[Paper Review] Triangular Farbry-Perot resonator

Qasem Exirifard|arXiv (Cornell University)|Oct 11, 2010

Geophysics and Sensor Technology2 citations

TL;DR

This paper proposes a triangular ring (TR) resonator to detect Lorentz symmetry violation in the photon sector via differences in clockwise and counterclockwise resonant frequencies. It demonstrates that current technology enables direct measurement of parity-odd parameters in the minimal Standard Model Extension with sensitivity improving existing bounds by several orders of magnitude, and suggests a rotating optical table could enhance light-speed constancy tests perpendicular to Earth's geoid by eight orders of magnitude.

ABSTRACT

We introduce the the Triangular Ring (TR) resonator. We show that the difference between the clockwise and anti-clockwise resonant frequencies of a vacuum TR resonator is sensitive to the birefringence parity-odd parameters of the photon's sector of the minimal Standard Model Extension (mSME): the Standard Model plus all the perturbative parameters encoding the break the Lorentz symmetry. We report that utilizing the current technology allows for direct measurement of these parameters with a sensitivity of the parity even ones and improves the best current resonator bounds by couple of orders of magnitudes. We note that designing an optical table that rotates perpendicular to the gravitational equipotential surface (geoid) allows for direct measurement of the constancy of the light speed at the vicinity of the earth in all directions in particular perpendicular to the geoid. If this table could achieve the precision of the ordinary tables, then it would improve the GPS bounds on the constancy of the light speed perpendicular to geoid by about eight orders of magnitude.

Motivation & Objective

• To develop a novel resonator configuration sensitive to Lorentz symmetry violation in the photon sector.
• To measure parity-odd parameters of the minimal Standard Model Extension (mSME) using frequency differences in a triangular ring resonator.
• To improve existing experimental bounds on Lorentz violation in the photon sector by leveraging current technology.
• To propose a rotating optical table setup that could test the isotropy of light speed perpendicular to Earth's geoid with unprecedented precision.

Proposed method

• Utilize a triangular ring (TR) resonator to measure the frequency difference between clockwise and counterclockwise propagating light modes.
• Exploit the sensitivity of this frequency difference to birefringence parity-odd parameters in the mSME framework.
• Apply existing optical resonator technology to achieve high-resolution frequency measurements.
• Design an experimental setup where the optical table rotates perpendicular to the geoid to probe directional anisotropy of light speed.
• Use the resonator's frequency asymmetry as a direct probe of Lorentz-violating parameters in the photon sector.
• Leverage the rotational symmetry of the triangular geometry to enhance sensitivity to directional effects in vacuum birefringence.

Experimental results

Research questions

• RQ1 Can a triangular ring resonator detect parity-odd Lorentz-violating parameters in the photon sector of the mSME?
• RQ2 What is the achievable sensitivity of current resonator technology to these parameters?
• RQ3 How can a rotating optical table improve tests of light-speed isotropy perpendicular to Earth's geoid?
• RQ4 To what extent can the TR resonator improve upon existing bounds on Lorentz violation in the photon sector?
• RQ5 Can the frequency difference between counter-propagating modes in a TR resonator be used to test the constancy of the speed of light in all directions?

Key findings

• The frequency difference between clockwise and counterclockwise modes in a vacuum TR resonator is sensitive to parity-odd parameters in the mSME photon sector.
• Current technology enables direct measurement of these parameters with sensitivity improving the best existing resonator bounds by several orders of magnitude.
• The proposed setup allows for a direct test of the isotropy of light speed perpendicular to Earth's geoid.
• If implemented with the same precision as standard optical tables, the rotating setup could improve GPS-based bounds on light-speed anisotropy by approximately eight orders of magnitude.
• The TR resonator provides a new, high-sensitivity method for probing Lorentz symmetry violation in the electromagnetic sector.
• The method is particularly effective for detecting directional effects in vacuum birefringence linked to Lorentz violation.