Table 1 Physical laser parameters used for simulation of the vortex VECSEL dynamics, w/o Spiral Phase Metasurface.

From: Vortex Laser based on III-V semiconductor metasurface: direct generation of coherent Laguerre-Gauss modes carrying controlled orbital angular momentum

Parameters

Value

Units

Description

γ = 2πfcc

2108

s −1

Photon decay rate

B

0.7

s −1

Einstein coefficient for stimulated emission

A

5108

s −1

Carrier relaxation rate

α

3

 

Phase-amplitude coupling factor

ω 21

0 or 1.25108

s −1

Frequency separation of counter-rotating vortex mode

L g

12 × 8

nm

Gain thickness

L c

9.5

mm

Optical cavity length

w 0

25

μm

LG00 fundamental beam waist

γ b

5.10−6γ

s −1

Backscattering amplitude

μ

π

rad

Backscattering phase

ρ(r,θ)

s −1 m −3

Pump distribution in the QWs

η

1 to 2

 

Pump rate normalized to threshold

w p

45

μm

Pump spot radius @1/e2

0

s −1

Random Langevin forces for the electric field of ith mode (mean value)

ξγδ(t − t′)δij

s −2

Random Langevin force variance

ξ

1.2

 

Spontaneous emission to stimulated emission ratio (reduced to one photon)