Bio-MEMS & Contactless Micro-Assembly
Acoustic Levitation & Tweezers CAM Calculator
Model ultrasonic standing waves and acoustic tweezers for contactless micro-manipulation. Calculate acoustic radiation force ($F_{\text{rad}}$), Gor'kov potential ($U$), nodal trap spacing, and multi-focal phase coordinates.
Process & CAM Parameters
Transducer operating frequency in kHz (e.g. 40 kHz airborne, 1-2 MHz microfluidic).
Radius of levitated particle or droplet in mm.
Peak acoustic pressure in standing wave in Pascals (Pa).
Engineering Calculations
Acoustic Wavelength (λ)
8.58mm
Nodal Node Spacing
4.29mm
Acoustic Radiation Force
182µN
Max Trapping Mass
18.5mg
Dynamic CAM Toolpath & Vector Preview
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Read the Full Acoustic Tweezers Guide →Engineering Principles & Formulations
Acoustic Levitation and Tweezers generate acoustic standing waves where non-linear acoustic radiation forces ($F_{\text{rad}}$) trap micro-components, biological cells, or liquid droplets at acoustic pressure nodes ($z_n = n \lambda / 2$) without physical contact.
Governing Gor'kov potential equations:
- Gor'kov Potential ($U$): $$U = V_0 \left[ f_1 \frac{\langle p^2 \rangle}{2 \rho_0 c_0^2} - f_2 \frac{3 \rho_0 \langle v^2 \rangle}{4} \right]$$
- Acoustic Radiation Force: $$F_{\text{rad}} = -\nabla U = -\frac{4\pi}{3} R_p^3 \cdot k \cdot E_{\text{ac}} \cdot \Phi \cdot \sin(2kz)$$ where $\Phi$ is the acoustic contrast factor.
- Phased Array Transducer Pitch: Array layout requires transducer element spacing $P \le \lambda / 2$ to suppress grating lobes during dynamic 3D focal steering.