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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Chui CK (ed) (1992) An introduction to wavelets. Academic Press, Boston
Mallat SG (1998) A wavelet tour of signal processing. Academic Press, New York
Deng Y, Wu Z, Chai L, Wang C, Yamane K, Morita R, Yamashita M, Zhang Z (2005) Opt. Express 13:2120
Deng Y, Wu Z, Chai L, Wang C, Zhang Z (2005) Conf. Lasers and Electro-Optics. Optical Society of America, Baltimore, Maryland , JWB11
Iaconis C, Walmsley IA (1999) IEEE J. Quantum Electron. 35:501
Takeda M, Ina H, Kobayashi S (1982) J. Opt. Soc. Am. 72:156
Kane DJ, Trebino R (1993) Opt. Lett. 18:823
Hong J-C, Kim YY (2004) Exp. Mech. 44:387
Delprat N, Escudié B, Guillemain P, Kronland-Martinet R, Tchamitchian P, Torréksani B (1992) IEEE T. Inform. Theory 38:644
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
42.65.Re; 42.30.Rx
Rights 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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-005-1959-2