论文信息 - TRUNCATED SUM RULES AND THEIR USE IN CALCULATING FUNDAMENTAL LIMITS OF NONLINEAR SUSCEPTIBILITIES

TRUNCATED SUM RULES AND THEIR USE IN CALCULATING FUNDAMENTAL LIMITS OF NONLINEAR SUSCEPTIBILITIES

Truncated sum rules have been used to calculate the fundamental limits of the nonlinear susceptibilities and the results have been consistent with all measured molecules. However, given that finite-state models appear to result in inconsistencies in the sum rules, it may seem unclear why the method works. In this paper, the assumptions inherent in the truncation process are discussed and arguments based on physical grounds are presented in support of using truncated sum rules in calculating fundamental limits. The clipped harmonic oscillator is used as an illustration of how the validity of truncation can be tested and several limiting cases are discussed as examples of the nuances inherent in the method.

Mark G. Kuzyk

[1] Mark G. Kuzyk,et al. Quantum limits of the hyper-Rayleigh scattering susceptibility , 2001 .

[2] M. Kuzyk,et al. Fundamental limits on third-order molecular susceptibilities. , 2000, Optics letters.

[3] M. G. Kuzyk,et al. Connecting at the speed of light , 2003 .

[4] Mark G. Kuzyk. Compact sum-over-states expression without dipolar terms for calculating nonlinear susceptibilities , 2005 .

[5] Mark G. Kuzyk,et al. Erratum: Physical Limits on Electronic Nonlinear Molecular Susceptibilities [Phys. Rev. Lett. 85, 001218 (2000)] , 2003 .

[6] Mark G. Kuzyk,et al. Fundamental limits on third-order molecular susceptibilities: erratum , 2003 .

[7] Edward H. Sargent,et al. Cross-linked C60 Polymer Breaches the Quantum Gap , 2004 .

[8] Mark G. Kuzyk,et al. DOUBLY RESONANT TWO-PHOTON ABSORPTION CROSS-SECTIONS: IT DOES NOT GET ANY BIGGER THAN THIS , 2004 .

[9] Kuzyk. Physical limits on electronic nonlinear molecular susceptibilities , 2000, Physical review letters.

[10] Benoît Champagne,et al. Comment on "physical limits on electronic nonlinear molecular susceptibilities". , 2005, Physical review letters.

[11] Koen Clays,et al. Why hyperpolarizabilities fall short of the fundamental quantum limits. , 2004, The Journal of chemical physics.

[12] Mark G. Kuzyk,et al. Nonlinear Optics: Fundamental Limits ofNonlinear Susceptibilities , 2003 .