\documentclass[a4j]{jreport}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%GRAPHICS
\usepackage[dvipdfm]{graphicx}
\usepackage{here}
\usepackage{mediabb}  % downloaded from http://www.ma.ns.musashi-tech.ac.jp/Pages/TeX/mediabb.sty.html
\usepackage{wrapfig}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%FONT
\usepackage{helvet}
\usepackage[dvipdfm]{color}
\usepackage{amsmath,amssymb}
\usepackage{udline} \setulminsep{0.5ex}{0.5ex} \setulsep{0.2pt}  % downloaded from http://homepage2.nifty.com/domae/tex/udline.html
\newcommand{\bibchapfont}[1]{\hspace{-5mm}{\bf #1}}  % �͂��ƂɎQ�l�����𕪂���A���̌��o���̃t�H���g
\newcommand{\bibtit}[1]{{\it #1}}	% �Q�l�����p��^�C�g���̃t�H���g
\newcommand{\RED}[1]{\colorbox{red}{\textcolor{white}{\bf #1}}}  % �������ׂ��Ƃ���Ȃǋ����p

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%HYPERREF
\AtBeginDvi{\special{pdf:tounicode 90ms-RKSJ-UCS2}}
\usepackage[dvipdfm,bookmarks=true,bookmarksnumbered=true,colorlinks=true,linkcolor=blue,citecolor=blue,filecolor=blue,pagecolor=blue,urlcolor=blue]{hyperref}
\urlstyle{rm}
\usepackage[all]{hypcap} % table��figure�Ń����N�̈ʒu��caption�ɂȂ��Ă��܂��̂��C��

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%HEADER/FOOTER
\usepackage{fancyhdr}
\pagestyle{fancy}

\renewcommand{\chaptermark}[1]{\markboth{\thechapter\space#1}{}}
\renewcommand{\sectionmark}[1]{\markright{\thesection\space#1}}

\lhead{\nouppercase{\leftmark}}
\chead{}
\rhead{\nouppercase{\rightmark}}
\lfoot{}
\cfoot{\thepage}
\rfoot{} 
\renewcommand{\headrulewidth}{0.4pt}
\renewcommand{\footrulewidth}{0pt}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%CAPTION
\newcommand{\captionplus}[2]{\caption[#1]{#1#2}} % �}�\�ꗗ�ɐ������͓��ꂽ���Ȃ��ꍇcaptionplus��p����

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%DEFINITIONS
\newcommand{\shiki}[1]{��(\ref{#1})}
\newcommand{\zu}[1]{�}\ref{#1}}
\newcommand{\hyou}[1]{�\\ref{#1}}
\newcommand{\shou}[1]{��\ref{#1}��}
\newcommand{\setsu}[1]{\ref{#1}��}
\newcommand{\hoi}[1]{���\ref{#1}}
\newcommand{\bibchap}[1]{\vspace{5mm}\bibchapfont{\ref{#1} #1}}	% �͂��ƂɎQ�l�����𕪂���A���̌��o��
\newcommand{\unit}[1]{\ {\rm #1}}
\newcommand{\disp}[1]{\ \displaystyle{#1}}
\newcommand{\rot}{{\rm rot}}
\newcommand{\PIS}{\left( \alpha + 1/2 \right)}
\newcommand{\rtHz}{\sqrt{Hz}}
\newcommand{\lab}{{\rm lab}}
\newcommand{\T}{{\rm T}}
\newcommand{\To}{T_{\oplus}}
\newcommand{\etal}{{\it et al.}}
\newcommand{\Omegao}{\Omega_{\oplus}}
\newcommand{\omegao}{\omega_{\oplus}}

