Direct Fiber Positioning System

© 2022-2024, Kevan Hashemi, Open Source Instruments Inc.

Contents

Description
Glossary
Motivation
Progress
Links

Description

[09-OCT-24] Our Direct Fiber Positioning System (DFPS) uses the slight bending of a piezo-electric cylinder to displace an optical fiber at the end of a tube. Each fiber positioner consists of a cylindrical, piezo-electric actuator, a hollow tube that acts as a mast, and two or more optical fibers held in a ferrule at the tip of the mask. Accompanying the positioner are controller electronics that generate the actuator's ±250-V electrode voltages. One of the fibers is a guide fiber, which we use to determine the location of the mast tip. The remaining fibers are detector fibers, which we use to collect light from celestial objects. The DFPS provides one fiber positioner per 5 mm × 5 mm square area. The control electronics for each positioner fits beneath its 25 mm2 footprint. All positioners can be adjusted independently and simultaneously with no increase in power consumption. We can construct an array of eighty thousand positioners using the same fundamental design as we would use to construct an array of eighty fibers. Positioners share power and serial communication with their neighbors, so the number of electrical connections required by a large array of positioners remains small.


Figure: Sketch of Direct Fiber Positioner. We expect our 40-mm actuators to provide θ = ±5.6 mrad, x_p = ±110 μm, and x_f ≤ 1.8 mm.

During calibration of the DFPS, we measure the location of each detector fiber with respect to its guide fiber. A pair of fiber view cameras (FVCs) within the DFPS enclosure measure the location of every guide fiber. The guide fibers have a large emission cone, so the fiber view cameras can see the guide fiber tips. The detector fibers have a small acceptance angle, so they cannot see anything except the DFPS aperture. The tips of the guide and detector fibers are inj the same plane as four fiducial fibers with large emission cones and four image sensors. During calibration, we measure the position and orientation of the guide sensors with respect to the fiducial fibers. The FVCs measure the location of the detector fibers with respect the guide sensors to an accuracy of 10 μm rms. With reference stars focused onto the guide sensors, we can deduce the location of our detector fibers in the sky.


Figure: The Completed DFPS-4A with Cover Off, Seen from Above. Dimensions 90 cm × 34 cm × 20 cm. Fiber view cameras on the left. Fiduciual plate in center. Four masts visible through the protective cover. High-voltage control circuits on the right. Spectrograph output on lower-right. Fiducial and guide light injector lower center. Readout and control electronics, as well as high-voltage power supply, on upper side.

Our DFPS Manager allows a telescope control system to acquire and read out guide sensor images. The same manager program allows us to measure the locations of guide stars in the DFPS local coordinate system, and obtain the range and current position of the detector fibers. At intervals, the manager measures the locations of positioner masts and adjusts their actuator control voltages so as to move them closer to their target positions. With a ten-second interval, this control system drives all detector fibers to within 10 μm rms of their target positions in three minutes after a movement of four millimeters. With a sixty-second interval, the control system maintains position to within 10 μm rms indefinitely, compensating for creep in the piezo-electrica actuators and changing orienation during observing.


Figure: The DFPS-4A Closed with Flange and Collimation Tube During Calibration. For solid model see DFPS-4A_View.jpg. Enclosure dimensions 90 cm × 34 cm × 20 cm.

The DFPS is the front end of a multi-object spectrograph. The back end is a system of diffraction gratings, mirrors, lenses, and image sensors that creates and records the spectra of the light from each detector fiber. We are collaborating with the Astronomical Instrumentation Laboratory at Texas A&M University (TAMU), who have decades of experience making low-cost, sensitive spectrometers. We will mount the DFPS-4A on the 2-m Otto-Struve telescope at the McDonald Observatory on 11th October 2024 for five nights of observing. We hope to record spectra of celestial objects and demonstrate that we can control the masts continuously without disturbing observation. At the time of writing, the DFPS-4A is in Odessa, ready to be picked up tomorrow and transported to the observatory.

Our work on the DFPS between October, 2021 and April, 2023 was supported by a Phase I Small Business Initiative Research (SBIR) Grant, number 2111936, from the National Science Foundation.

Glossary

[09-OCT-24] We present the following glossary of terms.

