Skip to main content

Ultrashort Pulses and Nonlinear Optics: Nuts and Bolts

  • Chapter
  • First Online:
Ultrafast Biophotonics

Part of the book series: Biological and Medical Physics, Biomedical Engineering ((BIOMEDICAL))

  • 1034 Accesses

Abstract

In this chapter we summarize some basic concepts related to light, nonlinear optics, and ultrashort pulses that will be employed in our explorations of ultrafast biophotonics. Concepts like the intensity of laser light, ponderomotive energy, nonlinear optics, frequency conversion as well as the characterization and propagation of ultrashort pulses that we discuss here will be frequently encountered in this book.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.
    • Throughout the book, we use bold letters to represent vector quantities and tilde (\(\thicksim \)) to denote quantities rapidly varying in time. Constant or slowly varying quantities are written without the tilde.

    • Except where otherwise noted, we use the SI (MKS) system of units.

References

  1. R. Trebino, Frequency Resolved Optical Gating: The Measurement of Ultrashort Pulses (Kluwer Academic Publishers, USA, 2000)

    Book  Google Scholar 

  2. M. Wegener, Extreme Nonlinear Optics (Springer, Berlin Heidelberg, 2005)

    MATH  Google Scholar 

  3. J.D. Jackson, Classical Electrodynamics, 3rd edn. (Wiley, Singapore, 2005)

    Google Scholar 

  4. L.D. Landau, L.P. Pitaevskii, E.M. Lifshitz, Electrodynamics of Continuous Media, 3rd edn. (Butterworth-Heineman, Oxford, 2004)

    Google Scholar 

  5. D.M. Volkov, Z. Phys. 94, 250 (1935)

    Article  ADS  Google Scholar 

  6. N.D. Sengupta, Bull. Math. Soc. (Calcutta) 41, 187 (1941)

    Google Scholar 

  7. N.D. Sengupta, Bull. Math. Soc. (Calcutta) 44, 175 (1952)

    Google Scholar 

  8. Vachaspati, Phys. Rev. 128, 664 (1962)

    Google Scholar 

  9. Vachaspati, Phys. Rev. 130, 2598(E) (1963)

    Google Scholar 

  10. H.R. Reiss, J. Math. Phys. 3, 59 (1962)

    Article  ADS  MathSciNet  Google Scholar 

  11. A.I. Nikishov, V.I. Ritus, Sov. Phys. JETP 19, 529 (1963)

    MathSciNet  Google Scholar 

  12. R.W. Boyd, Nonlinear Optics, 3rd edn. (Academic Press, London, 2008)

    Google Scholar 

  13. L.V. Keldysh, Sov. Phys. JETP 20, 1307 (1965)

    MathSciNet  Google Scholar 

  14. F.H.M. Faisal, J. Phys. B 6, L89 (1973)

    Article  ADS  Google Scholar 

  15. H.R. Reiss, Phys. Rev. A 22, 1786 (1980)

    Article  ADS  Google Scholar 

  16. H. Haug, S.W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 4th edn. (World Scientific, Singapore, 2004)

    Book  MATH  Google Scholar 

  17. Y.R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984)

    Google Scholar 

  18. M. Bass, P.A. Franken, A.E. Hill, C.W. Peters, G. Weinreich, Phys. Rev. Lett. 8, 18 (1962)

    Article  ADS  Google Scholar 

  19. J.A. Armstrong, N. Bloembergen, J. Ducuing, P.S. Pershan, Phys. Rev. 127, 1918 (1962)

    Article  ADS  Google Scholar 

  20. P.A. Franken, A.E. Hill, C.W. Peters, G. Weinreich, Phys. Rev. Lett. 7, 118 (1961)

    Article  ADS  Google Scholar 

  21. M. Goeppert-Mayer, Ann. Phys. 9, 273 (1931)

    Article  Google Scholar 

  22. W. Kaiser, C. Garrett, Phys. Rev. Lett. 7, 229 (1961)

    Article  ADS  Google Scholar 

  23. R.R. Alfano, The Supercontinuum Laser Source, 2nd edn. (Springer, Heidelberg, 2006)

    Google Scholar 

  24. G.H.C. New, J.F. Ward, Phys. Rev. Lett. 19, 556 (1967)

    Article  ADS  Google Scholar 

  25. J.A. Squier, M. Müller, G.J. Brakenhoff, K.R. Wilson, Opt. Express 3, 315 (1998)

    Google Scholar 

  26. R.Y. Chiao, E. Garmire, C.H. Towenes, Phys. Rev. Lett. 13, 479 (1964)

    Article  ADS  Google Scholar 

  27. Y.R. Shen, Prog. Quantum Electron. 4, 1 (1975)

    Article  ADS  Google Scholar 

  28. A.K. Dharmadhikari, F.A. Rajgara, D. Mathur, Appl. Phys. B 80, 61 (2005)

    Article  ADS  Google Scholar 

  29. J.S. D’Souza, J.A. Dharmadhikari, A.K. Dharmadhikari, B.J. Rao, D. Mathur, Phys. Rev. Lett. 106, 118101 (2011)

    Article  ADS  Google Scholar 

  30. A.K. Dharmadhikari, H. Bharambe, J.A. Dharmadhikari, J.S. D’Souza, D. Mathur, Phys. Rev. Lett. 112, 138105 (2014)

    Article  ADS  Google Scholar 

  31. J. Thomas, R. Bernard, K. Alti, A.K. Dharmadhikari, J.A. Dharmadhikari et al., Opt. Commun. 304, 29 (2013)

    Article  ADS  Google Scholar 

  32. S.D. George, U. Ladiwala, J. Thomas, A. Bankapur, S. Chidangil, D. Mathur, App. Surf. Sci. 305, 375 (2014)

    Article  ADS  Google Scholar 

  33. A. Couairon, A. Mysyrowicz, Phys. Rep. 441, 47 (2007)

    Article  ADS  Google Scholar 

  34. S.L. Chin, S.A. Hosseini, W. Liu, Q. Luo, F. Théberge et al., Can. J. Phys. 83, 863 (2005)

    Article  ADS  Google Scholar 

  35. R.L. Fork, C.V. Shank, C. Hirlimann, R. Yen, W.J. Tomlinson, Opt. Lett. 8, 1 (1983)

    Article  ADS  Google Scholar 

  36. P. Vasa, M. Singh, R. Bernard, A.K. Dharmadhikari, J.A. Dharmadhikari, D. Mathur, Appl. Phys. Lett. 103, 111109 (2013)

