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Force to frequency conversion by intracavity photoelastic modulation.

W Holzapfel, W Settgast

|June 18, 2010

Summary

This study demonstrates a high-precision force-to-frequency conversion (FFC) method using laser cavities. The technique achieves excellent linearity and resolution, enabling sensitive force measurements.

Area of Science:

Optics and Photonics
Measurement Science and Instrumentation
Materials Science

Background:

The photoelastic effect in laser cavities offers a novel approach for force-to-frequency conversion (FFC).
Understanding laser-dependent nonlinearities and external force influences is crucial for accurate transduction.
Previous methods lacked the broad dynamic range and high resolution demonstrated here.

Purpose of the Study:

To describe and analyze a force-to-frequency conversion (FFC) system utilizing the photoelastic effect within a laser cavity.
To derive analytic expressions for scale factor, measurement errors, and nonlinearity.
To experimentally validate the FFC system's performance over a wide input range.

Main Methods:

Derivation of analytic expressions for transducer characteristics including scale factor and nonlinearity.

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Application of a third-order saturation model to calculate laser pushing/pulling effects on linearity.

Experimental setup utilizing a modular system with a 633 nm laser source for FFC demonstration.

Main Results:

Demonstrated high linearity of FFC over nearly six decades of input signal range (2 x 10(-4) N to 80 N).
Achieved a noise-equivalent resolution of 10(-4) N.
Characterized the frequency response from DC up to several kilohertz.

Conclusions:

The photoelastic effect within a laser cavity provides a highly linear and sensitive method for force-to-frequency conversion.
Experimental results confirm the theoretical predictions for scale factor and linearity.
Potential for extending measurement range to 10(-6) N or lower through laser stabilization and optomechanical optimization.