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ID Date Author Type Category Subjectup
  222   Wed Feb 4 20:07:24 2015 KojiGeneralGeneralItem lending

Shipment to MIT (L. Barsotti, J. Miller)

1. UV Illuminator (LESCO Super Spot MK III)

2. UV Power meter (American Ultraviolet AIB1001) Caltech property C30140

3. UV protection face shield (VWR UVC-803) Qty.2 Caltech property C30141/C30142

4. UV Fiber Optic Light Guide (American Ultraviolet OLB1081) C30143

All returned: Aug 30, 2016

  226   Tue Jul 21 20:20:12 2015 KojiGeneralGeneralItem lending

Kate (ATF)

- 4ch color oscilloscope (Tektronix)

- Chopper controller

- Chopper with a rotating disk

  268   Fri Sep 9 14:34:31 2016 KojiGeneralGeneralItem lending

To 40m

First Contact Kit by Calum

Class A Kapton sheets


  389   Thu Feb 27 14:31:13 2020 KojiGeneralGeneralItem lending

Item lending as per Ian's request: Particle Counter from OMC Lab to QIL


  390   Mon Aug 10 15:29:54 2020 KojiGeneralGeneralItem lending

The particle counter came back to the OMC lab on Aug 10, 2020


  376   Wed Sep 18 23:16:06 2019 StephenSupplyGeneralItems staged at 40m Bake Lab for PZT Subassembly Bonding

The following items are presently staged at the 40m Bake Lab (see photo indicating current location) (noting items broght by Koji as well):

  1. Bonding fixtures, now modified with larger washers to constrain springs, and with modification from OMC elog 358.
  2. Curved Mirrors and Tombstones as selected by Shruti in OMC elog 374.
  3. PZTs as debonded from first iteration subassemblies (SN 12 and SN 13)
  4. Epoxy-cure-testing toaster oven
  5. Other items I can't think of but will populate later  =D

The following item is in its home in Downs 303 (Modal Lab)

  1. EP30-2 epoxy (expiration 2020 Jan 22) with full kit (tracked in PCS via location update [LINK])


  261   Fri Jun 10 17:12:57 2016 KojiGeneralConfigurationL1 OMC DCPD replacement

New DCPD(T) = A1-23
DCPD(T) = DCPDB: extracted and accomodated in CAGE-G SLOT1

New DCPD(R) = A1-25
DCPD(R) = DCPDA: extracted and accomodated in CAGE-G SLOT2

  137   Wed Jun 5 01:06:35 2013 ZachGeneralCharacterizationL1 OMC as-built diagram



  139   Wed Jun 5 18:51:31 2013 KojiGeneralGeneralL1 OMC shipped out

[Koji, Jeff]

The L1 OMC finally sent out from Caltech!

CAM00011.jpg   P6054027.JPG

  178   Tue Feb 18 18:58:38 2014 KojiGeneralGeneralLHO H1 OMC installation photos

LHO OMC installation photos

  446   Thu Aug 25 14:22:08 2022 KojiGeneralGeneralLLO OMC #001 Ballast Mass investigation

Inspected the past LLO add-on mass configuration.

There are unknown masses at the DCPD side. It looks like a small SS mass with an estimated mass of 5g. But the DCC number is unknown.

We are going to add 10g on each corner as well as the damping aterial. We should be able to figure out the fastener / mass configuration.

  447   Thu Aug 25 20:05:00 2022 KojiGeneralGeneralLLO OMC #001 Ballast Mass investigation

Here is the balance mass info for the LLO OMC#001 analyzed from the photographs

  • Added masses are: 50+10g, 50+20, 10+20+5, and 20+20+10 for the mass right above FM1/CM1/FM2 and CM2, respectively.
  • The length of the 1/4-20 screws seem L=3/4"~1"

If we attach the additional mass, longer 1/4-20 screws (1", 1" 1/8, 1" 1/4) are going to be used.

  450   Mon Sep 26 14:27:49 2022 KojiGeneralGeneralLLO OMC ICS work

OMC #001

OMC #002

  270   Mon Nov 21 21:19:20 2016 KojiOpticsGeneralLWE NPRO Laser / Input Optics / Fiber Coupling

- About 1.5 month ago, an 700mW LWE NPRO has been brought to OMC Lab.

- The SOP can be found here.

- The base was made for the beam elevation of 3" height. Four 1" pedestals were attached to rise the beam elevation to 4".

- The output from the laser is ~740mW

- After the faraday and the BB EOM, the output is ~660mW

- After the usual struggle, the beam was coupled to the SM fiber. The output is 540mW. The coupling efficiency is >80%.

- Will proceed to the OMC cavity alignment.

  271   Wed Dec 7 19:18:10 2016 KojiOpticsGeneralLWE NPRO Laser / Input Optics / Fiber Coupling

FIber Input Mount 132deg
Fiber output mount 275deg
-> 525mW P: 517mW S: 8mW extinction ratio: 0.016

  392   Mon Aug 10 15:53:46 2020 KojiGeneralGeneralLab status check

Check-in to the OMC lab to see the status. Nothing seemed changed. No bug. The HEPA is running normal. The particle level was 0.

Went into the HEPA enclosure and put a cover on the OMC. Because of the gluing template, the lid could not be close completely (that's expected and fine).

The IPA vector cloth bag was not dry yet but seemed expired (some smell). There is no stock left -> 5 bags to be ordered.

  46   Wed Dec 26 14:33:33 2012 KojiFacilityGeneralLase Interlock wired

Two switches are connected in series.

  15   Sat Aug 11 00:59:14 2012 KojiFacilityGeneralLaser Safety Barrier

It seemed that a laser safety barrier was installed today!?



