Ring critical power
There is no formula describing the value of the critical power of self-focusing of an annular beam without in phase singularity in units of Gaussian critical power. This module is designed to obtain the dependence of the specified power on the degree of the polynomial with the exponent M in the ring distribution of the beam.
For the selected degrees M, self-focusing is simulated with different exceedances of the critical power over Gaussian, which change with some small step. The dependences of the peak intensity on the track are obtained. The minimum power at which the peak intensity during the calculation period has reached a value that is considered to be sufficiently large is considered critical:
| M=1 | M=2 |
|---|---|
_M=1.png) |
_M=2.png) |
| M=3 | M=4 |
_M=3.png) |
_M=4.png) |
As a result, we obtain the dependence of the critical powers in units of the Gaussian critical power p_g on the degree of the polynomial M. Dependence is approximated by a polynomial of the first degree:
