Skip to main content
SpringerLink
Log in

Response Functions

  • Chapter
  • First Online:
Non-Linear Optical Response in Atoms, Molecules and Clusters

Part of the book series: SpringerBriefs in Molecular Science ((BRIEFSMAGNET))

  • 499 Accesses

Abstract

The chapter deals with properties of the response functions. It starts with causality and then examines symmetries. Next, Quantum Field Theory formalism is applied to underline the quantum nature of the hyperpolarizabilities extracted from time-dependent simulations. The chapter ends with the diagrammatic rules for calculation of hyperpolarizabilities.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

    Both \(P(t)\) and \(E(t)\) are assumed to be observable (i.e. real).

  2. 2.

    The proof of these relations could be found in [1].

  3. 3.

    In depth discussion of this subject could be found in [3].

References

  1. L.D. Landau, E.M. Lifshitz, Statistical Physics (Butterworth-Heinemann, Oxford, 1975)

    Google Scholar 

  2. K.-E. Peiponen, J.J. Saarinen, Rep. Prog. Phys. 72, 056401 (2009)

    Article  Google Scholar 

  3. Y.R. Shen, The Principles of Nonlinear Optics (Wiley-Interscience, New York, 2001)

    Google Scholar 

  4. R.W. Boyd, Nonlinear Optics (Elsevier, New York, 2008)

    Google Scholar 

  5. A. Fetter, J. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, San Francisco, 1971)

    Google Scholar 

  6. N.B. Delone, V.P. Krainov, Atoms in Strong Light Fields (Springer, Berlin, 1985)

    Book  Google Scholar 

  7. N.B. Delone, V.P. Krainov, Fundamentals of Nonlinear Optics of Atomic Gases (Wiley, New York, 1988)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Vanderbilt University, Nashville, MA, USA

    Vladimir Goncharov

Authors
  1. Vladimir Goncharov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vladimir Goncharov .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 The Author(s)

About this chapter

Cite this chapter

Goncharov, V. (2014). Response Functions. In: Non-Linear Optical Response in Atoms, Molecules and Clusters. SpringerBriefs in Molecular Science(). Springer, Cham. https://doi.org/10.1007/978-3-319-08320-9_2

Download citation

Publish with us

Policies and ethics

Search

Navigation