Design of diffractive phase elements that implement axial intensity modulations with conjugate gradient algorithm

Rong Liu; Ben-Yuan Gu; Bi-Zhen Dong; Guozhen Yang

doi:10.1117/12.310594

18 June 1998 Design of diffractive phase elements that implement axial intensity modulations with conjugate gradient algorithm

Rong Liu, Ben-Yuan Gu, Bi-Zhen Dong, Guozhen Yang

Author Affiliations +

Proceedings Volume 3291, Diffractive and Holographic Device Technologies and Applications V; (1998) https://doi.org/10.1117/12.310594
Event: Optoelectronics and High-Power Lasers and Applications, 1998, San Jose, CA, United States

Abstract

We employ conjugate gradient algorithm for designing diffractive phase elements (DPEs) that implement the predefined axial-intensity modulations over a given region. We introduce an error function used for guiding the design of DPEs and appraising their performance. We derive the analytical expression for the gradient of the error function with respect to the phases of DPEs. To demonstrate effectiveness of the related algorithms, we carry out model designs of several DPEs that realize different axial- intensity modulations. For instance, we achieve the designs of the DPEs for focusing incident uniform wave into four foci with equal or unequal spacing between the consecutive foci along the optical axis, and the DPE for realizing sinusoid-like axial-intensity modulation over a given region. We also present the designs of the DPEs for generating pseudo-nondiffracting beams with multiple-segment character. The results show that the designed DPEs can satisfactorily fulfill the practical requirements.

Citation Download Citation

Rong Liu, Ben-Yuan Gu, Bi-Zhen Dong, and Guozhen Yang "Design of diffractive phase elements that implement axial intensity modulations with conjugate gradient algorithm", Proc. SPIE 3291, Diffractive and Holographic Device Technologies and Applications V, (18 June 1998); https://doi.org/10.1117/12.310594

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