Parameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by a medium of refractive index n₂ = 1.4. (a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and the maximum acceptance angle for light originating in air (n = 1). (b) Determine the number of TE modes. (c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.

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Parameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is
guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by
a medium of refractive index n₂ = 1.4.
(a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and
the maximum acceptance angle for light originating in air (n = 1).
(b) Determine the number of TE modes.
(c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.
Transcribed Image Text:Parameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by a medium of refractive index n₂ = 1.4. (a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and the maximum acceptance angle for light originating in air (n = 1). (b) Determine the number of TE modes. (c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.
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