  122   Wed May 8 15:36:50 2013 KojiGeneralGeneralLatest OMC schedule
(done) Mon  6th: Invar plate arrival / Spot position measurement
(done) Tue  7th: Invar plate cleaning / Spot position measurement / EP30-2 arrival / Invar plate gluing to the test mounting brackets
(done) Wed  8th: Invar plate cleaning done / Baking of the test pieces (with Bob's oven)
Thu  9th: ***After bake torque/force test***

***If the invar plate passes the test***
Thu  9th Light side invar plate gluing
Fri 10th Cable side invar plate gluing

Mon 13th The OMC given to Bob (Air bake & Vac bake)

Mon 20th The OMC received from Bob
         Apply First contact
         Diode mount adjustment / Electronic tests
Tue 21st Diode mount adjustment / Electronic tests / Optical tests
Wed 22nd Final cabling (***Chub***)
Thu 23rd Final cabling / Packing
Fri 24th Packing / Shipping

Mon 27th? Arrival to LLO / Koji fly to LLO
Tue 28th Test on the optical bench
Wed 29th Test on the optical bench
Thu 30th Suspension test? (***Jeff B***)

Tue  4th Suspension test done?
  82   Tue Mar 26 22:33:07 2013 KojiGeneralGeneralLoan for the OMC building

Loan from PSL Lab

- 300mm mirror with Ultima mount and pedestal
- Isopropanol small glass bottleReturned on Apr 12 2013.
- Newport 422-1S single-axis stage
Returned on Apr 12 2013.

Loan from ATF Lab

- 50/50 Cube BS 05BC16NP.9 without mount
- 1.5" pedestal (1/4-20 thread), 1/4" shim (1/4-20 through-hole), 1/8" shim (1/4-20 through-hole): 2 eachReturned on Aug 22, 2013.
- PBS & PBS mount
- Newport 422-1S single-axis stageReturned on Apr 12 2013.
- 10 ft BNC cable x 2
- some more BNC (labeled as ATF)Returned on May 20 2013.
- Y1-1037-45P with ultima mount 3inch post
- 1x Newfocus 5104 mirrorReturned on Aug 22, 2013.
- 4x ForkReturned on Aug 22, 2013.

Loan from 40m

- 4 BNC Ts and 1 BNC Ys
- 4 BNC Ts and 1 BNC YsReturned on May 20 2013.
- 6 BNC cablesReturned on May 20 2013.

- SONY CCD / CCD Monitor / CCD power supply
- Optical fiber tester (for fiber alignment) Returned on Apr 9 2013.

  248   Fri Dec 18 15:33:24 2015 KojiGeneralLoan / LendingLoan from Rich

Loan Record: I borrowed a PD can opener from Rich => Antonio Returned Sep 9, 2016

Tungsten Carbide Engraver (permanently given to the OMC lab)


  26   Fri Oct 12 17:15:19 2012 KojiOpticsGeneralLoan from the 40m / ATF
  • HWP set
    • Optics: CVI QWPO-1064-08-2-R10
    • Mount: New Focus #9401
    • Post: Pedestal 2.5inch
    • Returned: Oct 19, 2012 by KA
  • QWP set
    • Optics: CVI QWPO-1064-05-4-R10
    • Mount: New Focus #9401
    • Post: Pedestal 2.5inch
    • Returned: Jan 17, 2013 by KA
  • Faraday set
    • Optics: OFR IO-2-YAG-HP Returned: Mar 21, 2013 by KA
    • Mount: New Focus #9701 Returned: Apr 17, 2013 by KA
    • Post: Pedestal (1.5+0.25inch)x2
  • Steering Mirror 1
    • Optics: CVI Y1-1037-45S
    • Mount: Newport Ultima U100-AC
    • Post: Pedestal 3inch
    • Returned: Jan 17, 2013 by KA
  • Steering Mirror 2
    • Optics: CVI Y1-1037-45P
    • Mount: Newport Ultima U100-AC
    • Post: Pedestal 3inch
    • Returned: Jan 17, 2013 by KA
  • Steering Mirror 3
    • Optics: New Focus 5104
    • Mount: Newport Ultima U100-AC
    • Post: Pedestal 3inch
    • Returned: Jan 17, 2013 by KA
  • Prism Mount
    • Mount: Thorlabs KM100P+PM1 2014/7/17
    • Post: Pedestal 1.5+1+1/8inch
  • 0.5" Mirror Mount
    • Mount: Newport U50-AReturned: Apr 17, 2013 by KA
    • Mount: Newport U50-A 2014/7/17
    • Post: Pedestal 1.5+2inch
  • Black Glass Beam Dump
    • Optics: 1" sq. schott glass x3
    • Mount: Custom Hexagonal 1"
    • Post: Pedestal 3inch
  • PBS Set
    • 05BC16PC.9 (PBS 1064 1000:1)
    • Mount: Custom Aluminum
    • Returned: Jan 17, 2013 by KA
  • Lenses
    • KBX067.AR33 f=125mm
    • KPX106 f=200mm, KPX109 f=250mm unknown-coat
    • KPX088.AR33 f=75mm
    • KPX094.AR33 f=100mm
    • PLCX-C (BK7) 3863 (f=7.5m), 2060 (f=4.0m), 1545 (f=3.0m), 1030 (f=2.0m) non-coat
    • PLCX-UV (FS) 30.9 non-coat(!) f=60mm
    • Returned: Jan 17, 2013 by KA
  • Pedestals
    • 1/4" x5, 1/8" x3, Returned: Jan 17, 2013 by KA
    • 0.5" x1, 1.5" x1

