Abstract

Applications of wavelet analysis in ultra-thin film transient reflectivity (TR) measurements have been investigated. Advantages of utilizing different localized wavelet bases, in position and time, have been addressed on the residual TR signals. Morse wavelets have been used to obtain information from the abrupt oscillatory modes in the signal, which are not distinguishable with conventional methods such as Fourier transforms. These abrupt oscillatory modes are caused by the surface, interface, or any short-lived oscillatory modes which are suppressed in the TR signal in ultra-thin films. It is demonstrated that by choosing different Morse wavelets, information regarding different oscillatory modes in the TR signal of a heterostructure thin film is achievable. Moreover, by performing wavelet analysis on multiferroic heterostructures, oscillatory modes with very close energy ranges are easily distinguishable. For illustration, residuals of the TR signals have been obtained by a pump-probe setup in reflectivity mode on La0.7Sr0.3MnO3/SrTiO3 and BaTiO3/La0.7Sr0.3MnO3/SrTiO3 samples, where sufficient signal to noise ratios have been achieved by taking multiple scans. The residual signals have been analyzed with Morse wavelets, and multiple oscillatory modes with close energy ranges have been observed and distinguished. This approach can isolate the location of various oscillatory modes at the surface, interface and in the bulk of the heterostructure sample.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2019 (1)

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

2018 (1)

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

2017 (1)

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

2016 (2)

L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
[Crossref]

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Nonlinear optical observation of coherent acoustic Dirac plasmons in thin-film topological insulators,” Nat. Commun. 7(1), 13054 (2016).
[Crossref] [PubMed]

2015 (2)

2013 (4)

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

M. Beye, Ph. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, “Time resolved resonant inelastic X-ray scattering: A supreme tool to understand dynamics in solids and molecules,” J. Electron Spectrosc. Relat. Phenom. 188, 172–182 (2013).
[Crossref]

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

W. K. Ngui, M. S. Leong, L. M. Hee, and A. M. Abdelrhman, “Wavelet analysis: Mother wavelet selection methods,” Appl. Mech. Mater. 393, 953–958 (2013).
[Crossref]

2012 (3)

J. M. Lilly and S. C. Olhede, “Generalized Morse wavelets as a superfamily of analytic wavelets,” IEEE Trans. Signal Process. 60(11), 6036–6041 (2012).
[Crossref]

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

C. H. Baker, D. A. Jordan, and P. M. Norris, “Application of the wavelet transform to nanoscale thermal transport,” Phys. Rev. B Condens. Matter Mater. Phys. 86(10), 104306 (2012).
[Crossref]

2010 (1)

A. Dejneka, M. Tyunina, J. Narkilahti, J. Levoska, D. Chvostova, L. Jastrabik, and V. A. Trepakov, “Tensile strain induced changes in the optical spectra of SrTiO3 epitaxial thin films,” Phys. Solid State 52(10), 2082–2089 (2010).
[Crossref]

2009 (1)

J. Timoshenko and A. Kuzmin, “Wavelet data analysis of EXAFS spectra,” Comput. Phys. Commun. 180(6), 920–925 (2009).
[Crossref]

2008 (1)

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

2006 (1)

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

2004 (1)

R. R. Das, Yu. I. Yuzyuk, P. Bhattacharya, V. Gupta, and R. S. Katiyar, “Folded acoustic phonons and soft mode dynamics in BaTiO3/SrTiO3 superlattices,” Phys. Rev. B Condens. Matter Mater. Phys. 69(13), 132302 (2004).
[Crossref]

2003 (3)

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

X.-G. Shao, A. K.-M. Leung, and F.-T. Chau, “Wavelet: a new trend in chemistry,” Acc. Chem. Res. 36(4), 276–283 (2003).
[Crossref] [PubMed]

R. S. Pathak and M. M. Dixit, “Continuous and discrete Bessel wavelet transforms,” J. Comput. Appl. Math. 160(1-2), 241–250 (2003).
[Crossref]

2002 (1)

S. C. Olhede and A. T. Walden, “Generalized Morse wavelets,” IEEE Trans. Signal Process. 50(11), 2661–2670 (2002).
[Crossref]

1991 (2)

R. Navarro and A. Tabernero, “Gaussian wavelet transform: Two alternative fast implementations for images,” Multidimens. Syst. Signal Process. 2(4), 421–436 (1991).
[Crossref]

O. Rioul and M. Vetterli, “Wavelets and signal processing,” IEEE Signal Process. Mag. 8(4), 14–38 (1991).
[Crossref]

1990 (1)

B. R. Bennett, R. A. Soref, and J. A. D. Alamo, “Carrier-induced change in refractive index of InP, GaAs and InGaAsP,” IEEE J. Quantum Electron. 26(1), 113–122 (1990).
[Crossref]

1987 (2)

Abdelrhman, A. M.

W. K. Ngui, M. S. Leong, L. M. Hee, and A. M. Abdelrhman, “Wavelet analysis: Mother wavelet selection methods,” Appl. Mech. Mater. 393, 953–958 (2013).
[Crossref]

Aguesse, F.

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

Alamo, J. A. D.

B. R. Bennett, R. A. Soref, and J. A. D. Alamo, “Carrier-induced change in refractive index of InP, GaAs and InGaAsP,” IEEE J. Quantum Electron. 26(1), 113–122 (1990).
[Crossref]

Alford, N. M.

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

Argüeso, F.

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

Averitt, R. D.

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Axelsson, A. K.

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

Aybush, A.

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

Aziziha, M.

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Babakiray, S.

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Nonlinear optical observation of coherent acoustic Dirac plasmons in thin-film topological insulators,” Nat. Commun. 7(1), 13054 (2016).
[Crossref] [PubMed]

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3,” J. Appl. Phys. 117(16), 165703 (2015).
[Crossref]

Bakarezos, M.

Baker, C. H.

C. H. Baker, D. A. Jordan, and P. M. Norris, “Application of the wavelet transform to nanoscale thermal transport,” Phys. Rev. B Condens. Matter Mater. Phys. 86(10), 104306 (2012).
[Crossref]

Balatsky, A. V.

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Bargheer, M.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Bennett, B. R.

B. R. Bennett, R. A. Soref, and J. A. D. Alamo, “Carrier-induced change in refractive index of InP, GaAs and InGaAsP,” IEEE J. Quantum Electron. 26(1), 113–122 (1990).
[Crossref]

Beye, M.

M. Beye, Ph. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, “Time resolved resonant inelastic X-ray scattering: A supreme tool to understand dynamics in solids and molecules,” J. Electron Spectrosc. Relat. Phenom. 188, 172–182 (2013).
[Crossref]

Bhandari, G.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Bhattacharya, P.

R. R. Das, Yu. I. Yuzyuk, P. Bhattacharya, V. Gupta, and R. S. Katiyar, “Folded acoustic phonons and soft mode dynamics in BaTiO3/SrTiO3 superlattices,” Phys. Rev. B Condens. Matter Mater. Phys. 69(13), 132302 (2004).
[Crossref]

Bojahr, A.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Bristow, A. D.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Cabrera, G. B.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Chau, F.-T.

X.-G. Shao, A. K.-M. Leung, and F.-T. Chau, “Wavelet: a new trend in chemistry,” Acc. Chem. Res. 36(4), 276–283 (2003).
[Crossref] [PubMed]

Chen, L. Y.

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

Cherepanov, A. D.

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Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3,” J. Appl. Phys. 117(16), 165703 (2015).
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S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
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Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3,” J. Appl. Phys. 117(16), 165703 (2015).
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Lederman, D.

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Nonlinear optical observation of coherent acoustic Dirac plasmons in thin-film topological insulators,” Nat. Commun. 7(1), 13054 (2016).
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K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
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K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
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R. S. Pathak and M. M. Dixit, “Continuous and discrete Bessel wavelet transforms,” J. Comput. Appl. Math. 160(1-2), 241–250 (2003).
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Persechini, L.

L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
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L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
[Crossref]

Rioul, O.

O. Rioul and M. Vetterli, “Wavelets and signal processing,” IEEE Signal Process. Mag. 8(4), 14–38 (1991).
[Crossref]

Romero, A. H.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Sander, M.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Sanz, J. L.

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

Schick, D.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Schüßler-Langeheine, C.

M. Beye, Ph. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, “Time resolved resonant inelastic X-ray scattering: A supreme tool to understand dynamics in solids and molecules,” J. Electron Spectrosc. Relat. Phenom. 188, 172–182 (2013).
[Crossref]

Seehra, M. S.

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Shao, X.-G.

X.-G. Shao, A. K.-M. Leung, and F.-T. Chau, “Wavelet: a new trend in chemistry,” Acc. Chem. Res. 36(4), 276–283 (2003).
[Crossref] [PubMed]

Shayduk, R.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Shelaev, I.

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

Singh, S.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Soref, R. A.

B. R. Bennett, R. A. Soref, and J. A. D. Alamo, “Carrier-induced change in refractive index of InP, GaAs and InGaAsP,” IEEE J. Quantum Electron. 26(1), 113–122 (1990).
[Crossref]

Synowicki, R. A.