TermMeaning
PositionerThe combination of an actuator, mast, and controller that together move the tip of a fiber.
ActuatorThe piezo-electric cylinder that bends when we apply voltage to its electrodes.
MastThe long tube that acts as a lever arm to turn the bending of the actuator into translation of the fiber tip.
FerruleA cylinder with a precision center hole that presents one or more polished fiber tips.
ControllerThe logic, converters, and amplifiers that generate a single actuator's four electrode voltages.
Base BoardThe printed circuit board that supports all the positioners of a single cell.
Service BoardThe printed circuit board that holds the fiber controllers for all the positioners of a single cell.
Detector CellA base board, its fibers, its positioners, its service board, and all its controllers.
Detector FiberA fiber used to capture and transport the light from a celestial object.
Guide FiberA fiber used to reveal the location of a detector fiber.
Dead ReckoningMoving a fiber to a desired position and keeping it there with no use of guide fibers.
Guide SensorAn image sensor at the edge of the positioner array that records the position of guide stars.
Fiducial FiberA fiber used to locate the positioner array with respect to celestial guide sensors.
Fiducial PlateThe metal frame that holds the guide sensors and fiducial fibers.
Fiber View CameraA camera looking down on the fiber tips.
Front EndThe multi-object detector: fibers, positioners, and the fiber view camera.
Back EndThe spectrometer itself: we plug the fibers into it and it records spectra.
Global CoordinatesA coordinate system defined by three balls on the base plate.
Frame CoordinatesA coordinate system defined by the front, lower-left corner of the fiducial plate.
Local CoordinatesA coordinate system offset from the frame coordinate origin, at the nominal center of mast positions.
Mast PositionThe position of the mast's guide fiber tip in local coordinates.
Detector PositionThe position of one of a mast's detector fibers in local coordinates.
Table Glossary of DFPS Terminology.

Each mast presents separate guide and detector fibers. The fiducial fibers are stationary fibers whose location we know with respect to the guide sensors.

Progress

[09-OCT-24] The DPFS-4A is based upon the eighty-positioner DFPS-80A we described in a rejected SBIR Phase II proposal. It provides only four positioners, but each positioner presents two detector fibers and one guide fiber.


Figure: Sketch of Self-Contained DFPS-80A Front-End. Each mast provides a guide and detector fiber. Two fiber view cameras measure the location of the guide fibers. Guide sensors and fiducial fibers sit in the focal plane next to the detector fibers. Yellow: guide fiber emission cone. Orange: detector fiber viewing cone. Blue: incoming celestial light cone.

The DFPS-4A moves and holds its detector fibers with 10-μm rms accuracy and stability. It overcomes the creep and hysteresis in the piezo-electric tube actuators by monitoring and adjusting the actuator control voltages. The range of each detector fiber is a square of side 3.5 mm, rotated at 45° with respect to the field of view of the fiber view cameras. The exact size of the dynamic range is not a source of great concern for us. The intended use of the DFPS is to permit each fiber to observe one object in each exposure in a sky survey, not to observe a particular object. According to our simulation, 40% coverage is perfectly adequate to permit a large-scale survey of the sky.


Figure: Fraction of Available Objects Observed Versus Fiber Range of Motion. We start with 2000 objects in a 50 mm × 100 mm focal plane. We move the telescope between each exposure and try to observe one object with every fiber. Obtained with our Observing.tcl simulation.

As detailed in our Development Log, the DFPS-4A is robust and accurate in our laboratory setting. We are looking forward to seeing how well it performs when mounted on a two-meter telescope in the coming week. The existing design can be expanded to eighty positioners with only minimal modifications.

User Manual: Instructions for using the DFPS-4A.

Development Log: Daily reports from 01-JAN-2022.

Base and Service Board (A3043): Combined base and service board for mounting fibers and controllers.

Auxiliary Circuits (A3044): Backplane, cell supports, and fiducial plate circuits.

Fiber Controller (A3045): Logic and amplifiers that generate control signals for actuators.

Fiber Positioner Circuits (A2089): Prototype circuits developed at Brandeis University for the DFPS.

Properties of Piezoelectric Tube Actuators: Study of the movement due to creep in piezo-electric tubes. Guadalupe Duran, Brandeis University, May 2020.

Direct Fiber Positioner System: A method to guide fifty thousand optical fibers. Kimika Arai, Brandeis University, May 2022.

SBIR Phase I Application: "A Novel Dense Fiber Array for Astronomical Spectroscopy", application to National Science Foundation (NSF) Small Business Innovation Research (SBIR) agency by Open Source Instruments Inc. Submitted 04-DEC-20, awarded 01-JAN-22, award number 2111936.

Phase I Final Report: Final report on work done during Phase I, submitted to NSF in March 2023.

SBIR Phase II Application: "A Novel Dense Fiber Array for Astronomical Spectroscopy", application to National Science Foundation (NSF) Small Business Innovation Research (SBIR) agency by Open Source Instruments Inc. Submitted 24-JUN-23, proposal 2334185.

SBIR Phase II Reviews: Reviews of our Phase II proposal, 20-DEC-23, proposal 2334185.

Focal Radio Degradation in Multi-Modal Optical Fibers: White paper, 2023.

Direct Positioning of 50,000 Optical Fibers: Poster presented at Snowmass, 2022.

Other Reports: Separate reports on aspects of the DFPS development.

//www.opensourceinstruments.com/DFPS/Reports">Other Reports: Separate reports on aspects of the DFPS development.