William Angerer - Department of Physics and Astronomy - University ...

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Solution of the homogeneous wave equation determines k 11 as
(2.43)
~ote, we use the same notation for this calculation as we did for the monochromatic
case; nonlinear fields reflected off of the front surface of the quartz are subscripted
with 0, nonlinear fields in the quartz are subscripted with 1, and nonlinear fields
transmitted through the quartz are subscripted with 2.
The model for SHG generated by an ultrafast fundamental source and transmitted
through a quartz slab is the same for the SHG generated by a monochromatic source.
The fundamental field is transmitted through the quartz slab without reflection. This
field generates a bound wave, Eb(r,w), and free wave, E/l(r,w'), that propagate
through the crystal and a free wave that is reflected off of the front surface of the
quartz. E/o(r,w). A free wave, ElrI(r,w), is also reflected from the second quartz/air
interface. The reflected waves have functional forms similar to E /1 (r, w) except they
propagate in the opposite direction, i.e.
(2.44)
and
(2.45 )
The transmitted free wave is denoted E /2 (r, w). See Fig. 2.2 for a schematic of the
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