\def\d{{\rm d}}
\def\Vec#1{\mbox{\boldmath $#1$}}
\newcommand{\bi}[1]{\boldsymbol{#1}}
\newcommand{\rowvector}[2]{\left(%
\begin{array}{c}
 #1 \\
 #2 \\
\end{array} \right)}
\newcommand{\squarematrix}[4]{\left(%
\begin{array}{cc}
 #1 & #2 \\
 #3 & #4 \\
\end{array} \right)}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%CHAPTER SETTINGS
\newcommand{\chapnumfont}[1]{\fontsize{25mm}{0pt}\selectfont\sf\textbf{#1}}  % chapter���o���̐���/�A���t�@�x�b�g�̃t�H���g
\newcommand{\chapfont}[1]{\fontsize{10mm}{0pt}\selectfont{\bf\textsf{#1}}}  % chapter���o���̃t�H���g
\newcommand{\chaptername}{Chapter}  %�����̏ꍇ����
\renewcommand{\prechaptername}{}  %�����̏ꍇ����
\renewcommand{\postchaptername}{}  %�����̏ꍇ����
\renewcommand{\appendixname}{}  %�����̏ꍇ����
\renewcommand{\contentsname}{Contents}  %�����̏ꍇ����
\renewcommand{\listfigurename}{List of Figures}  %�����̏ꍇ����
\renewcommand{\listtablename}{List of Tables}  %�����̏ꍇ����
\renewcommand{\bibname}{Bibliography}  %�����̏ꍇ����


\makeatletter

% chapter���o��
\def\@makechapterhead#1{%
  \lhead{\nouppercase{\leftmark}}  % ��header�̒�`
  \rhead{\nouppercase{\rightmark}} % �Eheader�̒�`
  \vbox to 4.5cm{%
    \vskip5mm
    \hfill
    {\chapfont{\chaptername\space}}%  %�����̏ꍇ��{\Huge\sc\@chapapp\space}�Ƃ���
    {\chapnumfont{\thechapter}}%
    \par\prevdepth-1000pt
    \vskip5mm
    {\Huge\bfseries\hfill#1\par}%
    \vss
    \hrule height.5mm depth\z@
  } \label{#1}%    % chaper���o���ւ̃����N���x��
  \vskip15mm
}%

% chapter*���o��(�ڎ��A�Q�l�����܂�)
\def\@makeschapterhead#1{%
  \lhead{#1}  % chapter*�ł͑O��chaptermark�����̂܂܎g���Ă��܂��̂ō�header�̒�`�����ł��Ă���
  \rhead{}  % ���l�ɉEheader���Ȃ����Ă���
  \vbox to 2cm{%
    \vskip5mm
    \hfill
    {\chapfont{#1}}
    \par\prevdepth-1000pt
    \vskip5mm
    \vss
    \hrule height.5mm depth\z@
  }%
  \vskip15mm
}%


% chapter*�̌��o���ւ̖ڎ������hyperref�����N��̈ʒu�C�� http://www.tex.ac.uk/cgi-bin/texfaq2html?label=tocbibind
\def\@schapter#1{%
 \cleardoublepage
 \phantomsection
                 \if@twocolumn
                   \@topnewpage[\@makeschapterhead{#1}]%
                 \else
                   \@makeschapterhead{#1}%
                   \@afterheading
                 \fi}

% chapter���x����tableofcontents�ł̕\���`��
\renewcommand{\l@chapter}[2]{%    %�����̏ꍇ��A������
  \ifnum \c@tocdepth >\m@ne
    \addpenalty{-\@highpenalty}%
    \addvspace{1.0em \@plus\p@}%
    \begingroup
      \parindent\z@ \rightskip\@pnumwidth \parfillskip-\rightskip
      \leavevmode\bfseries
      \setlength\@lnumwidth{1.5zw}%
      \advance\leftskip\@lnumwidth \hskip-\leftskip
      #1\nobreak\hfil\nobreak\hbox to\@pnumwidth{\hss#2}\par
      \penalty\@highpenalty
    \endgroup
  \fi}

%\renewcommand{\cleardoublepage}{\clearpage\ifodd\c@page\else
%    \hbox{}\newpage\if@twocolumn\hbox{}\newpage\fi\fi}