Another loan from the 40m on Oct 17th, 2012

  • Minicircuits
    • Splitter ZFSC-2-5 x2
    • Filter SLP-1.9 x2 / BLP-1.9 x1/2 / SLP-5 x1
    • Returned: Jan 17, 2013 by KA
  • Connectors / Adaptors
    • SMA TEE x1 / SMA 50Ohm x 1 / BNC T x 10, Returned: Jan 17, 2013 by KA
    • SMA TEE x1 / SMA 50Ohm x 1Returned: May 20, 2013 by KA
  • Pomona Box x1, Returned: Jan 17, 2013 by KA
  • Pomona Box x1
  • Power supply for New Focus Fast PD made by Jamie R Returned: Apr 17, 2013 by KA
  • BS-1064-50-1037-45S / Newport U100-A mount / 1"+2" Pedestal, Returned: Jan 17, 2013 by KA
  • BS-1064-50-1025-45P / Newport U100-A mount / 3/4" post + Base, Returned: Jan 17, 2013 by KA
  • BNC cable 21ft x2, Returned: Jan 17, 2013 by KA
  • SMA Cable 6ft


Another loan from the 40m on Nov 21th, 2012

  • Mounting Base Thorlabs BA-2 x 17
  • Mounting Posts (phi=3/4", L=2.65", normal x15, and 1/4"-20 variant x2)

Yet another loan from the 40m on Jan 16th, 2013

  • V-groove Mounting Bases Custom. Qty.2Returned: Feb 25, 2013 by KA

Loan from ATF

32.7MHz EOM+Tilt aligner
Thorlabs Broadband EOM+Tilt aligner
Forks x 5Returned: Feb 25, 2013 by KA
JWIN Camera x 2

  355   Thu Apr 25 15:05:19 2019 JoeOpticsCharacterizationLooking at PZT HOM spacing dependance and thinking about workflow

[koji, joe]

The template or glass breadboard was wobbling, and we noticed that the caivty alignment became worse/better when it was pressed down. We saw that it was the glass breadboard, so it was fixed into the transport fixture more securely. Now its alignement didn't change when it was pressed down. We took a pzt mirror out and replaced it, the alignment din't change much so that was good. We set up posts to hold the pzt wires.

We noticed that the bottom of the mirrors were dirty, so we cleaned them, and once we were happy with the newton rings, we aligned the cavity

Took a photo of CM2, the spot is maybe 1 beam diameter vertically and horizontally from the centre, and quite a bright spot could be seen. The same problem with CM1. We thought it would be good to see a measurement of higher order mode spacing dependence on PZT DC voltage rather than doing the full characterisation since the alignment seems to change quite a lot when ever we do anything, and this cavity arrangement probably isn't very good anyway (can see scattering on both curved mirrors with the IR camera). 

did measurements of FSR, = 2.64835MHz

did HOM spacing for 0,75,150V on CM1 in pitch and yaw.

we want to come up with a work flow for how to do these measurements, and make automate parts of the analysis?


  94   Thu Apr 4 00:35:42 2013 ZachOpticsConfigurationMMT installed on breadboard, periscope built

[Koji, Zach]

We installed the MMT that matches the fiber output to the OMC on a 6"x12" breadboard. We did this so that we can switch from the "fauxMC" (OMC mirrors arranged with standard mounts for practice locking) to the real OMC without having to rebuild the MMT.

The solution that Koji found was:

z = 0: front face of the fiber output coupler mount

z = 4.8 cm: f = 35mm lens

z = 21.6 cm: f = 125mm lens

This should place the waist at z ~ 0.8 m. Koji has the exact solution, so I will let him post that.

The lenses are on ±0.5" single-axis OptoSigma stages borrowed from the TCS lab. Unfortunately, the spacing between the two lenses is very close to a half-integer number of inches, so I had to fix one of them using dog clamps instead of the screw holes to preserve the full range.

Koji also built the periscope (which raises the beam height by +1.5") using a vertical breadboard and some secret Japanese mounts. Part of it can be seen in the upper left corner of the photo below---sorry for not getting a shot of it by itself.


  183   Mon May 12 22:43:02 2014 KojiOpticsCharacterizationMeasured FSR/TSM of the OMC cavity

Data analysis of the FSR/TSM measruement last week.

1. FSR was measured with "the golden arches" technique.

FSR = 263.0686 MHz +/- 900Hz

Lcav = 1.1396 m --> 7.6 mm too long! (nominal 1.132m)

2. Transverse mode spacings for the vertical and horizontal modes were measured.

TMS/FSR = 0.219366 (V) / 0.220230 (H) (Predicted value with the current cavity length 0.2196/0.2202 very close!)

We want to make this to be ~0.219 (~3% less)

With the current parameters, the 19th-order lower sideband make the coincident resonance.

  96   Thu Apr 4 01:43:06 2013 KojiOpticsCharacterizationMirror T measurement

[Zach, Koji]

The measurement setup for the transmission measurement has been made at the output of the fiber.

- First, we looked at the fiber output with a PBS. It wasn't P-pol so we rotated the ourput coupler.
  What we found was that it wasn't actually linearly polarized.
  So the input coupler was rotated to correct it. This terribly misaligned the input coupling.
  After some iteration of rotating and aligning the input/output couplers, we obtained reasonable
  extiction ratio like 10mW vs 100uW (100:1) with 11mW incidence. (Where is the rest 0.9mW!?)

- The P-pol (transmission) out of PBS goes into the mirror. Here we tested mirror A1.
  The mirror is mounted on the prism mount supported by a rotational stage for precise angle adjustment
  We limited the input power down to 5mW so that we can remove the attenuator on the power meter.
  The reading of the power meter was fluctuating, indeed depending on MY position.
  So we decided to turn off the lighting of the room. This made the reading very stable.

