Abstract
A short overview of phase-space distribution functions and of their applications in characterizing and processing terahertz radiation is presented. The most commonly used phase-space distributions functions: the Wigner distribution function, the ambiguity function, the spectrogram, the wavelet transform, and the fractional Fourier transform, are discussed in some details.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
D. Dragoman, M. Dragoman, Prog. Quantum Electron. 28, 1 (2004)
B.J. Williams, Nat. Photonics 1, 517 (2007)
A.M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000)
S. Akturk, X. Gu, P. Bowlan, R. Trebino, J. Opt. 12, 093001 (2010)
A. Monmayrant, S. Weber, B. Chatel, J. Phys. B 43, 103001 (2010)
S.P. Jamison, J. Shen, A.M. MacLeod, W.A. Gillespie, D.A. Jaroszynski, Opt. Lett. 28, 1710 (2003)
I.A. Walmsley, C. Dorrer, Adv.Opt. Photonics 1, 308 (2009)
C. Iaconis, I.A. Walmsley, Opt. Lett. 21, 1783 (1996)
T.E. Gureyev, A. Roberts, K.A. Nuget, J. Opt. Soc. Am. A 12, 1942 (1995)
C. Dorrer, I.A. Walmsley, EURASIP J. Appl. Sig. Process. 10, 1541 (2005)
C. Iaconis, I.A. Walmsley, Opt. Lett. 23, 792 (1998)
W. Kornelis, J. Biegert, J.W.G. Tisch, M. Nisoli, G. Sansone, C. Vozzi, S. De Silvestri, U. Keller, Opt. Lett. 28, 281 (2003)
P. Bowlan, P. Gabolde, R. Trebino, Opt. Express 15, 10219 (2007)
P.S. Addison, Physiol. Meas. 26, R155 (2005)
B.H. Kolner, J. Quantum Electron. 30, 1951 (1994)
L. Cohen, Proc. IEEE 77, 941 (1989)
S. Qian, D. Chen, IEEE Signal Processing Magazine, 52 (March 1999).
E. Sejdić, I. Djurović, J. Jiang, Digital Sig. Proc. 19, 153 (2009)
T. Iwai, N. Kawamura, T. Takemori, Opt. Commun. 95, 199 (1993)
T.A.C.M. Claasen, W.F.G. Mecklenbräuker, Philips J. Res. 35, 217 (1980)
D. Dragoman, Prog. Opt. 37, 1 (1997)
D. Dragoman, EURASIP J. Appl. Sig. Process. 10, 1520 (2005)
J. Azaña, EURASIP J. Appl. Sig. Process. 10, 1554 (2005)
T.A.C.M. Claasen, W.F.G. Mecklenbräuker, Philips J. Res. 35, 276 (1980)
