An accurate and computationally efficient model for membrane-type circular-symmetric micro-hotplates.

Area of Science:

• Micro- and Nanotechnology
• Computational Physics
• Materials Science

Background:

• Designing high-performance micro-hotplates requires extensive simulations due to numerous parameters and environmental effects.
• Finite Element Method (FEM) simulations are accurate but computationally expensive, hindering design optimization.

Purpose of the Study:

• To develop a computationally efficient model for circular-symmetric micro-hotplates.
• To enable effective optimization of micro-hotplate design by overcoming the limitations of current simulation tools.

Main Methods:

• Utilized modified Bessel functions and a matrix approach for boundary conditions.
• Employed Taylor linearization for Joule heating and radiation loss modeling.
• Incorporated an external-region-segmentation strategy for accurate radiation analysis.

Main Results:

• The proposed model achieves accuracy comparable to FEM simulations.
• It is 2-3 orders of magnitude more computationally efficient than FEM (e.g., 45s vs. 8h).
• A single-FEM-compensation strategy reduces residual errors to approximately 1 °C.

Conclusions:

• The developed model provides a fast and accurate simulation tool for micro-hotplate design.
• It facilitates systematic investigation of parameter variations and enables effective pre-fabrication optimization.