  The offset of the power meter was -0.58uW

  The transmitted power for the normal incidence was 39.7uW with the incident 4.84mW.
  [39.7-(-0.58)] / [4.84*1000-(-0.58)] *10^6 = 8320 ppm

  The transmitted power for the 4deg incidence was 38.0uW with the incident 4.87mW.
  [38.0-(-0.58)] / [4.87*1000-(-0.58)] *10^6 = 7980 ppm

 cf. The specification is 7931ppm


  40   Sat Nov 17 02:31:34 2012 KojiOpticsCharacterizationMirror T test

Mirror T test

The mirror was misaligned to have ~2deg incident (mistakenly...) angle.

C1: Ptrans = 7.58uW, Pinc = 135.0mW => 56.1ppm

C1 (take2): Ptrans = 7.30uW, Pinc = 134.4mW => 54.3ppm

C2: Ptrans = 6.91uW, Pinc = 137.3mW => 50.3ppm

C3: Ptrans = 6.27uW, Pinc = 139.7mW => 44.9ppm

C4: Ptrans = 7.62uW, Pinc = 139.3mW => 54.7ppm

C5: Ptrans = 6.20uW, Pinc = 137.5mW => 45.1ppm

A1: Ptrans = 1.094mW, Pinc = 133.6mW => 8189ppm

  91   Mon Apr 1 18:17:01 2013 KojiOpticsGeneralMirror curvature center test

Locations of the curvature minimum on the OMC curved mirrors have been measured.


When a curved mirror is misaligned, the location of the curvature center is moved.
Particularly, our OMC mirror is going to be attached on the PZT and the mounting prism with the back surface of the mirror.
This means that a curved mirror has inherent misalignment if the curvature minimum of the curved mirror is shifted from the center of the mirror.
Since we have no ability to control mirror pitch angle once it is glued on the prism, the location of the curvature minima
should be characterized so that we can oush all of the misalignment in the horizontal direction.

Measurement technique:

When a curved mirror is completely axisymmetric (in terms of the mirror shape), any rotation of the mirror does not induce change on the axis of the refected beam.
If the curvature minimum is deviated from the center of the mirror, the reflected beam suffer precession. As we want to precisely rotate the mirror, we use the gluing
fixture for the PZT assembly. In this method, the back surface of the curved mirror is pushed on the mounting prism, and the lateral position of the mirror is precisely
defined by the fixture. As you rotate the mirror in clockwise viewing from the front, the spot moves in counter clockwise on the CCD.



Setup and procedure:

The mounting prism (#21) is placed on the gluing fixture. A curved mirror under the test is loaded in the fixture with no PZT.
i.e. the back surface is aligned by the mounting prism. The fixing pressure is applied to the curved mirror by the front plate
with spring loads. The mirror needs be pushed from the top at least once to keep its defined position in the fixture.
The incident beam is slightly slated for the detection of the reflected spot. The beam is aligned and hits the center of the mirror as much as possible.


The position of the spot on the CCD (WinCamD) is recorded, while the mirror is rotated 90deg at once. The rotation of the mirror is defined as shown in the figure below.
The angle origin is defined by the arrow mark of the mirror and rotated in clockwise being viewed from the front face. The mirror is rotated 540deg (8points) to check
the reproducibility.


Measurement result:

8 point for each mirror is fitted by a circle. The fitting result provides the origin and radius of the circle, and the angle correspond to mirror angle of 0deg.


d: distance of the curvature minimum and the mirror center (quantity to be delived)

D: distance of the prove beam spot from the center of the mirror

R: Radius of curvature of the mirror

theta_R: angle of incidence/reflection




The interesting consequence is that precession diameter (X-X') on the CCD does not depend on the spot position on the mirror.
This ensures the precision of the measurement. In the measurement, the radius of the precession (r = (X-X')/2) is obtained.


d = r R / (2 L)

Mirror name, distance[mm]
C1: 0.95
C3: 1.07
C4: 1.13
C5: 0.97
C6: 0.73
C7: 1.67
C8: 2.72
C9: 1.05
C10: 0.41
C11: 0.64
C12: 0.92
C13: 0.14

The angle to be rotated is depicted in the following plot for each mirror.


  113   Tue Apr 16 09:43:58 2013 KojiOpticsConfigurationMirror list for L1OMC


Cavity Mirrors

FM1 (input coupler): A8
FM2 (output coupler): A7
CM1 (curved mirror close to FM1): C6
CM2 (curved mirror close to FM2): C5

DCPD path

BS3 (BS for DCPDs): B5 B7

QPD path

BS1 (input steering): E10
SM1 (steering mirror next to BS1): E12
BS2 (BS for QPD path): B3
SM2 (steering mirror next to BS2): E4
SM3 (steering mirror next to SM2): E16


  151   Fri Aug 16 15:31:17 2013 KojiOpticsConfigurationMirror list for OMC(002)


Cavity Mirrors

FM1 (input coupler): A9
FM2 (output coupler): A13
CM1 (curved mirror close to FM1): C9 (PZT ASSY #6 /  M6 /PZT21/C9)
CM2 (curved mirror close to FM2): C4 (PZT ASSY #4 / M11/PZT25/C4)

DCPD path

BS3 (BS for DCPDs): B10

QPD path

BS1 (input steering): E3
SM1 (steering mirror next to BS1): E5
BS2 (BS for QPD path): B9
SM2 (steering mirror next to BS2): E1
SM3 (steering mirror next to SM2): E2




  101   Mon Apr 8 11:29:08 2013 KojiOpticsCharacterizationMirror/PZT Characterization links
  179   Fri Feb 28 19:50:11 2014 KojiGeneralGeneralMisalignment ABCD matrix for the aLIGO OMC

Relationship between mirror misalignment and cavity mode shift was calculated.
The technique described in T0900647 by Sam Waldman was used.

