Three Mirrors Aberrations Optical Transform Function with the Thermal Elastic Deformation

2011 ◽  
Vol 143-144 ◽  
pp. 181-184
Author(s):  
Yu Fan ◽  
Xue Feng Wu

The field angle of TMA (three mirrors aberration) optical system is larger than coaxial optical system and more susceptible to the structure deformation. Thermal optical analysis is proposed for evaluating the optical MTF (module transform function). Temperature loads, such as X axial, Y axial and Z axial temperature gradients, are put on the optical system. The thermal elasticity deformations of reflector mirror surfaces made by frame deformation are computed. The deformations of reflector mirror surfaces are expressed in Zernike polynomial. With the optical design software optical MTF is computed. The results show that the X axial temperature gradient causes the MTF of optical system reduced furthest, the Y axial temperature gradient causes the minor MTF change, and the Z axial temperature gradient causes the least change of MTF. The research jobs could give some guidance and reference for the thermal design for TMA optical system.

2003 ◽  
Vol 38 (1) ◽  
pp. 42-46 ◽  
Author(s):  
S. Ganschow ◽  
P. Reiche ◽  
M. Ziem ◽  
R. Uecker

2002 ◽  
Vol 456 ◽  
pp. 377-409 ◽  
Author(s):  
N. SUGIMOTO ◽  
K. TSUJIMOTO

This paper considers nonlinear acoustic waves propagating unidirectionally in a gas-filled tube under an axial temperature gradient, and examines whether the energy flux of the waves can be amplified by thermoacoustic effects. An array of Helmholtz resonators is connected to the tube axially to avoid shock formation which would otherwise give rise to nonlinear damping of the energy flux. The amplification is expected to be caused by action of the boundary layer doing reverse work, in the presence of the temperature gradient, on the acoustic main flow outside the boundary layer. By the linear theory, the velocity at the edge of the boundary layer is given in terms of the fractional derivatives of the axial velocity of the gas in the acoustic main flow. It is clearly seen how the temperature gradient controls the velocity at the edge. The velocity is almost in phase with the heat flux into the boundary layer from the wall. With effects of both the boundary layer and the array of resonators taken into account, nonlinear wave equations for unidirectional propagation in the tube are derived. Assuming a constant temperature gradient along the tube, the evolution of compression pulses is solved numerically by imposing the initial profiles of both an acoustic solitary wave and of a square pulse. It is revealed that when a positive gradient is imposed, the excess pressure decreases while the particle velocity increases and that the total energy flux can indeed be amplified if the gradient is suitable.


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