Filtered Lebedev quadrature method for robust and efficient beam shape coefficient estimation in acoustic tweezers...

Area of Science:

• Acoustic manipulation
• Wave physics
• Optical trapping

Background:

• Acoustic tweezers use acoustic radiation force for contactless object manipulation.
• Accurate force calibration is crucial for precise control in acoustic tweezers.
• Existing methods for determining beam shape coefficients (Lebedev quadrature, angular spectrum) have limitations.

Purpose of the Study:

• To develop a more efficient and robust method for calculating beam shape coefficients for acoustic tweezers.
• To improve the accuracy and reduce the complexity of acoustic force calibration.
• To enable better characterization of high-frequency acoustic tweezers.

Main Methods:

• Introduced a filtered method for acoustic tweezers, building upon the angular spectrum method.
• Developed an unfiltered version for standing field force estimation.
• Created a filtered Lebedev quadrature method requiring fewer measurement points.
• Applied the filtered Lebedev method to focused vortex beams.

Main Results:

• The filtered angular spectrum method demonstrates relative noise insensitivity.
• The new methods show resilience to noise and a reduced need for measurement points.
• Numerical evaluation confirms the effectiveness of the filtered Lebedev method for focused vortex beams.

Conclusions:

• The filtered Lebedev method offers a rapid and robust solution for beam shape coefficient estimation.
• This advancement is critical for characterizing high-frequency acoustic tweezers.
• The developed technique enhances the practical application and control of acoustic tweezers.