Phase reconstruction from intensity measurements in one-parameter canonical-transform systems

M.J. Bastiaans; K.B. Wolf

doi:10.1109/ISSPA.2003.1224772

Phase reconstruction from intensity measurements in one-parameter canonical-transform systems

M.J. Bastiaans, K.B. Wolf

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

Abstract

We consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.

Original language	English
Title of host publication	Proc. ISSPA 2003, the Seventh International Symposium on Signal Processing and its Applications, Paris, France
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	589-592
ISBN (Print)	0-7803-7947-0
DOIs	https://doi.org/10.1109/ISSPA.2003.1224772
Publication status	Published - 2003

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10.1109/ISSPA.2003.1224772

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title = "Phase reconstruction from intensity measurements in one-parameter canonical-transform systems",

abstract = "We consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.",

author = "M.J. Bastiaans and K.B. Wolf",

year = "2003",

doi = "10.1109/ISSPA.2003.1224772",

language = "English",

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publisher = "Institute of Electrical and Electronics Engineers",

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Phase reconstruction from intensity measurements in one-parameter canonical-transform systems. / Bastiaans, M.J.; Wolf, K.B.
Proc. ISSPA 2003, the Seventh International Symposium on Signal Processing and its Applications, Paris, France. Piscataway, NJ: Institute of Electrical and Electronics Engineers, 2003. p. 589-592.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Phase reconstruction from intensity measurements in one-parameter canonical-transform systems

AU - Bastiaans, M.J.

AU - Wolf, K.B.

PY - 2003

Y1 - 2003

N2 - We consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.

AB - We consider the one-parameter canonical transform of an optical signal and derive the relationship between its local spatial frequency (signal phase derivative) and the derivative of the squared modulus of the one-parameter canonical transform with respect to the parameter. From this relationship we conclude that the phase of the signal can be reconstructed by letting the signal propagate in an appropriate one-parameter canonical-transform system and then measure two intensity profiles for two close values of the parameter.

U2 - 10.1109/ISSPA.2003.1224772

DO - 10.1109/ISSPA.2003.1224772

M3 - Conference contribution

SN - 0-7803-7947-0

SP - 589

EP - 592

BT - Proc. ISSPA 2003, the Seventh International Symposium on Signal Processing and its Applications, Paris, France

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway, NJ

ER -

Phase reconstruction from intensity measurements in one-parameter canonical-transform systems

Abstract

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