Numerical Investigation of Birefringene Effect on the Light Reflection

Journal of Optoelectronical Nanostructures

مقاله 6، دوره 1، شماره 3، آذر و دی 2016، صفحه 51-66   

نوع مقاله: Articles

نویسندگان

Masoud Rezvani Jalal^{* 1}؛ Farzad Vaziri Alamdarlo²

¹Department of Physics, Malayer University, Malayer, Iran.

²Department of Physics, Malayer University, Malayer, Iran

تاریخ دریافت: 20 شهریور 1395،  تاریخ بازنگری: 24 مهر 1395،  تاریخ پذیرش: 30 آبان 1395 

چکیده

In the present paper, the problem of light reflection from a birefringent medium and thin film is considered. First, the analytical equations governing the propagation of a plane and harmonic electromagnetic wave in an infinite, birefringent, linear, non-dispersive, non-absorbing, and non-magnetic medium is derived from Maxwell equations. Then, using phase matching condition and boundary conditions, the governing equations of reflection and transmission from a birefringent medium is obtained. Next, the reflection of s and p polarizations in incidence of s-polarized, p-polarized, and circularly polarized light on a plane surface is calculated using a massive computer code developed by the authors. Calculations show that the polarizations are mixed and converted to each other. On the other hand, dependence of reflection on azimuthal incidence angle is revealed. Then, the problem of interfering reflection from a birefringent thin film is regarded. The computer code calculates reflection of light from the film by considering the successive reflections and transmissions from the upper and lower surfaces of the film through two-reflection approach. Calculations show that, in reflection of white light from the film, a kind of banding is developed which is absent in isotropic films. Observation of reflection increase by increasing birefringent properties is another finding of the paper.

کلیدواژه‌ها

Birefringent medium؛ Birefringent thin film؛ Reflection

مراجع

 

[1]    Eugene Hecht, Optics, 4th Edition, Addison Wesley, 2002.

[2]    I. Abdulhalim, Polarization independent birefringent Fabry-Perot etalon having polarization conversion mirrors, Optics Communications, 282 (2009) 3052-3054.

[3]    Q. Zou, An optical filter based on intracavity birefringent phase plate, Optics Communications, 188 (201) 261-266.

[4]    M. Tazawa et al, A memory application of light reflection from anisotropic microstructured thin films, Thin Solid Films, 455-456 (2004) 824-827.

[5]    I. Abdulhalim, Omnidirectional reflection from anisotropic periodic dielectric stack, Optics Communications, 174 (2000) 43-50.

[6]    K. W. Sun et al, Nanostructured thin films for anti-reflection applications, Thin Solid Films, 519 (2011) 5194-5198.

[7]    Yi-Jun Jen et al, Enhanced polarization conversion for an anisotropic thin film, Optics Communications, 265 (2006) 446-453.

[8]    J. Lekner, Reflection and refraction by uniaxial crystals, J. Phys.: Condens. Matter, 3 (1991) 6121-6133.

[9]    P. M. Jacquart, Reflection and transmission of an electromagnetic wave in a strongly anisotropic medium: application to polarizers and antireflection layers on a conductive plane, Optics Communications, 108 (1994) 355-366.

[10]            Z. Zhang et al, Reflection and refraction by interfaces of uniaxial crystals, Optics & Laser Technology, Vol. 28, No. I, pp. 549-553, 1996.

[11]            M. C. Simon, Waves and rays in uniaxial birefringent crystals, Optik, 118 (2007) 457-470.

[12]            M. Sluijter et al, General polarized ray-tracing method for inhomogeneous uniaxially anisotropic media, J. Opt. Soc. Am. A, Vol. 25, No. 6 (2008) 1260-1273.

[13]            H. Rabal, Refraction holodiagrams between two birefringent materials, Optik, 121 (2010) 2057-2061.