    Article  ADS  Google Scholar 

  37. P. Vasa, J.A. Dharmadhikari, A.K. Dharmadhikari, R. Sharma, M. Singh, D. Mathur, Phys. Rev. A 89, 043834 (2014)

    Article  ADS  Google Scholar 

  38. P. Panagiotopoulos, D.G. Papazoglou, A. Couairon, S. Tzortzakis, Nature Commun. 4, 2622 (2013)

    Article  ADS  Google Scholar 

  39. F. Silva, D.R. Austin, A. Thai, M. Baudisch, M. Hemmer et al., Nature Commun. 3, 807 (2012)

    Article  ADS  Google Scholar 

  40. G. Stibenz, N. Zhavoronkov, G. Steinmayer, Opt. Lett. 31, 274 (2006)

    Article  ADS  Google Scholar 

  41. S.E. Harris, A.V. Sokolov, Phys. Rev. A 55, R4019(R) (1997)

    Article  ADS  Google Scholar 

  42. H.S. Chan, Z.M. Hsieh, W.H. Liang, A.H. Kung, C.K. Lee et al., Science 331, 1165 (2011)

    Article  ADS  Google Scholar 

  43. C. Rewitz, T. Keitzl, P. Tuchscherer, J.S. Huang, P. Geisler et al., Nano Lett. 12, 45 (2012)

    Article  ADS  Google Scholar 

  44. K. Lindfors, T. Kalkbrenner, P. Stoller, V. Sandoghdar, Phys. Rev. Lett. 93, 037401 (2004)

    Article  ADS  Google Scholar 

  45. A. McPherson, G. Gibson, H. Jara, U. Johann, T.S. Luk et al., J. Opt. Soc. Am. B 4, 595 (1987)

    Article  ADS  Google Scholar 

  46. J. Seres, E. Seres, A.J. Verhoef, G. Tempea, C. Streli et al., Nature 433, 596 (2005)

    Article  ADS  Google Scholar 

  47. P.M. Paul, E.S. Toma, P. Breger, G. Mullot, F. Augé et al., Science 292, 1689 (2001)

    Article  ADS  Google Scholar 

  48. D. Mathur, K. Dota, A.K. Dharmadhikari, J.A. Dharmadhikari, Phys. Rev. Lett. 110, 083602 (2013)

    Article  ADS  Google Scholar 

  49. D. Mathur, K. Dota, D. Dey, A.K. Tiwari, J.A. Dharmadhikari et al., J. Chem. Phys. 143, 244310 (2015)

    Article  ADS  Google Scholar 

  50. S. Mukamel, Annu. Rev. Phys. Chem. 51, 691 (2000)

    Article  ADS  Google Scholar 

  51. M.H. Cho, Chem. Rev. 108, 1331 (2008)

    Article  Google Scholar 

  52. K. Wolfgang, Ultrashort Laser Pulses: Generation and Applications (Springer, Germany, 1993)

    Google Scholar 

  53. U. Keller, Nature 424, 831 (2003)

    Article  ADS  Google Scholar 

  54. G.R. Fleming, Chemical Applications of Ultrafast Spectroscopy (Oxford University Press, New York, 1986)

    Google Scholar 

  55. O. Svelto, S. De Silvestri, G. Denardo, Ultrafast Processes in Spectroscopy (Plenum Press, New York, 1996)

    Book  Google Scholar 

  56. M. Braun, P. Gilch, W. Zinth, Ultrashort Laser Pulses in Biology and Medicine (Springer, Berlin, 2008)

    Book  Google Scholar 

  57. P.F. Moulton, J. Opt. Soc. Am. B 1, 125 (1986)

    Article  ADS  Google Scholar 

  58. A. Stingl, M. Lenzner, Ch. Spielmann, F. Krausz, R. Szipöcs, Opt. Lett. 20, 602 (1995)

    Article  ADS  Google Scholar 

  59. U. Morgner, F.X. Kärtner, S.H. Cho, Y. Chen, H.A. Haus et al., Opt. Lett. 24, 411 (1999)

    Article  ADS  Google Scholar 

  60. D. Strickland, G. Mourou, Opt. Commun. 56, 219 (1985)

    Article  ADS  Google Scholar 

  61. G. Cerullo, S. De Silvestri, Rev. Sci. Instrum. 74, 1 (2003)

    Article  ADS  Google Scholar 

  62. V. Wong, I.A. Walmsley, Opt. Lett. 19, 287 (1994)

    Article  ADS  Google Scholar 

  63. C. Iaconis, I.A. Walmsley, Opt. Lett. 23, 792 (1998)

    Article  ADS  Google Scholar 

  64. L. Gallmann, D.H. Sutter, N. Matuschek, G. Steinmeyer, U. Keller, Appl. Phys. B 70, S67 (2000)

    Article  ADS  Google Scholar 

  65. O.E. Martinez, J.P. Gordon, R.L. Fork, J. Opt. Soc. Am. A 1, 1003 (1984)

    Article  ADS  Google Scholar 

  66. R.L. Fork, O.E. Martinez, J.P. Gordon, Opt. Lett. 9, 150 (1984)

    Article  ADS  Google Scholar 

  67. C.V. Shank, R.L. Fork, R. Yen, R.H. Stolen, W.J. Tomlinson, Appl. Phys. Lett. 40, 761 (1982)

    Article  ADS  Google Scholar 

  68. H.E. Bates, J. Opt. Soc. Am. 70, 1017 (1980)

    Article  ADS  Google Scholar 

  69. E.J. Mayer, J. Möbius, A. Euteneuer, W.W. Rühle, R. Szipőcs, Opt. Lett. 22, 528 (1997)

    Article  ADS  Google Scholar 

  70. M. Nisoli, S. De Silvestri, O. Svelto, R. Szipőcs, K. Ferencz et al., Opt. Lett. 22, 522 (1997)

    Google Scholar 

  71. J. Biegert, J.-C. Diels, J. Opt. Soc. Am. B 18, 1218 (2001)

    Article  ADS  Google Scholar 

  72. A.K. Dharmadhikari, J.A. Dharmadhikari, F.A. Rajgara, D. Mathur, Opt. Express 16, 7083 (2008)

    Article  ADS  Google Scholar 

  73. B. Piglosiewicz, D. Sadiq, M. Mascheck, S. Schmidt, M. Silies et al., Opt. Express 19, 14451 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Vasa .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Vasa, P., Mathur, D. (2016). Ultrashort Pulses and Nonlinear Optics: Nuts and Bolts. In: Ultrafast Biophotonics. Biological and Medical Physics, Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-39614-9_2

Download citation

Publish with us

Policies and ethics