Can we fake a signal with gratings, and what happened to 1/r 2?

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1 Can we fake a signal with gratings, and what happened to 1/r 2? Experiments: Steve Hare, Mike Shinas, Matt Briggs Interpretation discussions: David Holtkamp, Dan Dolan, Jim Faulkner, Mike Shinas, Willard Hemsing, Larry Hull. Abstract Although PDV is a displacement interferometer, PDV does not see motion from a diffusely scattering surface approaching the probe if the motion is due to transverse motion of an angled surface. We reported this result at last years PDV workshop in Sandia. Our initial speculation of the cause was that surface roughness is randomizing the phases. Since then, this notion has been bolstered by Dan Dolan s analysis and experiments. By considering a phasor picture, it appears we should be able to trick PDV into measuring a signal with a stepped surface moving transversely. We report on our first attempts to do this using our Pea Shooter. We also update Mike Shinas report from last year on probe efficiencies, and note an apparent problem in the results. Approved for public release. Distribution unlimited. LA-UR 09-07232

PDV: only the component of velocity along beam 2 Our bullet shots from last year showed that PDV measures only the component of velocity along the beam; despite being a displacement interferometer, it fails to observe the displacements shown in red. v observed = vcos = 0 velocimetry probe beam v surface v observed = vcos vdt sin tan vdt cos velocimetry probe beam Surface normal at angle g to beam v vdt Surface moves with velocity v at angle q to beam LA-UR 09-07232

Why do we see zero velocity despite L 0? Idealized, the light we see comes from a series of facets that make up the sloping bullet surface. For a real surface, the jumps are >> 1550 nm, so the phase will appear to bounce around at random. 3 Bullet, Velocity v ~ Df >> 2p Velocity v LA-UR 09-07232

Compare Idealized to Realistic Surface PDV Signal ~ cos( target (t)); Narrow Beam (t i ) = 4 z i / ; = 1.5 m. Idealized surface, transverse motion with velocity v; displacement between scatterers < /2 PDV probe (t i ) v Idealized displacement < /2 z I cos( (t i )) Time Actual displacement >> /2 z i Time LA-UR 09-07232 4

PDV from transverse motion of a stepped surface? PDV Signal ~ cos( target (t)); Narrow Beam (t i ) = 4 z i / ; = 1.5 m. Stepped surface, transverse motion with velocity v. v z i < l/4 PDV probe (t i ) Time cos( (t i )) Time LA-UR 09-07232 5

It might be OK that beams are not so narrow PDV probe collects total return Im( ) field E at phase target v target 0 1 j = 2(2 z j /l) z j...j... 1 Add a new step, Remove the first. z j Re( ) E ~ applej e 2ik z j(t) = applej e 2ik (z o(t) + jdz) = e 2ik z o(t) applej e 2ik jdz = e 2ik z o(t) applej (e 2ikdz ) j = e 2ik z o(t) [sin( /2)/sin( /2)] (with e = 2kdz) LA-UR 09-07232 6

Will [sin(n /2)/sin( /2)] allow a signal? PDV probe v Grating: 1200 steps/mm, 26º blaze Beam: 30 µm diameter at grating; 40 steps l h θ = 26º l = cos(26º)/1.2 steps/µm = 0.75 µm; h = sin(26º)/1.2 steps/µm = 0.37 µm h = 0.24*l = 4ph/l = 3.0 rad; N = 40 sin(n /2)/sin( /2) = 0.31 (~ 1/100 of diffraction peak) Velocity measured = v*tan(26º) = 0.5 v? LA-UR 09-07232 7

UNCLASSIFIED Pea Shooter v LA-UR 09-07232 8

Grating Result: velocity not seen LA-UR 09-07232 9

Update on PDV probe efficiency study using the Luna Optical Backscattering Reflectometer PDV Workshop November 5th & 6th 2009 Presented by: Michael A. Shinas LANL, H-4 Michael Shinas, Matt Briggs, Steve Hare Abstract This PDV probe efficiency study collected plots of back reflection vs. distance on many different type of PDV probes used at H-4. An optical test stand was constructed for this work, which consisted of a probe holder, translation stage, opal diffuser and an Optical Frequency Domain Reflectometry (OFDR). Four new probes were evaluated on this test stand in 2009. The plots presented in this talk were created by taking backscatter measurements off an opal diffuser at a 3apple wedge and then moving to new locations and repeating the backscatter measurement. The diffuser was measured to have a uniform diffuseness of ±.5 db. LA-UR 09-07232 10

