Modelling and design of modified Wollaston prisms and the application in differential interference contrast microscopy

Wollaston prisms and the modified Wollaston prisms, which are interesting for various applications like optical metrology, topography of surfaces and biological imaging, has been theoretically studied and also been practically applied. The previous studies are mostly based on ray tracing analysis and, as a result, the information that can be obtained are somehow restricted. In this paper, we propose a geometric field tracing technique for the simulation of light propagation through Wollaston prisms. In geometric field tracing we seek for the solutions to Maxwell's equations under the geometrical optics approximation, so that all the properties of light as electromagnetic field are retained. Using the proposed simulation technique, we present the simulation of a differential interference contrast (DIC) microscopy, in which the modified Wollaston prism is used as the key component.

[1]  M. Berry,et al.  Conical diffraction: observations and theory , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[2]  S. Seshadri.  Beam dynamics of two modes propagating along the optic axis in a uniaxial crystal. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Michael V Berry,et al.  Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike , 2004 .

[4]  Hollis H. C. Chen.  A coordinate‐free approach to wave propagation in anisotropic media , 1982 .

[5]  Lifeng Li,et al.  Reformulation of the fourier modal method for surface-relief gratings made with anisotropic materials , 1998 .

[6]  Y. Kivshar,et al.  Spatially engineered polarization states and optical vortices in uniaxial crystals. , 2010, Optics express.

[7]  D. W. Berreman,et al.  Optics in Stratified and Anisotropic Media: 4×4-Matrix Formulation , 1972 .

[8]  T. Gaylord,et al.  Electromagnetic transmission and reflection characteristics of anisotropic multilayered structures , 1987 .

[9]  Numerical and experimental results for focusing of three-dimensional electromagnetic waves into uniaxial crystals. , 2009 .

[10]  T K Gaylord,et al.  Analysis and design of modified Wollaston prisms. , 1999, Applied optics.

[11]  G. Cincotti,et al.  Nonparaxial description of reflection and transmission at the interface between an isotropic medium and a uniaxial crystal. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  É. Lalor,et al.  The Angular Spectrum Representation of Electromagnetic Fields in Crystals. I. Uniaxial Crystals , 1972 .

[13]  J. Donegan,et al.  Conical diffraction and Bessel beam formation with a high optical quality biaxial crystal. , 2009, Optics express.

[14]  G. Cincotti,et al.  Propagation of cylindrically symmetric fields in uniaxial crystals. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  T. Gaylord,et al.  Light propagation characteristics for arbitrary wavevector directions in biaxial media by a coordinate-free approach. , 1991, Applied optics.

[16]  Site Zhang,et al.  Approximate solution of Maxwell’s equations by geometrical optics , 2015, SPIE Optical Systems Design.

[17]  Michael W. Davidson,et al.  Differential Interference Contrast Microscopy and Modulation Contrast Microscopy , 2012 .

[18]  B. Crosignani,et al.  Vectorial theory of propagation in uniaxially anisotropic media. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Frank Wyrowski,et al.  Introduction to field tracing , 2011 .

[20]  J. Stamnes,et al.  Double refraction of a Gaussian beam into a uniaxial crystal. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  Pochi Yeh,et al.  Electromagnetic propagation in birefringent layered media , 1979 .

[22]  Site Zhang,et al.  Rigorous modeling of laser light propagation through uniaxial and biaxial crystals , 2015, Photonics West - Lasers and Applications in Science and Engineering.

[23]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

[24]  L. Perez.  Nonspecular transverse effects of polarized and unpolarized symmetric beams in isotropic-uniaxial interfaces. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  S. Teitler,et al.  4 × 4 Matrix formalisms for optics in stratified anisotropic media , 1984 .

[26]  Claudio Palma,et al.  Optical propagation in uniaxial crystals orthogonal to the optical axis: paraxial theory and beyond. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.