A Mueller matrix model of Haidinger's brushes

Stokes vectors and Mueller matrices are used to model the polarisation properties (birefringence, dichroism and depolarisation) of any optical system, in particular the human eye. An explanation of the form and behaviour of the entoptic phenomenon of Haidinger's brushes is derived that complements and expands upon a previous study. The relationship between the appearance of Haidinger's brushes and intrinsic ocular retardation is quantified and the model allows prediction of the effect of any retarder of any orientation placed between a source of polarised light and the eye. The simple relationship of minimum contrast of Haidinger's brushes to the cosine of total retardation is derived.

[1]  R. Weinreb,et al.  Spatially resolved birefringence of the retinal nerve fiber layer assessed with a retinal laser ellipsometer. , 1992, Applied optics.

[2]  P Artal,et al.  Double-pass imaging polarimetry in the human eye. , 1999, Optics letters.

[3]  Richard A. Bone,et al.  Macular pigment in henle fiber membranes:A model for Haidinger's brushes , 1984, Vision Research.

[4]  G. V. van Blokland,et al.  Birefringence of the human foveal area assessed in vivo with Mueller-matrix ellipsometry. , 1988, Journal of the Optical Society of America. A, Optics and image science.

[5]  Stefan Goelz,et al.  In-vivo measurement of the retinal birefringence with regard to corneal effects using an electro-optical ellipsometer , 1996, European Conference on Biomedical Optics.

[6]  Hermann von Helmholtz,et al.  Treatise on Physiological Optics , 1962 .

[7]  L. Zangwill,et al.  Measurement of the magnitude and axis of corneal polarization with scanning laser polarimetry. , 2002, Archives of ophthalmology.

[8]  H. Vries,et al.  Properties of the eye with respect to polarized light , 1953 .

[9]  R. Weinreb,et al.  Individualized compensation of anterior segment birefringence during scanning laser polarimetry. , 2002, Investigative ophthalmology & visual science.

[10]  A. Stanworth,et al.  The measurement and clinical significance of the Haidinger effect. , 1955, Transactions. Ophthalmological Society of the United Kingdom.

[11]  S. Miyazaki,et al.  Action potential and non‐linear current‐voltage relation in starfish oocytes. , 1975, The Journal of physiology.

[12]  Richard A. Bone,et al.  Optical density spectra of the macular pigmentin vivo andin vitro , 1992, Vision Research.

[13]  D. Hunter,et al.  Mathematical modeling of retinal birefringence scanning. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  B. Hochheimer,et al.  Retinal polarization effects. , 1982, Applied optics.

[15]  G. V. van Blokland,et al.  Ellipsometry of the human retina in vivo: preservation of polarization. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[16]  R. J. King Polarized Light and Optical Measurement , 1971 .

[17]  R. Knighton,et al.  Linear birefringence of the central human cornea. , 2002, Investigative ophthalmology & visual science.

[18]  Xiang-Run Huang,et al.  Analytical model of scanning laser polarimetry for retinal nerve fiber layer assessment. , 2002, Investigative ophthalmology & visual science.

[19]  H. B. Brink,et al.  Birefringence of the human crystalline lens in vivo. , 1991, Journal of the Optical Society of America. A, Optics and image science.

[20]  G. V. van Blokland,et al.  Corneal polarization in the living human eye explained with a biaxial model. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[21]  D Carden,et al.  Macular pigment and risk for age-related macular degeneration in subjects from a Northern European population. , 2001, Investigative ophthalmology & visual science.

[22]  W. Shurcliff Polarized light; production and use , 1962 .

[23]  B. F. Hochheimer,et al.  Polarized light retinal photography of a monkey eye , 1978, Vision Research.

[24]  Richard A. Bone,et al.  The role of the macular pigment in the detection of polarized light , 1980, Vision Research.

[25]  M Kuba,et al.  Visually evoked potentials in response to rotating plane-polarized blue light. , 1990, Ophthalmic research.

[26]  J. Bueno,et al.  Measurement of parameters of polarization in the living human eye using imaging polarimetry , 2000, Vision Research.

[27]  Gundo Boehm,et al.  ÜBER MAGULARE (HAIDINGER'SCHE) POLARISATIONSBÜSCHEL UND ÜBER EINEN POLARISATIONSOPTISCHEN FEHLER DES AUGES. 1 , 1940 .

[28]  P Artal,et al.  Polarization and retinal image quality estimates in the human eye. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[29]  A. Stanworth,et al.  Retinal pigment and the Haidinger effect , 1954, The Journal of physiology.

[30]  C. Shute,et al.  Haidinger's brushes and predominant orientation of collagen in corneal stroma , 1974, Nature.

[31]  G. Misson Form and behaviour of Haidinger's brushes , 1993, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[32]  J. Bueno,et al.  Spatially resolved polarization properties for in vitro corneas , 2001, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[33]  C. C. D. Shute Haidinger's brushes , 1978, Vision Research.

[34]  P. Cz. Handbuch der physiologischen Optik , 1896 .

[35]  R. Hemenger,et al.  Dichroism of the macular pigment and Haidinger's brushes. , 1982, Journal of the Optical Society of America.

[36]  R A Weale,et al.  Sex, age and the birefringence of the human crystalline lens. , 1979, Experimental eye research.

[37]  Edward Collett,et al.  Polarized light. Fundamentals and applications , 1993 .

[38]  A. Benoit,et al.  Linear dichroism of the retinal nerve fiber layer expressed with Mueller matrices. , 2001, Applied optics.