m ð K i r i Þ H ð 1 Þ 0

H ð 1 m ð K i þ 1 r i Þ J 0 m ð K i r i Þ

e i þ 1 l i

p

l i þ 1 = e i i 0 e i þ 1

T TM

i ; i þ 1 ¼

ð 7 : 44 Þ

p

e i l i þ 1

m ð K i þ 1 r i Þ

p

J m ð K i r i Þ H ð 1 Þ 0 H ð 1 m ð K i þ 1 r i Þ J 0 m ð K i r i Þ

e i þ 1 l i

p

e i l i 1

J m ð K i r i 1 Þ J 0 m ð K i 1 r i 1 Þ

p

J 0 m ð K i r i 1 Þ J m ð K i 1 r i 1 Þ

e i 1 l i

R TM

i ; i 1 ¼

p

e i 1 l i

m ð K i r i 1 Þ

p

J m ð K i 1 r i 1 Þ H ð 1 Þ 0 H ð 1 m ð K i r i 1 Þ J 0 m ð K i 1 r i 1 Þ

ð 7 : 45 Þ

e i l i 1

p

l i 1 = e i

i 0 e i 1

T TM

i ; i 1 ¼

p

e i 1 l i

m ð K i r i 1 Þ

p

J m ð K i 1 r i 1 Þ H ð 1 Þ 0 H ð 1 m ð K i r i 1 Þ J 0 m ð K i 1 r i 1 Þ

ð 7 : 46 Þ

e i l i 1

where r i , e i , l i , and K i are the radius, permittivity, permeability, and wave number
of the ith spherical layer, respectively. Figure 7.10 b, c shows the spectral
enhancement factors (defined in Sect. 7.3.4 ) and the SCS of the nanospheres,