Everything about Sum Frequency Generation totally explained
Sum-frequency generation (
SFG) is an example of a second order
non-linear optical process.This phenomenon is based on the annihilation of two input photons at frequencies
and
while, simultaneously, one photon at frequency
is generated.
In order that the sum-frequency generation takes place it's necessary that the following two conditions happen:
1.
Energy conservation:
2.
Momentum conservation:
The first condition shows the relationship of the frequencies between the input and output photons. It is possible to notice that the sum-frequency generation is a generalization of
second harmonic generation. In the latter,
, both of which can be provided by a single light source.
The second condition implicates the k-vector conservation, in fact
; this condition is called
phase matching condition.
In a common SFG application, light from a tunable
infrared laser is combined with light from a fixed frequency visible laser to produce an invisible sum frequency (SF) beam created by a wave mixing process.
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