The angles and displacement of the mirrors and beams are defined in the attached figure.

x1 = 0.893134 α + 1.10676 β + 1.32252 γ + 1.24619 δ
𝛳1 = 0.75864 α - 0.75864 β - 0.271075 γ + 0.271075 δ

x2 = 1.10676 α + 0.893134 β + 1.24619 γ + 1.32252 δ
𝛳2 = 0.75864 α + 1.24136 β - 0.271075 γ + 0.271075 δ

x3 = 1.32252 α + 1.24619 β + 1.1691 γ + 1.39962 δ
𝛳3 = -0.271075 α + 0.271075 β + 0.818668 γ - 0.818668 δ

x4 = 1.24619 α + 1.32252 β + 1.39962 γ + 1.1691 δ
𝛳4 = -1.24136 α - 0.75864 β - 0.271075 γ + 0.271075 δ

Assuming the flat mirrors are fixed:
If I want to move the x3 mirror up by 1mm without moving x4, the solution is
γ = -0.00197 mrad
δ = +0.00236 mrad

This yields:
x1 = +0.33mm, x2=+0.66mm, x3 = +1mm, x4 = 0mm

  216   Tue Aug 5 13:03:25 2014 KojiGeneralGeneralMissing cable components

DCPD Connector Face: Qty2 https://dcc.ligo.org/LIGO-D1201276
QPD Connector Face: Qty2 https://dcc.ligo.org/LIGO-D1201282

PD faster: 92210A07 Qty 4: MCMASTER #2-56 x .25 FHCS

Spare DCPD

  95   Thu Apr 4 01:35:04 2013 KojiOpticsCharacterizationMode matching to the OMC cavity

The fiber output was matched with the lenses on a small bread board.
The detailed configuration is found in the following elog link.


  8   Wed Jul 18 23:20:13 2012 KojiOpticsCharacterizationMode scan results of ELIGO

Nic Smith sent me a bunch of elog lists where the results of the mode scan can be found.

From Nic:

There have been many mode scan analyses done at LLO:

We didn't do as much of this at LHO. At some point we were trying to figure out how the arm cavity mode was different from the carrier mode:


Here's a long mode scan that was done, and the data is attached to the elog, but none of the amplitudes are analyzed.

  305   Wed Aug 8 17:32:56 2018 Rich AbbottGeneralCharacterizationModulation Index Test Setup at 40m Lab

Attached is a block diagram of the test setup used in the 40m lab to measure the modulation index of the IO modulator

  306   Thu Aug 9 11:24:29 2018 KojiGeneralCharacterizationModulation Index Test Setup at 40m Lab

[Rich Koji]

The impedances of the new LLO EOM were measured with the beat note setup at the 40m PSL (as described in the previous ELOG entry.

At the target frequencies (9.1MHz, 24.1MHz, 45.5MHz, 118.3MHz), the modulation responses were (0.09, 2.9e-3, 0.053, 0.021) rad/V.

This corresponds to the requirement for the driving power as follows.

modulation depth 
required (LHO) [rad]
drive [Vpk]
drive [dBm]
    9.1 0.09 0.22 2.4 17.8
  24.1 2.9e-3   0.014 4.8 23.7
  45.5   0.053 0.28 5.3 24.5
118.3   0.021   0.010   0.48   3.6


  308   Sun Sep 23 19:42:21 2018 KojiOpticsGeneralMontecarlo simulation of the phase difference between P and S pols for a modeled HR mirror

[Koji Gautam]

With Gautam's help, I ran a coating design code for an HR mirror with the standard quarter-wave design. The design used here has 17 pairs of lambda/4 layers of SiO2 and Ta2O5 (=34 layers) with the fused silica as the substrate to realize the transmission of tens of ppm. At the AOI (angle of incidence) of 4 deg (=nominal angle for the aLIGO OMC), there is no significant change in the reflectivity (transmissivity). With 95% of the case, the phase difference at the AOI of 4 deg is smaller than 0.02 deg for given 1% fluctuation (normal distribution) of the layer design and the refractive indeces of the materials. Considering the number of the OMC mirrors (i.e. 4), the total phase shift between P and S pols is less than 0.08 deg. This makes P and S resonances matched well within 1/10 of the cavity resonant width (360/F=0.9deg, F: Finesse=400).

Of course, we don't know how much layer-thickness fluctuation we actually have. Therefore, we should check the actual cavity resonance center of the OMC cavity for the polarizations.

Attachment 1 shows the complex reflectivity of the mirror for P and S pols between AOIs of 0 deg and 45 deg. Below 30 deg there is no significant difference. (We need to look at the transmission and the phase difference)

Attachment 2 shows the power transmissivity of the mirror for P and S pols between AOIs of 0 deg and 45 deg. For the purpose to check the robustness of the reflectivity, random fluctuations (normal distribution, sigma = 1%) were applied to the thicknesses of each layer, and the refractive indices of Silica and Tantala. The blue and red bands show the regions that the 90% of the samples fell in for P and S pols, respectively. There are median curves on the plot, but they are not well visible as they match with the ideal case. This figure indicates that the model coating well represents the mirror with the transmissivity better than 70ppm.

Attachment 3 shows the phase difference of the mirror complex reflectivity for P and S pols between AOIs of 0deg and 45deg. In the ideal case, the phase difference at the AOI of 4deg is 1x10-5 deg. The Monte-Carlo test shows that the range of the phase for 90% of the case fell into the range between 5x10-4 deg and 0.02 deg. The median was turned to be 5x10-3 deg.

Attachment 4 shows the histogram of the phase difference at the AOI of 4deg. The phase difference tends to concentrate at the side of the smaller angle.

  309   Thu Sep 27 20:19:15 2018 AaronOpticsGeneralMontecarlo simulation of the phase difference between P and S pols for a modeled HR mirror

I started some analytic calculations of how OMC mirror motion would add to the noise in the BHD. I want to make some prettier plots, and am adding the interferometer so I can also compute the noise due to backscatter into the IFO. However, since I've pushed the notebook I wanted to post an update. Here's the location in the repo.

