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4500PR09

# 4500PR09 - Reflection and Refraction at a Boundary 6 Light...

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Reflection and Refraction at a Boundary - 6 Light of freespace wavelength 435 . 8 nm is widely used in photolithography. This corresponds to the g line of a mercury discharge lamp. This light is incident in air upon a planar interface with BK-7 glass. Both TE and TM polarizations are present in the incident light wave. For the above BK-7/air interface, calculate, showing all work, the Brewster an- gle (if it exists) and the critical angle (if it exists). For these calculations, use 1 . 000 for the refractive index of air. Express angles (if they exist) in degrees accurately to within 0.0001 . If an angle does not exist, write “does not exist.” Put your final answers in the spaces provided. The incident light has an angle of incidence is 65 as measured counter-clockwise from the normal. For this case, for the reflected and transmitted propagating waves, cal- culate, showing all work, the quantities on the attached sheet. For these calculations, use 1 . 000 for the refractive index of air. Express angles in degrees accurately to within 0.0001 . Express fractions accurately to within 0.00001. Write your final answers in the spaces provided. Brewster angle (if it exists) = Critical angle (if it exists) =

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TE Polarized Transmitted Wave Angle of transmitted wavevector (with respect to normal to boundary) = Fraction of amplitude transmitted = Phase shift upon transmission = Fraction of power transmitted = TE Polarized Reflected Wave
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