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Suppression of Stimulated Raman Scattering via Photon Depletion in a Two-Color Three-Beam Setup

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(2)  .  ϭϴƚŚƵƌŽƉĞĂŶŽŶĨĞƌĞŶĐĞKŶEŽŶͲ>ŝŶĞĂƌKƉƚŝĐĂů^ƉĞĐƚƌŽƐĐŽƉLJ͕ƚŚĞĂŶŶƵĂů ŵĞĞƚŝŶŐĚĞǀŽƚĞĚƚŽĚŝǀĞƌƐĞƚŽƉŝĐƐŝŶƚŚĞĨŝĞůĚŽĨŶŽŶůŝŶĞĂƌŽƉƚŝĐĂů ƐƉĞĐƚƌŽƐĐŽƉLJ͕ŝŶĐůƵĚŝŶŐĐŽŚĞƌĞŶƚZĂŵĂŶƐĐĂƚƚĞƌŝŶŐ͕ŶŽǀĞůůĂƐĞƌƐŽƵƌĐĞƐ͕ ŵŝĐƌŽƐĐŽƉLJ͕ŝŵĂŐŝŶŐ͕ĐŽŵďƵƐƚŝŽŶ͕ƵůƚƌĂĨĂƐƚĂŶĚǀŝďƌĂƚŝŽŶĂůƐƉĞĐƚƌŽƐĐŽƉLJ͘ dŚĞĐŽŶĨĞƌĞŶĐĞŵĂŝŶƚŽƉŝĐƐŽĨƚŚŝƐĞĚŝƚŝŽŶǁŝůůďĞŚŝŐŚůŝŐŚƚĞĚďLJƌĞĐŽŐŶŝnjĞĚ ƐĐŝĞŶƚŝĨŝĐƐƉĞĂŬĞƌƐǁŚŽĂŐƌĞĞĚƚŽĚĞůŝǀĞƌƚŽKEK^ĂƚƚĞŶĚĂŶƚƐƉĞĚĂŐŽŐŝĐ ůĞĐƚƵƌĞƐ͘.  /ŶƚŚĞƚƌĂĚŝƚŝŽŶŽĨƌĞĐĞŶƚLJĞĂƌƐ͕ĂƐƉĞĐŝĂůŝƐƐƵĞ͚KEK^ͬt͛ŽĨƚŚĞ:ŽƵƌŶĂůŽĨ ZĂŵĂŶƐƉĞĐƚƌŽƐĐŽƉLJĨŽƌƚŚĞWƌŽĐĞĞĚŝŶŐƐŽĨƚŚĞĐŽŶĨĞƌĞŶĐĞŝƐƉůĂŶŶĞĚ͘ƵƚŚŽƌ ŝŶĨŽƌŵĂƚŝŽŶƌĞŐĂƌĚŝŶŐƚŚĞƉƌĞƉĂƌĂƚŝŽŶŽĨŵĂŶƵƐĐƌŝƉƚƐĐĂŶďĞĨŽƵŶĚŽŶ:Z^ ǁĞďƉĂŐĞ .