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

Tabernero, A.

R. Navarro and A. Tabernero, “Gaussian wavelet transform: Two alternative fast implementations for images,” Multidimens. Syst. Signal Process. 2(4), 421–436 (1991).
[Crossref]

Talbayev, D.

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Tatarakis, M.

Taylor, A. J.

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Timoshenko, J.

J. Timoshenko and A. Kuzmin, “Wavelet data analysis of EXAFS spectra,” Comput. Phys. Commun. 180(6), 920–925 (2009).
[Crossref]

Titov, A.

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

Toffolatti, L.

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

Trappen, R.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Trappen, R. B.

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Trepakov, V. A.

A. Dejneka, M. Tyunina, J. Narkilahti, J. Levoska, D. Chvostova, L. Jastrabik, and V. A. Trepakov, “Tensile strain induced changes in the optical spectra of SrTiO3 epitaxial thin films,” Phys. Solid State 52(10), 2082–2089 (2010).
[Crossref]

Trugman, S. A.

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Tsibidis, G. D.

Tyunina, M.

A. Dejneka, M. Tyunina, J. Narkilahti, J. Levoska, D. Chvostova, L. Jastrabik, and V. A. Trepakov, “Tensile strain induced changes in the optical spectra of SrTiO3 epitaxial thin films,” Phys. Solid State 52(10), 2082–2089 (2010).
[Crossref]

Tzianaki, E.

Uen, T. M.

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

Umanskiy, S.

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

Venema, L.

L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
[Crossref]

Verberck, B.

L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
[Crossref]

Vetterli, M.

O. Rioul and M. Vetterli, “Wavelets and signal processing,” IEEE Signal Process. Mag. 8(4), 14–38 (1991).
[Crossref]

Vielva, P.

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

Vrejoiu, I.

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

Walden, A. T.

S. C. Olhede and A. T. Walden, “Generalized Morse wavelets,” IEEE Trans. Signal Process. 50(11), 2661–2670 (2002).
[Crossref]

Wernet, Ph.

M. Beye, Ph. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, “Time resolved resonant inelastic X-ray scattering: A supreme tool to understand dynamics in solids and molecules,” J. Electron Spectrosc. Relat. Phenom. 188, 172–182 (2013).
[Crossref]

Wu, K. H.

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

Yang, J. C.

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

Ye, J.

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

Yousefi, S.

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Yousefi Sarraf, S.

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Yuzyuk, Yu. I.

R. R. Das, Yu. I. Yuzyuk, P. Bhattacharya, V. Gupta, and R. S. Katiyar, “Folded acoustic phonons and soft mode dynamics in BaTiO3/SrTiO3 superlattices,” Phys. Rev. B Condens. Matter Mater. Phys. 69(13), 132302 (2004).
[Crossref]

Acc. Chem. Res. (1)

X.-G. Shao, A. K.-M. Leung, and F.-T. Chau, “Wavelet: a new trend in chemistry,” Acc. Chem. Res. 36(4), 276–283 (2003).
[Crossref] [PubMed]

ACS Nano (1)

S. Yousefi Sarraf, S. Singh, A. C. Garcia-Castro, R. Trappen, N. Mottaghi, G. B. Cabrera, C.-Y. Huang, S. Kumari, G. Bhandari, A. D. Bristow, A. H. Romero, and M. B. Holcomb, “Surface recombination in ultra-fast carrier dynamics of perovskite oxide La0.7Sr0.3MnO3 thin films,” ACS Nano 13(3), 3457–3465 (2019).
[Crossref] [PubMed]

Appl. Mech. Mater. (1)

W. K. Ngui, M. S. Leong, L. M. Hee, and A. M. Abdelrhman, “Wavelet analysis: Mother wavelet selection methods,” Appl. Mech. Mater. 393, 953–958 (2013).
[Crossref]

Appl. Phys. Lett. (1)

L. Y. Chen, J. C. Yang, C. W. Luo, C. W. Laing, K. H. Wu, J.-Y. Lin, T. M. Uen, J. Y. Juang, Y. H. Chu, and T. Kobayashi, “Ultrafast photoinduced mechanical strain in epitaxial BiFeO3 thin films,” Appl. Phys. Lett. 101(4), 041902 (2012).
[Crossref]

Appl. Spectrosc. (1)

Comput. Phys. Commun. (1)

J. Timoshenko and A. Kuzmin, “Wavelet data analysis of EXAFS spectra,” Comput. Phys. Commun. 180(6), 920–925 (2009).
[Crossref]

IEEE J. Quantum Electron. (1)

