2008
DOI: 10.1364/ao.47.005570
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Interferometric null test of a deep parabolic reflector generating a Hertzian dipole field

Abstract: We report on interferometric characterization of a deep parabolic mirror with a depth of more than five times its focal length. The interferometer is of Fizeau type; its core consists of the mirror itself, a spherical null element, and a reference flat. Because of the extreme solid angle produced by the paraboloid, the alignment of the setup appears to be very critical and needs auxiliary systems for control. Aberrations caused by misalignments are removed via fitting of suitable functionals provided by means … Show more

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Cited by 20 publications
(32 citation statements)
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“…The lowest Rabi frequency investigated in figure 3 corresponds to a saturation parameter of 3×10 −4 . For the life time of the excited state of the cooling transition (8.1 ns) and the used detuning this corresponds to about , which is in good agreement with the expected PSF of 7.1 μm determined from simulations including the interferometrically measured aberrations of our parabolic mirror [27] (see appendix C). The average phonon number n and thus the temperature of the ion for any Ω can now be determined using these parameters.…”
Section: Methodssupporting
confidence: 85%
“…The lowest Rabi frequency investigated in figure 3 corresponds to a saturation parameter of 3×10 −4 . For the life time of the excited state of the cooling transition (8.1 ns) and the used detuning this corresponds to about , which is in good agreement with the expected PSF of 7.1 μm determined from simulations including the interferometrically measured aberrations of our parabolic mirror [27] (see appendix C). The average phonon number n and thus the temperature of the ion for any Ω can now be determined using these parameters.…”
Section: Methodssupporting
confidence: 85%
“…For comparison also the case of a finite parabolic mirror covering roughly 94% of the solid angle is shown, a mirror geometry matching the one used in Refs. [26,39]. Choosing the area at half maximum height as the spot size yields β ≈ 0.2 in both cases.…”
Section: Attempt At a Comparison With Cavity Qedmentioning
confidence: 99%
“…The surface of the mirror exhibits deviations from a parabola. These surface deviations are measured by interferometry [28]. In general, such deviations distort the focus, leading to a reduced depth of the optical trapping potential as well as reduced curvatures of the potential.…”
Section: Experimental Realizationmentioning
confidence: 99%