Symmetry properties and polarization descriptors for an arbitrary electromagnetic wavefield

Progress in Optics

Volumn 49, Issue C, 2006, Pages 315-380

  Brosseau, Christian ^a   Dogariu, Aristide ^b  

^a UNIVERSITÉ DE BRETAGNE OCCIDENTALE   (France)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846249009     PISSN: 00796638     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0079-6638(06)49004-1     Document Type: Chapter

References (200)

1. G.S. Agarwal J. Mod. Opt. 52 2005 651
2. L. Allen J.H. Eberly Optical Resonance and Two-Level Atoms 1975 Wiley New York
3. A.P. Alodzhants S.M. Arakelyan Zh. Éksp. Teor. Fiz. 113 1998 1235 JETP 86 1998 672
4. A.P. Alodzhants S.M. Arakelyan Opt. Spectrosk. 97 2004 424 Opt. Spectrosc. 97 2004 453
5. O.V. Angel'skii A.G. Ushenko A.D. Arakhelyuk S.B. Ermolenko D.N. Burkovets Yu.A. Ushenko Opt. Spectrosc. 89 2000 973 Opt. Spectrosc. 89 2000 1050 for an interesting discussion of eqs. (13) and (14)
6. P.K. Aravind Opt. Commun. 94 1992 192
7. K. Arvind S. Mallesh N. Mukunda J. Phys. A 30 1997 2417
8. R.A. Balakrishnan R. Bishop R. Dadoloff Phys. Rev. Lett. 64 1990 2107
9. R. Barakat J. Opt. Soc. Am. 53 1963 1771
10. R. Barakat Opt. Commun. 23 1977 147
11. R. Barakat Opt. Acta 30 1983 1171
12. R. Barakat Opt. Commun. 123 1996 443
13. R. Barakat C. Brosseau J. Opt. Soc. Am. A 10 1993 529
14. W.L. Barnes A. Dereux T.W. Ebbesen Nature (London) 424 2003 824
15. J.D. Barrow R.R. Burman Nature (London) 307 1984 14
16. L. Bass E. Schrödinger Proc. Roy. Soc. London A 232 1955 1
17. W.E. Baylis J. Bonenfant J. Derbyshire J. Huschilt Am. J. Phys. 61 1993 534
18. A.V. Berezin Y.A. Kurochkin E.A. Tolkachev Quaternions in Relativistic Physics 1989 Nauka i Technika Minsk
19. M.V. Berry Proc. Roy. Soc. London A 392 1984 45
20. M.V. Berry Proc. Roy. Soc. London A 414 1987 31
21. M.V. Berry J. Mod. Opt. 34 1987 1401
22. M.V. Berry Singular Optics 2000 SPIE Alushta, Crimea 1 12
23. M.V. Berry M.R. Dennis Proc. Roy. Soc. London A 457 2001 141
24. E. Betzig J. Trautman T. Harris J. Weiner R. Kostelak Science 251 1991 1468
25. R. Bhandari Phys. Lett. A 133 1988 1
26. D. Bicout C. Brosseau A. Martinez J.M. Schmitt Phys. Rev. E 49 1994 1767
27. L.C. Biedenharn Ann. Phys. (New York) 4 1958 104
28. L.C. Biedenharn Ann. Phys. (New York) 6 1959 399
29. L.C. Biedenharn J.D. Louck Angular Momentum in Quantum Physics: Theory and Application 1981 Addison–Wesley Redwood City, CA
30. F.J. Bloore J. Phys. A: Math. Gen. 9 1976 2059
31. K. Blum Density Matrix, Density Matrix Theory and Applications 2nd edition 1996 Plenum New York
32. G.W. Bluman J.D. Cole Similarity Methods for Differential Equations 1974 Springer-Verlag New York
33. G.W. Bluman S. Kumei Symmetries and Differential Equations 1989 Springer-Verlag New York
34. J. Bohn Phys. Rev. Lett. 66 1991 1547
35. M. Born E. Wolf Principles of Optics 7th edition 1999 Cambridge Univ. Press New York
36. W.P. Bowen N. Treps R. Schnabel P.K. Lam Phys. Rev. Lett. 89 2002 253601
37. C. Brosseau Optik 104 1996 21
38. C. Brosseau Polarized Light: A Statistical Optics Approach 1998 Wiley New York
39. C. Brosseau R. Barakat Opt. Commun. 84 1991 127
40. C. Brosseau D. Bicout Phys. Rev. E 50 1994 4997
41. A.V. Burkalov M.V. Chekhova O.A. Karabutova D.N. Klyshko S.P. Kulik Phys Rev. A 60 1999 R4209
42. A.V. Burkalov D.N. Klyshko Pis'ma Zh. Eksp. Teor. Fiz. 69 1999 795 JETP Lett. 69 1999 839
43. J. Byrne J. Phys. B: Atom. Molec. Phys. 4 1971 940
44. T. Carozzi R. Karlsson J. Bergman Phys. Rev. E 61 2000 2024
45. E. Cartan The Theory of Spinors 1966 Dover Mineola, NY
46. K.M. Case Transp. Theor. and Stat. Phys. 17 1988 635
47. S. Cloude Optik 75 1986 26
48. J.F. Cornwell Group Theory in Physics, vol. 1 Techniques in Physics vol. 7 1984 Academic Press London
49. T.W. Cronin N. Shashar R.L. Caldwell J. Marshall A.G. Cheroske T.-H. Chiou Integr. Comp. Biol. 43 2003 549
50. R.H. Dalitz Proc. Phys. Soc. A 65 1952 175
51. R. Dandliker P. Tortora L. Vaccaro A. Nesci J. Opt. A: Pure Appl. Opt. 6 2004 S18
52. S.E. Darden Am. J. Phys. 35 1967 727
53. S.E. Darden H.H. Barschall W. Haeberli Proceedings of the International Conference on Polarization Phenomena in Nuclear Reactions 1971 University of Wisconsin Press Madison, WI 39
54. L. de Broglie J.P. Vigier Phys. Rev. Lett. 28 1972 1001
55. M.R. Dennis Topological singularities in wave fields 2001 Bristol University PhD thesis
56. M.R. Dennis Opt. Commun. 213 2002 201
57. M.R. Dennis J. Opt. A: Pure Appl. Opt. 6 2004 S26
58. G. Deschamps Proc. IRE 39 1951 540
59. H.G. Eggleston Convexity 1963 Cambridge University Press Cambridge
60. J. Ellis A. Dogariu J. Opt. Soc. Am. A 21 2004 988
61. J. Ellis A. Dogariu Opt. Commun. 253 2005 257
62. J. Ellis A. Dogariu Phys. Rev. Lett. 95 2005 203905
63. J. Ellis A. Dogariu J. Opt. Soc. Am. A 22 2005 491
64. J. Ellis S. Ponomarenko A. Dogariu E. Wolf Opt. Commun. 248 2005 333
65. Y. Fainman J. Shamir Appl. Opt. 23 1984 3188
66. U. Fano Rev. Mod. Phys. 29 1957 74
67. U. Fano J. Opt. Soc. Am. 39 1949 859
68. U. Fano Phys. Rev. 93 1954 121
69. U. Fano L. Fano Physics of Atoms and Molecules 1980 Univ. Chicago Press Chicago, IL
70. U. Fano G. Racah Irreductible Tensorial Sets 1959 Academic Press New York
71. F.I. Fedorov Zh. Prikl. Spectrosk. 2 1965 523
72. F.I. Fedorov Zh. Prikl. Spectrosk. 4 1966 58
73. F.I. Fedorov Theory of Gyrotropy 1976 Nauka i Technika Minsk
74. R.P. Feynman R.B. Leighton M. Sands The Feynman Lectures on Physics, vol. 3 1965 Addison–Wesley Reading, MA
75. R.P. Feynman F.L. Vernon R.W. Hellworth J. Appl. Phys. 28 1957 49
76. J. Fourier The Analytical Theory of Heat 1878 G.E. Stechert & Co. New York
77. D. Hestenes G. Sobcyk Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics 1984 Reidel Dordrecht
78. A. Galindo C. Sanchez del Rio Am. J. Phys. 29 1961 582
79. M. Gell-Mann Y. Ne'eman The Eight-Fold Way 1964 Benjamin New York
80. A.S. Goldhaber M.M. Nieto Rev. Mod. Phys. 43 1971 277
81. D. Griffiths Introduction to Elementary Particles 1987 Wiley New York
82. K. Gurlebeck W. Sprossig Quaternionic and Clifford Calculus for Physicists and Engineers 1997 Wiley Chichester
83. E.P. Gyftopoulos E. Çubusku Phys. Rev. E 55 1997 3851
84. W. Haidinger Ann. Physik 67 1846 435
85. W. Haidinger Ann. Physik 70 1847 531
86. J.V. Hajnal Proc. R. Soc. A 430 1990 413
87. D. Han Y.S. Kim M.E. Noz Phys. Rev. E 56 1997 6065
88. D. Han Y.S. Kim M.E. Noz Phys. Rev. E 60 1999 1036
89. P.M. Harman The Scientific Letters and Papers of James Clerk Maxwell 1990 Cambridge University Press New York
90. D. Hestenes Spacetime Algebra 1966 Gordon and Breach New York
91. D. Hestenes New Foundations for Classical Mechanics 1990 Reidel Dordrecht
92. N. Jacobson Lie Algebras 1979 Dover Press New York
93. B. Jancewicz Multivectors and Clifford Algebras in Electrodynamics 1988 World Scientific Singapore
94. J.M. Jauch F. Rohrlich The Theory of Photons and Electrons 1955 Addison–Wesley New York
95. R.C. Jones J. Opt. Soc. Am. 31 1941 488
96. P. Karasev A.V. Masalov Opt. Spektrosk. 74 1993 928 Opt. Spectrosc. 74 1993 551
97. A. Katz Computational Rigid Vehicle Dynamics 1997 Krieger Malabar, FL
98. O. Keller J. Chem. Phys. 112 2000 7856
99. P.J. Kelly M.L. Weiss Geometry and Convexity 1979 Wiley New York
100. K. Kim L. Mandel E. Wolf J. Opt. Soc. Am. A 4 1987 433
101. D.N. Klyshko Zh. Éksp. Teor. Fiz. 111 1997 1955 JETP 84 1997 1065
102. I.V. Kolokolov K.S. Turitsyn Zh. Éksp. Teor. Fiz. 125 2004 395 JETP 98 2004 348
103. N. Korolkova G. Leuchs R. Loudon T.C. Ralph S. Silberhorn Phys. Rev. A 65 2002 052306
104. U. Kreibig M. Vollmer Optical Properties of Metal Clusters 1995 Springer-Verlag New York
105. W. Lakin Phys. Rev. 98 1955 139
106. J. Lindberg T. Setälä M. Kaivola A.T. Friberg J. Opt. A: Pure Appl. Opt. 6 2004 S59
107. K. Lindfors T. Setälä M. Kaivola A.T. Friberg J. Opt. Soc. Am. 22 2005 561
108. P. Lounesto Clifford Algebras and Spinors 2001 Cambridge University Press Cambridge, UK
109. A. Luis Phys. Rev. A 66 2002 013806
110. A. Luis Opt. Commun. 253 2005 10
111. E. Majorana Nuovo Cimento 9 1932 43
112. L. Mandel E. Wolf Optical Coherence and Quantum Optics 1995 Cambridge University Press New York
113. J.C. Maxwell Proc. Roy. Soc. London 13 1864 531
114. J.C. Maxwell A Treatise on Electricity and Magnetism 2 vols. 1962 Dover New York
115. A.A. Mayer Kvantovaya Elektron. (Moscow) 18 1991 1264
116. F. Meier B. Zakharchenya Optical Orientation 1984 North-Holland New York
117. C.R. Menyuk P.K.A. Wai J. Opt. Soc. Am. B 11 1994 1288
118. C.W. Misner J.A. Wheeler Ann. Phys. (New York) 2 1957 525
119. J.A. Morales E. Navarro Phys. Rev. E 67 2003 026605
120. H. Mueller J. Opt. Soc. Am. 38 1948 661
121. J. Müller C. Sönnichen H. von Poschingen G. von Plessen T.A. Klar J. Feldmann Appl. Phys. Lett. 81 2002 171
122. C.J. Mullin J.M. Keller C.L. Hammer R.H. Good Jr. Ann. Phys. (New York) 37 1966 55
123. C. Nash S. Sen Topology and Geometry for Physicists 1983 Academic Press London
124. M.N. Nielsen I.L. Chuang Quantum Computation and Quantum Information 1996 Cambridge University Press Cambridge, UK
125. M. Nieto-Vesperinas N. Garcia Optics at the Nanometer Scale, Imaging and Storing with Photonic Near Fields 1993 Kluwer Dordrecht
126. M. Nieto-Vesperinas N. Garcia Optics at the Nanometer Scale 1996 Kluwer Dordrecht
127. J.F. Nye Proc. Roy. Soc. London A 389 1983 279
128. J.F. Nye Natural Focusing and Fine Structure of Light 1999 IoPP Bristol Chapters 12 and 13
129. J.F. Nye J.V. Hajnal Proc. Roy. Soc. A 409 1987 21
130. M. Ohtsu K. Kobayashi Optical Near Fields 2004 Springer-Verlag Berlin
131. P.J. Olver Applications of Lie Groups to Differential Equations 1986 Springer-Verlag New York
132. E.L. O'Neill Introduction to Statistical Optics 1963 Addison–Wesley Reading, MA
133. S. Pancharatnam Proc. Indian Acad. Sci. A 44 1956 2477
134. G.B. Parrent P. Roman Nuovo Cimento 15 1960 370
135. P. Pellat-Finet Optik 84 1990 169
136. P. Pellat-Finet Optik 90 1992 101
137. R. Penrose W. Rindler Spinors and Space Time, vol. 1 Cambridge Monographs on Mathematical Physics 1984 Cambridge University Press New York
138. A. Picozzi Opt. Lett. 29 2004 1653
139. D.W. Pohl D. Courjon Near Field Optics NATO Advanced Study Institute, Series E: Applied Sciences vol. 242 1993 Kluwer Dordrecht
140. H. Poincaré Théorie mathématique de la Lumière 1892 Georges Carré Paris
141. A. Proca J. Phys. (Paris) 8 1937 23
142. G. Ramachandran K.S. Mallesh Phys. Rev. C 40 1989 1461
143. G. Ramachandran K.S. Mallesh V. Ravishankar J. Phys. G 10 1984 L164
144. G. Ramachandran R.K. Umerjee Nucl. Phys. 54 1964 665
145. S. Ramaseshan R. Nityananda Curr. Sci. India 55 1986 1225
146. S. Ramaseshan R. Nityananda Curr. Sci. India 67 1994 217
147. S.K. Rhodes K.A. Nugent A. Roberts J. Opt. Soc. Am. 19 2002 1689
148. M. Richartz H.-Y. Hsü J. Opt. Soc. Am. 39 1949 136
149. B.A. Robson The Theory of Polarization Phenomena 1974 Clarendon Press Oxford
150. P. Roman Nuovo Cimento 13 1959 2546
151. P. Roman Proc. Phys. Soc. 74 1959 649
152. Rozenberg, G.V., 1946, Doctoral dissertation, Moscow University, Moscow
153. G.V. Rozenberg Usp. Fiz. Nauk 71 1960 173
154. T. Saastamoinen J. Tervo J. Mod. Opt. 51 2004 2039
155. R.Z. Sagdeev D.A. Usikov G.M. Zaslavsky Nonlinear Physics 1988 Harwood Academic Chur, Switzerland
156. J.C. Samson J. Geophys. 48 1980 195
157. J.C. Samson J.V. Olson Geophys. J. R. Astron. Soc. 61 1980 115
158. J. Sanches-Mondragon K.B. Wolf Lie Methods in Optics 1986 Springer-Verlag Berlin
159. C.P. Schlichter Principles of Magnetic Resonance 3rd edition 1990 Springer-Verlag New York
160. I.E. Segal Ann. Math. (New York) 48 1947 930
161. T. Setälä M. Kaivola A.T. Friberg Phys. Rev. Lett. 88 2002 123902
162. T. Setälä K. Lindfors M. Kaivola J. Tervo A.T. Friberg Opt. Lett. 29 2004 2587
163. T. Setälä A. Shevchenko M. Kaivola A.T. Friberg Phys. Rev. E 66 2002 016615
164. W.A. Shurcliff Polarized Light 1962 Harvard University Press Cambridge, MA
165. R. Simon N. Mukunda J. Opt. Soc. Am. 15 1998 2146
166. P. Soleillet Ann. Phys. (Paris) 12 1929 23
167. E. Spanier Algebraic Topology 1966 McGraw-Hill New York
168. Stamov, D.G., 1953, Doctoral dissertation, Moscow Univ., Moscow
169. G.G. Stokes Proc. Cambridge Phil. Soc. 1 1852 115
170. G.G. Stokes Trans. Cambridge Phil. Soc. 9 1852 399
171. Y.P. Svirko N.I. Zheludev Polarization of Light in Nonlinear Optics 2000 Wiley New York
172. H. Swindell Polarized Light Benchmark Papers in Optics 1975 Halsted New York
173. J. Takahara T. Kobayashi Opt. Phot. News 15 2004 55
174. H. Takenaka Nouv. Rev. Opt. 4 1973 37
175. M.V. Tratnik J.E. Sipe Phys. Rev. A 35 1987 2965
176. M.V. Tratnik J.E. Sipe Phys. Rev. A 35 1987 2976
177. M.V. Tratnik J.E. Sipe Phys. Rev. A 36 1987 4817
178. V.V. Tuchin Tissue Optics Light Scattering Methods and Instruments for Medical Diagnosis vol. TT38 2000 SPIE Optical Engineering Press Bellingham, WA
179. H. Urbantke Am. J. Phys. 59 1991 503
180. P. Vahimaa J. Tervo J. Opt. A: Pure Appl. Opt. 6 2004 S41
181. N. van Hulst A. Lewis Proceedings of the Fourth International Conference on Near Field Optics, and references therein 71 1998 1 Ultramicroscopy
182. H.G. Venkatesh J. Ram J. Phys. A: Math. Gen. 9 1976 999
183. H.G. Venkatesh G.G. Sarkar J. Phys. A: Math. Gen. 9 1976 1015
184. R. Viana Ramos J. Mod. Opt. 52 2005 2093
185. A.G. Wagh V.C. Rakhecha Phys. Lett. A 197 1995 112
186. T.H. Waterman Polarization sensitivity H. Autrum Handbook of Sensory Physiology, VII/6B 1981 Springer-Verlag Berlin
187. D.L. Weaver Am. J. Phys. 44 1976 32
188. D.L. Weaver Am. J. Phys. 46 1978 721
189. R. Wehner J. Exp. Biol. 204 2001 2589
190. A. Wehrl Rev. Mod. Phys. 50 1978 221
191. C. Whitney J. Opt. Soc. Am. 61 1971 1207
192. N. Wiener Acta Math. 55 1930 182
193. O. Wiener Ann. Phys. 40 1890 203
194. E. Wolf Nuovo Cimento 12 1954 884
195. E. Wolf Proc. Roy. Soc. London A 225 1954 96
196. E. Wolf Nuovo Cimento 13 1959 1165
197. E. Wolf Phys. Lett. A 312 2003 263
198. A. Yodh B. Chance Phys. Today 48 1995 34
199. V.S. Zapasskii G.C. Kozlov Opt. Spectrosc. 78 1995 88
200. Z.W. Zwanziger U. Koenig A. Pines Ann. Rev. Phys. Chem. 41 1990 601