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Higher-order harmonics of limited diffraction Bessel beams
1Department of Electronic Engineering, Southeast University, Nanjing, People's Republic of China.
The Journal of the Acoustical Society of America
|March 30, 2000
Summary
We theoretically investigated the nonlinear propagation of Bessel beams in nonlinear media. The nth-order harmonic of the Bessel beam is radially limited diffracting, with a beamwidth 1/n times that of the fundamental.
Area of Science:
- Nonlinear optics
- Beam propagation physics
Background:
- Limited diffraction beams, such as Bessel beams, are crucial in various optical applications.
- Understanding their behavior in nonlinear media is essential for advanced optical technologies.
Purpose of the Study:
- To theoretically investigate the nonlinear propagation of limited diffraction Bessel beams.
- To analyze the characteristics of the nth-order harmonic generated during propagation.
Main Methods:
- Theoretical analysis using the successive approximation of the Kadomtsev-Petviashvili-Kuznetsov (KZK) equation.
- Mathematical modeling of beam propagation in nonlinear optical media.
Main Results:
- The nth-order harmonic of the Bessel beam exhibits radial limited diffraction, similar to the fundamental beam.
- The main beamwidth of the nth-order harmonic is precisely 1/n times the beamwidth of the fundamental component.
Conclusions:
- Bessel beams maintain their limited diffraction properties even in the nonlinear regime across their harmonics.
- The beamwidth scaling of harmonics offers potential for controlling and manipulating light in nonlinear media.