Photobleaching of a solid photochromic medium by a Gaussian laser beam

Serge Caron; Roger A. Lessard; Pierre C. Roberge

doi:10.1364/AO.41.002907

Applied Optics
Vol. 41,
Issue 15,
pp. 2907-2913
(2002)
•https://doi.org/10.1364/AO.41.002907

Photobleaching of a solid photochromic medium by a Gaussian laser beam

Serge Caron, Roger A. Lessard, and Pierre C. Roberge

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Serge Caron, Roger A. Lessard, and Pierre C. Roberge, "Photobleaching of a solid photochromic medium by a Gaussian laser beam," Appl. Opt. 41, 2907-2913 (2002)

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Abstract

Equations that describe the photobleaching of photochromic layers illuminated by Gaussian laser beams are given. The photochromic samples are made of thionine, triethanolamine, and polyvinyl alcohol and follow simple kinetics law. Spatial absorbance and time-dependent power transmittance are well described by the developed equations. The model is used to calculate the Gaussian dimension of helium-neon laser beams from kinetics data.

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t (s)	(k _c t)_calc	(ρ₀)_calc (cm)	(ρ₀)_meas a (cm ± 0.03)
10	1.19	0.316	0.304
23	2.28	0.285	0.304
56	4.75	0.308	0.304
300	30	0.313	0.304
Mean values		0.31 ± 0.01	0.304

P _inc (mW)	I _c nW/cm²	b (λ₉₅)	a (λ₉₅)	k _c (s^-1)	T ₀
A: 7.8 ± 0.1	870 ± 80	-1.02 (0.05)	0.97 (0.01)	2.4 ± 0.1	0.14
B: 3.95 ± 0.05	440 ± 40	-1.68 (0.07)	0.93 (0.01)	1.2 ± 0.6	0.12
C: 1.75 ± 0.05	200 ± 20	-4.7 (0.2)	0.977 (0.006)	0.52 ± 0.03	0.23

P _inc (mW × 10²)	k _c (s^-1)	k ₀ (cm²/J)	(ρ₀)_calc cm × 10³	(ρ₀)_meas a (cm × 10³)
0.43 ± 0.03	0.076 ± 0.002	3.0 ± 0.2	10.4 ± 0.8	8.2 ± 0.3
7.5 ± 0.3	2.0 ± 0.1	3.0 ± 0.2	8.5 ± 0.7	8.2 ± 0.3
0.53 ± 0.03	0.101 ± 0.005	3.0 ± 0.2	10.0 ± 0.9	9.7 ± 0.4
8.3 ± 0.3	1.28 ± 0.06	3.0 ± 0.2	11.1 ± 0.8	9.7 ± 0.4

t (s)	(k _c t)_calc	(ρ₀)_calc (cm)	(ρ₀)_meas a (cm ± 0.03)
10	1.19	0.316	0.304
23	2.28	0.285	0.304
56	4.75	0.308	0.304
300	30	0.313	0.304
Mean values		0.31 ± 0.01	0.304

P _inc (mW)	I _c nW/cm²	b (λ₉₅)	a (λ₉₅)	k _c (s^-1)	T ₀
A: 7.8 ± 0.1	870 ± 80	-1.02 (0.05)	0.97 (0.01)	2.4 ± 0.1	0.14
B: 3.95 ± 0.05	440 ± 40	-1.68 (0.07)	0.93 (0.01)	1.2 ± 0.6	0.12
C: 1.75 ± 0.05	200 ± 20	-4.7 (0.2)	0.977 (0.006)	0.52 ± 0.03	0.23

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Equations (22)

Applied Optics