I used Koji's soft limit of 0.02 degrees additional phase accumulation per reflection for p polarization.

  310   Thu Nov 1 19:57:32 2018 AaronOpticsGeneralMontecarlo simulation of the phase difference between P and S pols for a modeled HR mirror

I'm still not satisfied/done with the solution to this, but this has gone too long without an update and anyway probably someone else will have a direction to take it that prevents me spinning my wheels on solved or basic questions.

The story will have to wait to be on the elog, but I've put it in the jupyter notebook. Basically:

  • I considered the polarization-separated OMC in several configurations. I have plots of DARM referred noise (measured free-running and controlled noise for the current OMC, thermal theoretical noise curve, scattered light) for the case of such an OMC with one lambda/2 waveplate oriented at 45 degrees. This is the base case.
  • I also considered such an OMC with a lambda/2 both before and after the OMC, where their respective polarization axes can be arbitrary (I look at parameter space near the previous case's values).
    • I optimize the BHD angle to balance the homodyne (minimize the E_LO^2 term in the homodyne readout).
    • I then optimize the rotations of the lambda/2 polarization axes to minimize the noise
    • For the optimum that is closest to the base case, I also plotted DARM referred length noise.


It's clear to me that there is a way to optimize the OMC, but the normalization of my DARM referred noise is clearly wrong, because I'm finding that the input-referred noise is at least 4e-11 m/rt(Hz). This seems too large to believe. 

Indeed, I was finding the noise in the wrong way, in a pretty basic mistake. I’m glad I found it I guess. I’ll post some plots and update the git tomorrow. 

  100   Mon Apr 8 11:11:37 2013 KojiOpticsCharacterizationMore Mirror T measurement

More Ts of the mirrors were measured.

A mirror specification:
Request: 8300+/-800 ppm
Data sheet: 7931ppm

C mirror specification:
Request: 50+/-10 ppm
Data sheet: 51.48ppm or 46.40ppm


Mirror | P_Incident P_Trans  P_Offset | T_trans
       | [mW]       [uW]     [uW]     | [ppm]
A1     | 10.28    82.9       -0.205   | 8.08e3
A2     | -----     -----     ------   | ------
A3     | 10.00    83.2       -0.205   | 8.34e3
A4     | 10.05    80.7       -0.205   | 8.05e3
A5     |  9.94    81.3       -0.205   | 8.20e3
A6     | 10.35    78.1       -0.205   | 7.57e3
A7     | 10.35    77.8       -0.205   | 7.54e3
A8     | 10.30    78.0       -0.205   | 7.60e3
A9     | 10.41    84.1       -0.205   | 8.10e3
A10    | 10.35    77.3       -0.205   | 7.49e3
A11    | 10.33    77.9       -0.205   | 7.56e3
A12    | 10.34    78.7       -0.205   | 7.63e3
A13    | 10.41    85.4       -0.205   | 8.22e3
A14    | 10.34    84.4       -0.205   | 8.18e3
C1     | 10.30     0.279     -0.225   | 48.9
C2     | -----     -----     ------   | ------
C3     | 10.37     0.240     -0.191   | 41.6
C4     | 10.35     0.278     -0.235   | 49.6
C5     | 10.40     0.138     -0.235   | 35.9 => PZT assembly #2
C6     | 10.34     0.137     -0.235   | 36.0 => PZT assembly #1
C7     | 10.37     0.143     -0.229   | 35.9
C8     | 10.41     0.224     -0.237   | 44.3
C9     | 10.36     0.338     -0.230   | 54.8
C10    | 10.39     0.368     -0.228   | 57.4
C11    | 10.38     0.379     -0.209   | 56.6
C12    | 10.28     0.228     -0.238   | 45.3
C13    | 10.36     0.178     -0.234   | 39.8


  42   Mon Nov 26 01:40:00 2012 KojiOpticsCharacterizationMore RoC measurement

C1: RoC: 2.57845 +/− 4.2e−05m

C2: RoC: 2.54363 +/− 4.9e−05m

C3: RoC: 2.57130 +/− 6.3e−05m   

C4: RoC: 2.58176 +/− 6.8e−05m

C5: RoC 2.57369 +/− 9.1e−05m


==> 2.576 +/- 0.005 [m] (C2 excluded)

  182   Thu Apr 17 21:39:25 2014 KojiOpticsGeneralMore alignment


- The cavity mirrors have scattering spots. The cavity alignment should have been scanned to find a cavity mode to have lowest loss possible.
  BTW, We only have horizontal dof for the alignment scan.

- After some struggle nice cavity mode was found. The cavity transmission was 96% for the ideally matched TEM00 carrier.

- It turned out that this imposed too much beam shift in the input beam (~2mm).

- This big shift induces a lot of trouble for the peripheral optics (PDs, QPDs, sterring mirrors).

- What should we do???


- The beam needed to go up between CM1 and CM2 to have the right spots on them. ("UP" is the input side of the OMC).

- This imposed the beam between FM1 and FM2 moved up. In other word, for the given alignment of the FMs by the template,
  We needed to hit the upper part of the FMs to have the spots on the CMs up.


- The above argument suggets that the nominal beam will give us the right spots on the CMs if we rotate the FMs.
  Of course this induces the spot move on the FMs. But this should not be the issue as the most of the loss seems to come from the CMs.

- How much misalignment show we give to the FMs? We want to shift the beam by 2mm on the CMs.
  The length of the optical lever is ~0.25m. Therefore the mialignment angle should be

  theta = 2e-3/2/0.25 = 4e-3 rad = 4mrad.