F. Peyrin, R. Prost, IEEE Trans. Acoustics, Speech and Sig. Proc. 34, 858 (1986).
A.G. Kostenbauder, IEEE J. Quantum Electron. 26, 1148 (1990)
J. Paye, A. Migus, J. Opt. Soc. Am. B 12, 1480 (1995)
D. Dragoman, M. Dragoman, Appl. Opt. 35, 7025 (1996)
H. Weber, J. Mod. Opt. 39, 543 (1992)
J. Paye, IEEE J. Quantum Electron. 28, 2262 (1992)
M. Beck, M.G. Raymer, I.A. Walmsley, V. Wong, Opt. Lett. 18, 2041 (1993)
A. Gover, E. Dyunin, Y. Lurie, Y. Pinhasi, M.V. Krongauz, Phys. Rev. Special Topics 8, 030702 (2005)
J. Azaña, M.A. Muriel, J. Opt. Soc. Am. A 17, 2496 (2000)
L. Onural, T. Özgen, J. Opt. Soc. Am. 9, 252 (1992)
M.T. Özgen, K. Demirbaş, J. Opt. Soc. Am. A 15, 2117 (1998)
K.B. Wolf, D. Mendlovic, Z. Zalevsky, Appl. Opt. 37, 4374 (1998)
M.C. Beard, G.M. Turner, C.A. Schmuttenmaer, J. Phys. Chem. B 106, 7146 (2002)
A.B. U’Ren, Y. Jeronimo-Moreno, H. Garcia-Gracia, Phys. Rev. A 75, 023810 (2007)
D.S. Monaghan, U. Gopinathan, D.P. Kelly, T.J. Naughton, J.T. Sheridan, Opt. Engn. 48, 027001 (2009)
G.F. Boudreaux-Bartels, in The Wigner Distribution - Theory and Applications, in Signal Processing, ed. by W. Mecklenbräuker, F. Hlawatsch (Elsevier Science B.V, Amsterdam, 1997), pp. 269–317
A. Papoulis, J. Opt. Soc. Am. 64, 779 (1974)
T.A.C.M. Claasen, W.F.G. Mecklenbräuker, Philips J. Res. 35, 372 (1980)
D. Dragoman, M. Dragoman, K.-H. Brenner, Opt. Lett. 27, 1519 (2002)
D. Dragoman, M. Dragoman, K.-H. Brenner, Appl. Opt. 39, 2912 (2000)
A.N. Yur’yev, Telecommun. Radio Engn. 49, 72 (1995)
I.G. Cormack, W. Sibbett, D.T. Reid, J. Opt. Soc. Am. B 18, 1377 (2001)
D. Dragoman, M. Dragoman, J. Bähr, K.-H. Brenner, Appl. Opt. 38, 5019 (1999)
W.D. Furlan, G. Saavedra, E. Tajahuerce, Appl. Opt. 34, 4713 (1995)
R. Trebino, K.W. DeLong, D.N. Fittinghoff, J.N. Sweetser, M.A. Krumbügel, B.A. Richman, Rev. Sci. Instrum. 68, 3277 (1997)
D.J. Kane, J. Weston, K.-C.J. Chu, Appl. Opt. 42, 1140 (2003)
J. Paye, M. Ramaswamy, J.G. Fujimoto, E.P. Ippen, Opt. Lett. 18, 1946 (1993)
D.J. Kane, IEEE J. Sel. Topics Quantum Electron. 4, 278 (1998)
A. Baltuška, M.S. Pshenichnikov, D.A. Wiersma, IEEE J. Quantum Electron. 35, 459 (1999)
F. Gutty, S. Pitois, P. Grelu, G. Millot, M.D. Thomson, J.M. Dudley, Opt. Lett. 24, 1389 (1999)
S. Akturk, C. D’Amico, A. Mysyrowicz, J. Opt. Soc. Am. B 25, A63 (2008)
S. Akturk, A. Couairon, M. Franco, A. Mysyrowicz, Opt. Express 16, 17626 (2008)
F. Eichhorn, R.K. Olsson, J.C.D. Buron, L. Grüner-Nielsen, J.E. Pedersen, P.U. Jepsen, Opt. Express 18, 6978 (2010)
A. Ellis, U. Österberg, Opt. Lett. 34, 404 (2009)
T. Tsang, M.A. Krumbügel, K.W. DeLong, D.N. Fittinghoff, R. Trebino, Opt. Lett. 21, 1381 (1996)
A. Gaydardzhiev, I. Nikolov, I. Buchvarov, V. Petrov, F. Noack, Opt. Express 16, 2363 (2008)
E.P. Power, A.M. March, F. Catoire, E. Sistrunk, K. Krushelnick, P. Agostini, L.F. DiMauro, Nat. Photonics 4, 352 (2010)
D.T.L. Lee, A. Yamamoto, Hewlett-Packard J., 44 (December 1994).
