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Effective collecting area of lobster eye optics and optimal value of effective angle

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journal contribution
posted on 28.06.2019, 15:52 by V. Tichý, M. Barbera, R. Hudec, R. Willingale
Effective collecting area represents one of principal parameters of optical systems. The common requirement is to obtain as large effective collecting area as it is possible. The paper presents an analytical method of calculating effective collecting length and its maximization for lobster eye optics. The results are applicable for a Schmidt as well as for an Angel lobster eye geometry used in an astronomical telescope where the source is at infinity such that the incoming rays are parallel. The dependence of effective collecting area vs. geometrical parameters is presented in a form of a simple compact equation. We show that the optimal ratio between mirrors depth and distance (effective angle) does not depend on other geometrical parameters and it is determined only by reflectivity function, i.e. by mirrors (or their coating) material and photon energy. The results can be also used for approximate but fast estimation of performance and for finding the initial point for consequent optimization by ray-tracing simulations.

Funding

For the financial support, we thank to AHEAD (Integrated Activities in the High Energy Astrophysics Domain) project funded by the European Union as Research and Innovation Action under Grant No: 654215. We would like to thank the Grant Agency of the Czech Republic for the financial support by grant number 13-33324S.

History

Citation

Experimental Astronomy, 2019, 47:161

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Physics and Astronomy

Version

VoR (Version of Record)

Published in

Experimental Astronomy

Publisher

Springer (part of Springer Nature)

issn

0922-6435

eissn

1572-9508

Acceptance date

31/01/2019

Copyright date

2019

Available date

28/06/2019

Publisher version

https://link.springer.com/article/10.1007/s10686-019-09622-2

Language

en