PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 131 > pp. 425-440

FOCUSING PROPERTIES OF MAXWELL'S FISH EYE MEDIUM

By L. A. Pazynin and G. O. Kryvchikova

Full Article PDF (211 KB)

Abstract:
The existence of drains in the field of the point source both for the spherical cavity with perfectly conducting boundary, filled with a homogeneous medium, and for unbounded Maxwell's fish eye (MFE) are rigorously proved. The existence of all class of generalized Green functions for unbounded MFE medium is established. The Green function describing the perfect focusing is found in this class. The same result for the MFE lens is obtained.

Citation:
L. A. Pazynin and G. O. Kryvchikova, "Focusing Properties of Maxwell's Fish Eye Medium," Progress In Electromagnetics Research, Vol. 131, 425-440, 2012.
doi:10.2528/PIER12073009
http://www.jpier.org/PIER/pier.php?paper=12073009

References:
1. Maxwell, , J. C., , "Problems," Cambidge and Dublin Math. J., Vol. 8, 188, 1854.

2. Demkov, , Y. N. , V. N. Ostrovsky, and , "Intrinsic symmetry of the Maxwell `¯sh-eye' problem and the Fock group for the hydrogen atom," Zh. Eksp. Teor. Fiz; Sov. Phys. --- JETP,, Vol. 60/33, 1083, 2011.

3. Szmytkowski, R., , "Green's function for the wavized Maxwell fish eye problem," Journal of Physics A,, Vol. 44, 065203, 2011.
doi:10.1088/1751-8113/44/6/065203

4. Leonhardt, U., "Perfect imaging without negative reflection," New Journal of Physics, , Vol. 11, 093040, 2009.
doi:10.1088/1367-2630/11/9/093040

5. Leonhardt, U. , T. G. Philbin, and , "Perfect imaging with positive refraction in three dimensions," Physical Review A,, Vol. 81, 011804, 2010..
doi:10.1103/PhysRevA.81.011804

6. Leonhardt, , U., "Reply to comment on `Perfect imaging without negative refraction'," New Journal of Physics, Vol. 12, 2010.

7. Leonhardt, , U. , T. G. Philbin, and , "Reply to comment on `Perfect imaging with positive refraction in three dimension'," Physical Review A, Vol. 82, 057802(R, 2010.
doi:10.1103/PhysRevA.82.057802

8. Leonhardt, U. , S. Sahebdivan, and , "Perfect imaging: They don't do it with mirrors," Journal of Optics, Vol. 13, 024016, 2011..
doi:10.1088/2040-8978/13/2/024016

9. Born, M. and E. Wolf, "Principles of Optics, ," Cambridge University Press, Cambridge, 1999.

10. Blaikie, R. J., "Comments on perfect imaging without negative refraction," New Journal of Physics,, Vol. 12, 058001, 2010.
doi:10.1088/1367-2630/12/5/058001

11. Kinsler, P., A. Favaro, and , "Comment on: Reply to comment on `Perfect imaging without negative refraction'," New Journal of Physics,, Vol. 13, 028001, 2011..
doi:10.1088/1367-2630/13/2/028001

12. Merlin, R., , "Merlin, R., \Maxwell's fish-eye lens and the mirage of perfect imaging," Journal of Optics, Vol. 13, 024017, 2011..
doi:10.1088/2040-8978/13/2/024017

13. Sun, F. , F. , S. He, and , "Can Maxwell's fish eye lens really give perfect imaging?," Progress In Electromagnetics Research, Vol. 108, 307-322, 2010..
doi:10.2528/PIER10091003

14. Sun, , F., X. Ge, and S. He, "Can Maxwell's fish eye lens really give perfect imaging? Part II. The case with passive drains," Progress In Electromagnetics Research, Vol. 110, 313-328, 2010..
doi:10.2528/PIER10110313

15. Mishchenko, M. I., , L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, , Cambridge University Press, , 2002..

16. Erdelyi, , A., et al., , "Higher Transcendental Functions," McGraw-Hill Book Companies, , 1953.

17. Varshlovich, , D. A., A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum,, World Scientific, Singapore, 1988..

18. Erdelyi, , A., et al., , Higher Transcendental Functions,, 2nd Ed., McGraw-Hill Book Companies, New York, 1953.

19. Gradshteyn, I. S., I. M. Ryzhik, and , Tables of Integrals, Series and Products,, Academic, , New York, 1980.

20. Ginsburg, V. L., V. L., "The Propagation of Electromagnetic Waves in Plasmas," Pergamon Press,, 1970..


© Copyright 2014 EMW Publishing. All Rights Reserved