B. R. Bennett, R. A. Soref, and J. A. D. Alamo, “Carrier-induced change in refractive index of InP, GaAs and InGaAsP,” IEEE J. Quantum Electron. 26(1), 113–122 (1990).
[Crossref]

IEEE Signal Process. Mag. (1)

O. Rioul and M. Vetterli, “Wavelets and signal processing,” IEEE Signal Process. Mag. 8(4), 14–38 (1991).
[Crossref]

IEEE Trans. Signal Process. (2)

S. C. Olhede and A. T. Walden, “Generalized Morse wavelets,” IEEE Trans. Signal Process. 50(11), 2661–2670 (2002).
[Crossref]

J. M. Lilly and S. C. Olhede, “Generalized Morse wavelets as a superfamily of analytic wavelets,” IEEE Trans. Signal Process. 60(11), 6036–6041 (2012).
[Crossref]

J. Appl. Phys. (1)

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3,” J. Appl. Phys. 117(16), 165703 (2015).
[Crossref]

J. Comput. Appl. Math. (1)

R. S. Pathak and M. M. Dixit, “Continuous and discrete Bessel wavelet transforms,” J. Comput. Appl. Math. 160(1-2), 241–250 (2003).
[Crossref]

J. Electron Spectrosc. Relat. Phenom. (1)

M. Beye, Ph. Wernet, C. Schüßler-Langeheine, and A. Föhlisch, “Time resolved resonant inelastic X-ray scattering: A supreme tool to understand dynamics in solids and molecules,” J. Electron Spectrosc. Relat. Phenom. 188, 172–182 (2013).
[Crossref]

J. Opt. Soc. Am. A (1)

J. Phys. Condens. Matter (1)

N. Mottaghi, R. B. Trappen, S. Kumari, C.-Y. Huang, S. Yousefi, G. B. Cabrera, M. Aziziha, A. Haertter, M. B. Johnson, M. S. Seehra, and M. B. Holcomb, “Observation and interpretation of negative remanent magnetization and inverted hysteresis loops in a thin film of La0.7Sr0.3MnO3,” J. Phys. Condens. Matter 30(40), 405804 (2018).
[Crossref] [PubMed]

Mon. Not. R. Astron. Soc. (1)

J. González-Nuevo, F. Argüeso, M. López-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz, “The Mexican hat wavelet family: Application to point-source detection in cosmic microwave background maps,” Mon. Not. R. Astron. Soc. 369(4), 1603–1610 (2006).
[Crossref]

Multidimens. Syst. Signal Process. (1)

R. Navarro and A. Tabernero, “Gaussian wavelet transform: Two alternative fast implementations for images,” Multidimens. Syst. Signal Process. 2(4), 421–436 (1991).
[Crossref]

Nanomaterials (Basel) (1)

V. Nadtochenko, N. Denisov, A. Aybush, F. Gostev, I. Shelaev, A. Titov, S. Umanskiy, and A. D. Cherepanov, “Ultrafast spectroscopy of Fano-like resonance between optical phonon and excitons in CdSe quantum dots: Dependence of coherent vibrational wave-packet dynamics on pump fluence,” Nanomaterials (Basel) 7(11), 371 (2017).
[Crossref] [PubMed]

Nat. Commun. (1)

Y. D. Glinka, S. Babakiray, T. A. Johnson, M. B. Holcomb, and D. Lederman, “Nonlinear optical observation of coherent acoustic Dirac plasmons in thin-film topological insulators,” Nat. Commun. 7(1), 13054 (2016).
[Crossref] [PubMed]

Nat. Phys. (1)

L. Venema, B. Verberck, I. Georgescu, G. Prando, E. Couderc, S. Milana, M. Maragkou, L. Persechini, G. Pacchioni, and L. Fleet, “The quasiparticle zoo,” Nat. Phys. 12(12), 1085–1089 (2016).
[Crossref]

Opt. Express (1)

Phys. Rev. B Condens. Matter Mater. Phys. (4)

K. I. Doig, F. Aguesse, A. K. Axelsson, N. M. Alford, S. Nawaz, V. R. Palkar, S. P. P. Jones, R. D. Johnson, R. A. Synowicki, and J. Lloyd-Hughes, “Coherent magnon and acoustic phonon dynamics in tetragonal and rare-earth-doped BiFeO3 multiferroic thin films,” Phys. Rev. B Condens. Matter Mater. Phys. 88(9), 094425 (2013).
[Crossref]

C. H. Baker, D. A. Jordan, and P. M. Norris, “Application of the wavelet transform to nanoscale thermal transport,” Phys. Rev. B Condens. Matter Mater. Phys. 86(10), 104306 (2012).
[Crossref]

