Estimate of force coupling between charged optic face and optic cage

Document #:

LIGO-G1401179-v3

Document type:

G - Presentations (eg Graphics)

Abstract:

simple matlab calc of the force and dForce/dx caused by uniform charge on optic face and the image charge in the metal cage near the optic

Files in Document:

• G1401179-charged_optic_face-v3.pdf (11.9 MB)

Other Files:

• G1401179-charged_optic_face-v3.key (4.7 MB)

Topics:

• Core Optics
• Suspensions
• Modelling
• Seismic Isolation
• Basic R&D

Authors:

• Brian Lantz

Keywords:

SUS charge image optic coupling

Notes and Changes:

-v3 update has correct charge density of 2e-6 C/m^2 on pg 1 instead of 2e6 C/m^2.

Den did a quick measurement at LLO on Sept 30, 2014. At that time he says that the coupling is small enough to not be seen. LLO log entry 14869
https://alog.ligo-la.caltech.edu/aLOG/index.php?callRep=14869

Related Documents:

• LIGO-T080214: Simple Calculations for Charge Noise for Advanced LIGO
• LIGO-D060454: ADVANCED LIGO, SUS, QUAD LOWER STRUCTURE
• LIGO-T1500467: Actuation force of the ESD with charges and cage effects

Referenced by:

• LIGO-T1100332-v1: Surface charge control of the Advanced LIGO mirrors using externally introduced ions