The document discusses the calculation of transmittance and reflectance of light at normal and oblique incidence on thin glass slabs and multilayer structures. It shows analytical and simulation results for the reflectance and transmittance of a 5 micron glass slab at normal incidence. Additionally, it demonstrates simulations of oblique incidence of TE and TM polarized light at angles of 30 and 60 degrees onto a glass substrate.

1. Calculation of Transmittance &
Reflectance
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2. Normal Incidence
��0
glass 5 microns
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3. PML
air
glass
air
PML
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4. Normal Incident of Light on a 5um Glass Slab (n=1.5)
1.6E-01
1.4E-01
1.2E-01
Reflectance
1.0E-01
Exact solution
8.0E-02
Comsol calculations
6.0E-02
4.0E-02
2.0E-02
0.0E+00
600 650 700 750 800 850 900
wavelength (nm)
Normal Incident of Light on a 5um Glass Slab (n=1.5)
1.02E+00
1.00E+00
9.80E-01
Transmittance
9.60E-01
9.40E-01 Exact solution
9.20E-01 Comsol calculations
9.00E-01
8.80E-01
8.60E-01
8.40E-01
600 650 700 750 800 850 900
wavelength (nm)
Analytical solution: Eq. (22-42) on Page 461 of Pedrotti, F. L. and Pedrotti, L. S., "Introduction to Optics,"
Prentice-Hall, Inc., 1987.
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5. Animation of propagation patterns for light of wavelength
from 700 to 800 nm: Video at the right.
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6. Oblique Incidence
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glass
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7. 850nm TE wave incident on glass (n=1.5)
� �0 � � 30
air air
glass glass
� � 60
air
glass
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8. 850nm TM wave incident on glass (n=1.5)
PML
� �0 � � 30
air air
PML glass glass
� � 60
air
Brewster’s angle
glass
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