  The template pad has ~20mm separation. The thickness of the shim should be 20mm*4mrad = 80um

- Our aluminum foil seems to have the thickness of 30-40um. We can't have this minimum thickness on the template pad as there is not enough compression pressure
  => Just use a single layer of Al piece to shim the FMs.


- The shims were inserted at the upper pads of the FMs.

- Aligned the input beam and the CMs so that the spots on the CMs are approximately recovered.

- Measure the cavity power budget

Pin: 34.7mW
Refl PD: offset = -7.5mV, unlock = 6.07V, inlock = 89.7mV

Ptrans = 32.5mW

Ptrans(CM2) = 0.181mW
Ptrans(CM2) = 0.184mW

Assume finesse of 400


Pin: 34.7mW
Pjunk: 0.534mW
Pcoupled: 34.1mW

Mode matching: 98.5%

Cavity reflectivity in power: 0.00061
Cavity transmission in power: 0.951 (This is not a best number but acceptable.)
Loss per mirror: 75.4ppm

FM power refl/trans: 0.9923 / 7630ppm
CM1 power refl/trans: 0.999882 / 42.8ppm
CM2 power refl/trans: 0.999881 / 43.5ppm
Total roundtrip loss of the cavity (Loss + CM leakage): 388ppm


How much the input beam is away from the left wall of the OMC breadboard?

40.88mm from the template edge
  8.36mm between the template edge and the bread board
=> 32.52mm

How much should this number be? 32.94mm from the solidworks model => With in 0.5mm! Nice!


- Just in case plce all of the optics and check if the beam is delivered within the alignment range of the optics


  260   Tue Apr 5 21:20:15 2016 KojiElectronicsCharacterizationMore dark noise measurement

All survived PDs have been measured.

  64   Wed Feb 27 18:18:48 2013 KojiOpticsConfigurationMore perpendicularity test

Mounting Prisms:
(criteria: 30arcsec = 145urad => 0.36mm spot shift)
SN  Meas.(div) ArcSec Spec.
10   0.3989    11.97   29    good
11   0.2202     6.60   16
16   0.1907     5.72    5
20  -0.591    -17.73    5
21  -2.378    -71.34   15

21  -1.7      -51.     15
01  -0.5      -15.     52
02  -2.5      -75.     48
06  -1.0      -30.     15
07   1.7       51.     59
12  -2.2      -66.     40
13  -0.3      - 9.     12
14  -2.8      -84.     27
15  -2.5      -75.     50
17   0.7       21.     48
22   2.9       87.    

Mirror A:
A1  -0.5      -15.     NA    good
A3   0.5       15.     NA
A4   0.9       27.     NA
A5   0.4       12.     NA
A6   0.1        3.
    NA    good
A7   0.0        0.
    NA    good
A8   0.0       
0.     NA    good
A9   0.0       
0.     NA    good
A10  1.0      
30.     NA    good
A11  0.3       
9.     NA    good
A12  0.1       
3.     NA    good
A13  0.0       
0.     NA    good
A14  0.6      
18.     NA    good

Mirror B:
B1  -0.9     
-27.     NA    good
B2  -0.6     
-18.     NA    good
B3  -0.9     
-27.     NA    good
B4   0.7      
21.     NA    good
B5  -1.1     
-33.     NA
B6  -0.6     
-18.     NA    good
B7  -1.8     
-54.     NA
B8  -1.1     
-33.     NA
B9   1.8      
54.     NA
B10  1.2       
36.     NA   
B11 -1.7     
-51.     NA
B12  1.1       
33.     NA

  65   Fri Mar 1 23:06:15 2013 KojiOpticsConfigurationMore perpendicularity test final

Perpendicularity of the "E" mirror was measured.

Mounting Prisms:
(criteria: 30arcsec = 145urad => 0.36mm spot shift)
SN  Meas.(div) ArcSec Spec.
10   0.3989    11.97   29    good
11   0.2202     6.60   16
16   0.1907     5.72    5
20  -0.591    -17.73    5
21  -2.378    -71.34   15

21  -1.7      -51.     15
01  -0.5      -15.     52
02  -2.5      -75.     48
06  -1.0      -30.     15
07   1.7       51.     59
12  -2.2      -66.     40
13  -0.3      - 9.     12
14  -2.8      -84.     27
15  -2.5      -75.     50
17   0.7       21.     48
22   2.9       87.    

Mirror A:
A1  -0.5      -15.     NA    good
A3   0.5       15.     NA
A4   0.9       27.     NA
A5   0.4       12.     NA
A6   0.1        3.
    NA    good
A7   0.0        0.
    NA    good
A8   0.0       
0.     NA    good
A9   0.0       
0.     NA    good
A10  1.0      
30.     NA    good
A11  0.3       
9.     NA    good
A12  0.1       
3.     NA    good
A13  0.0       
0.     NA    good
A14  0.6      
18.     NA    good

Mirror B:
B1  -0.9     
-27.     NA    good
B2  -0.6     
-18.     NA    good
B3  -0.9     
-27.     NA    good
B4   0.7      
21.     NA    good
B5  -1.1     
-33.     NA
B6  -0.6     
-18.     NA    good
B7  -1.8     
-54.     NA
B8  -1.1     
-33.     NA
B9   1.8      
54.     NA
B10  1.2       
36.     NA   
B11 -1.7     
-51.     NA
B12  1.1       
33.     NA

Mirror E:
E1  -0.8      -24.     NA    good
E2  -0.8      -24.    
NA    good
E3  -0.25     - 7.5   
NA    good
E4  -0.5      -15.     NA
E5   0.8       24.     NA    good
E6  -1.0      -30.     NA
E7  -0.2      - 6.     NA
E8  -0.8      -24.     NA
E9  -1.0      -30.     NA
E10  0.0        0.     NA
E11 -1.0      -30.     NA
E12 -0.3      - 9.     NA
E13 -0.8      -24.     NA
E14 -1.0      -30.     NA    good
E15 -1.2      -36.     NA

E16 -0.7      -21.     NA
E17 -0.8      -24.     NA
E18 -1.0      -30.     NA

  243   Thu Sep 10 04:03:42 2015 KojiOpticsCharacterizationMore polarizer optics measurement (Summary)

Brewster calcite PBS (eLIGO Squeezer OFI)

Loss L = 3600 +/- 200ppm
Angular dependence: Attachment 1

In the first run, a sudden rise of the loss by 1% was observed for certain angles. This is a repeatable real loss.
Then the spot position was moved for the second run. This rise seemed disappeared. Is there a defect or a stria in the crystal?

