Features of the three-phonon acousto-optical interaction due to elastic waves of finite amplitude and an advanced spectrum analysis of optical signals

A. S. Shcherbakov; A. O. Arellanes

doi:10.1364/JOSAB.33.001852

Journal of the Optical Society of America B
Vol. 33,
Issue 9,
pp. 1852-1864
(2016)
•https://doi.org/10.1364/JOSAB.33.001852

Features of the three-phonon acousto-optical interaction due to elastic waves of finite amplitude and an advanced spectrum analysis of optical signals

A. S. Shcherbakov and A. O. Arellanes

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A. S. Shcherbakov and A. O. Arellanes, "Features of the three-phonon acousto-optical interaction due to elastic waves of finite amplitude and an advanced spectrum analysis of optical signals," J. Opt. Soc. Am. B 33, 1852-1864 (2016)

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Abstract

The unexpected features of square-law nonlinearity inherent in the noncollinear three-phonon acousto-optical interaction controlled by elastic waves of finite amplitude in birefringent crystals with linear acoustic attenuation are distinguished and investigated. They lead to breakthrough applications of strongly nonlinear three-phonon interaction to linear optical spectrum analysis with $\sim 100 %$ efficiency and qualitatively improved resolution. A principally new physical degree of freedom, unique for this nonlinear phenomenon, is revealed and characterized. The indispensable theoretical developments and proof-of-principle acousto-optical experiments with specially designed wide-aperture tellurium dioxide cells are presented. The obtained experimental results confirm the elaborated approaches, promising potentially the highest possible spectral resolution that one can expect in principle from the acousto-optical technique within optical spectrum analysis.

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Equations (16)

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$D_{k}$ , cm	$B_{k}$ , dB	$δ f_{k, T}$ , kHz	$δ λ_{k, T}$ , Å	$(σ_{a} x)_{1, Opt}^{(k)}$	${\| C_{3} \|}_{\min, K}^{2}$	$β_{k}$	$κ_{k}$
2	2.45	10.27	0.771	3.105	0.86	0.302	1.0113
3	3.68	6.85	0.514	3.29	0.72	0.675	1.02443
4	4.9	5.13	0.385	3.47	0.56	1.16	1.04345
5	6.13	4.11	0.309	3.64	0.405	1.808	1.06867
6	7.35	3.42	0.257	3.82	0.28	2.546	1.0984

$D_{k}$ , cm	$σ_{1, Opt, k}$ , ${cm}^{- 1}$	$B_{k}$ , dB	$d_{s, k}$ , μm	$N_{k}$ , res. spots	$P_{1, k}$ , $W / {cm}^{2}$
2.0	2.588	2.45	20.976	54.7	2.184
3.0	2.742	3.68	14.164	82.1	2.462
4.0	2.892	4.90	10.821	109.5	2.727
5.0	3.033	6.13	8.866	136.8	3.000
6.0	3.183	7.35	7.596	164.2	3.304

$D_{k, T}$ , cm	$D_{k, M}$ , cm	$κ_{k}$	$δ f_{k, T}$ , kHz	$δ f_{k, M}$ , kHz	$Δ λ_{k, T}$ , Å	$Δ λ_{k, M}$ , Å	$N_{k, T}$	$N_{k, M}$
2.0	1.59	1.0113	10.27	12.917	0.771	0.970	55	62
3.0	2.35	1.0243	6.85	8.726	0.514	0.655	82	92
4.0	3.084	1.0435	5.13	6.658	0.385	0.512	110	120
5.0	3.76	1.0687	4.11	5.463	0.309	0.411	137	146
6.0	4.40	1.0984	3.42	4.672	0.257	0.351	164	171

$D_{k}$ , cm	$B_{k}$ , dB	$δ f_{k, T}$ , kHz	$δ λ_{k, T}$ , Å	$(σ_{a} x)_{1, Opt}^{(k)}$	${\| C_{3} \|}_{\min, K}^{2}$	$β_{k}$	$κ_{k}$
2	2.45	10.27	0.771	3.105	0.86	0.302	1.0113
3	3.68	6.85	0.514	3.29	0.72	0.675	1.02443
4	4.9	5.13	0.385	3.47	0.56	1.16	1.04345
5	6.13	4.11	0.309	3.64	0.405	1.808	1.06867
6	7.35	3.42	0.257	3.82	0.28	2.546	1.0984

$D_{k}$ , cm	$σ_{1, Opt, k}$ , ${cm}^{- 1}$	$B_{k}$ , dB	$d_{s, k}$ , μm	$N_{k}$ , res. spots	$P_{1, k}$ , $W / {cm}^{2}$
2.0	2.588	2.45	20.976	54.7	2.184
3.0	2.742	3.68	14.164	82.1	2.462
4.0	2.892	4.90	10.821	109.5	2.727
5.0	3.033	6.13	8.866	136.8	3.000
6.0	3.183	7.35	7.596	164.2	3.304

Abstract

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Figures (15)

Tables (3)

Equations (16)

Journal of the Optical Society of America B