Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 64: Precision measurements and metrology VI

Q 64.3: Talk

Friday, March 22, 2013, 14:30–14:45, E 001

General Astigmatic Gaussian Beam Model — •Evgenia Kochkina, Dennis Schmelzer, Gudrun Wanner, Gerhard Heinzel, and Karsten Danzmann — Albert Einstein Institute, Hannover

Optical simulations for space interferometers require accurate beam models in order to predict all interesting effects. In many cases circular or elliptical (simple astigmatic) Gaussian beams are sufficient. When a beam is transformed (reflected or refracted) at a curved interface the plane of incidence is defined by the beam direction and the local normal vector to the interface at the point of incidence. This definition is purely geometrical and doesn't account for physical beam properties, such as intensity or phase distribution. If we assume that the transformed beam is elliptical, we need one of it's semi-axes to lie in plane of incidence in order to use simple astigmatic beam model. In a general 3D case it's not necessarily true. When both semi-axes of the beam ellipse do not lie in the plane of incidence, beam transformations can be described using the general astigmatic Gaussian beam model. Such beams have been described in the literature. To our knowledge however there is no available software implementation or a complete general astigmatic Gaussian model description. We will report on our investigations of the general astigmatic Gaussian beam model, it's implementation in the software and the experiments to verify the simulation results.