Theoretical and experimental analysis of Maxwell fish-eye spherical lens diffraction intensity

In this paper, the diffraction intensity of the Maxwell fish-eye spherical lens is analyzed using the matrix optic theory and the experimental setup. In addition, the diffraction intensity of the homogenous spherical lens is given basing on Kirchhoff's diffraction theory. Comparing the theoretical data and the experimental data of the Maxwell fish-eye spherical lens and the homogenous spherical lens, respectively, there are good agreed with each other. Results indicate the diffractive intensity of the Maxwell fish-eye spherical lens and the homogenous spherical lens is lager than 95% and smaller than 80%, respectively, and the Maxwell fish-eye spherical lens has smaller focusing size than the homogenous spherical lens.

[1]  Bangren Shi,et al.  Fabrication of Maxwell fish-eye spherical lenses and research on distribution profiles of gradient refractive index. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  S. A. Collins.  Lens-System Diffraction Integral Written in Terms of Matrix Optics , 1970 .

[3]  J M Gordon,et al.  Spherical gradient-index lenses as perfect imaging and maximum power transfer devices. , 2000, Applied optics.

[4]  E Nihei,et al.  Spherical gradient-index polymer lens with low spherical aberration. , 1994, Applied optics.

[5]  George Smith,et al.  Tomographic method for measurement of the gradient refractive index of the crystalline lens. I. The spherical fish lens. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Y Sumi,et al.  Spherical gradient-index sphere lens. , 1986, Applied optics.

[7]  Liu Ai-mei.  Research on coupling efficiencies of ball lenses , 2006 .

[8]  Diana Tentori,et al.  Polarization optics of GRIN lenses , 2001 .

[9]  J Shimada,et al.  Graded-index sphere lens with hemispherical rod cladding. , 1982, Applied optics.

[10]  W. Steen,et al.  Principles of Optics M. Born and E. Wolf, 7th (expanded) edition, Cambridge University Press, Cambridge, 1999, 952pp. £37.50/US $59.95, ISBN 0-521-64222-1 , 2000 .

[11]  Lv Hao.  Research on diffraction intensity distribution of ball lens , 2006 .

[12]  V. I. Tarkhanov,et al.  Lens with a spherical gradient of refractive index, ideally focusing for an object at a finite distance , 2006 .