(3) . . KDD/dd^ ^ƚĞĞƌŝŶŐĐŽŵŵŝƚƚĞĞ͗ x x x x x x x x x x x x x x x x x x x. ƌŝŐŝƚƚĞƚƚĂůͲdƌĞƚŽƵƚ;ŚĂŝƌͿʹKEZ;WĂůĂŝƐĞĂƵ͕&ƌĂŶĐĞͿ WĞƌͲƌŝŬĞŶŐƚƐƐŽŶʹ>ƵŶĚhŶŝǀĞƌƐŝƚLJ;^ǁĞĚĞŶͿ ŝŽŶŝƐŝŽĞƌŵĞũŽʹ/ŶƐƚŝƚƵƚŽĚĞƐƚƌƵĐƚƵƌĂĚĞůĂDĂƚĞƌŝĂ;DĂĚƌŝĚ͕^ƉĂŝŶͿ WŝĞƌƌĞ:ŽƵďĞƌƚʹ/ŶƐƚŝƚƵƚhƚŝŶĂŵ;ĞƐĂŶĕŽŶ͕&ƌĂŶĐĞͿ :ŽŚĂŶŶĞƐ<ŝĞĨĞƌʹhŶŝǀĞƌƐŝƚLJŽĨƌĞŵĞŶ;'ĞƌŵĂŶLJͿ ůĞdžĂŶĚĞƌ<ŽƵnjŽǀʹ^ĂŝŶƚWĞƚĞƌƐďƵƌŐ^ƚĂƚĞhŶŝǀĞƌƐŝƚLJ;ZƵƐƐŝĂͿ ŵŝƚƌLJ<ŽnjůŽǀʹZƵƐƐŝĂŶĐĂĚĞŵLJŽĨ^ĐŝĞŶĐĞƐ;DŽƐĐŽǁ͕ZƵƐƐŝĂͿ ƌƵŶŽ>ĂǀŽƌĞůʹ/ŶƐƚŝƚƵƚĂƌŶŽƚĚĞŽƵƌŐŽŐŶĞ;ŝũŽŶ͕&ƌĂŶĐĞͿ DŝĐŚĞůĞDĂƌƌŽĐĐŽʹE;ZŽŵĂ͕/ƚĂůŝĂͿ ƌŶƵůĨDĂƚĞƌŶLJʹhŶŝǀĞƌƐŝƚLJŽĨƌĞŵĞŶ;'ĞƌŵĂŶLJͿ :ƵůŝĂŶDŽŐĞƌʹhŶŝǀĞƌƐŝƚLJŽĨdžĞƚĞƌ;ŶŐůĂŶĚͿ ,ĞƌŵĂŶKĨĨĞƌŚĂƵƐʹhŶŝǀĞƌƐŝƚLJŽĨdǁĞŶƚĞ;ŶƐĐŚĞĚĞ͕EĞƚŚĞƌůĂŶĚƐͿ ĂƌŝŽWŽůůŝʹWŽůŝƚĞĐŶŝĐŽĚŝDŝůĂŶŽ;/ƚĂůLJͿ WĞƚĞƌZĂĚŝʹhŶŝǀĞƌƐŝƚLJŽĨĞƌŶĞ;^ǁŝƐƐͿ DŽŶŝŬĂZŝƚƐĐŚͲDĂƌƚĞʹDĞĚŝĐĂů&ĂĐƵůƚLJŽĨƚŚĞhŶŝǀĞƌƐŝƚLJŽĨ/ŶŶƐďƌƵĐŬ;ƵƐƚƌŝĂͿ DĂĂƌƚĞŶZŽĞĨĨĂĞƌƐʹhŶŝǀĞƌƐŝƚLJŽĨ>ĞƵǀĞŶ;ĞůŐŝƵŵͿ DŝĐŚĂĞů^ĐŚŵŝƚƚʹ&ƌŝĞĚƌŝĐŚͲ^ĐŚŝůůĞƌhŶŝǀĞƌƐŝƚLJ;:ĞŶĂ͕'ĞƌŵĂŶLJͿ dŚŽŵĂƐ^ĞĞŐĞƌʹhŶŝǀĞƌƐŝƚLJŽĨ^ŝĞŐĞŶ;'ĞƌŵĂŶLJͿ ůĞŬƐĞŝŚĞůƚŝŬŽǀʹDŽƐĐŽǁ^ƚĂƚĞhŶŝǀĞƌƐŝƚLJ;ZƵƐƐŝĂͿ. ϮϬϭϵKƌŐĂŶŝƐŝŶŐĐŽŵŵŝƚƚĞĞ ŽͲŚĂŝƌƐ͗WƌŽĨ͘&ƌĠĚĠƌŝĐ'Z/^,ΘƌĞŶŽŠƚZs/h͕KZ/ͲhDZϲϲϭϰ;ZŽƵĞŶ͕&ƌĂŶĐĞͿ͕ ƌŝŐŝƚƚĞdd>ͲdZdKhd͕KEZ;WĂůĂŝƐĞĂƵ͕&ƌĂŶĐĞͿ  KƌŐĂŶŝƐĞƌ͗ŚƌŝƐƚŽƉŚĞ>d/>>hZ͕KZ/ͲhDZϲϲϭϰ;ZŽƵĞŶ͕&ƌĂŶĐĞͿ͘  ^ĞĐƌĞƚĂƌLJ͗&ůŽƌĞŶĐĞ&Zd͕KZ/ͲhDZϲϲϭϰ;ZŽƵĞŶ͕&ƌĂŶĐĞͿ͘  ^ƚĂĨĨ͗ĠĚƌŝĐ,DZ>E;/dŵĂŶĂŐĞƌͿ͕^ĂŢĚ/>,E͕^LJůǀĂŝŶ>'ZK^͕ƌƵŶŽD/>>͕ WƌĂĚŝƉys/Z͕KZ/ͲhDZϲϲϭϰ;ZŽƵĞŶ͕&ƌĂŶĐĞͿ͘.

