Evaluation of the PMMA microlens efficiency for the realization of a solar micro-concentrator array

F. Loffredo; F. Villani; C. Cancro; G. Nenna; A. Borriello; R. Miscioscia; C. Minarini; F. Roca

doi:10.1364/AO.57.004396

Applied Optics
Vol. 57,
Issue 16,
pp. 4396-4401
(2018)
•https://doi.org/10.1364/AO.57.004396

Evaluation of the PMMA microlens efficiency for the realization of a solar micro-concentrator array

F. Loffredo, F. Villani, C. Cancro, G. Nenna, A. Borriello, R. Miscioscia, C. Minarini, and F. Roca

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F. Loffredo, F. Villani, C. Cancro, G. Nenna, A. Borriello, R. Miscioscia, C. Minarini, and F. Roca, "Evaluation of the PMMA microlens efficiency for the realization of a solar micro-concentrator array," Appl. Opt. 57, 4396-4401 (2018)

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Abstract

In order to assess the performance of solar micro-concentrators, specific methods and protocols need to be developed, tested, and applied. In detail, as in conventional concentration modules, one of the fundamental parameters to consider is the efficiency of optical concentrators. In fact, optical concentrators give fundamental information on the current potentially generated from solar microcells that receive the concentrated light radiation. To develop a measurement method for micrometer-size optical components, a suitable optical system was implemented and used. Moreover, the potential application of the printed microstructures in an optical system for solar micro-concentrators was demonstrated.

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$Z$ coefficients		$(m, n)$	$X$	$Y$	Terms
	$Z_{0}$	(0, 0)	–	–	Piston
$Z_{1}$	$Z_{2}$	(1, 1)	–	–	Tilt
	$Z_{3}$	(1, 0)	–	–	Defocus
$Z_{4}$	$Z_{5}$	(2, 2)	0.08987	0.3304	Astigmatism
$Z_{6}$	$Z_{7}$	(2, 1)	0.08438	−1.129	Coma
	$Z_{8}$	(2, 0)	0.7123		Principal spherical
$Z_{9}$	$Z_{10}$	(3, 3)	0.513	−0.4198	Trefoil
$Z_{11}$	$Z_{12}$	(3, 2)	−0.1505	0.995	Secondary astigmatism
$Z_{13}$	$Z_{14}$	(3, 1)	−0.09179	−0.5519	Secondary coma
	$Z_{15}$	(3, 0)	−0.09004		Secondary spherical
$Z_{16}$	$Z_{17}$	(4, 4)	−0.6755	0.02118	Tetrafoil
$Z_{18}$	$Z_{19}$	(4, 3)	0.676	0.3907	Secondary trefoil
$Z_{20}$	$Z_{21}$	(4, 2)	−0.338	0.4622	Tertiary astigmatism
$Z_{22}$	$Z_{23}$	(4, 1)	0.05939	−0.2019	Tertiary coma
	$Z_{24}$	(4, 0)	−0.001624		Tertiary spherical

Measure Id	1	2	3	4	5
Iris diameter (mm)	12.2	10.4	7.8	5.2	2.6
Real diameter (μm)	142	120	90	60	30
Pw hitting lens ( $\times 10^{- 7} W$ )	4.60	4.60	4.60	4.60	4.60
Pw of concentrated beam ( $\times 10^{- 7} W$ )	4.31	4.22	4.06	3.98	3.72
Lens efficiency (%)	93.6	91.7	88.3	86.5	80.8
Concentration factor ( $X$ )	1	1.37	2.44	5.5	22

$Z$ coefficients		$(m, n)$	$X$	$Y$	Terms
	$Z_{0}$	(0, 0)	–	–	Piston
$Z_{1}$	$Z_{2}$	(1, 1)	–	–	Tilt
	$Z_{3}$	(1, 0)	–	–	Defocus
$Z_{4}$	$Z_{5}$	(2, 2)	0.08987	0.3304	Astigmatism
$Z_{6}$	$Z_{7}$	(2, 1)	0.08438	−1.129	Coma
	$Z_{8}$	(2, 0)	0.7123		Principal spherical
$Z_{9}$	$Z_{10}$	(3, 3)	0.513	−0.4198	Trefoil
$Z_{11}$	$Z_{12}$	(3, 2)	−0.1505	0.995	Secondary astigmatism
$Z_{13}$	$Z_{14}$	(3, 1)	−0.09179	−0.5519	Secondary coma
	$Z_{15}$	(3, 0)	−0.09004		Secondary spherical
$Z_{16}$	$Z_{17}$	(4, 4)	−0.6755	0.02118	Tetrafoil
$Z_{18}$	$Z_{19}$	(4, 3)	0.676	0.3907	Secondary trefoil
$Z_{20}$	$Z_{21}$	(4, 2)	−0.338	0.4622	Tertiary astigmatism
$Z_{22}$	$Z_{23}$	(4, 1)	0.05939	−0.2019	Tertiary coma
	$Z_{24}$	(4, 0)	−0.001624		Tertiary spherical

Measure Id	1	2	3	4	5
Iris diameter (mm)	12.2	10.4	7.8	5.2	2.6
Real diameter (μm)	142	120	90	60	30
Pw hitting lens ( $\times 10^{- 7} W$ )	4.60	4.60	4.60	4.60	4.60
Pw of concentrated beam ( $\times 10^{- 7} W$ )	4.31	4.22	4.06	3.98	3.72
Lens efficiency (%)	93.6	91.7	88.3	86.5	80.8
Concentration factor ( $X$ )	1	1.37	2.44	5.5	22

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Equations (1)

Applied Optics