Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Optimizing the second hyperpolarizability with minimally parametrized potentials

Not Accessible

Your library or personal account may give you access

Abstract

The dimensionless zero-frequency intrinsic second hyperpolarizability γint=γ/4E105m2(e)4 was optimized for a single electron in a 1D well by adjusting the shape of the potential. Optimized potentials were found to have hyperpolarizabilities in the range 0.15γint0.60; potentials optimizing gamma were arbitrarily close to the lower bound and were within 0.5% of the upper bound. All optimal potentials possess parity symmetry. Analysis of the Hessian of γint around the maximum reveals that effectively only a single parameter, one of those chosen in the piecewise linear representation adopted, is important to obtaining an extremum. Prospects for designing chromophores based on the design principle here elucidated are discussed.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Maximizing the hyperpolarizability of 1D potentials with multiple electrons

Christopher J. Burke, Joseph Lesnefsky, Rolfe G. Petschek, and Timothy J. Atherton
J. Opt. Soc. Am. B 33(12) E1-E13 (2016)

Maximizing the hyperpolarizability poorly determines the potential

T. J. Atherton, J. Lesnefsky, G. A. Wiggers, and R. G. Petschek
J. Opt. Soc. Am. B 29(3) 513-520 (2012)

Universal properties of the optimized off-resonant intrinsic second hyperpolarizability

David S. Watkins and Mark G. Kuzyk
J. Opt. Soc. Am. B 29(7) 1661-1671 (2012)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (20)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved