OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 17 — Aug. 17, 2009
  • pp: 14825–14831

Comparison of iterative angular spectrum and optimal rotation angle methods in designing beam-fanners

Seyyed H. Kazemi, Mir M. Mirsalehi, and Amir R. Attari  »View Author Affiliations


Optics Express, Vol. 17, Issue 17, pp. 14825-14831 (2009)
http://dx.doi.org/10.1364/OE.17.014825


View Full Text Article

Enhanced HTML    Acrobat PDF (185 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We compare the iterative angular spectrum (IAS) and the optimal rotation angle (ORA) methods in designing two-dimensional finite aperture diffractive optical elements (FADOEs) used as beamfanners. The transfer functions of both methods are compared analytically in the spatial frequency domain. We have designed several structures of 1-to-4 and 1-to-6 beamfanners to investigate the differences in the performance of the beamfanners designed by ORA method for near field operation. Using the three-dimensional finite difference time-domain (3-D FDTD) method with perfect matched layer (PML) absorbing boundary condition (ABC), the diffraction efficiency is calculated for each designed FADOE and the corresponding values are compared.

© 2009 OSA

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1220) Diffraction and gratings : Apertures
(050.1970) Diffraction and gratings : Diffractive optics

ToC Category:
Diffraction and Gratings

History
Original Manuscript: May 4, 2009
Revised Manuscript: July 1, 2009
Manuscript Accepted: July 24, 2009
Published: August 6, 2009

Citation
Seyyed H. Kazemi, Mir M. Mirsalehi, and Amir R. Attari, "Comparison of iterative angular spectrum and optimal rotation angle methods in designing beam-fanners," Opt. Express 17, 14825-14831 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-17-14825


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Jiang and G. P. Nordin, “A rigorous unidirectional method for designing finite aperture diffractive optical elements,” Opt. Express 7(6), 237–242 (2000). [CrossRef] [PubMed]
  2. D. W. Prather, M. S. Mirotznik, and J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements,” J. Opt. Soc. Am. A 14(1), 34–43 (1997). [CrossRef]
  3. D. W. Prather, J. N. Mait, M. S. Mirotznik, and J. P. Collins, “Vector-based synthesis of finite aperiodic subwavelength diffractive optical elements,” J. Opt. Soc. Am. A 15(6), 1599–1607 (1998). [CrossRef]
  4. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company, Englewood, 2005).
  5. J. Bengtsson, “Design of fan-out kinoforms in the entire scalar diffraction regime with an optimal-rotation-angle method,” Appl. Opt. 36(32), 8435–8444 (1997). [CrossRef]
  6. J. Stigwall and J. Bengtsson, “Design of array of diffractive optical elements with inter-element coherent fan-outs,” Opt. Express 12(23), 5675–5683 (2004). [CrossRef] [PubMed]
  7. R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).
  8. F. Wyrowski and O. Bryngdahl, “Iterative Fourier-transform algorithm applied to computer holography,” J. Opt. Soc. Am. A 5(7), 1058–1065 (1988). [CrossRef]
  9. F. Di, Y. Yingbai, J. Guofan, T. Qiaofeng, and H. Liu, “Rigorous electromagnetic design of finite-aperture diffractive optical elements by use of an iterative optimization algorithm,” J. Opt. Soc. Am. A 20(9), 1739–1746 (2003). [CrossRef]
  10. T. G. Jabbour and S. M. Kuebler, “Vectorial beam shaping,” Opt. Express 16(10), 7203–7213 (2008). [CrossRef] [PubMed]
  11. S. D. Mellin and G. P. Nordin, “Limits of scalar diffraction theory and an iterative angular spectrum algorithm for finite aperture diffractive optical element design,” Opt. Express 8, 706–722 (2001). [CrossRef]
  12. D. M. Sullivan, “An unsplit step 3-D PML for use with the FDTD method,” IEEE Microwave and Guided Wave Letters 7(7), 184–186 (1997). [CrossRef]
  13. D. M. Sullivan, Electromagnetic Simulation Using the FDTD Method, IEEE Press series on RF and microwave technology, 2000.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited