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\@writefile{toc}{\contentsline {title}{Low Noise Near-Concentric Optical Cavity Design}{1}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Schematic of the cavity mirror: (a) with an example of ray propagation in red through the mirror (units in $\mathrm  {mm}$), (b) with the mirror mount, (c) corresponding pictures.\relax }}{2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces (a): Rotation of cavity axis due to transverse misalignment. In a NC cavity of critical distance $d$, a small transverse misalignment $\mathrm  {\delta x}$ of the second mirror rotates the cavity axis by an angle $\mathrm  {\delta \theta }$. (b): Equivalence of transverse and angular misalignment. A small transverse misalignment $\mathrm  {\delta x}$ can be corrected by rotating the mirror by a small angle $\mathrm  {\delta \alpha }$. (c) CAD drawing. A: mirror frames. B: actuators. C: spring. D: metal rod. E: transportation plate. (d) Assembled NC cavity.\relax }}{2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Alignment setup of the NC cavity. RA: reference axis, FC: fibre coupler, M: mirror, MT: mechanical tweezer, MTS: manual translation stage, 3AS: three-axis actuator stage.\relax }}{3}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Schematic of the experimental setup. ECDL: external cavity diode laser; EOM: electro-optical modulator; PIC: porportional integral control; PBS: polarized beamsplitter; QWP: quater waveplate; PD: photodiode.\relax }}{4}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Noise spectral density of the cavity length over an integration time of $0.5\,\mathrm  {s}$. Total noise is 0.36(9)\,\r A.\relax }}{4}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Cavity response to the stimulus sent to the piezoelectric actuators. Shaded region highlights the first resonance of the cavity, centered at $2750\,\mathrm  {Hz}$.\relax }}{4}{}}
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\bibcite{Kleine2011}{{1}{2011}{{Kleine~B\"uning\ \emph  {et~al.}}}{{Kleine~B\"uning, Will, Ertmer, Rasel, Arlt, Klempt, Ramirez-Martinez, Pi\'echon,\ and\ Rosenbusch}}}
\bibcite{Wallraff2021}{{2}{2021}{{Blais\ \emph  {et~al.}}}{{Blais, Grimsmo, Girvin,\ and\ Wallraff}}}
\bibcite{Wineland2003}{{3}{2003}{{Leibfried\ \emph  {et~al.}}}{{Leibfried, Blatt, Monroe,\ and\ Wineland}}}
\bibcite{Chin2017}{{4}{2017}{{Chin, Steiner,\ and\ Kurtsiefer}}{{}}}
\bibcite{Hamsen2018}{{5}{2018}{{Hamsen\ \emph  {et~al.}}}{{Hamsen, Tolazzi, Wilk,\ and\ Rempe}}}
\bibcite{ReisererRempe2015}{{6}{2015}{{Reiserer\ and\ Rempe}}{{}}}
\bibcite{Haroche1983}{{7}{2013}{{Haroche}}{{}}}
\bibcite{Kimble1999}{{8}{1999}{{Ye, Vernooy,\ and\ Kimble}}{{}}}
\bibcite{Rempe2020}{{9}{2020}{{Villas-Boas\ \emph  {et~al.}}}{{Villas-Boas, Tolazzi, Wang, Ianzano,\ and\ Rempe}}}
\bibcite{Reichel_2023}{{10}{2023}{{Baghdad\ \emph  {et~al.}}}{{Baghdad, Bourdel, Schwartz, Ferri, Reichel,\ and\ Long}}}
\bibcite{stamper-kurn2023}{{11}{2023}{{Yan\ \emph  {et~al.}}}{{Yan, Ho, Lu, Masson, Asenjo-Garcia,\ and\ Stamper-Kurn}}}
\bibcite{Durak_2014}{{12}{2014}{{Durak\ \emph  {et~al.}}}{{Durak, Nguyen, Leong, Straupe,\ and\ Kurtsiefer}}}
\bibcite{Chi_Huan2018}{{13}{2018}{{Nguyen\ \emph  {et~al.}}}{{Nguyen, Utama, Lewty,\ and\ Kurtsiefer}}}
\bibcite{Raab1987}{{14}{1987}{{Raab\ \emph  {et~al.}}}{{Raab, Prentiss, Cable, Chu,\ and\ Pritchard}}}
\bibcite{GRIMM200095}{{15}{2000}{{Grimm, Weidemüller,\ and\ Ovchinnikov}}{{}}}
\bibcite{Drever1983}{{16}{1983}{{Drever\ \emph  {et~al.}}}{{Drever, Hall, Kowalski, Hough, Ford, Munley,\ and\ Ward}}}
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