Outline Goal Describe the Probe test stand Show some examples of the Luna Analysis software Types of PDV probes tested Present Data LA-UR 09-07232 11

Goal The goal of this study is to compare the collection efficiency of different PDV probes using the same uniform diffuse surface. LA-UR 09-07232 12

Schematic of Probe Test Stand Edmunds Scientific Opal Diffusing glass Part # NT46-106 3apple wedge eliminates specular reflection from front surface of diffuser. (uniform diffuseness of ±.5 db) Translation stage All measurements were made at 1566nm PDV Probe The LUNA separates out the back reflection from each interface. Laptop computer OFDR Luna Technologies LA-UR 09-07232 13

Photos of probe test stand. LA-UR 09-07232 14

Luna Desktop Analysis software Backreflection From fiber Back of lens d Loss Diffuser Front of lens Scan from a 8 mm OZ probe 50mm WD A calibration gold metal reflector measured -.68 db at the beginning of test. LA-UR 09-07232 15

Typical curves db 0 20 40 60 80 100 120 140 160-50 -51-52 -53-54 -55-56 -57-58 -59-60 -61-62 -63-64 -65-66 -67-68 -69-70 -71-72 -73-74 -75-76 mm #1 (8.0 mm dia OZ 50 mm WD) #2 (1.24mm collimated Lightpath) LA-UR 09-07232 16

Types of PDV probes tested in 2008 Probe Number Collection Optic OD mm Probe OD mm Manufacture Manufacture part # Working Distance mm 1 1.95 2.4 OZ LPF-05-1550-9/125- S-12-75-5AS-60-3A-3-5 2 1.95 4.0 OZ LPF-01-1550-9/125- S-12-75-5AS-60-3A-3-5 3 7.12 8.0 OZ LPF-04-1550-9/125- S-6-75-11AS-60-3A-3-2 4 1.8 2.4 AC Photonics 1CL15P100CC01-CL 100 5 1.25 1.24 Light Path T1005Y0S1 Collimated 6 1.8 2.4 AC Photonics 1CL15P20LSC01-3M 20 75 75 75 7 NA 1.5 NSTec Drawing # 311235-04 Polished 8apple 8 7.12 8 OZ LPF-04-1550-9/125- S-7.4-50-6.2AS-60-3A-3-2 < 5 50 9 6.4 11 THORLABS F260FC-1550 Collimated LA-UR 09-07232 17

New probes tested in 2009 Probe Number Collection Optic OD mm Probe OD mm Manufacture Manufacture part # Working Distance mm 10 6.4 11 THORLABS F260APC-1550 Collimated 11 2.79 3.6 AC Photonics 1CL15P200LCC01-FC1 200 12 1.25 1.25 LIGHTPATH T1005Y0S1-50A 20 13 1.2 1.2 AC Photonics 1CL15P020LxH01-BLK 20 LA-UR 09-07232 18

Plots of back reflection vs. distance 2009 db -50-51 -52-53 -54-55 -56-57 -58-59 -60-61 -62-63 -64-65 -66-67 -68-69 -70-71 -72-73 -74-75 -76 mm 0 50 100 150 200 250 300 #10 ( 11mm THORLABS Collimated) #11 ( 3.6 mm AC Photonics 200 mm WD) #12 (1.25 mm LIGHTPATH 20 mm WD) #13 (1.2 mm AC Photonics 20 mm WD) LA-UR 09-07232 19

Plots of back reflection vs. distance THORLABS Collimated db -50-51 -52-53 -54-55 -56-57 -58-59 -60-61 -62-63 -64-65 -66-67 -68-69 -70-71 -72-73 -74-75 -76-77 -78-79 -80-81 -82-83 -84-85 -86-87 meter 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 #10 ( 11 mm THORLABS Collimated A probe that follows the Inverse square law LA-UR 09-07232 20

Plots of all Probes LA-UR 09-07232 21