Abstract

We describe a novel method for providing geometrical on-axis access to an optical enhancement resonator through an on-axis aperture at one of its mirrors. A superposition of transverse modes in a stable degenerate resonator is used to form a field distribution which avoids the aperture and therefore exhibits small loss. Upon propagation in the resonator the modes acquire a different phase, and an on-axis intensity maximum is formed at a different position. We call this a quasi-imaging resonator, because it is related to imaging in the sense that a hole in the field distribution, exacted by the aperture, is reproduced after a resonator round trip.

Highlights

  • The many round trips the radiation takes depending on the resonator loss lead to an increased sensitivity that is used in metrology [1, 2], and to an enhanced intensity that is e.g. used for nonlinear processes like frequency conversion or processes with a small cross section like Thomson back-scattering at electrons [3]

  • We described a new concept providing a geometrical on-axis access to a high-finesse enhancement resonator, which we call quasi-imaging

  • Eigen-modes of the quasiimaging resonator can be constructed as a combination of simultaneously resonant modes, which avoid the obstacle and exhibit small loss

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Summary

Introduction

For many applications an access along the optical axis of the resonator is necessary to couple radiation in or out This can often be achieved with dichroic mirrors. Geometrical output coupling through an opening in a resonator mirror can be advantageous compared to alternative methods: there is no additional optical element in the resonator and no additional dispersion, nonlinearity, bandwidth limitation or polarization discrimination for the fundamental radiation, and the harmonics are not angularly dispersed. Field distributions with an on-axis intensity maximum at a different position can be excited This basic concept has been proposed in active resonators for free electron lasers, where holes in resonator mirrors allow to introduce the electron beam in a collinear fashion [6].

Resonator stability
Properties of the hole modes and slit modes
Higher-order slit modes
Symmetric bow-tie resonator
Astigmatism in the bow-tie resonator
Mode matching of the impinging beam
Mode expansion model
Aberrations of the enhancement resonator
Comparison with previous experiments
Scope of the simple slit mode
Imaging resonator
Resonator-assisted HHG
Non-collinear setup
Comparison to other concepts for geometrical on-axis access
Findings
Conclusion
Full Text
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