Fractional Hankel transform studied by charge-amplitude state representations and complex fractional Fourier transformation

Optics Letters

Volumn 28, Issue 22, 2003, Pages 2177-2179

  Fan, Hong Yi ^a,b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; QUANTUM THEORY;

CHARGE-AMPLITUDE STATES; ROTATIONAL SYMMETRY;

FOURIER TRANSFORMS;

EID: 0242493643     PISSN: 01469592     EISSN: None     Source Type: Journal    
DOI: 10.1364/OL.28.002177     Document Type: Article

References (15)

1. V. Namias, J. Inst. Math. Appl. 25, 241 (1980).
2. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993).
3. D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993).
4. A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987).
5. P. Pellat-Finet, Opt. Lett. 19, 388 (1994).
6. D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, Appl. Opt. 33, 6188 (1994).
7. L. Bernardo and O. D. D. Soares, Opt. Commun. 110, 517 (1994).
8. H.-Y. Pan and H.-L. Lu, Opt. Lett. 28, 680 (2003).
9. H.-Y. Fan and J. R. Klauder, Phys. Rev. A 49, 704 (1994).
10. H.-Y. Fan and Y. Fan, Phys. Rev. A 54, 958 (1996).
11. H.-Y. Fan and X. Ye, Phys. Rev. A 51, 3343 (1995).
12. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
13. L. Yu, Y. Lu, X. Zeng, M. Huang, M. Chen, W. Huang, and Z. Zhu, Opt. Lett. 23, 1158 (1998).
14. A. Erdelryi, Higher Transcendental Functions, The Batemann Manuscript Project (McGraw-Hill, New York, 1953).
15. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer-Verlag, Berlin, 1966).