Wave plate (eLIGO Squeezer OFI?)

Loss L = 820 +/- 160ppm
Angular dependence: Attachment 2

Initially I had the similar issue to the one for the brewster calcite PBS. At the 0 angle, the loss was higher than the final number
and high asymmetric loss (~2%) was observed in the negative angle side. I checked the wave plate and found there is some stain
on the coating. By shifting the spot, the loss numbers were significantly improved. I did not try cleaning of the optics.

The number is significantly larger than the one described in T1400274 (100ppm).

Thin Film Polarlizer (aLIGO TFP)

Loss L = 3680 +/- 140ppm @59.75 deg
Angular dependence: Attachment 3

0deg was adjusted by looking at the reflection from the TFP. The optics has marking saying the nominal incident angle is 56deg.
The measurement says the best performance is at 59.75deg, but it has similar loss level between 56~61deg.

Glasgow PBS

It is said by Kate that this PBS was sent from Glasgow.

Loss L = 2500 +/- 600ppm
Angular dependence: Attachment 4


  244   Wed Sep 23 17:49:50 2015 KojiOpticsCharacterizationMore polarizer optics measurement (Summary)

For the Glasgow PBS, the measurement has been repeated with different size of beams.
In each case, the PBS crystal was located at around the waist of the beam.
Otherwise, the measurement has been done with the same way as the previous entries.

Beam radius [um]  Loss [ppm]
 160              5000 +/-  500
 390              2700 +/-  240
1100              5300 +/-  700
1400              2500 +/-  600 (from the previous entry)
2000              4000 +/-  350

  35   Thu Nov 8 13:24:53 2012 KojiOpticsCharacterizationMore wedge measurement

Horiz Wedge    0.497    +/-    0.004 deg
Vert Wedge      0.024    +/-    0.004 deg

Horiz Wedge    0.549    +/-    0.004 deg
Vert Wedge      0.051    +/-    0.004 deg

Horiz Wedge    0.463    +/-    0.004 deg
Vert Wedge      0.009    +/-    0.004 deg

Horiz Wedge    0.471    +/-    0.004 deg
Vert Wedge      0.019    +/-    0.004 deg

Horiz Wedge    0.458    +/-    0.004 deg
Vert Wedge      0.006    +/-    0.004 deg

  116   Thu Apr 18 11:43:59 2013 KojiGeneralGeneralMounting Glass Bracket Failure

[Jeff, Koji]

- While we were working on the optics alignment, one of the mounting brackets made of glass god tore apart into two when a holding screw was removed.
The glass component had a crack at the very middle of the part.

- We borrowed a setup for photoelastisity measurement from Garilynn. This is a set of polarizer configured to have cross polarization. If there is no photoerastisity
the image is colored in blue (somehow). When the polarization is rotated, the color is changed in red, yellow, or white.

- The cross polarizer was tested with a polycarbonate face shield for the UV protection. It seems doing its job.

- We took a set of photos to see any residual stress in a block. The entire inside of the channel is frosted glass so the technique didn't yield much.
In one orientation we did see stress near the ends but the orientation didn't allow us to see exactly where.

- We had 30 brackets and one OMC requires ten of them. This means that there was no spare and now we don't have enough.
  So we decided to spend more as test pieces.

- We tested three scenarios this afternoon. In all three cases both screws were snugged (estimate 0.5 in*lb) before torquing by a torque wrench with a dial meter.
  The divisions on the dial of the wrench are 1 in*lb. We were not so confident in the exact measurement but we felt good about the repeatability of the values.

  1. Duplicated the original mounting with the chamfers of the PEEK bar facing into the channel. Cracked as the torque wrench read 1 in*lb.
      Crack initiation at the first screw, starting along the longitudinal centerline.

  2. Turned the nut bar over so the flat side faced into the channel. Successfully torqued both screws to 1 in*lb and removed them.

  3. With a razor blade, made fairly large reliefs (countersinks) around the holes in the PEEK. Successfully torqued both screws first to 1 in*lb then 1.5 in*lb.
      The block did crack (again at the screw along the centerline) when the torque was ~1.9 in*lb.

It occurs to us that we need micro-compliance AND structural rigidity to distribute the load. The PEEK bars are small and particularly thin where the #4-40 helicoil holes are.
The load is probably concentrated way too much at the holes because it is too weak. Perhaps a good solution, among others, would be to use an aluminum nut plate
with a thin (.02") kapton or viton layer to give the micro-compliance. Additionally, a kapton layer could be used between the block and the aluminum shim,
though this one is probably to be avoided so as to ensure rigidity of the bolted assembly to the bench. Lastly, the nut bar should be shaped such that the area
around the holes and the end of the channel (pretty much the same area) are less stressed than the center portion. 

After the discussion with Peter and Dennis, we decided to reinforce the bonded glass piece with invar shims.
Each shim will be threaded such that we don't need to stress the glass piece any more. EP30-2 will be used as the glue.

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