Abstract

Scalar diffraction calculations, such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, x rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using fast Fourier transform (FFT); unfortunately, acceleration of the calculation of nonuniform sampled planes is limited due to the property of the FFT that imposes uniform sampling. In addition, it gives rise to wasteful sampling data if we calculate a plane having locally low and high spatial frequencies. In this Letter, we developed nonuniform sampled ASM and Fresnel diffraction to improve the problem using the nonuniform FFT.

© 2013 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Scaled diffraction calculation between tilted planes using nonuniform fast Fourier transform

Chenliang Chang, Jun Xia, Jun Wu, Wei Lei, Yi Xie, Mingwu Kang, and Qiuzhi Zhang
Opt. Express 22(14) 17331-17340 (2014)

Nonuniform fast Fourier transform method for numerical diffraction simulation on tilted planes

Yu Xiao, Xiahui Tang, Yingxiong Qin, Hao Peng, Wei Wang, and Lijing Zhong
J. Opt. Soc. Am. A 33(10) 2027-2033 (2016)

Scaled angular spectrum method

Tomoyoshi Shimobaba, Kyoji Matsushima, Takashi Kakue, Nobuyuki Masuda, and Tomoyoshi Ito
Opt. Lett. 37(19) 4128-4130 (2012)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (10)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription