Numerical calculation of the accuracy of approximate analysis methods for binary rectangular groove diffraction phase grating

Yi Ping Wu; Shang-zhong Jin; Xufeng Jing; Ying Tian; Pei Liang; Le Wang; Qianmin Dong D.D.S.

doi:10.1117/1.OE.51.12.128001

7 December 2012 Numerical calculation of the accuracy of approximate analysis methods for binary rectangular groove diffraction phase grating

Yi Ping Wu, Shang-zhong Jin, Xufeng Jing, Ying Tian, Pei Liang, Le Wang, Qianmin Dong D.D.S.

Author Affiliations +

Optical Engineering, Vol. 51, Issue 12, 128001 (December 2012). https://doi.org/10.1117/1.OE.51.12.128001

Abstract

The range of the accuracy of scalar diffraction theory and effective medium theory for binary rectangular groove phase grating is evaluated by the comparison of diffraction efficiencies predicted from scalar theory and effective medium theory, respectively, to exact vector results calculated by Fourier modal method. The effect of element parameters (depth, period, index of refraction, angle of incidence, and fill factor) on the accuracy of scalar treatment and effective medium theory is quantitatively determined. Generally, it is found that the scalar method is valid when the normalized period is more than fourfold wavelength of incident light at normal incidence. The error of transmittances between vector method and scalar method increases as the incident angle and refractive index increase. Furthermore, when the higher diffraction orders other than zero-th order are not to propagate, the effective medium theory is accurate to evaluate the transmittance of grating at normal incidence. The error of transmittances between effective medium method and rigorous vector theory increases as the incident angle and refractive index increase. Also, the error of diffraction efficiencies between the simple methods and the vector method on the polarization state of incident light is clearly demonstrated.

Citation Download Citation

Yi Ping Wu, Shang-zhong Jin, Xufeng Jing, Ying Tian, Pei Liang, Le Wang, and Qianmin Dong D.D.S. "Numerical calculation of the accuracy of approximate analysis methods for binary rectangular groove diffraction phase grating," Optical Engineering 51(12), 128001 (7 December 2012). https://doi.org/10.1117/1.OE.51.12.128001

Published: 7 December 2012

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