Skip to main content
Log in

Determination of Gabor wavelet shaping factor for accurate phase retrieval with wavelet-transform

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We examined the range of shape factor of the Gabor wavelet in the analysis of spectral phase retrieval with an interferogram. We demonstrated that for the pulses with moderate high order phase the accuracy of the retrieved phase is insensitive to the shaping factor in the range of 1∼20. Both simulated ideal Gaussian spectrum and actual non-Gaussian spectrum are applied in the analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chui CK (ed) (1992) An introduction to wavelets. Academic Press, Boston

    MATH  Google Scholar 

  2. Mallat SG (1998) A wavelet tour of signal processing. Academic Press, New York

    MATH  Google Scholar 

  3. Deng Y, Wu Z, Chai L, Wang C, Yamane K, Morita R, Yamashita M, Zhang Z (2005) Opt. Express 13:2120

    Article  ADS  Google Scholar 

  4. Deng Y, Wu Z, Chai L, Wang C, Zhang Z (2005) Conf. Lasers and Electro-Optics. Optical Society of America, Baltimore, Maryland , JWB11

    Book  Google Scholar 

  5. Iaconis C, Walmsley IA (1999) IEEE J. Quantum Electron. 35:501

    Article  ADS  Google Scholar 

  6. Takeda M, Ina H, Kobayashi S (1982) J. Opt. Soc. Am. 72:156

    ADS  Google Scholar 

  7. Kane DJ, Trebino R (1993) Opt. Lett. 18:823

    Article  ADS  Google Scholar 

  8. Hong J-C, Kim YY (2004) Exp. Mech. 44:387

    Article  Google Scholar 

  9. Delprat N, Escudié B, Guillemain P, Kronland-Martinet R, Tchamitchian P, Torréksani B (1992) IEEE T. Inform. Theory 38:644

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. Deng.

Additional information

PACS

42.65.Re; 42.30.Rx

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deng, Y., Wang, C., Chai, L. et al. Determination of Gabor wavelet shaping factor for accurate phase retrieval with wavelet-transform. Appl. Phys. B 81, 1107–1111 (2005). https://doi.org/10.1007/s00340-005-1959-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-005-1959-2

Keywords

Navigation