R. Shayduk, M. Herzog, A. Bojahr, D. Schick, P. Gaal, W. Leitenberger, H. Navirian, M. Sander, J. Goldshteyn, I. Vrejoiu, and M. Bargheer, “Direct time-domain sampling of subterahertz coherent acoustic phonon spectra in SrTiO3 using ultrafast X-ray diffraction,” Phys. Rev. B Condens. Matter Mater. Phys. 87(18), 184301 (2013).
[Crossref]

R. R. Das, Yu. I. Yuzyuk, P. Bhattacharya, V. Gupta, and R. S. Katiyar, “Folded acoustic phonons and soft mode dynamics in BaTiO3/SrTiO3 superlattices,” Phys. Rev. B Condens. Matter Mater. Phys. 69(13), 132302 (2004).
[Crossref]

Phys. Rev. Lett. (1)

D. Talbayev, S. A. Trugman, A. V. Balatsky, T. Kimura, A. J. Taylor, and R. D. Averitt, “Detection of coherent magnons via ultrafast pump-probe reflectance spectroscopy in multiferroic Ba0.6Sr1.4Zn2Fe12O22.,” Phys. Rev. Lett. 101(9), 097603 (2008).
[Crossref] [PubMed]

Phys. Solid State (1)

A. Dejneka, M. Tyunina, J. Narkilahti, J. Levoska, D. Chvostova, L. Jastrabik, and V. A. Trepakov, “Tensile strain induced changes in the optical spectra of SrTiO3 epitaxial thin films,” Phys. Solid State 52(10), 2082–2089 (2010).
[Crossref]

Rev. Mod. Phys. (1)

S. T. Cundiff and J. Ye, “Colloquium: Femtosecond optical frequency combs,” Rev. Mod. Phys. 75(1), 325–342 (2003).
[Crossref]

Other (5)

C. Valens, “A Really Friendly Guide to Wavelets” (1999). http://math.ecnu.edu.cn/~qgu/friendintro.pdf .

G. Kaiser, “A Friendly Guide to Wavelets,” Birkhäuser, (2011).

F. Meyer, “Wavelets and Applications,” Proceedings of the International Congress of Mathematicians, 1619–1626 (1990).

T. F. Chan and J. J. Shen, “Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods,” SIAM, (2005).

A. Bernardino and J. Santos-Victor, “A real-time Gabor primal sketch for visual attention,” in Pattern Recognition and Image Analysis, J. S. Marques, N. Pérez de la Blanca, and P. Pina, eds. Springer Berlin Heidelberg. 3522, 335–342 (2005).

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Figures (5)

Fig. 1
Fig. 1 (a) and (b) Real, imaginary and absolute parts of the Morse wavelets. (c) and (d) The frequency-time domain representative of a and b with concentration area of 2 (Figs only depict the positive frequencies). (e) and (f) Wavelet transforms of different Morse wavelets on the same residual TR signal. Morse parameters are γ =3, β = 20, for a, c, and e, and γ = 60, β = 2 for b, d, and f.
Fig. 2
Fig. 2 (a) Schematic of the TR experiment and the oscillatory signal in LSMO/STO sample. (b) TR signal for LSMO thin film indicating multiple decay components and oscillatory modes. (c) Residual of the TR signal after fitting as the input of wavelet analysis.
Fig. 3
Fig. 3 Wavelet analysis on residual of TR signal for 43 nm LSMO thin film using a Morse wavelet with γ = 3 and β = 20 , indicating multiple short and long-lived oscillatory modes (log scale). Inset (linear scale), which is a zoomed version of the main Fig from −30 ps to 50 ps, is to emphasize the abrupt change at the surface and the interface.
Fig. 4
Fig. 4 Wavelet analysis of a more complicated system of multiferroic heterostructure (BTO/LSMO/STO), indicating the capability of distinguishing between different oscillatory modes with very close energy ranges.
Fig. 5
Fig. 5 Residual TR signal for BTO/LSMO layers (a) and STO (b). Fourier transforms for BTO/LSMO layers (c) and STO (d).

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

W ˜ ( ω , T ) = + e 2 π i ω T g ¯ ( t T ) W ( t ) d T .
ψ s , τ ( t ) = s ( 1 / 2 ) ψ ( t τ s ) ,
W ( τ , s ) = + W ( t ) ψ s , τ * ( t ) d t .
ψ β , γ ( ω ) = + ψ β , γ ( t ) e i ω t d t = U ( ω ) a β , γ ω β e ω γ ,
V s = f . λ p r o b e 2. n . cos θ ,

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