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Microscopic Theory of Nonlinear Optics

  • Chapter
Non-Linear Optical Properties of Matter

Part of the book series: Challenges and Advances in Computational Chemistry and Physics ((COCH,volume 1))

Abstract

In this chapter we give an introduction to the theory of linear and nonlinear optics. We show how the response of a molecule to an external oscillating electric field can be described in terms of intrinsic properties of the molecules, namely the (hyper)polarizabilities. We outline how these properties are described in the case of exact states by considering the time-development of the exact state in the presence of a time-dependent electric field. Approximations introduced in theoretical studies of nonlinear optical properties are introduced, in particular the separation of electronic and nuclear degrees of freedom which gives rise to the partitioning of the (hyper)polarizabilities into electronic and vibrational contributions. Different approaches for calculating (hyper)polarizabilities are discussed, with a special focus on the electronic contributions in most cases. We end with a brief discussion of the connection between the microscopic responses of an individual molecule to the experimentally observed responses from a molecular ensemble

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Author information

Authors and Affiliations

  1. Department of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden

    Patrick Norman

  2. Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway

    Kenneth Ruud

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  1. Patrick Norman
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  2. Kenneth Ruud
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Editor information

Editors and Affiliations

  1. National Hellenic Research Foundation, Greece

    Manthos G. Papadopoulos

  2. Nicolaus Copernicus University, Poland

    Andrzej J. Sadlej

  3. Jackson State University, USA

    Jerzy Leszczynski

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Norman, P., Ruud, K. (2006). Microscopic Theory of Nonlinear Optics. In: Papadopoulos, M.G., Sadlej, A.J., Leszczynski, J. (eds) Non-Linear Optical Properties of Matter. Challenges and Advances in Computational Chemistry and Physics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4850-5_1

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