\makeatother

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%TITLE PAGE
\title{{\bf \Huge �C�m�_��}\\ \vspace{3zh}{\bf \Huge �������O���U���p����\\ �Г������ٕ̈����T��}\\ \vspace{15zh}}
\author{\LARGE ������w��w�@ ���w�n������ �����w��U\\ \LARGE �����B��}
\date{2012�N1��6����o\\
2012�N2��6���ŏI�Œ�o}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%MAIN
\begin{document}
\pagenumbering{roman}
\maketitle

\setcounter{page}{2}
\input{abstract_long}

\clearpage

\begin{center}
{\bf �������O���U���p�����Г������ٕ̈����T��} \addcontentsline{toc}{chapter}{�v�|} \\
�����B��\\
\vspace{\Cvs}
�w������: �ؖ���v\\
\vspace{\Cvs}
\vspace{\Cvs}
{\bf \Large �v�|}
\end{center}
\input{abstract_jp}

\clearpage

\begin{center}
{\bf Search for Anisotropy in the One-Way Speed of Light\\ Using an Optical Ring Cavity} \addcontentsline{toc}{chapter}{Abstract} \\
by Yuta Michimura\\
\vspace{\Cvs}
Supervisor: Kimio Tsubono\\
\vspace{\Cvs}
\vspace{\Cvs}
{\bf \Large Abstract}
\end{center}
\input{abstract_en}

\clearpage

\tableofcontents

\listoffigures
\addcontentsline{toc}{chapter}{�}�ڎ�}

\listoftables
\addcontentsline{toc}{chapter}{�\�ڎ�}

\chapter*{Glossary} \addcontentsline{toc}{chapter}{�L���E����ꗗ}
\begin{tabbing}
01\=01234567890\=0123456789\kill
{\Large �L��}\\
\> $i$ \> �����P�� $i= \sqrt{-1}$ \\
\> $c$ \> ���� $c= 299792458\unit{m/s}$ \\
\> $c_0$ \> ��ΐÎ~�n�ɂ�������� (���ɋ������Ȃ�����$c_0=1$��p����) \\
\> $\epsilon_0$ \> (��ΐÎ~�n�ɂ�����)�^�󒆂̗U�d�� \\
\> $\mu_0$ \> (��ΐÎ~�n�ɂ�����)�^�󒆂̓����� \\
\> $h$ \> �v�����N�萔 $h= 6.626 \times 10^{-34} \unit{Js}$ \\
\> $e$ \> �d�בf�� $c= 1.602 \times 10^{-19} \unit{C}$ \\
\> $v$ \> ��ΐÎ~�n�ɑ΂���������n�̑��� $v=|\Vec{v}|$ \\
\> $\gamma$ \> $= 1/\sqrt{1-v^2}$ \\
\> $\lambda$ \> ���[�U�[���̔g�� \\
\> $\nu$ \> ���[�U�[���̎��g�� [{\rm Hz}] ($\nu = c/\lambda$) \\
\> $\omega$ \> ���[�U�[���̊p���g�� $[{\rm rad/sec}]$ ($\omega= 2 \pi \nu$) \\
\> $\omega_{\rot}$ \> �����U��̉�]�p���g�� $[{\rm rad/sec}]$ ($\omega= 2 \pi f_{\rot}$) \\
\> $\omega_{\oplus}$ \> �n���̎��]�p���g�� $\omega_{\oplus}=7.29 \times 10^{-5} \unit{rad/sec}$ \\
\> $\Omega_{\oplus}$ \> �n���̌��]�p���g�� $\Omega_{\oplus}=1.99 \times 10^{-7} \unit{rad/sec}$ \\
\> $T_{\oplus}$ \> 2000�N�̏t��(3��20��16:30(JST))��$T_{\oplus}=0$�Ƃ��鎞�� \\
\> $T_{\rot}$ \> 1��]�̎��� ($T_{\rot}=2 \pi / \omega_{\rot}$) \\
\> $\chi$ \> �������̗]�ܓx (�{�������ł�$\chi=54.3^{\circ}$) \\
\> $\eta$ \> �n���̐ԓ��X�Ίp $\eta=23.4^{\circ}$ \\
\> $\mathcal{F}$ \> �t�B�l�X \\
\> $n$ \> ���ܗ� \\
\> $m$ \> ���R�� \\
\end{tabbing}

\clearpage

\begin{tabbing}
01\=01234567890\=0123456789\kill
{\Large ����}\\
\> \bf{AOM} \> acousto-optic modulator (�������w�f�q) \\
\> \bf{AR} \> anti-reflective, anti-reflection \\
\> \bf{BS} \> beam splitter \\
\> \bf{CMB} \> cosmic microwave background (�F���}�C�N���g�w�i����) \\
\> \bf{CMRR} \> common mode rejection ratio (�����G��������) \\
\> \bf{DFB} \> distributed feedback (���z�A�Ҍ^(���[�U�[)) \\
\> \bf{FP} \> Fabry-Perot (���U��) \\
\> \bf{FSR} \> free spectral range \\
\> \bf{FWHM} \> full width at half maximum (���l�S��) \\
\> \bf{HR} \> high-reflection \\
\> \bf{HWP} \> half-wave plate (1/2�g���A$\lambda/2$��) \\
\> \bf{LPF} \> low-pass filter \\
\> \bf{MS} \> Mansouri-Sexl (���ꑊ�Θ_�̌��ؗ��_) \\
\> \bf{PBS} \> polarizing beam splitter \\
\> \bf{PD}  \> photo detector, photo diode (�����o��) \\
\> \bf{PDH}  \> Pound-Drever-Hall \\
\> \bf{PI}  \> photo interrupter \\
\> \bf{PM}  \> polarization maintaining (�Δg�ێ�(�t�@�C�o)) \\
\> \bf{PZT} \> lead zirconate titanate, Pb(Zr$_x$, Ti$_{1-x}$)O$_{3}$ (�s�G�]�f�q)\\
\> \bf{QWP} \> quarter-wave plate (1/4�g���A$\lambda/4$��) \\
\> \bf{SCCEF} \> Sun centered celestial equatorial frame \\
\> \bf{SG} \> signal generator (�M��������) \\
\> \bf{SM} \> single mode (�P�ꃂ�[�h(�t�@�C�o)) \\
\> \bf{SME} \> Standard Model Extension (�g���W�����_) \\
\> \bf{SR} \> Special Relativity (���ꑊ�ΐ����_) \\
\> \bf{UGF} \> unity gain frequency \\
\end{tabbing}

\chapter{�͂��߂�}
\pagenumbering{arabic}
\input{introduction}

\chapter{���ꑊ�Θ_�̌���} \label{SHOUtesttheory}
\input{test_theory}

\chapter{�����O���U��ɂ��ٕ����T��} \label{SHOUprinciple}
\input{experimental_principle}

\chapter{�������u} \label{SHOUsetup}
\input{experimental_setup}

\chapter{�f�[�^���} \label{SHOUdata}
\input{data_analysis}

\chapter{���_} \label{SHOUconclusion}
\input{conclusion}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%APPENDIX
\appendix
\renewcommand{\chaptername}{Appendix}  %�����̏ꍇ����
\chapter{�t�B�[�h�o�b�N����} \label{HOIfeedbackcontrol}
\input{feedback_control}

\chapter{�Ό���͖@} \label{polarizationanalysis}
\input{polarization_analysis}

\chapter{���[�U�[���g���̕ϒ���������} \label{HOIlaserpzt}
\input{laser_pzt}

\chapter{�g���W�����_�ɂ�������} \label{SMEanalysis}
\input{SME_analysis}

\chapter{�������u�ڍ�}
\input{optics_circuits}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%BIBLIOGRAPHY
\begin{thebibliography}{99} \addcontentsline{toc}{chapter}{�Q�l����}
\makeatletter
\@newlistfalse
\makeatother

\vspace{-5mm}
\bibchap{�͂��߂�}
\bibitem{Einstein} A. Einstein: Ann. Phys. (Leipzig) {\bf 17} (1905) 891. \\
\bibtit{Zur Elektrodynamik bewegter K{\" o}rper}
\bibitem{Mattingly} D. Mattingly: Living Rev. Relativity {\bf 8} (2005) 5. \\
\bibtit{Modern Tests of Lorentz Invariance}
\bibitem{Kostelecky_LV} V. A. Kosteleck{\' y} and S. Samuel: Phys. Rev. D {\bf 39} (1989) 683. \\
\bibtit{Spontaneous Breaking of Lorentz Symmetry in String Theory}
\bibitem{Gambini} R. Gambini and J. Pullin: Phys. Rev. D {\bf 59} (1999) 124021. \\
\bibtit{Nonstandard optics from quantum space-time}

\bibchap{���ꑊ�Θ_�̌���}
\bibitem{MS_1} R. Mansouri and R. U. Sexl: Gen. Relativ. Grav. {\bf 8} (1977) 497. \\
\bibtit{A Test Theory of Special Relativity: I. Simultaneity and Clock Synchronization}
\bibitem{MS_2} R. Mansouri and R. U. Sexl: Gen. Relativ. Grav. {\bf 8} (1977) 515. \\
\bibtit{A Test Theory of Special Relativity: II. First Order Tests}
\bibitem{MS_3} R. Mansouri and R. U. Sexl: Gen. Relativ. Grav. {\bf 8} (1977) 809. \\
\bibtit{A Test Theory of Special Relativity: III. Second Order Tests}

\bibitem{Will_clock1992} C. M. Will: Phys. Rev. D {\bf 45} (1992) 403. \\
\bibtit{Clock synchronization and isotropy of the one-way speed of light}
\bibitem{Zhang1997} Y. Z. Zhang: \bibtit{Special Relativity and its Experimental Foundations} (World Scientific, Singapore, 1997).
\bibitem{Anderson1998} R. Anderson, I. Vetharaniam, and G. E. Stedman: Phys. Rep. {\bf 295} (1998) 93. \\
\bibtit{Conventionality of synchronisation, gauge dependence and test theories of relativity}

\bibitem{Robertson} H. P. Robertson: Rev. Mod. Phys. {\bf 21} (1949) 378. \\
\bibtit{Postulate {\rm versus} Observation in the Special Theory of Relativity}

\bibitem{IS} H. E. Ives and G. R. Stilwell: J. Opt. Soc. Am. {\bf 28} (1938) 215. \\
\bibtit{An experimental study of the rate of a moving atomic clock}
\bibitem{MM} A. A. Michelson and E. W. Morley: Am. J. Sci. {\bf 34} (1887) 333.�@\\
\bibtit{On the Relative Motion of the Earth and the Luminiferous Ether}
\bibitem{KT} R. J. Kennedy and E. M. Thorndike: Phys. Rev. {\bf 42} (1932) 400. \\
\bibtit{Experimental Establishment of the Relativity of Time}

\bibitem{Reinhardt_IS}S. Reinhardt, G. Saathoff, H. Buhr, L. A. Carlson, A. Wolf, D. Schwalm, S. Karpuk, C. Novotny, G. Huber, M. Zimmermann, R. Holzwarth, T. Udem, T. W. H\"{a}nsch and G. Gwinner: Nat. Phys. {\bf 3} (2007) 861. \\
\bibtit{Test of relativistic time dilation with fast optical atomic clocks at different velocities}
\bibitem{Eisele_MM} Ch. Eisele, A. Yu. Nevsky, and S. Schiller: Phys. Rev. Lett. {\bf 103} (2009) 090401. \\
\bibtit{Laboratory Test of the Isotropy of Light Propagation at the ${\it 10^{-17}}$ Level}
\bibitem{Tobar_KT}M. E. Tobar, P. Wolf, S. Bize, G. Santarelli, and V. Flambaum: Phys. Rev. D {\bf 81} (2010) 022003. \\
\bibtit{Testing local Lorentz and position invariance and variation of fundamental constants by searching the derivative of the comparison frequency between a cryogenic sapphire oscillator and hydrogen maser}

\bibitem{BrilletHall} A. Brillet and J. L. Hall: Phys. Rev. Lett. {\bf 42} (1979) 549. \\
\bibtit{Improved Laser Test of the Isotropy of Space}
\bibitem{Herrmann_MM} S. Herrmann, A. Senger, K. M\"{o}hle1, M. Nagel, E. V. Kovalchuk, and A. Peters: Phys. Rev. D {\bf 80} (2009) 105011. \\
\bibtit{Rotating optical cavity experiment testing Lorentz invariance at the ${\it 10^{-17}}$ Level}

\bibitem{Krisher_clock} T. P. Krisher, L. Maleki, G. F. Lutes, L. E. Primas, R. T. Logan, J. D. Anderson, and C. M. Will: Phys. Rev. D {\bf 42} (1990) 731. \\
\bibtit{Test of the isotropy of the one-way speed of light using hydrogen-maser frequency standards}
\bibitem{Wolf_clock} P. Wolf and G. Petit: Phys. Rev. A {\bf 56} (1997) 4405. \\
\bibtit{Satellite test of special relativity using the global positioning system}
\bibitem{Trimmer} W. S. N. Trimmer, R. F. Baierlein, J. E. Faller, and H. A. Hill: Phys. Rev. D {\bf 8} (1973) 3321. \\
\bibtit{Experimental Search for Anisotropy in the Speed of Light}

\bibitem{Exirifard} Q. Exirifard: \href{http://arxiv.org/abs/1010.2057}{arXiv:1010.2057v6} [gr-qc] \\
\bibtit{Triangular Ring Resonator: Direct measurement of the one-way light speed anisotropy}


\bibchap{�����O���U��ɂ��ٕ����T��}

\bibitem{Zarinetchi_lockin} F. Zarinetchi and S. Ezekiel: Opt. Lett. {\bf 11} (1986) 6. \\
\bibtit{Observation of lock-in behavior in a passive resonator gyroscope}
\bibitem{Cusack_doublepass} B. J. Cusack and D. A. Shaddock and B. J. J. Slagmolen and G. de Vine and M. B. Gray and D. E. McClelland: Class. Quantum Grav. {\bf 19} (2002) 1819. \\
\bibtit{Double pass locking and spatial mode locking for gravitational wave detectors}

\bibitem{Baynes} F. N. Baynes, A. N. Luiten, and M. E. Tobar: Phys. Rev. D {\bf 84} (2011) 081101. \\
\bibtit{Testing Lorentz invariance using an odd-parity asymmetric optical resonator}

\bibitem{Toraeru_shot} �O���T��: �w�d�͔g���Ƃ炦��x(������, �O���T��, �勴���� �Ғ�, ���s��w�w�p�o�ŉ�, 1998) p.210.

\bibitem{Sagnac} G. Sagnac: C. R. Acad. Sci. Paris {\bf 157} (1913) 708.\\
\bibtit{The demonstration of the luminiferous aether by an interferometer in uniform rotation}
\bibitem{Wang_sagnac} R. Wang, Y. Zheng, and A. Yao: Phys. Rev. Lett. {\bf 93} (2004) 143901. \\
\bibtit{Generalized Sagnac Effect}
\bibitem{Post} E. J. Post: Rev. Mod. Phys. {\bf 39} (1967) 475. \\
\bibtit{Sagnac Effect}

\bibitem{Saulson_seism} P. R. Saulson: \bibtit{Fundamentals of Interferometric Gravitational Wave Detectors} (World Scientific, Singapore, 1994) p.127.

\bibitem{Sekiya_m} �֒J�~: ������w �C�m�_�� (2000) p.36. \\
�u��Ԃ̓��������؎����v \url{http://granite.phys.s.u-tokyo.ac.jp/theses/sekiya_m.pdf}


\bibchap{�������u}
\bibitem{Toraeru_FP} �X�e���T: �w�d�͔g���Ƃ炦��x(������, �O���T��, �勴���� �Ғ�, ���s��w�w�p�o�ŉ�, 1998) p.339-361.
\bibitem{Kogelnik} H. Kogelnik and T. Li: Proc. IEEE {\bf 54} (1966) 1312. \\
\bibtit{Laser Beams and Resonators}


\bibchap{�f�[�^���}
\bibitem{Kostelecky2002} V. A. Kosteleck\'{y} and M. Mewes: Phys. Rev. D {\bf 66} (2002) 056005. \\
\bibtit{Signals for Lorentz violation in electrodynamics}
\bibitem{CMB} C. H. Lineweaver, L. Tenorio, G. F. Smoot, P. Keegstra, A. J. Banday, and P. Lubin: Astrophys. J. {\bf 470} (1996) 38. \\
\bibtit{The Dipole Observed in the COBE DMR Four-Year Data}


\bibchap{�t�B�[�h�o�b�N����}
\bibitem{Katayama} �ЎR�O: �w�V�� �t�B�[�h�o�b�N����̊�b�x(���q���X, 2002)


\bibchap{�Ό���͖@}
\bibitem{Hansch} T. W. H\"{a}nsch and B. Couillaud: Opt. Commun. {\bf 35} (1980) 441. \\
\bibtit{Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity}
\bibitem{Moriwaki_polization} S. Moriwaki, T. Mori, K. Takeno, and N. Mio: Appl. Phys. Express {\bf 2}  (2009) 016501. \\
\bibtit{Frequency Discrimination Method Making Use of Polarization Selectivity of Triangular Optical Cavity}
\bibitem{JonesCalsulus} R. Clark Jones: J. Opt. Soc. Am. {\bf 31} (1941) 488. \\
\bibtit{A New Calculus for the Treatment of Optical Systems}
\bibitem{PDH} R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley and H. Ward: Appl. Phys. {\bf B} 31 (1983) 97. \\
\bibtit{Laser phase and frequency stabilization using an optical resonator}
\bibitem{Ohmae_D} Noriaki Ohmae: Doctoral Thesis, University of Tokyo (2011) p.58-69. \\
\bibtit{Laser System for Second-Generation Gravitational-Wave Detectors}


\bibchap{�g���W�����_�ɂ�������}
\bibitem{SME_original} D. Colladay and V. A. Kosteleck\'{y}: Phys. Rev. D {\bf 58} (1998) 116002. \\
\bibtit{Lorentz-violating extension of the standard model}
\bibitem{Tobar_proposal} M. E. Tobar, P. Wolf, A. Fowler, and J. G. Hartnett:  Phys. Rev. D {\bf 71}  (2005) 025004. \\
\bibtit{New methods of testing Lorentz violation in electrodynamics}
\bibitem{SME_datatable} V. A. Kosteleck\'{y} and N. Russel: Rev. Mod. Phys. {\bf 83} (2011) 11. \\
\bibtit{Data tables for Lorentz and CPT violation}
\bibitem{Kostelecky2006} V. A. Kosteleck\'{y} and M. Mewes: Phys. Rev. Lett. {\bf 97} (2006) 140401. \\
\bibtit{Sensitive Polarimetric Search for Relativity Violations in Gamma-Ray Bursts}
\bibitem{Hohensee2010} M. A. Hohensee, P. L. Stanwix, M. E. Tobar, S. R. Parker, D. F. Phillips, and R. L. Walsworth: Phys. Rev. D {\bf 82} (2010) 076001. \\
\bibtit{Improved Constraints on Isotropic Shift and Anisotropies of the Speed of Light using Rotating Cryogenic Sapphire Oscillators}

\bibitem{Zimmerman} Andrew Zimmerman: Thesis, Swarthmore College (2011) p.21-24. \\
\bibtit{Lorentz Violation in Degenerate Resonant Cavities} \\
\url{http://www.swarthmore.edu/Documents/academics/physics_astronomy/honors%20theses/Andrew_Zimmerman_Thesis2011.pdf}

\end{thebibliography}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%ACKNOWLEDGEMENTS
\chapter*{Acknowledgements} \addcontentsline{toc}{chapter}{�ӎ�}
\input{acknowledgements}

\end{document}