Dynamics of mutual injection phase-locking of laser diode array with interference effect

Steering Synchronization Dynamics of Laterally Coupled Laser Array with Monolithically-Integrated External Cold Cavity

“…where, Sm is the photon density, ϕm is the phase, is the angular frequency, Nm is the carrier density, τL=2neffL/c is the round-trip time of photon in the IC, ω0m=2πc/λ0m is the initial angular frequency, which is related to the initial wavelength λ0m when oscillating freely, and θmn is the phase shift feedback from nth laser to mth laser. Table 1 shows the typical parameters used for simulation [28].…”

“…5(a1)-(a3). Subsequently, when the fill-factor is increased to 0.6 while maintaining the same coupling coefficient, the NFP is weakly coupled and the FFP becomes coherent, compared to gain EC or loss EC, ECC results in a pure single peak indicating far-field energy concentration and high peak optical intensity [28,29]. The full width at half maxima (FWHM) of far-filed divergence angle reaches 0.08°, which is near-diffraction limit, and the intensity of phase-locked optical field is about N 2 =19 2 times stronger, as shown in Fig.…”

“…When the fill-factor ff=0.04 and the coupling coefficient κ=2.07×1012 , because of the large separation of laser unit, the NFP consists of multiple independent beam spots, and the corresponding FFP exhibits multiple peaks resulting in energy dispersion and relatively low optical intensity, as shown in Fig.5(a1)-(a3). Subsequently, when the fill-factor is increased to 0.6 while maintaining the same coupling coefficient, the NFP is weakly coupled and the FFP becomes coherent, compared to gain EC or loss EC, ECC results in a pure single peak indicating far-field energy concentration and high peak optical intensity[28,29]. The full width at half maxima (FWHM) of far-filed divergence angle reaches 0.08°, which is near-diffraction limit, and the intensity of phase-locked optical field is about N 2 =19 2 times stronger, as shown in Fig.5(b1)-(b3).…”

Synchronization dynamics of tunable phase of monolithically-integrated external cold cavity edge-emitting laser array

“…where, Sm is the photon density, ϕm is the phase, is the angular frequency, Nm is the carrier density, τL=2neffL/c is the round-trip time of photon in the IC, ω0m=2πc/λ0m is the initial angular frequency, which is related to the initial wavelength λ0m when oscillating freely, and θmn is the phase shift feedback from nth laser to mth laser. Table 1 shows the typical parameters used for simulation [28].…”

“…5(a1)-(a3). Subsequently, when the fill-factor is increased to 0.6 while maintaining the same coupling coefficient, the NFP is weakly coupled and the FFP becomes coherent, compared to gain EC or loss EC, ECC results in a pure single peak indicating far-field energy concentration and high peak optical intensity [28,29]. The full width at half maxima (FWHM) of far-filed divergence angle reaches 0.08°, which is near-diffraction limit, and the intensity of phase-locked optical field is about N 2 =19 2 times stronger, as shown in Fig.…”