Reduced Order Thermal Model of 1D Electrothermal Micromirrors

Members: Sagnik Pal, Sarah Maley (Air Force Research Lab., Ohio)
Sponsor(s): NSF

Objective
  • Computation efficient and accurate compact thermal model of electrothermally actuated micromirror.
 
Technical Approach
  • The Arnoldi process for model order reduction of a finite element thermal model
  • Comparison of reduced order model with finite element model and thermal imaged of micromirror

Figure 1: SEM of electrothermal micromirror

Figure 2:  Thermal image of electrothermal micromirror (obtained by Sarah Maley, AFRL, Ohio)



Results:

Figure 3: Comparison of reduced order model with finite element simulations

Figure 4: Decay in device response at low frequency agrees well with reduced order model of order 2. 


Applications:
  •  Fast and efficient simulation of electrothermal micromirrors for arbitrary actuation voltage
  • Open-loop and closed-loop control
Publications:

  • S. Pal, H. Xie, “Parametric dynamic compact thermal model of an electrothermally actuated micromirror,” Journal of Micromechanics and Microengineering, Vol. 19, 065007 (2009).
  • S. Pal, K. Jia, S. Maley, and H. Xie, “Reduced order thermal modeling of a one-dimensional electrothermally actuated micromirror device,” presented at the SPIE Photonics West Conference, San Jose, CA, 19-24 January, 2008.

 

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