Non-resonant SHG with depleted pump in the parallel-beam limit
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.2.3,
p.
[ doi:10.1107/97809553602060000906 ]
formulae (
1.7.3.58) and (
1.7.3.60) by expressing the intensity and electric field modulus as a function of the power, which is given by (
1.7.3.38) with .
For a Gaussian incident fundamental beam, (
1.7.3.37), the fundamental ...
Sum-frequency generation (SFG)
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.4,
p.
[ doi:10.1107/97809553602060000906 ]
|
The resolution of system (
1.7.3.22) with,, and, followed by integration over, leads to with in the same units as equation (
1.7.3.70) .
1.7.3.3.4.2. SFG () with undepletion at
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Resonant SHG
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.2.4,
p.
[ doi:10.1107/97809553602060000906 ]
to (
1.7.3.62), (
1.7.3.65) and (
1.7.3.66) gives (Perkins & Fahlen, 1987) and (
1.7.3.69) shows that for the case where (), the maximum SH power is identically equal to the maximum fundamental power, (
1.7.3.64), available ...
DFG () with undepletion at and
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.5.1,
p.
[ doi:10.1107/97809553602060000906 ]
(
1.7.3.82) and (
1.7.3.83), by replacing ω 1 by ω s, ω 2 by ω p and ω 3 by ω i . A schematic device is given in Fig.
1.7.3.17 by replacing (ω 1, ω 2, ω 3) by (ω 1, ω 3, ω 2) or (ω 2, ω 3, ω 1 ...
SFG () with undepletion at
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.4.2,
p.
[ doi:10.1107/97809553602060000906 ]
m is an integer, which allows a maximum power gain for the idler. A nonlinear crystal with length is sufficient for an optimized device.
For a small conversion efficiency, i.e. Γ L weak, (
1.7.3.85) and (
1.7.3.86) become ...
Crystalline linear optical properties
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.1,
p.
[ doi:10.1107/97809553602060000906 ]
by (
1.7.3.11) and (
1.7.3.12) with . The ordinary walk-off is nil and the extraordinary one is given by (
1.7.3.13) with and .
(3) In the xz plane, the optic axes create a discontinuity of the shape of the internal and external ...
Effective coefficient and field tensor
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.2.4,
p.
[ doi:10.1107/97809553602060000906 ]
impose the direction of the unit electric field vectors of the interacting waves according to (
1.7.3.9) . The effective coefficient, given by (
1.7.3.23) and (
1.7.3.25), depends in part on the linear optical properties via the field tensor ...
Coupled electric fields amplitudes equations
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.2.1,
p.
[ doi:10.1107/97809553602060000906 ]
The complex conjugates come from the relation .
We consider the plane wave, (
1.7.3.3), as a solution of (
1.7.3.19), and we assume that all the interacting waves propagate in the same direction Z . Each linearly polarized plane wave ...
Definitions and symmetry properties
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.2.4.1,
p.
[ doi:10.1107/97809553602060000906 ]
according to (
1.7.3.9) . The effective coefficient, given by (
1.7.3.23) and (
1.7.3.25), depends in part on the linear optical properties via the field tensor, which is the tensor product of the interacting unit electric field vectors ...
SFG () with undepletion at and
Boulanger, B. and
Zyss, J.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.7.3.3.4.1,
p.
[ doi:10.1107/97809553602060000906 ]
optical properties
The resolution of system (
1.7.3.22) with,, and, followed by integration over, leads to with in the same units as equation (
1.7.3.70) .
References ...
