Anhui Liang^1*, Leiting Hu¹, Zhimin Liang²

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¹ College of Opto-Electronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China.
² Los Gatos High School, 20 High School Court, Los Gatos, USA.
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Abstract: The characteristics of optical waveguide of human photoreceptors play important roles in vision. The mode-field-diameter (MFD) is a very important parameter of a single-mode waveguide, and it is related to many important optical characteristics of a single-mode waveguide. Here we show that MFDs of outer segments of human foveal cones are close to the minimum values at their geometric diameter for outer segments of foveal cones. Small MFD of outer segment is important for eyes to have high spatial resolution and low interaction between neighboring cones. We propose that the ellipsoids of foveal cones act as spot size converters to reduce the coupling losses between myoids and outer segments.

Keywords: Photoreceptor, Mode-Field-Diameter, Spot Size Converter, Coupling

Cite this paper: Liang, A. , Hu, L. and Liang, Z. (2015) Mode-Field-Diameter and the Coupling Loss between Inner and Outer Segment of Photoreceptors. Optics and Photonics Journal, 5, 151-160. doi: 10.4236/opj.2015.54014.

References

[1]   Enoch, J.M. (1961) Visualization of Waveguide Modes in Retina Receptors. American Journal of Ophthalmology, 51, 1107-1118.
http://dx.doi.org/10.1016/0002-9394(61)91800-1

[2]   Snyder, A.W. and Pask, C. (1973) The Stiles-Crawford Effect-Explanation and Consequences. Vision Research, 13, 1115-1137.
http://dx.doi.org/10.1016/0042-6989(73)90148-X

[3]   Stiles, W.S. and Crawford, B.H. (1933) The Luminous Efficiency of Rays Entering the Eye Pupil at Different Points. Proceedings of the Royal Society of London, 112, 428-450.

[4]   Liang, A.H. (1998) Photoreceptors of Animals Are Quantum-Well Detectors. In: Proceedings of the 59th Autumn Meeting, The Japan Society of Applied Physics, paper 17p-ZA-1.

[5]   Vohnsen, B., Iglesias, I. and Artal, P. (2005) Guided Light and Diffraction Model of Human-Eye Photoreceptors. Journal of the Optical Society of America A, 22, 2318-2328.
http://dx.doi.org/10.1364/JOSAA.22.002318

[6]   Vohnsen, B. (2007) Photoreceptor Waveguides and Effective Retinal Image Quality. Journal of the Optical Society of America A, 24, 597-607.
http://dx.doi.org/10.1364/JOSAA.24.000597

[7]   Liang, A.H. and Hu, L.T. (2014) Six-Segment Equivalent Circuit Models of Rods and Cones. Poster paper on Optical Society Vision Meeting, 10.

[8]   Liang, A.H. and Hu, L.T. (2014) Strong Optical Coupling between Neighboring Cones on Human Retina. Poster paper on Optical Society Vision Meeting, 10.

[9]   Liang, A.H. and Hu, L.T. (2014) Optical Fibers in Human Body and Optical Communication Bionics. WOCC, invited talk, Session OFDM and Visible Light Communications, Newark.

[10]   Liang, A.H. and Hu, L.T. (2013) Novel Optical Waveguide Theory and Novel Electrical Circuit Theory of Photoreceptors in the Human Retina. In: Proceedings of PIERS, invited talk, Stockholm, Session 2P3.

[11]   Liang, A.H. (2012) Optical Communication Bionics Brings New Ideas to Optical Devices and Modules in Future High Speed Networks. Proceedings of CIOE, Invited Talk, (Shenzhen, China), Session D01.

[12]   Liang, A.H. (2011) High Speed Transponders, Systems and Optoelectronics-Bionics. Proceedings of Infostone Optical Fiber Communication Marketing and Technology, Invited Talk, (Wuhan, China).

[13]   Liang, A.H. (1997) Transmission Characteristics Related to Laplacian Mode-Field Half-Width of Noncircular Single-Mode Waveguides. Applied Optics, 36, 3793-3801.
http://dx.doi.org/10.1364/AO.36.003793

[14]   Liang, A.H. and Fan, C.C. (1998) Mode-Field Radius of Noncircular Field Single-Mode Fiber: New Definition and Application to Calculation of Splice Loss and Waveguide Dispersion. Electronics Letters, 24, 646-647.
http://dx.doi.org/10.1049/el:19880438

[15]   Honecker, J., Umbach, A., Trommer, D., Eckhardt, T. and Fischer, U.H.P. (2002) High-Speed Photo Diode Modules with up to 45 GHz Modulation Bandwidth for Optical Communication Systems. Proceedings of OFC, Paper THGG 105.

[16]   Petermann, K. (1983) Constraints for Fundamental-Mode Spot Size for Broadband Dispersion-Compensated Single Mode Fibers. Electronics Letters, 19, 712-714.
http://dx.doi.org/10.1049/el:19830485

[17]   Pask, C. (1984) Physical Interpretation of Petermann’s Strange Spot Size for Single-Mode Fibers. Electronics Letters, 20, 144-145.
http://dx.doi.org/10.1049/el:19840097

[18]   Hussey, C.D. and Martinez, F. (1985) Approximate Analytic Forms for the Propagation Characteristics of Single-Mode Optical Fibers. Electronics Letters, 21, 1103-1104.
http://dx.doi.org/10.1049/el:19850783

[19]   Fan, C.C. and Liang, A.H. (1990) Splice Loss between Different Gaussian-Elliptic-Field Single-Mode Fibers. Journal of Lightwave Technology, 8, 173-176.
http://dx.doi.org/10.1109/50.47868

[20]   Yu, S.X. (2002) Physics of Waveguide Theory. Press.njtu.edu, Beijing, 398-399.

[21]   Michael, B., De Cusatis, C.M., Enoch, J.M., Lakshminarayanan, V., Li, G.F., MacDonald, C., et al. (2010) Biological Waveguides. In: Bass, M., Ed., Handbooks of Optics, 3rd Edition, Springer-Verlag, Berlin, 8.11-8.12.

[22]   Georg, A.K. (2010) Industrial Color Physics. Springer, Berlin, 211-212.

[23]   Yuodelis, C. and Hendrickson, A. (1986) A Qualitative and Quantitative Analysis of the Human Fovea during Development. Vision Research, 26, 847-855.
http://dx.doi.org/10.1016/0042-6989(86)90143-4

[24]   Hart, N.S. (2009) Retinal Photoreceptors. In: Binder, M.D., Hirokawa, N. and Windhorst, U., Eds., Encyclopedia of Neuroscience, Springer, Berlin, 3517-3522.
http://dx.doi.org/10.1007/978-3-540-29678-2_5109

[25]   Sidman, R.L. (1957) The Structure and Concentration of Solids in Photoreceptor Cells Studied by Refractometry and Interference Microscopy. The Journal of Cell Biology, 3, 15-30.
http://dx.doi.org/10.1083/jcb.3.1.15

[26]   Hoang, Q.V., Linsenmeier, R.A., Chung, C.K. and Curcio, C.A. (2002) Photoreceptor Inner Segments in Monkey and Human Retina: Mitochondrial Density, Optics, and Regional Variation. Visual Neuroscience, 19, 395-407.
http://dx.doi.org/10.1017/S0952523802194028

[27]   Hsu, A., Tsukamoto, Y., Smith, R.G. and Sterling, P. (1998) Functional Architecture of Primate Cone and Rod Axons. Vision Research, 38, 2539-2549.
http://dx.doi.org/10.1016/S0042-6989(97)00370-2

[28]   Yamada, E. (1969) Some Structure Features of the Fovea Centralis in the Human Retina. Archives of Ophthalmology, 82, 151-159.
http://dx.doi.org/10.1001/archopht.1969.00990020153002

[29]   Soares, F.M., Karouta, F., Geluk, E.J., van Zantvoort, J.H.C., de Waardt, H. and Smit, M.K. (2004) Extremely Low-Loss Vertically-Tapered Spot Size Converter in InP-Based Waveguide Structure. Proceedings of the 9th Annual Symposium of the IEEE/LEOS Benelux Chapter, Ghent, 2-3 December 2004, 127-130.

[30]   Neumann, E.G. (1988) Single-Mode Fiber. Springer-Verlog, Berlin.
http://dx.doi.org/10.1007/978-3-540-48173-7

[31]   Marcuse, D. (1980) Radiation Losses of Step-Tapered Channel Waveguides. Applied Optics, 19, 3676-3681.
http://dx.doi.org/10.1364/AO.19.003676

[32]   Yoshimoto, N., Kawano, K., Hasumi, Y., Takeuchi, H., Kondo, S. and Noguchi, Y. (1994) InGaAlAs/InAlAs Multiple Quantum Well Phase Modulator Integrated with Spot Size Conversion Structure. IEEE Photonics Technology Letters, 6, 208-210.
http://dx.doi.org/10.1109/68.275430

[33]   Marcuse, D. (1970) Excitation of the Dominant Mode of a Round Fiber by a Gaussian Beam. Bell System Technical Journal, 49, 1695-1703.
http://dx.doi.org/10.1002/j.1538-7305.1970.tb04285.x