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• W3048598685 abstract "We propose a scheme for generating a new kind of sideband, i.e., the fraction-order sideband, in an optomechanical system. In the conventional scheme of high-order sideband generation [ Opt. Lett. 38 , 353 ( 2013 ) OPLEDP 0146-9592 10.1364/OL.38.000353 ], the sideband interval has a minimum frequency limitation, which is equal to the mechanical frequency <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> </mml:math> , and this limits the precision of the sideband comb. With our proposed fraction-order sidebands, the sideband interval can break that limitation and reach <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>n</mml:mi> </mml:math> ( <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mi>n</mml:mi> </mml:math> is an integer). The scheme we propose can be realized by driving the optomechanical system with three laser fields, including a control field ( <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:mrow> </mml:math> ) and two probe fields ( <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mspace width=negativethinmathspace /> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mspace width=negativethinmathspace /> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ), in which the detuning between <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:mrow> </mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mspace width=negativethinmathspace /> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> is equal to the mechanical frequency <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> </mml:math> , while the detuning between <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>c</mml:mi> </mml:msub> </mml:mrow> </mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mspace width=negativethinmathspace /> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> is equal to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>n</mml:mi> </mml:math> . In this case, we find that not only the integer-order (high-order) sidebands, but also the fraction-order sidebands, and the sum and difference sidebands between the integer- and fraction-order sidebands, will appear in the output spectrum. Moreover, the sideband interval becomes <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>ω<!-- ω --></mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>n</mml:mi> </mml:math> , and it can be decreased by increasing <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline> <mml:mi>n</mml:mi> </mml:math> . Our work paves the way to achieve a tunable optical frequency comb based on the optomechanical system." @default.
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• W3048598685 title "Fraction-order sideband generation in an optomechanical system" @default.
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