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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 20 — Jul. 10, 2014
  • pp: 4481–4482
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Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses: erratum

V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh  »View Author Affiliations


Applied Optics, Vol. 53, Issue 20, pp. 4481-4482 (2014)
http://dx.doi.org/10.1364/AO.53.004481


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Abstract

We address errors found in our recent measurement data for the piezo-optic coefficients and calculation data for the photoelastic coefficients and the acousto-optic figures of merit for LiKB 4 O 7 , Li 2 B 6 O 10 , and LiCsB 6 O 10 glasses [Appl. Opt. 49, 5360 (2010)].

© 2014 Optical Society of America

We have found some errors in the piezo-optic coefficients measured for LiKB4O7, Li2B6O10, and LiCsB6O10 glasses in our recent work [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

]. The errors arose because a common uniaxial mechanical loading method was applied, leading to the appearance of spatially inhomogeneous stresses inside the glass samples, with unknown coordinate dependences (see, e.g., Ref. [2

2. Yu. Vasylkiv, O. Kvasnyuk, O. Krupych, O. Mys, O. Maksymuk, and R. Vlokh, “Reconstruction of 3D stress fields basing on piezo-optic experiment,” Ukr. J. Phys. Opt. 10, 22–37 (2009). [CrossRef]

]). As a result, the stress tensor components and, subsequently, the piezo-optic coefficients were determined with inappropriate errors or even incorrectly. In addition, the contribution of Poisson strain to the total optical retardation determined with the interferometric technique was not accounted for in Ref. [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

].

We have reinvestigated the piezo-optic coefficients for LiKB4O7, Li2B6O10, and LiCsB6O10 glasses using an experimental method suggested recently. It is based on a so-called four-point bending technique [3

3. O. Krupych, V. Savaryn, I. Skab, and R. Vlokh, “Interferometric measurements of piezo-optic coefficients by means of four-point bending method,” Ukr. J. Phys. Opt. 12, 150–159 (2011). [CrossRef]

]. The correct piezo-optic coefficients have been obtained, as shown in Table 1. Table 1 also presents the recalculated photoelastic coefficients. Moreover, we have introduced the corrections for the mean-square deviations for the elastic stiffness coefficients.

Table 1. Acoustic, Piezo-Optic, Elastic, Photoelastic, and Acousto-Optic Parameters of the Borate Glasses

table-icon
View This Table

It follows from the results of our recent work [4

4. O. Mys, M. Kostyrko, M. Smyk, O. Krupych, and R. Vlokh, “Anisotropy of acoustooptic figure of merit in optically isotropic media,” Appl. Opt. (to be published).

] that the optically isotropic glass media are characterized by three different types of acousto-optic (AO) figures of merit and not four as supposed in Ref. [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

]. They are concerned with the following experimental geometries:
  • (I) AO interaction of a longitudinal acoustic wave propagating along the X axis (the velocity v11) with an incident optical wave, where the electric induction D is parallel to Y axis;
  • (II) AO interaction of a longitudinal acoustic wave (v11) propagating along the X axis with an incident optical wave, where the electric induction lies in the XZ plane at an angle θB with respect to the X axis (D3=DsinθB and D1=DcosθB); and
  • (III) AO interaction of a transverse acoustic wave (v13) that propagates along the X axis and is polarized along the Z axis, with an incident optical wave, where the polarization vector lies in the XZ plane at an angle θB with respect to the X axis (D3=DsinθB and D1=DcosθB).

Notice that a fourth, hypothetical, type of AO interaction has also been considered in Ref. [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

]. It involves a transverse acoustic wave v13 and an incident optical wave polarized parallel to the Y axis. However, this interaction cannot be implemented since the relevant elasto-optic coefficient p25 is equal to zero in all isotropic solid-state media (see Ref. [4

4. O. Mys, M. Kostyrko, M. Smyk, O. Krupych, and R. Vlokh, “Anisotropy of acoustooptic figure of merit in optically isotropic media,” Appl. Opt. (to be published).

]).

The AO figures of merit for all of the three possible types of AO interactions may be written as, M2(I)=n6p122/ρv113, M2(II)=n6(p12sin2θB+p11cos2θB)2/ρv113, and M2(III)=n6(p44sin2θB)2/ρv133 (see Ref. [4

4. O. Mys, M. Kostyrko, M. Smyk, O. Krupych, and R. Vlokh, “Anisotropy of acoustooptic figure of merit in optically isotropic media,” Appl. Opt. (to be published).

]), where p44=p11p12, p11, and p12 are the photoelastic coefficients, v11 and v13 are the velocities of the longitudinal and transverse acoustic waves, respectively, n denotes the refractive index, ρ is the glass density, and θB is the Bragg angle defined by the relation sinθB=λfa/2nvij. Here, the acoustic wave frequency fa takes a value of 500 MHz.

The corrected values of the AO figures of merit are gathered in Table 1. Among the borate glasses under analysis, the highest AO figure of merit corresponds to LiCsB6O10. It is equal to (7.443±0.529)×1015s3/kg rather than, (201±104)×1015s3/kg as declared in Ref. [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

]. Nonetheless, the LiCsB6O10 glass still remains an effective AO material, in compliance with what has been concluded in Ref. [1

1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

].

References

1.

V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]

2.

Yu. Vasylkiv, O. Kvasnyuk, O. Krupych, O. Mys, O. Maksymuk, and R. Vlokh, “Reconstruction of 3D stress fields basing on piezo-optic experiment,” Ukr. J. Phys. Opt. 10, 22–37 (2009). [CrossRef]

3.

O. Krupych, V. Savaryn, I. Skab, and R. Vlokh, “Interferometric measurements of piezo-optic coefficients by means of four-point bending method,” Ukr. J. Phys. Opt. 12, 150–159 (2011). [CrossRef]

4.

O. Mys, M. Kostyrko, M. Smyk, O. Krupych, and R. Vlokh, “Anisotropy of acoustooptic figure of merit in optically isotropic media,” Appl. Opt. (to be published).

OCIS Codes
(160.1050) Materials : Acousto-optical materials
(160.2750) Materials : Glass and other amorphous materials
(160.4670) Materials : Optical materials

ToC Category:
Materials

History
Original Manuscript: June 5, 2014
Published: July 4, 2014

Citation
V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, "Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses: erratum," Appl. Opt. 53, 4481-4482 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-20-4481


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References

  1. V. Adamiv, I. Teslyuk, Ya. Dyachok, G. Romanyuk, O. Krupych, O. Mys, I. Martynyuk-Lototska, Ya. Burak, and R. Vlokh, “Synthesis and optical characterization of LiKB4O7, Li2B6O10, and LiCsB6O10 glasses,” Appl. Opt. 49, 5360–5365 (2010). [CrossRef]
  2. Yu. Vasylkiv, O. Kvasnyuk, O. Krupych, O. Mys, O. Maksymuk, and R. Vlokh, “Reconstruction of 3D stress fields basing on piezo-optic experiment,” Ukr. J. Phys. Opt. 10, 22–37 (2009). [CrossRef]
  3. O. Krupych, V. Savaryn, I. Skab, and R. Vlokh, “Interferometric measurements of piezo-optic coefficients by means of four-point bending method,” Ukr. J. Phys. Opt. 12, 150–159 (2011). [CrossRef]
  4. O. Mys, M. Kostyrko, M. Smyk, O. Krupych, and R. Vlokh, “Anisotropy of acoustooptic figure of merit in optically isotropic media,” Appl. Opt. (to be published).

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