Adaptive optics simulation with mechanically motivated basis functions

Thomas Ruppel; Wolfgang Osten; Oliver Sawodny

doi:10.1117/12.856023

14 July 2010 Adaptive optics simulation with mechanically motivated basis functions

Thomas Ruppel, Wolfgang Osten, Oliver Sawodny

Author Affiliations +

Proceedings Volume 7736, Adaptive Optics Systems II; 77363Y (2010) https://doi.org/10.1117/12.856023
Event: SPIE Astronomical Telescopes + Instrumentation, 2010, San Diego, California, United States

Abstract

For high accuracy simulation of Adaptive Optics (AO), multi-conjugate AO (MCAO), and ground layer AO (GLAO) analytic models have proven to be of significant importance. Usually, these models employ a finite set of Zernike basis functions that allow replacing point-by-point computation of phase maps by algebraic manipulation of basis function coefficients. For closed loop simulation of AO systems it is essential to consider the spatial and temporal dynamics of deformable mirrors and wavefront sensors. In this case, simulations with Zernike basis functions have several drawbacks. First of all, they become computationally intractable when high order and high frequency behavior is analyzed. Additionally, the spatial dynamics of deformable mirrors cannot be approximated well by Zernike functions when mechanical constraints are considered. In this paper, a set of orthogonal basis functions formed by spatial eigenmodes of deformable mirrors is proposed for simulation of large scale AO systems. It is shown that an analytic approximation of deformable mirror bending modes can be derived by solving a partial differential equation (PDE) and an inclusion of appropriate boundary conditions. Three sets of basis functions from different boundary conditions are studied in detail: the cases of a clamped edge, free edge, and flexible support of a circular mirror plate. The basis functions are compared to the Zernike functions and their mathematical properties are discussed.

Citation Download Citation

Thomas Ruppel, Wolfgang Osten, and Oliver Sawodny "Adaptive optics simulation with mechanically motivated basis functions", Proc. SPIE 7736, Adaptive Optics Systems II, 77363Y (14 July 2010); https://doi.org/10.1117/12.856023

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE