JP7393702B2 - 二次元材料の光学非線形性の測定方法 - Google Patents
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- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
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- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
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- G02F1/35—Non-linear optics
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- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/35—Non-linear optics
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Description
非線形係数γ:光導波路を伝搬する光の電場分布に依存する光学非線形性を表す指標
上記の定義より、非線形屈折率n2は、光導波路の構造には関係なく材料自体で決定される値であるのに対し、非線形係数γは、光導波路の構造に依存して光が感じる実効的な光学非線形性と言い換えることもできる。材料および形状が決まれば、「非線形屈折率n2」および「非線形係数γ」は下の式(1)で、一対一に対応する。
上記のパラメータの内、光導波路単体の伝搬損失α1および二次元材料を装荷した光導波路の伝搬損失α2は、それぞれ、カットバック法等の光導波路の伝搬損失を測定する方法によって、本測定方法とは独立して求めることができる。上述の同時計数率の複数のプロット点に、理論値μtheoryの曲線を合わせ込む手法は、様々なものを選択可能であって、ここでは特定のものには限定されない。一例を挙げれば、レーベンバーグ・マーカート法等の非線形最小二乗法を用いる手法がある。
Claims (5)
- 二次元材料の非線形光学特性を測定する方法であって、
異なる構造の二次元材料を部分的に装荷した光導波路を含む複数の試験デバイスを備えるステップであって、前記二次元材料は光導波路軸方向に沿って異なる長さを有している、ステップと、
前記試験デバイスの各々について、ポンプ光パルスを入射して、前記光導波路において生成する光子対の同時計数率を測定するステップと、
結合波動方程式に基づいて得られる光子対の理論値ベースの同時計数率を、前記異なる長さに対応する実測値ベースの同時計数率にフィッティングするステップと、
前記フィッティングされた前記理論値ベースの同時計数率から、前記光導波路の単体の非線形係数γ1および前記二次元材料を装荷した前記光導波路の非線形係数γ2を求めるステップと
を備える方法。 - 前記光子対は、シグナル光子およびアイドラー光子であって、前記ポンプ光パルスとの関係で前記光子対が位相整合条件を満たす自発四光波混合過程によって生成されることを特徴とする請求項1に記載の方法。
- 前記フィッティングするステップは、
前記結合波動方程式における二次元材料の長さに対する前記理論値ベースの同時計数率の曲線を、前記二次元材料の前記異なる長さに対する前記測定された同時計数率の複数のプロット点に合わせ込み、
前記曲線および前記複数のプロット点の間の一致を判断し、
前記一致するときの前記非線形係数γ1およびγ2を求めること
を含むことを特徴とする請求項1に記載の方法。 - 前記光導波路の材料の非線形屈折率の仮定値を設定するステップと、
前記仮定値に基づいて、数値計算により得られる前記光導波路の断面方向の電場分布から、非線形係数γ1の理論値を計算するステップと、
フィッティングによって得られた非線形係数γ1の実測値と、前記電場分布から得られた非線形係数γ1の前記理論値との差分を評価するステップと、
前記差分が第1の所定の値以上である場合に、前記仮定値を更新するステップと、
前記差分が前記第1の所定の値を越えない場合に、現在の仮定値を、前記光導波路の材料の非線形屈折率の真値と決定するステップと、
前記二次元材料の非線形屈折率の仮定値を設定するステップと、
前記二次元材料の非線形屈折率の前記仮定値および前記光導波路の非線形屈折率の前記真値に基づいて、数値計算により得られる前記光導波路の断面方向の電場分布から、非線形係数γ2の理論値を計算するステップと、
フィッティングによって得られた非線形係数γ2の実測値と、前記電場分布から得られた非線形係数γ2の前記理論値との差分を評価するステップと、
前記差分が第2の所定の値以上である場合に、前記仮定値を更新するステップと、
前記差分が前記第2の所定の値を越えない場合に、現在の仮定値を、前記二次元材料の非線形屈折率の真値と決定するステップと
をさらに備えることを特徴とする請求項1に記載の方法。
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Citations (8)
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WO2004095124A1 (ja) | 2003-04-22 | 2004-11-04 | Nihon University | 単一光子発生装置 |
JP2006242771A (ja) | 2005-03-03 | 2006-09-14 | Hokkaido Univ | 光学特性測定装置、光学特性測定方法、並びに、それに用いるプログラムおよび記録媒体 |
JP2012048042A (ja) | 2010-08-27 | 2012-03-08 | Oki Electric Ind Co Ltd | 量子相関光子対発生方法及び量子相関光子対発生装置 |
US20160041032A1 (en) | 2014-08-07 | 2016-02-11 | The University Of Bristol | Spectroscopy apparatus and method |
US20160094342A1 (en) | 2014-09-30 | 2016-03-31 | Samsung Electronics Co., Ltd. | Photon pair generator and quantum cryptography system employing the same |
JP2016095440A (ja) | 2014-11-17 | 2016-05-26 | 日本電信電話株式会社 | 多次元量子もつれ状態発生装置 |
US20190391416A1 (en) | 2018-06-21 | 2019-12-26 | PsiQuantum Corp. | Photon Sources with Multiple Cavities for Generation of Individual Photons |
CN111736405A (zh) | 2020-06-22 | 2020-10-02 | 清华大学 | 一种基于圆形空气洞超构材料的纠缠光子对产生系统 |
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Patent Citations (8)
Publication number | Priority date | Publication date | Assignee | Title |
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WO2004095124A1 (ja) | 2003-04-22 | 2004-11-04 | Nihon University | 単一光子発生装置 |
JP2006242771A (ja) | 2005-03-03 | 2006-09-14 | Hokkaido Univ | 光学特性測定装置、光学特性測定方法、並びに、それに用いるプログラムおよび記録媒体 |
JP2012048042A (ja) | 2010-08-27 | 2012-03-08 | Oki Electric Ind Co Ltd | 量子相関光子対発生方法及び量子相関光子対発生装置 |
US20160041032A1 (en) | 2014-08-07 | 2016-02-11 | The University Of Bristol | Spectroscopy apparatus and method |
US20160094342A1 (en) | 2014-09-30 | 2016-03-31 | Samsung Electronics Co., Ltd. | Photon pair generator and quantum cryptography system employing the same |
JP2016095440A (ja) | 2014-11-17 | 2016-05-26 | 日本電信電話株式会社 | 多次元量子もつれ状態発生装置 |
US20190391416A1 (en) | 2018-06-21 | 2019-12-26 | PsiQuantum Corp. | Photon Sources with Multiple Cavities for Generation of Individual Photons |
CN111736405A (zh) | 2020-06-22 | 2020-10-02 | 清华大学 | 一种基于圆形空气洞超构材料的纠缠光子对产生系统 |
Non-Patent Citations (1)
Title |
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Measuring the nonlinear refractive index of graphene using the optical Kerr effect method,Optics Letters,Optical Society of America,2016年07月15日,Vol. 41, No. 14,pp. 3281-3284,doi: 10.1364/OL.41.003281 |
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