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Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Principles of tomographic interferometry: (a) scheme of multidirectional phase.

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Presentation on theme: "Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Principles of tomographic interferometry: (a) scheme of multidirectional phase."— Presentation transcript:

1 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Principles of tomographic interferometry: (a) scheme of multidirectional phase data acquisition: n(x,y,z)—refractive index distribution in the object: x, y, z—local coordinates of the object (z-axis perpendicular to drawing plane), α—angle between x-axis and optical axis of interferometric system; π′—image plane of interferometric system; y′, z′—coordinates in π′-plane; I(α,y′,z′)—interferogram; P(α,y′,z′)—phase map; (b) sinogram: P(α0,y′,z0′)÷P(αn,y′,z0′)—one-dimensional phase maps corresponding to object slice n(x,y,z0); (c) three-dimensional object reconstruction from slices. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

2 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Automated tomographic microinterferometer. (a) The setup: He-Ne-laser HNA 188S (Carl Zeiss Jena); MO1—standard microscopic objective 20×; FC—single-mode fiber coupler preserving polarization state; L1—collimating objective; F—tested object; IK— immersion vessel; MO2—microscopic objective NIKON CFI ACHROMAT FLAT F1 LWD 20×, BS—polarizing beamsplitter cube; L2—imaging lens; MO3—standard microscopic objective 20×; MXY—XY positioner; P—polarizer (Polaroid); RU—rotary unit; CCD—analog camera; PC—computer with frame grabber card; V∑—amplitude-phase distribution in the plane tangent to the object’s surface. (b) scheme of high-precision rotary unit: R—rotary stage powered by step motor; E—elastic clutch; B—bearings; MP—v-shaped fiber holder; L—latch; F—fiber; IK—immersion vessel. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

3 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Numerical correction of radial run-out principle. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

4 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Exemplary results of numerical correction of radial run-out; (a) sinogram before and (b) after correction. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

5 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Three-dimensional reconstruction of refractive index distribution in optical fibers. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

6 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Results of measurement of test object; (a) cross section; (b) profile A-A; thick line—ideal profile; thin line—measured profile. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

7 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Determination of plane of fiber’s ends “touch,”; (a) location of A-A cross section; (b) necking (thick lines added to emphasize) corresponding to splice plane P1, P2, P3—investigated planes. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

8 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Refractive index distribution n(x,y,zP1) in plane P1 from Fig. ; (a) gray-level map; (b) 3D mesh of central part of cross section featuring core area; (c) profile A-A from Fig. ; (d) profile B-B from Fig.. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

9 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Refractive index distribution n(x,y,zP2) in plane P2 from Fig. ; (a) gray-level map; (b) 3D mesh of central part of cross section featuring core area; (c) profile A-A from Fig. ; (d) profile B-B from Fig.. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

10 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Refractive index distribution n(x,y,zP3) in plane P3 from Fig. ; (a) gray-level map; (b) 3D mesh of central part of cross section featuring core area; (c) profile A-A from Fig. ; (d) profile B-B from Fig.. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

11 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Refractive index distribution in multimode optical fiber used to produce the tested splice, single slice n(x,y,z0) considered; (a) gray- level map; (b) 3D mesh of central part of cross section featuring core area; (c) profile A-A from Fig. ; (d) profile B-B from Fig. (thick line—refractive index profile drawn according to data of manufacturer). Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

12 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. The sequential calculation of amplitude phase distribution. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

13 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Results of the simulation of reconstruction of refractive index in the single-mode fiber (core: 8μm, cladding: 125μm), including diffraction and NO radial run-out. (a) exemplary cross section; (b) profile A-A from Fig. ; (c) profile from the same cross section but no diffraction included in the simulation. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

14 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Results of the simulation of reconstruction of refractive index in the single-mode fiber (core: 8μm, cladding: 125μm), including diffraction, and with radial run-out equal to 0.5μm. (a) exemplary cross section; (b) magnification of the central area; (c) profile A-A from Fig.. Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351

15 Date of download: 6/23/2016 Copyright © 2016 SPIE. All rights reserved. Refractive index distribution in single mode optical fiber, single slice n(x,y,z0) considered; (a) gray-level map; (b) magnification of the central area; (c) 3D mesh of central part of the cross section featuring the core area; (d) profile A-A from Fig. ; (e) profile B-B from Fig. (nclad=1.46; ncore=1.47, core diameter=8μm; cladding diameter=125μm). Figure Legend: From: Tomographic microinterferometry of optical fibers Opt. Eng. 2006;45(12):125002-125002-12. doi:10.1117/1.2405351


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