Quantizing the propagated field through a dielectric including general class of permutation symmetries for nonlinear susceptibility tensors

Results in Physics

M.A. Bolorizadeh¹  M. Borhani Zarandi²  A. Safaei Bezgabadi³ 

[1] Corresponding author.;Science and Research Division, Bloorazma Co., Tehran, Iran;Atomic and Molecular Group, Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran;

关键词: Field quantization;    Field propagation;    Nonlinear susceptibility tensors;    Permutation symmetry;    Quantum treatment;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we present a quantum theory for field propagation through a three-dimensional dielectric, when the frequency permutations of nonlinear susceptibility tensors should not be ignored. This treatment is important for the processes in which multiple frequencies are generated. The Hamiltonian of our system is obtained by introducing a unique Lagrangian and making use of the dual potential. This system is quantized by imposing the Dirac commutation relations. Finally, appropriate creation and annihilation operators are defined to derive the nonlinear Hamiltonian operator under frequency permutations of the nonlinear susceptibility tensors. As an example, our simulation results show the impact of frequency permutations on pulse propagation along a one-dimensional simple waveguide.

【 授权许可】

Unknown