H. Szu, Y. Sheng, J. Chen, Appl. Opt. 31, 3267 (1992)
S. Mickan, D. Abbott, J. Munch, X.-C. Zhang, T. Van Doorn, Microelectron. J. 31, 503 (2000)
M. Unser, A. Aldroubi, A. Laine (eds.), Wavelets in medical imaging, IEEE Trans. Med. Imaging 22 (2003).
D. Ming, J. Tian, J. Infrared Milli, Terahz. Waves 31, 866 (2010)
F. Truchetet, O. Laligant, Proc. SPIE 5607, 1 (2004)
M. Antonini, M. Barlaud, P. Mathieu, I. Daubechies, IEEE Trans. Image Process. 1, 205 (1992)
M. Maitre, Y. Shinagawa, M.N. Do, IEEE Trans. Image Process. 17, 946 (2008)
R.K.H. Galvão, S. Hadjiloucas, J.W. Bowen, C.J. Coelho, Opt. Express 11, 1462 (2003)
T.K. Gangopadhyay, S. Chakravorti, K. Bhattacharya, S. Chatterjee, Meas. Sci. Technol. 16, 1075 (2005)
Y. Chen, S. Huang, E. Pickwell-MacPherson, Opt. Express 18, 1177 (2010)
A.W. Lohmann, D. Mendlovic, Z. Zalevsky, Prog. Opt. 38, 263 (1998)
D. Dragoman, M. Dragoman, Opt. Commun. 141, 5 (1997)
H.M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, J. Opt. Soc. Am. A 11, 547 (1994)
L.B. Almeida, IEEE Trans. Sig. Proc. 42, 3084 (1994)
Ç. Candan, M.A. Kutay, H.M. Ozaktas, IEEE Trans. Sig. Proc. 48, 1329 (2000)
C. Capus, K. Brown, J. Acoust. Soc. Am. 113, 3253 (2003)
A.W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993)
A.W. Lohmann, B.H. Soffer, J. Opt. Soc. Am. A 11, 1798 (1994)
W.-X. Cong, N.-X. Chen, B.-Y. Gu, Appl. Opt. 37, 6906 (1998)
S. Coëtmellec, M. Brunel, D. Lebrun, J.-B. Lecourt, Opt. Commun. 249, 145 (2005)
D. Dragoman, K.-H. Brenner, M. Dragoman, J. Bähr, U. Krackhardt, Opt. Lett. 23, 1499 (1998)
D. Dragoman, M. Dragoman, K.-H. Brenner, Appl. Opt. 38, 4985 (1999)
A.W. Lohmann, D. Mendlovic, Appl. Opt. 33, 7661 (1994)
D. Dragoman, M. Dragoman, Opt. Commun. 145, 33 (1998)
D. Dragoman, M. Dragoman, K.-H. Brenner, Opt. Lett. 24, 933 (1999)
K.K. Sharma, S.D. Joshi, Opt. Commun. 265, 454 (2006)
J. García, D. Mendlovic, Z. Zalevsky, A. Lohmann, Appl. Opt. 35, 3945 (1996)
C. Cuadrado-Laborde, R. Duchowicz, R. Torroba, E.E. Sucre, Opt. Commun. 281, 4321 (2008)
M. Arif, D.M.J. Cowell, S. Freear, Ultrasound in Med. & Bio. 36, 949 (2010)
F. Nicolas, S. Coëtmellec, M. Brunel, D. Lebrun, Opt. Commun. 268, 27 (2006)
M. Li, J. Yao, Opt. Lett. 35, 223 (2010)
D. Dragoman, Opt. Commun. 128, 91 (1996)
A.W. Lohmann, H. Knuppertz, J. Jahns, J. Opt. Soc. Am. A 22, 1500 (2005)
D. Dragoman, J. Opt. Soc. Am. 13, 474 (1996)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dragoman, D. (2012). Phase-Space Processing of Terahertz Radiation. In: Peiponen, KE., Zeitler, A., Kuwata-Gonokami, M. (eds) Terahertz Spectroscopy and Imaging. Springer Series in Optical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29564-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-29564-5_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29563-8
Online ISBN: 978-3-642-29564-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)