Paper Title:
Analysis of Phase Distribution of Focused Light in High Numerical Aperture Systems
  Abstract

High numerical aperture focusing is becoming increasingly important for nanotechnology related applications. Rigorous, vector evaluation of the focused field, in such cases, is usually performed using the Richards-Wolf method which is based on the Debye approach. The resulting field is known to have a piecewise quasi planar phase. A corresponding result, produced by a Fresnel-Kirchhoff integral for aplanatic optical systems of medium and low numerical apertures, leads to the well known physical fact that a quadratic phase exists when the entrance pupil is not located at the front focal plane. Yet, the amplitudes produced in both ways are in a good agreement. In this work we investigated the difference, presented above, in a 2D system with the help of the Stratton-Chu diffraction integral. The amplitude obtained by the Stratton-Chu integral was quite similar to the classic results while the phase exhibited a quadratic behavior, with the quadratic coefficient depending on the numerical aperture of the optical system. For lower numerical apertures it approached the result obtained by the Fresnel-Kirchhoff integral while for higher numerical apertures it was approaching the Richards-Wolf result. A mathematical expression for the quadratic coefficient was derived and verified for various values of numerical aperture.

  Info
Periodical
Edited by
Yuri Chugui, Yongsheng Gao, Kuang-Chao Fan, Roald Taymanov and Ksenia Sapozhnikova
Pages
616-620
DOI
10.4028/www.scientific.net/KEM.437.616
Citation
A. Normatov, B. Spektor, J. Shamir, "Analysis of Phase Distribution of Focused Light in High Numerical Aperture Systems", Key Engineering Materials, Vol. 437, pp. 616-620, 2010
Online since
May 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ming Wang, Dong Mei Guo
Abstract:In order to improve the displacement measurement accuracy of the laser diode self-mixing interference (SMI), phase measurement method is...
247
Authors: Belen Moreno, Pablo Lopez-Crespo, Antonio González-Herrera, Jose Zapatero
Abstract:Many mechanical components are subjected to multiaxial fatigue. These conditions are typically coming from external loads, the geometry of...
41
Authors: Lin Na Zhou, Shi Jian Zhu, Jing Jun Lou
Chapter 7: Frontiers of Computer Applicated in Building
Abstract:The chaotic dynamics system is so complex that the traditional methods of nonlinear numerical approximation can’t intuitively reflect the...
4463
Authors: Sheng Ping Yuan, Chong Guang Li, Li Ping Pan
Chapter 2: Measuring and Testing Techniques
Abstract:A mathematical approach to describe phase contrast imaging is presented by means of Taylor expansion. The contrast of image of phase object...
1104