The application of fractional Fourier transform in the nonlinear optical imaging measurement

Zongjie Zhu; Yuxiao Wang; Xueru Zhang; Yinglin Song; Junyi Yang; Min Shui

doi:10.1117/12.835714

29 August 2009 The application of fractional Fourier transform in the nonlinear optical imaging measurement

Zongjie Zhu, Yuxiao Wang, Xueru Zhang, Yinglin Song, Junyi Yang, Min Shui

Proceedings Volume 7382, International Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging; 73825I (2009) https://doi.org/10.1117/12.835714
Event: International Symposium on Photoelectronic Detection and Imaging 2009, 2009, Beijing, China

Abstract

The 4f coherent imaging system with phase object (PO) is a new method to measure the third-order nonlinearity. The essential of the measurement is using a diaphragm with phase object to modulate the nonlinear phase shift in the nonlinear sample, which is placed at the Fourier plane of the 4f system, to change of the amplitude of the electric field in the image plane. In this paper Fractional Fourier Transform (FRFT) is applied to the 4f coherent imaging system for the third-order nonlinear refraction measurements. With the help of Fresnel diffraction, we obtain FRFT using the single-lens system, Lohmann type system. The improved measurement system is obtained with FRFT in place of FT after the beam pass through the sample. We numerically analyze the effects of fractional order on the diffraction image of the improved nonlinear measurement system. Comparing with the original 4f system, when the fractional order a is 0.4 the sensitivity which is measured by ΔT (ΔT is proportional to the fluence inside and outside of PO on the image plane) is improved.

Citation Download Citation

Zongjie Zhu, Yuxiao Wang, Xueru Zhang, Yinglin Song, Junyi Yang, and Min Shui "The application of fractional Fourier transform in the nonlinear optical imaging measurement", Proc. SPIE 7382, International Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging, 73825I (29 August 2009); https://doi.org/10.1117/12.835714

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available