date: 2020-12-30T00:30:32Z pdf:unmappedUnicodeCharsPerPage: 18 pdf:PDFVersion: 1.7 pdf:docinfo:title: Applying Differential Wave-Front Sensing and Differential Power Sensing for Simultaneous Precise and Wide-Range Test-Mass Rotation Measurements xmp:CreatorTool: LaTeX with hyperref package Keywords: differential wave-front sensing; differential power sensing; deep frequency modulation interferometry; test-mass readout; torsion balance access_permission:modify_annotations: true access_permission:can_print_degraded: true subject: We propose to combine differential wave-front sensing (DWS) and differential power sensing (DPS) in a Mach-Zehnder type interferometer for measuring the rotational dynamics of a test-mass. Using the DWS method, a high sensitive measurement of 6 nrad Hz-1/2 in sub-Hz frequencies can be provided around the test-mass nominal position (0.11 mrad), whereas the measurement of a wide rotation range (5 mrad) is realized by the DPS method. The interferometer can be combined with deep frequency modulation (DFM) interferometry for measurement of the test-mass translational dynamics. The setup and the resulting interferometric signals are verified by simulations. An optimization algorithm is applied to find suitable positions of the lenses and the waist size of the input laser in order to determine the best trade of between the slope of DWS, dynamic range of DPS, and the interferometric contrast. Our simulation further allows to investigate the layout for robustness and design tolerances. We compare our device with a recent experimental realization of a DFM interferometer and find that a practical implementation of the interferometer proposed here has the potential to provide translational and rotational test-mass tracking with state-of-the-art sensitivity. The simple and compact design, and especially the capability of sensing the test-mass rotation in a wide range and simultaneously providing a high-precision measurement close to the test-mass nominal position makes the design especially suitable for example for employment in torsion pendulum setups. dc:creator: Neda Meshksar, Moritz Mehmet, Katharina-Sophie Isleif and Gerhard Heinzel dcterms:created: 2020-12-30T00:25:47Z Last-Modified: 2020-12-30T00:30:32Z dcterms:modified: 2020-12-30T00:30:32Z dc:format: application/pdf; version=1.7 title: Applying Differential Wave-Front Sensing and Differential Power Sensing for Simultaneous Precise and Wide-Range Test-Mass Rotation Measurements Last-Save-Date: 2020-12-30T00:30:32Z pdf:docinfo:creator_tool: LaTeX with hyperref package access_permission:fill_in_form: true pdf:docinfo:keywords: differential wave-front sensing; differential power sensing; deep frequency modulation interferometry; test-mass readout; torsion balance pdf:docinfo:modified: 2020-12-30T00:30:32Z meta:save-date: 2020-12-30T00:30:32Z pdf:encrypted: false dc:title: Applying Differential Wave-Front Sensing and Differential Power Sensing for Simultaneous Precise and Wide-Range Test-Mass Rotation Measurements modified: 2020-12-30T00:30:32Z cp:subject: We propose to combine differential wave-front sensing (DWS) and differential power sensing (DPS) in a Mach-Zehnder type interferometer for measuring the rotational dynamics of a test-mass. Using the DWS method, a high sensitive measurement of 6 nrad Hz-1/2 in sub-Hz frequencies can be provided around the test-mass nominal position (0.11 mrad), whereas the measurement of a wide rotation range (5 mrad) is realized by the DPS method. The interferometer can be combined with deep frequency modulation (DFM) interferometry for measurement of the test-mass translational dynamics. The setup and the resulting interferometric signals are verified by simulations. An optimization algorithm is applied to find suitable positions of the lenses and the waist size of the input laser in order to determine the best trade of between the slope of DWS, dynamic range of DPS, and the interferometric contrast. Our simulation further allows to investigate the layout for robustness and design tolerances. We compare our device with a recent experimental realization of a DFM interferometer and find that a practical implementation of the interferometer proposed here has the potential to provide translational and rotational test-mass tracking with state-of-the-art sensitivity. The simple and compact design, and especially the capability of sensing the test-mass rotation in a wide range and simultaneously providing a high-precision measurement close to the test-mass nominal position makes the design especially suitable for example for employment in torsion pendulum setups. pdf:docinfo:subject: We propose to combine differential wave-front sensing (DWS) and differential power sensing (DPS) in a Mach-Zehnder type interferometer for measuring the rotational dynamics of a test-mass. Using the DWS method, a high sensitive measurement of 6 nrad Hz-1/2 in sub-Hz frequencies can be provided around the test-mass nominal position (0.11 mrad), whereas the measurement of a wide rotation range (5 mrad) is realized by the DPS method. The interferometer can be combined with deep frequency modulation (DFM) interferometry for measurement of the test-mass translational dynamics. The setup and the resulting interferometric signals are verified by simulations. An optimization algorithm is applied to find suitable positions of the lenses and the waist size of the input laser in order to determine the best trade of between the slope of DWS, dynamic range of DPS, and the interferometric contrast. Our simulation further allows to investigate the layout for robustness and design tolerances. We compare our device with a recent experimental realization of a DFM interferometer and find that a practical implementation of the interferometer proposed here has the potential to provide translational and rotational test-mass tracking with state-of-the-art sensitivity. The simple and compact design, and especially the capability of sensing the test-mass rotation in a wide range and simultaneously providing a high-precision measurement close to the test-mass nominal position makes the design especially suitable for example for employment in torsion pendulum setups. Content-Type: application/pdf pdf:docinfo:creator: Neda Meshksar, Moritz Mehmet, Katharina-Sophie Isleif and Gerhard Heinzel X-Parsed-By: org.apache.tika.parser.DefaultParser creator: Neda Meshksar, Moritz Mehmet, Katharina-Sophie Isleif and Gerhard Heinzel meta:author: Neda Meshksar, Moritz Mehmet, Katharina-Sophie Isleif and Gerhard Heinzel dc:subject: differential wave-front sensing; differential power sensing; deep frequency modulation interferometry; test-mass readout; torsion balance meta:creation-date: 2020-12-30T00:25:47Z created: 2020-12-30T00:25:47Z access_permission:extract_for_accessibility: true access_permission:assemble_document: true xmpTPg:NPages: 11 Creation-Date: 2020-12-30T00:25:47Z pdf:charsPerPage: 3820 access_permission:extract_content: true access_permission:can_print: true meta:keyword: differential wave-front sensing; differential power sensing; deep frequency modulation interferometry; test-mass readout; torsion balance Author: Neda Meshksar, Moritz Mehmet, Katharina-Sophie Isleif and Gerhard Heinzel producer: pdfTeX-1.40.18 access_permission:can_modify: true pdf:docinfo:producer: pdfTeX-1.40.18 pdf:docinfo:created: 2020-12-30T00:25:47Z