Reciprocity relationships in vector acoustics and their application to vector field calculations

Area of Science:

• Underwater acoustics
• Acoustic vector sensing
• Wave propagation modeling

Background:

• The standard reciprocity equation in underwater acoustics links pressure fields to monopole sources.
• This equation is computationally intensive for predicting fields from multiple source locations using traditional hydrophones.
• A similar equation for particle velocity is needed for acoustic vector sensors.

Purpose of the Study:

• To derive a general reciprocity equation for particle velocity fields.
• To enable the use of reciprocity methods with acoustic vector sensors.
• To reduce computational costs in acoustic field prediction.

Main Methods:

• Derivation of a vector-scalar reciprocity equation accounting for monopole and dipole sources.
• Application of the derived equation to analytic solutions in range-independent environments.
• Numerical implementation using a parabolic equation model for range-dependent environments.

Main Results:

• A general reciprocity equation for particle velocity components is established.
• The derived equation allows calculation of individual vector field components by changing source types.
• Demonstrated efficiency gains for predicting fields from multiple source locations.

Conclusions:

• The vector-scalar reciprocity equation extends reciprocity principles to acoustic vector sensors.
• This method significantly reduces computational requirements for acoustic field prediction.
• The findings facilitate more efficient underwater acoustic monitoring and analysis.