OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 3 — Feb. 1, 1983
  • pp: 387–390

Imaging and transforming transmission through a medium with nonrotation-symmetric gradient index

C. Gomez-Reino and E. Larrea  »View Author Affiliations


Applied Optics, Vol. 22, Issue 3, pp. 387-390 (1983)
http://dx.doi.org/10.1364/AO.22.000387


View Full Text Article

Enhanced HTML    Acrobat PDF (381 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The objective of this paper is to show that it is possible to transmit a paraxial optical image and transform through a dielectric inhomogeneous medium whose refractive index is given by n 2 = n 1 2 ( z ) + n 0 2 [ h 1 ( z ) x + h 2 ( z ) y g 2 ( z ) ( x 2 + y 2 ) ], where n0 = n1(0), and n1, g, h1, and h2 are arbitrary functions of z. The optical image transmission, with a scaling factor F = H2(zm), m being an integer, is obtained at planes z = zm such that H1(zm) = 0 (the image condition), and the optical transform transmission is obtained at planes z = z ˜ m such that H 2 ( z ˜ m ) = 0 (the transform condition), where H1(z) and H2(z) are two independent solutions of the paraxial ray equation (z) + g2(z)H(z) = 0 with the initial conditions H1(0) = 0,1(0) = 1,H2(0) = 1, and 2(0) = 0, where the point denotes the derivative with respect to z. Finally, we show that this medium can be represented by a transmittance function similar to the spherical-lens transmittance function and thus can be an element of image-forming systems.

© 1983 Optical Society of America

History
Original Manuscript: June 30, 1982
Published: February 1, 1983

Citation
C. Gomez-Reino and E. Larrea, "Imaging and transforming transmission through a medium with nonrotation-symmetric gradient index," Appl. Opt. 22, 387-390 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-3-387


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. K. Iga, Appl. Opt. 19, 1039 (1980). [CrossRef] [PubMed]
  2. A. Yariv, J. Opt. Soc. Am. 66, 301 (1976). [CrossRef]
  3. S. P. Yukond, B. Bendow, J. Opt. Soc. Am. 70, 172 (1980). [CrossRef]
  4. E. W. Marchand, Appl. Opt. 19, 1044 (1980). [CrossRef] [PubMed]
  5. J. A. Arnaud, Prog. Opt. 11, 247 (1973). [CrossRef]
  6. E. W. Marchand, Gradient Index Optics (Academic, New York, 1978), Chaps. 1 and 10.
  7. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), Chap. 1.
  8. S. G. Krivoshlykov, I. N. Sissakian, Opt. Quant. Electron. 12, 463 (1980). [CrossRef]
  9. M. S. Sodha, A. K. Ghatak, Inhomogeneous Optical Waveguides (Plenum, New York, 1977), Chaps. 5 and 8. [CrossRef]
  10. J. A. Arnaud, Beam and Fiber Optics (Academic, New York, 1976), Chaps. 2 and 4.
  11. A. Yariv, Quantum Electronics (Wiley, New York, 1975), Chap. 6.
  12. M. D. Feit, E. Maiden, Appl. Phys. Lett. 28, 331 (1976). [CrossRef]
  13. J. A. Arnaud, Bell Syst. Tech. J. 49, 2311 (1970).
  14. P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Chap. 7, Sec. 9.3.
  15. I. S. Gradsteyn, I. W. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980), Sec. 16.
  16. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 3.
  17. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968), Chap. 7.
  18. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Appendix III.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited