Jan K. Jabczyński, Przemysław Gontar, Łukasz Gorajek, and Waldemar Żendzian, "Simplified sensitivity analysis of coherent beam combining in a tiled
aperture architecture," Appl. Opt. 60, 5012-5019 (2021)
We propose a simple analytical–numerical model for simplified sensitivity analysis of
coherent beam combining of several dozens of emitters arranged in 2D
tiled architecture. The main findings are as follows: (i) regarding
phase/piston error, the performance does not depend on the number of
emitters and particular amplitude profiles and fulfills the Maréchal
formula; (ii) regarding tilt mismatch, the performance does not depend
on the number of emitters; however, the effect of amplitude profile
has to be taken into account; and (iii), regarding wavefront
aberration, the Strehl ratio drop is dominant and fulfills the
Maréchal formula as well.
Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.
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${N_{{\rm cr}}}$, number of crowns; ${N_{{\rm lat}}}$, number of emitters in lattice; ${r_{{\rm Airy}}}$, Airy radius; ${N_F} = {({2}{N_{{\rm cr}}} + 1)^2}{{a}^2}/(\lambda {s_1})$, Fresnel number; ${{\rm PIB}_{{\rm Airy}}}$, relative power content in Airy spot; ${I_{{\rm rel}}}$, Irradiance in the far field related to a single emitter for given beam profile.
Table 2.
Approximation Results for the Analysis of Sensitivity to Phase and Amplitude Perturbations
Decrease in the Merit Function
3%
5%
10%
20%
Phase disturbance
0.0303
0.0391
0.0553
0.0782
Amplitude disturbance
0.1883
0.2435
0.3437
0.4861
Table 3.
Approximation Data and Results for Tilt Perturbation Analysis
${N_{{\rm cr}}}$, number of crowns; ${N_{{\rm lat}}}$, number of emitters in lattice; ${r_{{\rm Airy}}}$, Airy radius; ${N_F} = {({2}{N_{{\rm cr}}} + 1)^2}{{a}^2}/(\lambda {s_1})$, Fresnel number; ${{\rm PIB}_{{\rm Airy}}}$, relative power content in Airy spot; ${I_{{\rm rel}}}$, Irradiance in the far field related to a single emitter for given beam profile.
Table 2.
Approximation Results for the Analysis of Sensitivity to Phase and Amplitude Perturbations
Decrease in the Merit Function
3%
5%
10%
20%
Phase disturbance
0.0303
0.0391
0.0553
0.0782
Amplitude disturbance
0.1883
0.2435
0.3437
0.4861
Table 3.
Approximation Data and Results for Tilt Perturbation Analysis
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