(4)  . KEK^,ŝƐƚŽƌLJ͕ϯϳLJĞĂƌƐŽĨŚŝƐƚŽƌLJ &ŽƌŵĞƌϭϳĞĚŝƚŝŽŶƐŽĨƚŚĞKEK^DĞĞƚŝŶŐƐ͗ x x x x x x x x x x x x x x x x x. KEK^ϮϬϭϴ͕DŝůĂŶ͕/ƚĂůLJ͕ƉƌŝůϴͲϭϭ KEK^ϮϬϭϳ͕:ĞŶĂ͕'ĞƌŵĂŶLJ͕ƉƌŝůϮͲϱ KEK^ϮϬϭϲ͕'ƂƚĞďŽƌŐ͕^ǁĞĚĞŶ͕ƉƌŝůϮϰͲϮϳ KEK^ϮϬϭϱ͕>ĞƵǀĞŶ͕ĞůŐŝƵŵ͕ƉƌŝůϭϮͲϭϱ KEK^ϮϬϭϰ͕ŽůĞ͕&ƌĂŶĐĞ͕DĂLJϭϭͲϭϰ KEK^ϮϬϭϯ͕džĞƚĞƌ͕h<͕ƉƌŝůϮϮͲϮϰ KEK^ϮϬϭϮ͕ďĞƌĚĞĞŶ͕h<͕:ƵůLJϴͲϭϭ KEK^ϮϬϭϭ͕ŶƐĐŚĞĚĞ͕EĞƚŚĞƌůĂŶĚƐ͕DĂLJϮϯͲϮϱ KEK^ϮϬϭϬ͕ƌĞŵĞŶ͕'ĞƌŵĂŶLJ͕:ƵŶϮϭͲϮϯ KEK^ϮϬϬϵ͕&ƌĂƐĐĂƚŝ͕/ƚĂůLJ͕DĂLJϮϱͲϮϳ KEK^ϮϬϬϴ͕/ŐůƐ͕ƵƐƚƌŝĂ͕DĂLJϮϱͲϮϳ KEK^ϮϬϬϳ͕^ƚ͘WĞƚĞƌƐďƵƌŐ͕ZƵƐƐŝĂ͕DĂLJϭϮͲϭϱ KEK^ϮϬϬϲ͕^ŵŽůĞŶŝĐĞ͕^ůŽǀĂŬZĞƉƵďůŝŬ͕ƉƌŝůϵͲϭϭ KEK^ϮϬϬϱ͕KdžĨŽƌĚ͕hŶŝƚĞĚ<ŝŶŐĚŽŵ͕ƉƌŝůϭϬͲϭϮ KEK^ϮϬϬϰ͕ƌůĂŶŐĞŶ͕'ĞƌŵĂŶLJ͕ƉƌŝůϰͲϲ KEK^ϮϬϬϯ͕ĞƐĂŶĐŽŶ͕&ƌĂŶĐĞ͕DĂƌĐŚϯϬ͕ϯϭĂŶĚƉƌŝůϭ KEK^ϮϬϬϮ͕sŝůůŝŐĞŶ͕^ǁŝƚnjĞƌůĂŶĚ͕DĂƌĐŚϭϴͲϭϵ dŚĂƚŝƐŶŽƚĂůůƚŚĞƐƚŽƌLJ͕ŝŶĚĞĞĚ͕ƚŚĞĐŽŶĨĞƌĞŶĐĞŝƐŶĂŵĞĚKEK^ƐŝŶĐĞϮϬϬϮ͕ĂŶĚ ǁĂƐƉƌĞǀŝŽƵƐůLJĐĂůůĞĚƵƌŽƉĞĂŶZ^ǁŽƌŬƐŚŽƉ͕ƐƚĂƌƚŝŶŐŝŶϭϵϴϮ͊ ϮϬϬϭ͕>ƵŶĚ͕^ǁĞĚĞŶͲϮϬϬϬ͕DŽƐĐŽǁ͕ZƵƐƐŝĂͲϭϵϵϵ͕&ƌĂƐĐĂƚŝ͕/ƚĂůLJͲϭϵϵϴ͕ ĞƐĂŶĕŽŶ͕&ƌĂŶĐĞͲϭϵϵϳ͕,ĞŝĚĞůďĞƌŐ͕'ĞƌŵĂŶLJͲϭϵϵϲ͕^ŚĞĨĨŝĞůĚ͕hŶŝƚĞĚ<ŝŶŐĚŽŵͲ ϭϵϵϱ͕DĂĚƌŝĚ͕^ƉĂŝŶͲϭϵϵϰ͕'ŝĨƐƵƌzǀĞƚƚĞ͕&ƌĂŶĐĞͲϭϵϵϯ͕sŝůůŝŐĞŶ͕^ǁŝƐƐͲϭϵϵϮ͕ &ůŽƌĞŶĐĞ͕/ƚĂůLJͲϭϵϵϭ͕'ĂƌĐŚŝŶŐ͕'ĞƌŵĂŶLJͲϭϵϵϬ͕ŝũŽŶ͕&ƌĂŶĐĞͲϭϵϴϵ͕KdžĨŽƌĚ͕ hŶŝƚĞĚ<ŝŶŐĚŽŵͲϭϵϴϴ͕WŝƐĂ͕/ƚĂůLJͲϭϵϴϳ͕^ƚƵƚƚŐĂƌĚ͕'ĞƌŵĂŶLJͲϭϵϴϲ͕>ƵŶĚ͕ ^ǁĞĚĞŶͲϭϵϴϱ͕ZŽƵĞŶ͕&ƌĂŶĐĞͲϭϵϴϰ͕,ĂƌǁĞůů͕hŶŝƚĞĚ<ŝŶŐĚŽŵͲϭϵϴϯ͕ŚĂƚŝůůŽŶ͕ &ƌĂŶĐĞͲϭϵϴϮ͕,ĂƌǁĞůů͕hŶŝƚĞĚ<ŝŶŐĚŽŵ .

(5) . /ŶƐƚŝƚƵƚŝŽŶĂůƉĂƌƚŶĞƌƐ   .  . . . . . . . . . . .  .  . . . .

(6) /ŶĚƵƐƚƌŝĂůƉĂƌƚŶĞƌƐ . . .  . .   .    .

(7)

(8)  ^ƵŶĚĂLJƉƌŝůϳƚŚ͕ϮϬϭϵ͘  ϭϲ͗ϬϬ  ϭϲ͗ϰϬ  ϭϳ͗ϬϬ. .    tĞůĐŽŵĞŝŶƚŚĞƚŽƵƌŝƐƚŽĨĨŝĐĞŽĨZŽƵĞŶ  KƉĞŶŝŶŐŽĨKEK^ϮϬϭϵďLJ͘ĂƌǀŝĂƵΘ&͘'ƌŝƐĐŚ. <ĞLJŶŽƚĞ ƌŝĐWŽƚŵĂ͕hŶŝǀĞƌƐŝƚLJŽĨĂůŝĨŽƌŶŝĂ/ƌǀŝŶĞ  EŽŶůŝŶĞĂƌŽƉƚŝĐĂůŵŝĐƌŽƐĐŽƉLJŝŶƚŚĞŵŝĚͲŝŶĨƌĂƌĞĚ   ϭϴ͗ϬϬ   ŽĐŬƚĂŝůĚŝŶŶĞƌ   ϭϵ͗ϬϬ   ĂƚŚĞĚƌĂůĐĂƌŝůůŽŶƐĐŽŶĐĞƌƚďLJDƌ>ĂƚŽƵƌ  . DŽŶĚĂLJƉƌŝůϴƚŚ͕ϮϬϭϵ͘  ϴ͗ϬϬ  ϴ͗ϯϬ  ϵ͗ϬϬ    ϵ͗ϰϬ.    ZĞŐŝƐƚƌĂƚŝŽŶ   ^ƉĞĞĐŚĞƐďLJŝŶƐƚŝƚƵƚŝŽŶĂůƌĞƉƌĞƐĞŶƚĂƚŝǀĞƐ  /ŶǀŝƚĞĚƐƉĞĂŬĞƌ :ŽĂŬŝŵŽŽĚ͕>ƵŶĚhŶŝǀĞƌƐŝƚLJ ĂĐŬǁĂƌĚůĂƐŝŶŐĨŽƌƌĂŶŐĞͲƌĞƐŽůǀĞĚĚĞƚĞĐƚŝŽŶŽĨĂƚŽŵŝĐƐƉĞĐŝĞƐ. ůŝ,ŽƐƐĞŝŶŶŝĂ͕>ƵŶĚhŶŝǀĞƌƐŝƚLJ ^ŝŶŐůĞͲƐŚŽƚZĂŵĂŶůŝŶĞǁŝĚƚŚŵĞĂƐƵƌĞŵĞŶƚƐƵƐŝŶŐƚŝŵĞͲƌĞƐŽůǀĞĚŚLJďƌŝĚ ĨĞŵƚŽƐĞĐŽŶĚͬŶĂŶŽƐĞĐŽŶĚƌŽƚĂƚŝŽŶĂůZ^   ϭϬ͗ϬϬ DŝĐŚĂĞů^ĐŚĞƌŵĂŶ͕KEZWĂůĂŝƐĞĂƵ ŵƉůŝĨŝĞĚůĂƐĞƌĂƌĐŚŝƚĞĐƚƵƌĞĨŽƌƵůƚƌĂĨĂƐƚƌŽͲǀŝďƌĂƚŝŽŶĂůĨƐͬƉƐͲZ^ƚŚĞƌŵŽŵĞƚƌLJŝŶ ĨůĂŵĞƐ   ϭϬ͗ϮϬ   K&&Z<ΘWK^dZ^^^/KE .

(9) ϭϭ͗ϬϬ DŝĐŚĞůĞDĂƌƌŽĐĐŽ͕EZŽŵĞ ŚŝƌƉĞĨĨĞĐƚƐŝŶZ^ƐŝŐŶĂůƐŐĞŶĞƌĂƚĞĚďLJĨĞŵƚŽƐĞĐŽŶĚůĂƐĞƌƉƵůƐĞƐƵŶĚĞƌƐƚƌŽŶŐ ĐŚŝƌƉƌĞŐŝŵĞŽĨƚŚĞƉƌŽďĞ   ϭϭ͗ϮϬ ^LJůǀĂŝŶ>ĞŐƌŽƐ͕KZ/ZŽƵĞŶ ^ŝŶŐůĞͲ^ŚŽƚϭŬ,njWWĨƐZ^͗dĞŵƉĞƌĂƚƵƌĞDĞĂƐƵƌĞŵĞŶƚƐ&ƌŽŵƚŵŽƐƉŚĞƌŝĐƚŽ ,ŝŐŚͲWƌĞƐƐƵƌĞŶǀŝƌŽŶŵĞŶƚƐ   ϭϭ͗ϰϬ zĂŶŐZĂŶ͕&ƌŝĞĚƌŝĐŚͲ^ĐŚŝůůĞƌͲhŶŝǀĞƌƐŝƚćƚ:ĞŶĂ ŽůůŝƐŝŽŶͲĨƌĞĞƚǁŽͲďĞĂŵƵůƚƌĂďƌŽĂĚďĂŶĚĐŽŚĞƌĞŶƚĂŶƚŝͲƐƚŽŬĞƐZĂŵĂŶƐĐĂƚƚĞƌŝŶŐ ƐƉĞĐƚƌŽƐĐŽƉLJĨŽƌŚŝŐŚƉƌĞƐƐƵƌĞƚŚĞƌŵŽŵĞƚƌLJ   ϭϮ͗ϬϬ ůĞdžŝƐŽŚůŝŶ͕ĞůĨƚhŶŝǀĞƌƐŝƚLJŽĨdĞĐŚŶŽůŽŐLJ  ^ŝŶŐůĞͲƐŚŽƚZ^ŝŵĂŐŝŶŐŽĨŶĞĂƌͲǁĂůůƚƵƌďƵůĞŶƚƌĞĂĐƚŝŶŐĨůŽǁƐ   ϭϮ͗ϮϬ   >hE,   ϭϯ͗ϱϬ /ŶǀŝƚĞĚƐƉĞĂŬĞƌ ŵŵĂŶƵĞůĞĂƵƌĞƉĂŝƌĞ͕>KWĂůĂŝƐĞĂƵ  DƵůƚŝĐŽůŽƌŵƵůƚŝƉŚŽƚŽŶŵŝĐƌŽƐĐŽƉLJŽĨĚĞǀĞůŽƉŝŶŐĂŶĚŶĞƌǀŽƵƐƚŝƐƐƵĞƐ   ϭϰ͗ϯϬ ^ĂŶĚƌŽ,ĞƵŬĞ͕/ŶƐƚŝƚƵƚ&ƌĞƐŶĞů͕DĂƌƐĞŝůůĞ  ŽŚĞƌĞŶƚĂŶƚŝͲ^ƚŽŬĞƐZĂŵĂŶ&ŽƵƌŝĞƌWƚLJĐŚŽŐƌĂƉŚLJDŝĐƌŽƐĐŽƉLJ  ϭϰ͗ϱϬ dŝĂŐŽƵĐŬƵƉ͕hŶŝǀĞƌƐŝƚćƚ,ĞŝĚĞůďĞƌŐ dŝŵĞͲZĞƐŽůǀĞĚŽŚĞƌĞŶƚZĂŵĂŶ^ƉĞĐƚƌŽƐĐŽƉLJŽĨtŝůĚdLJƉĞĂŶĚDƵƚĂƚĞĚŶĂďĂĞŶĂ ^ĞŶƐŽƌLJZŚŽĚŽƉƐŝŶ   ϭϱ͗ϭϬ   K&&Z<ΘWK^dZ^^^/KE   ϭϱ͗ϱϬ /ŶǀŝƚĞĚƐƉĞĂŬĞƌ ŚŵĞĚďĚĞůŵŽŶĞŵ͕<ĂƌůƐƌƵŚĞ/ŶƐƚŝƚƵƚĞŽĨdĞĐŚŶŽůŽŐLJ DŽůĞĐƵůĂƌůĞǀĞůĐŚĂƌĂĐƚĞƌŝnjĂƚŝŽŶŽĨĂƚŵŽƐƉŚĞƌŝĐĂĞƌŽƐŽůʹǁĂƚĞƌʹŝĐĞŝŶƚĞƌĂĐƚŝŽŶƐ ƵƐŝŶŐŶŽŶůŝŶĞĂƌŽƉƚŝĐĂůƐƉĞĐƚƌŽƐĐŽƉLJ͕ŵĂŝŶůLJ^,'ĂŶĚ^&'   ϭϲ͗ϯϬ DĂdžŝŵŝůŝĂŶƌŝŶŬŵĂŶŶ͕hŶŝǀĞƌƐŝƚLJŽĨDƵĞŶƐƚĞƌ  >ŝǀĞDƵůƚŝͲŽůŽƌŽŚĞƌĞŶƚZĂŵĂŶ/ŵĂŐŝŶŐŶĂďůĞĚďLJĂŽŵƉĂĐƚĂŶĚ ZŽďƵƐƚ>ŝŐŚƚ^ŽƵƌĐĞ . . ϭϲ͗ϱϬ ůĞũĂŶĚƌŽĞůĂĂĚĞŶĂ͕WŽůŝƚĞĐŶŝĐŽĚŝDŝůĂŶŽ  ƌŽĂĚďĂŶĚ^ƚŝŵƵůĂƚĞĚZĂŵĂŶ^ĐĂƚƚĞƌŝŶŐDŝĐƌŽƐĐŽƉLJǁŝƚŚ/ŶͲ>ŝŶĞĂůĂŶĐĞĚͲĞƚĞĐƚŝŽŶ . . ϭϳ͗ϭϬ ĂƌŝŽWŽůůŝ͕WŽůŝƚĞĐŶŝĐŽĚŝDŝůĂŶŽ ZĞƚƌŝĞǀŝŶŐƚŚĞĐŽŵƉůĞdžǀŝďƌĂƚŝŽŶĂůƐƵƐĐĞƉƚŝďŝůŝƚLJǁŝƚŚŝŶƚĞƌĨĞƌŽŵĞƚƌŝĐƐƚŝŵƵůĂƚĞĚ ZĂŵĂŶƐĐĂƚƚĞƌŝŶŐ;ŝ^Z^Ϳ   ϭϴ͗ϯϬ   ,ŝƐƚŽƌŝĂů:ĞĂŶŶĞĚΖƌĐ ŽĐŬƚĂŝůĚŝŶŶĞƌĂŶĚĞŶũŽLJĂƉůĂĐĞƐƚĞĞƉĞĚŝŶŚŝƐƚŽƌLJ. .

(10)  dƵĞƐĚĂLJƉƌŝůϵƚŚ͕ϮϬϭϵ͘   ϴ͗ϯϬ /ŶǀŝƚĞĚƐƉĞĂŬĞƌ tĂƌƵŶĂ<ƵůĂƚŝůĂŬĂ͕dĞdžĂƐΘDhŶŝǀĞƌƐŝƚLJ  hůƚƌĂƐŚŽƌƚͲWƵůƐĞDƵůƚŝͲWŚŽƚŽŶDƵůƚŝͲ^ƉĞĐŝĞƐ/ŵĂŐŝŶŐdĞĐŚŶŝƋƵĞƐĨŽƌ ŽŵďƵƐƚŝŽŶŝĂŐŶŽƐƚŝĐƐ   ϵ͗ϭϬ WĞŶŐũŝŝŶŐ͕>ƵŶĚhŶŝǀĞƌƐŝƚLJ  &ĞŵƚŽƐĞĐŽŶĚdǁŽͲWŚŽƚŽŶďƐŽƌƉƚŝŽŶ>ĂƐĞƌͲ/ŶĚƵĐĞĚ&ůƵŽƌĞƐĐĞŶĐĞ/ŵĂŐŝŶŐŽĨ ƚŽŵŝĐ,LJĚƌŽŐĞŶĂŶĚKdžLJŐĞŶŝŶĂWůĂƐŵĂͲƐƐŝƐƚĞĚDĞƚŚĂŶĞͬŝƌ&ůĂŵĞ   ϵ͗ϯϬ <ŽŶƐƚĂŶƚŝŶ͘sĞƌĞƐŚĐŚĂŐŝŶ͕&ĞĚĞƌĂů^ƚĂƚĞ/ŶƐƚŝƚƵƚŝŽŶŽĨ^ĐŝĞŶĐĞ͘D͘WƌŽŬŚŽƌŽǀ 'ĞŶĞƌĂůWŚLJƐŝĐƐ/ŶƐƚŝƚƵƚĞ 'ĞŶĞƌĂƚŝŽŶŽĨWĂƌĂŵĞƚƌŝĐ^ƵƉĞƌĨůƵŽƌĞƐĐĞŶĐĞďLJWŝĐŽƐĞĐŽŶĚWƵůƐĞƐƵŶĚĞƌ>Žǁ &ƌĞƋƵĞŶĐLJWƵŵƉŝŶ<dWƌLJƐƚĂů   ϵ͗ϱϬ   K&&Z<ΘWK^dZ^^^/KE   ϭϬ͗ϯϬ ůŝ,ŽƐƐĞŝŶŶŝĂ͕>ƵŶĚhŶŝǀĞƌƐŝƚLJ WƵƌĞƌŽƚĂƚŝŽŶĂůĐŽŚĞƌĞŶƚĂŶƚŝͲ^ƚŽŬĞƐZĂŵĂŶƐƉĞĐƚƌŽƐĐŽƉLJŽĨĞƚŚLJůĞŶĞͲŶŝƚƌŽŐĞŶ ŵŝdžƚƵƌĞƐ͕džƉĞƌŝŵĞŶƚƐĂŶĚŵŽĚĞůůŝŶŐ   ϭϬ͗ϱϬ dŚŽŵĂƐtƺƌƚŚǁĞŝŶ͕hŶŝǀĞƌƐŝƚLJŽĨDƺŶƐƚĞƌ ^ƵƉƉƌĞƐƐŝŽŶŽĨ^ƚŝŵƵůĂƚĞĚZĂŵĂŶ^ĐĂƚƚĞƌŝŶŐǀŝĂWŚŽƚŽŶĞƉůĞƚŝŽŶŝŶĂdǁŽͲŽůŽƌ dŚƌĞĞͲĞĂŵ^ĞƚƵƉ   ϭϭ͗ϭϬ DĂůŝŬEĂĨĂ͕EZͬ/EKΘ>E^  d,njͲY>ƐŽƵƌĐĞƐĨŽƌƉƌĞĐŝƐŝŽŶƐƉĞĐƚƌŽƐĐŽƉLJ   ϭϭ͗ϯϬ ĂǀŝĚ^ĞĚĂƌƐŬLJ͕ŚĂůŵĞƌƐhŶŝǀĞƌƐŝƚLJŽĨdĞĐŚŶŽůŽŐLJ  dŝŵĞͲŐĂƚĞĚďĂĐŬͲƐĐĂƚƚĞƌŝŵĂŐŝŶŐŝŶƚƵƌďŝĚŵĞĚŝĂ   ϭϭ͗ϱϬ   >hE,.  . .  .

(11) ϭϯ͗ϮϬ /ŶǀŝƚĞĚƐƉĞĂŬĞƌ ůĞŶĂKďƌĂnjƚƐŽǀĂ͕/ŶƐƚŝƚƵƚĞŽĨZƵƐƐŝĂŶĂĐĂĚĞŵLJŽĨ^ĐŝĞŶĐĞƐ͕DŽƐĐŽǁ  DŽĚŝĨŝĞĚƐŝŶŐůĞͲǁĂůůĐĂƌďŽŶŶĂŶŽƚƵďĞƐĂŶĚŐƌĂƉŚĞŶĞĨŽƌƐĂƚƵƌĂďůĞĂďƐŽƌďĞƌƐ ŝŶƐŽůŝĚƐƚĂƚĞůĂƐĞƌƐ   ϭϰ͗ϬϬ ŶŐĞůĂsĞůůĂ͕'WDZŽƵĞŶ ^ƚƵĚLJŽĨƐƚƌĂŝŶƐĞŶƐŝƚŝǀŝƚLJĂŶĚƐLJŵŵĞƚƌLJŽĨĐŽůŽƌĐĞŶƚĞƌŝŶĚŝĂŵŽŶĚŶĂŶŽƐĐĂůĞŶĞĞĚůĞƐ ďLJĐŽŶƚĂĐƚůĞƐƐŽƉƚŝĐĂůƉŝĞnjŽͲƐƉĞĐƚƌŽƐĐŽƉLJ   ϭϰ͗ϮϬ DŝĐŚĞůĞDĂƌƌŽĐĐŽ͕EZŽŵĞ ůĂƐƐŝĐĂůZĞƉƌĞƐĞŶƚĂƚŝŽŶŽĨEŽŶͲ>ŝŶĞĂƌZĞƐƉŽŶƐĞ&ƵŶĐƚŝŽŶƐĂŶĚƚŚĞŝƌŽŶŶĞĐƚŝŽŶƐƚŽ YƵĂŶƚƵŵͲDĞĐŚĂŶŝĐĂů'ƌĂƉŚŝĐZĞƉƌĞƐĞŶƚĂƚŝŽŶƐĂƐĞĚŽŶŽƵďůĞͲ^ŝĚĞĚ&ĞLJŶŵĂŶ ŝĂŐƌĂŵƐĂŶĚ>ŝŽƵǀŝůůĞ^ƉĂĐĞŽƵƉůŝŶŐ^ĐŚĞŵĞ   ϭϰ͗ϰϬ /ŶĚƵƐƚƌŝĂůƐĞƐƐŝŽŶ >&/͕DW>/dh͕͘W͕͘͘K,ZEd͕&DdK^z͕,KZ/͕D<^EtWKZd͕ EKs͕KWdKE>^Z͕d>zEWZ/EdKE͕d,KZ>^͘   ϭϱ͗ϰϬ   K&&Z<ΘWK^dZ^^^/KE   ϭϲ͗ϬϬ WĞƚĞƌZĂĚŝ͕WĂƵů^ĐŚĞƌƌĞƌ/ŶƐƚŝƚƵƚĞ  džƉĞƌŝŵĞŶƚĂůĞƚĞƌŵŝŶĂƚŝŽŶŽĨƚŚĞWŽƚĞŶƚŝĂůŶĞƌŐLJ&ƵŶĐƚŝŽŶŽĨƚŚĞ ŽƉƉĞƌŝŵĞƌ'ƌŽƵŶĚ^ƚĂƚĞ   ϭϲ͗ϮϬ ,ĂŝƐƵŚĂŶŐ͕hŶŝǀĞƌƐŝƚĠĚĞŽƵƌŐŽŐŶĞ&ƌĂŶĐŚĞŽŵƚĠ  ZŽƚĂƚŝŽŶĂůĞĐŚŽĞƐ͗ĂǀĞƌƐĂƚŝůĞƚŽŽůĨŽƌŝŶǀĞƐƚŝŐĂƚŝŶŐƵůƚƌĂĨĂƐƚĚŝƐƐŝƉĂƚŝŽŶ   ϭϲ͗ϰϬ /ƌLJŶĂ'ŽnjŚLJŬ͕hDZϭϮϱEZ^ͬ^ĂŝŶƚͲ'ŽďĂŝŶ  ŽƌƌĞĐƚŝŽŶŽĨƉůĂƐŵĂĞŵŝƐƐŝŽŶŝŶƌĞĨůĞĐƚŝǀŝƚLJƐƉĞĐƚƌŽƐĐŽƉLJĚƵƌŝŶŐ ƐƉƵƚƚĞƌŝŶŐĚĞƉŽƐŝƚŝŽŶ   ϭϳ͗ϯϬ   ZŽƵĞŶƉĞĚĞƐƚƌŝĂŶŐƵŝĚĞĚƚŽƵƌ   ϭϵ͗ϬϬ   ŽŶĨĞƌĞŶĐĞĚŝŶŶĞƌŝŶΗ>ĂŚĂůůĞĂƵdžƚŽŝůĞƐΗŽĨZŽƵĞŶ . . . . .

(12) tĞĚŶĞƐĚĂLJƉƌŝůϭϬƚŚ͕ϮϬϭϵ͘   ϵ͗ϬϬ /ŶǀŝƚĞĚƐƉĞĂŬĞƌ ĂƚĞƌŝŶĂDĞƌůĂ͕EZŽŵĂ tŝĚĞĨŝĞůĚZ^ŵŝĐƌŽƐƉĞĐƚƌŽƐĐŽƉLJĂŶĚƌĞĂůͲƚŝŵĞĨŽůůŽǁͲƵƉŽĨŚLJĚƌĂƚŝŽŶĐŚĂŶŐĞƐ ŝŶĚƵĐĞĚďLJĞůĞĐƚƌŽƉƵůƐĂƚŝŽŶŽĨůŝƉŽƐŽŵĞƐ   ϵ͗ϰϬ >ƵŝƐDŝƌ͕EZ^sŝůůĞũƵŝĨ ŽŶĨŽĐĂůZĂŵĂŶDŝĐƌŽƐƉĞĐƚƌŽƐĐŽƉLJƚŽ/ŶǀĞƐƚŝŐĂƚĞƚŚĞŽŶƐĞƋƵĞŶĐĞƐŽĨƚŚĞĞůŝǀĞƌLJ ŽĨůĞĐƚƌŝĐWƵůƐĞƐƚŽ>ŝǀĞĞůůƐ   ϭϬ͗ϬϬ sŝŬĂƐ<hDZ͕hŶŝǀĞƌƐŝƚLJŽĨƵŝƐďƵƌŐƐƐĞŶ dŝŵĞʹĂŶĚƉŽůĂƌŝnjĂƚŝŽŶͲƌĞƐŽůǀĞĚZ^ƐƉĞĐƚƌŽƐĐŽƉLJŽĨ ɲͲEW;ϮͲ;Ϯ͕ϰͲĚŝŶŝƚƌŽďĞŶnjLJůͿƉLJƌŝĚŝŶĞͿŝŶƚŚĞĞůĞĐƚƌŽŶŝĐŐƌŽƵŶĚƐƚĂƚĞ   ϭϬ͗ϮϬ   K&&Z<   ϭϭ͗ϬϬ WŝĞƌƌĞ'ŝůůŝŽƚ͕WD^^ƚƌĂƐďŽƵƌŐ  ^ƚƌƵĐƚƵƌĞĚŝůůƵŵŝŶĂƚŝŽŶĞdžƉĞƌŝŵĞŶƚƐǁŝƚŚǀŽƌƚĞdžďĞĂŵƐ   ϭϭ͗ϮϬ dŚŽŵĂƐ'ŽĚŝŶ͕KZ/ZŽƵĞŶ  WŚŽƚŽŶŝĐƚŝŵĞͲƐƚƌĞƚĐŚ͗ĂƉƉůŝĐĂƚŝŽŶƐƚŽƵůƚƌĂĨĂƐƚƐƉĞĐƚƌŽƐĐŽƉLJĂŶĚƌĞĂůͲƚŝŵĞŝŵĂŐŝŶŐ   ϭϭ͗ϰϬ ůŽƐŝŶŐΘŝŶƚƌŽ͘ƚŽKEK^ϮϬϮϬ   ϭϮ͗ϬϬ   >hE,   ϭϰ͗ϬϬ KZ/>ĂďƚŽƵƌ͕^ĂŝŶƚƚŝĞŶŶĞĚƵZŽƵǀƌĂLJ͕^ƵďƐĐƌŝƉƚŝŽŶŶĞĞĚĞĚ.

(13)

(14) . ^ŽĐŝĂůǀĞŶƚƐ ^ƵŶĚĂLJ͕ĂƉƌŝůϳƚŚĨƌŽŵϰƉŵͲtĞůĐŽŵĞƌĞĐĞƉƚŝŽŶŝŶƚŚĞƚŽƵƌŝƐƚŽĨĨŝĐĞ;ŝŶĨƌŽŶƚŽĨ ƚŚĞĐĂƚŚĞĚƌĂůͿ.  ^ĞƚƚůĞĚŝŶƚŚŝƐZĞŶĂŝƐƐĂŶĐĞŵĂŶƐŝŽŶ͕ĨƌŽŵ&ĞďƌƵĂƌLJƚŽŵŝĚͲƉƌŝůϭϴϵϮĂŶĚϭϴϵϯŝƚǁĂƐŚĞƌĞ ƚŚĂƚůĂƵĚĞDŽŶĞƚƉĂŝŶƚĞĚŚŝƐĨĂŵŽƵƐƐĞƌŝĞƐŽĨƚŚŝƌƚLJƉĂŝŶƚŝŶŐƐŽĨƚŚĞǁĞƐƚĞƌŶĨĂĐĂĚĞŽĨ EŽƚƌĞĂŵĞĂƚŚĞĚƌĂů͘ůĂƵĚĞDŽŶĞƚ͛ƐƐƚƵĚŝŽ͕ĂƉƌĞƐƚŝŐŝŽƵƐƌŽŽŵĂƚƚŚĞŚĞĂƌƚŽĨZŽƵĞŶ͙.  ϳƉŵ͗ĂƌŝůůŽŶĐŽŶĐĞƌƚŽĨƚŚĞĐĂƚŚĞĚƌĂů. .

(15) DŽŶĚĂLJ͕ĂƉƌŝůϴƚŚ͕ϲ͗ϯϬƉŵ ŽĐŬƚĂŝůŝŶƚŚĞ͞:ĞĂŶŶĞĚ͛ƌĐŚŝƐƚŽƌŝĂů͟. .  dƵĞƐĚĂLJ͕ĂƉƌŝůϵƚŚ ϱ͗ϯϬƉŵ͗ZŽƵĞŶŐƵŝĚĞĚƚŽƵƌ.  ϳ͗ϬϬƉŵ͗KEK^ŝŶŶĞƌŝŶƚŚĞ͞,ĂůůĞĂƵdžƚŽŝůĞƐ͟ŽĨZŽƵĞŶ͘. .

(16)

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(140) Broadband Stimulated Raman Scattering Microscopy with In-Line Balanced-Detection Alejandro De la Cadena, Andrea Ragni, Giuseppe Sciortino, Giorgio Ferrari, Marco Sampietro, Giulio Cerullo and Dario Polli Politecnico di Milano, Piazza L. da Vinci 32, 20133 Milano (Italy). Stimulated Raman scattering (SRS) is an increasingly employed technique in optical nonlinear microscopy, as it is capable of identifying different chemical species and their concentration in a sample. It exploits the third-order nonlinear optical response of the specimen to ultrashort pump and Stokes pulses, by setting up and detecting a vibrational coherence within the ensemble of molecules inside the laser focus. In its broadband modality, SRS excites a manifold of molecular vibrational bands, thus providing more information about the chemical composition of the sample compared to the narrowband version. It therefore opens up the possibility to discriminate chemical species with overlapping Raman signatures. We report here on an innovative broadband SRS setup capable of high-speed imaging in the C-H stretching region (2800-3050 cm-1). It is based on a homemade optical parametric oscillator at 80-MHz repetition rate [1]. It delivers broadband pump pulses in the 780-810 QPUHJLRQDQGQDUURZEDQG §FP-1) Stokes pulses at 1040-nm, PRGXODWHGDW§0+]IUHTXHQF\LQRUGHUWRGHWHFWWKHVWLPXODWHG5DPDQORVV 65/

(141) RIWKHSXPS. To increase the signal-to-noise ratio, which is typically limited by the relative intensity noise fluctuations of the laser source, we take advantage of the in-line balanced detection scheme [2] (see Fig. 1(a)). A birefringent plate is placed before the sample in the broadband pump branch, to generate two replicas with orthogonal polarization, one serving as the pump pulse for SRS and the second as a reference for balancing purposes. Both replicas interact with the sample, although only one temporally coincides with the narrowband Stokes beam DQGXQGHUJRHV65/. In this way, the reference pulse experiences the same local attenuation, due to spatially varying sample transmission, but it does not bear any modulation transfer due to SRS. After the sample, a spectral filter rejects the Stokes while the pump/reference pulses are dispersed with a transmissiRQ JUDWLQJ LQ /LWWURZ FRQILJXUDWLRQ, separated with a polarizing beam splitter and sent to different photodiodes for the pump and the reference beams. Their intensities are electronically subtracted before demodulation, thus reaching close to shot-noise-limited detection. SRS detection can be performed in two modalities. In the first (IBD-G, see left inset of Fig. 1(a)), an off-theshelf balanced photodiode with two single-pixel detectors is employed, whose output is connected to a standard single-channel lock-in amplifier, employed at maximum speed (1.8-ȝV LQWHJUDWLRQ WLPH

(142) . Retrieval of the vibrational spectrum is performed by varying the detected pump wavelength after the sample by means of a singleaxis galvanometric scanning mirror. Figures 1(b-c) report imaging results on a test sample made of dispersed PMMA (6-ȝP GLDPHWHU VHH UHG VSKHUHV LQ SDQHO F

(143)  DW 2956 cm-1) and polystyrene (3-ȝP GLDPHWHU VHH EOXH spheres in panel (d) at 3066 cm-1) beads. Panel (d) shows the image collected at 3005 cm-1, in which both specimens are visible due to overlapping vibrational features. Fig. 1(e) reports exemplary SRS spectra of PS and PMMA. In the second detection modality, a home-made multi-channel lock-in amplifier (M-/,$, see right inset of Fig. 1(a)) [3] is employed with 4 parallel channels and 10-ȝVLQWHJUDWLRQWLPH constant, thus allowing very fast SRS imaging at 4 distinct frequencies. In the future, the system will be upgraded to a 32-channel M-/,$. Fig. 1 (a) Scheme of the experimental set-up, showing the two possible detection schemes employing either a galvanometric scanner (IBD-G, on the left) or a multi-channel lock-in amplifier (M-/,$RQWKHULJKW

(144) (b-c-d) SRS imaging of PMMA and PS beads at 2956 (c), 3066 (d) and 3005 cm-1 (e) Raman shift. 6FDOHEDUȝP (e) Raman spectra of the two components. >1@ N. Coluccelli, D. Viola, V. Kumar, A. Perri, M. Marangoni, G. Cerullo, and D. Polli, “Tunable 30 fs light pulses at 1 W power level from a Yb-pumped optical parametric oscillator´2SW/HWW42, 4545 (2017). >2@ F. Crisafi, V. Kumar, T. Scopigno, M. Marangoni, G. Cerullo, and D. Polli, “In-line balanced detection stimulated Raman scattering microscopy”, Sci. Rep. 7, 10745 (2017). [3] A. Ragni, G. Sciortino, M. Sampietro, G. Ferrari, and D. Polli, “/RFN-In Based Differential Front-End for Raman Spectroscopy Applications”, 14th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME) 1, 221–224 (2018)..

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