LED-based Vis-NIR spectrally tunable light source - the optimization algorithm

Journal of the European Optical Society-Rapid Publications

Table 7 LED coefficients produced by MATHEMATICA and our algorithmic solutions for different temperatures in the spectral range 700 - 1070 nm

SPD of LEDs for Planck’s law in the spectral range 700 - 1070 nm
LED	Coefficient	Temperature 800 °C		Temperature 1000 °C		Temperature 1200 °C
LED	Coefficient	Mathematica	Our algorithm	Mathematica	Our algorithm	Mathematica	Our algorithm
L680	a ₁	0.008	0.023	0.290	0.215	2.893	3.770
L690	a ₂	0.004	0	0	0.012	0	0
L700	a ₃	0.013	0.013	0.319	0.325	2.893	2.727
L710	a ₄	0.010	0.010	0.171	0.168	1.497	1.570
L720	a ₅	0.014	0.015	0.295	0.297	2.565	2.532
L735	a ₆	0.031	0.030	0.542	0.542	4.407	4.417
L750	a ₇	0.020	0.021	0.362	0.362	2.916	2.906
L760	a ₈	0.030	0.029	0.478	0.479	3.593	3.592
L770	a ₉	0.015	0.015	0.233	0.231	1.792	1.786
L780	a ₁₀	0.054	0.054	0.834	0.835	6.048	6.051
L800	a ₁₁	0.067	0.065	0.955	0.955	6.701	6.700
L810	a ₁₂	0.074	0.074	1.008	1.008	6.753	6.754
L820	a ₁₃	0	0	0	0	0	0
L830	a ₁₄	0.076	0.076	1.003	1.002	6.548	6.547
L850	a ₁₅	0.190	0.190	2.298	2.298	14.156	14.156
L870	a ₁₆	0.072	0.072	0.930	0.930	5.803	5.804
L890	a ₁₇	0.322	0.323	3.401	3.401	19.004	19.004
L910	a ₁₈	0.156	0.156	1.681	1.682	9.371	9.371
L940	a ₁₉	0.662	0.663	6.226	6.226	31.796	31.796
L970	a ₂₀	0	0	0	0	0.029	0.029
L980	a ₂₁	0.706	0.706	6.188	6.188	29.972	29.972
L1020	a ₂₂	0.802	0.801	6.499	6.498	29.740	29.740
L1050	a ₂₃	0.571	0.571	4.617	4.617	20.981	20.981
L1070	a ₂₄	2.273	2.273	16.032	16.032	66.493	66.492
σ (standard deviation)		0.022123	0.022124	0.181485	0.181485	0.855000	0.855004
Maximum deviation (%)		4.63	4.65	4.79	4.79	5.00	5.00