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

Analysis of one-third harmonic generation in waveguides

Not Accessible

Your library or personal account may give you access

Abstract

This paper investigates one-third harmonic generation (OTHG) by analytical methods with a nondepletion approximation and with an exact solution in continuous wave conditions. The nondepletion method shows that OTHG with a small initial power is confined in a very small range except that the overlapping integrals of the pump and signal follow a certain relation. The efficiency depends only on the initial conditions. Increasing pump power only shortens the interaction length to reach the maximum conversion. Furthermore, we exactly explore OTHG by the elliptic functions whose expressions depend on the types of roots derived from the integral and the initial power. We find that the output power level is limited by the initial conditions and the structure of the waveguide, while the pump power only determines the period. There is a constant value Γ that is determined by U0, θ0, and the overlap integrals, where U0 and θ0 are the initial power of the signal and the initial phase difference between pump and signal, respectively. We found that a highly efficient conversion only occurs when Γ is larger than a specific value Γc, called a critical value. A Γc provides a relation between U0 and θ0. So a set of critical conditions of U0 and θ0 is obtained. A highly efficient conversion may be supported if U0 is larger than the power in this set. We investigated some typical structure parameters and found the minimum initial power supporting high conversion efficiency. In OTHG, the variation curve has a sharp peak pattern, which means that a variation of the initial phase difference leads to a great change of the conversion. We established a way to get the smallest initial power with a large phase tolerance. Finally, we find a relation among the overlapping integrals and phase mismatching that can support a high conversion efficiency with a small initial power. This study gives valuable suggestions on the experimental design.

© 2014 Optical Society of America

Full Article  |  PDF Article
More Like This
Optimization of one-third harmonic generation in the presence of nonlinear phase modulations and power attenuation

Jianyu Zhang, Yunxu Sun, and Qinghai Song
Opt. Express 23(13) 17407-17420 (2015)

Efficient one-third harmonic generation in highly Germania-doped fibers enhanced by pump attenuation

Tianye Huang, Xuguang Shao, Zhifang Wu, Timothy Lee, Yunxu Sun, Huy Quoc Lam, Jing Zhang, Gilberto Brambilla, and Shum Ping
Opt. Express 21(23) 28403-28413 (2013)

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 (8)

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 (1)

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 (42)

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