[14]            Chong-Min CHANG et al, Simple Formulas for CalculatingWave Propagation and Splitting in Anisotropic Media, Jpn. J. Appl. Phys., Vol. 40 (2001) 6391-6395.

[15]            Liangbin Hu et al, Characteristics of electromagnetic wave propagationin uniaxially anisotropic left-handed materials, PHYSICAL REVIEW B 66, 085108 (2002).

[16]            SHU Wei-Xing et al, Anomalous Propagation of Electromagnetic Waves in Anisotropic Media with a Unique Dispersion Relation, Chin. Phys. Lett., 23 (11) (2006) 3084-3087.

[17]            Jinyoung Lee et al, General Solution of EM Wave Propagation in Anisotropic Media, Journal of the Korean Physical Society, Vol. 57, No. 1 (2010) 55-60.

[18]            M. C. Simon et al, Brewster angle in dielectric birefringent media: an explanation by means of dipolar model, Optics Communications, 126 (1996) 113-122.

[19]            Yi-Jun Jen, Total reflection of waves propagating from a rare isotropic medium to a dense anisotropic medium, Optics Communications, 233 (2004) 271-275.

[20]            M. C. Simon et al, Total reflection in a uniaxial crystal–uniaxial crystal interface, Optik, 116 (2005) 586-594.

[21]            Zhengbin Wang, Explicit expression of the pseudo-Brewster angle for anisotropic metamaterials, Optics Communications, 284 (2011) 2678-2682.

[22]            Lu Yonghua et al, Negative refraction at the interface of uniaxial anisotropic media, Optics Communications, 246 (2005) 429-435.

[23]            Hailu Luo et al, Amphoteric refraction at the interface between isotropic and anisotropic media, Optics Communications, 254 (2005) 353-360.

[24]            Consuelo Bellver-Cebreros, Amphoteric refraction at the isotropic-anisotropic biaxial media interface: an alternative treatment, J. Opt. A: Pure Appl. Opt., 8 (2006) 1067-1073.

[25]            Valery Tsoy et al, Simulation of light propagation through birefringent substrates with periodical surface microrelief, Optics Communications, 246 (2005) 57-66.

[26]            Joseph B. Geddes III et al, Numerical investigation of reflection, refraction, and diffraction of pulsed optical beams by chiral sculptured thin films, Optics Communications, 252 (2005) 307-320.

[27]            Gábor Mihajlik et al, Novel accurate computer algorithm for modeling light propagation and diffraction in inhomogeneous, anisotropic medium-Applied to the acousto-optic interaction, Optics Communications, 282 (2009) 1961-1968.

[28]            Gábor Mihajlik et al, Simulation of light propagation in anisotropic, optically active and slightly inhomogeneous medium, concerning the acousto-optic interaction, Optics Communications, 285 (2012) 2255-2265.

[29]            I. J. Hodgkinson et al, Eigenequations and Compact Algorithms for Bulk and Layered Anisotropic Optical Media: Reflection and Refraction at a Crystal-Crystal Interface, JOURNAL OF COMPUTATIONAL PHYSICS, 133, (1997) 75-83.

[30]            Hanming Guo et al, Propagation of an arbitrary incident light in a uniaxially planar slab, Optics Communications, 284 (2011) 5509-5512.

[31]            M. C. Simon, Symmetries and asymmetries of the refracted and reflected rays in a uniaxial plane parallel plate, Optik, 123 (2012) 73-84.

[32]            I. Abdulhalim, 2×2 Matrix summation method for multiple reflections and transmissions in a biaxial slab between two anisotropic media, Optics Communications, 163 (1999) 9-14.

[33]            Knead Jovanovic et al, A 2×2 Matrix Algebra for ElectromagneticWave Propagation in Stratified Biaxial Media, Int. J. Electron. Commun., 55 No. 2, (2000) 123−126.

[34]            Peep Adamson, Reflection of light from nanoscopically stratified anisotropic media and optical probing of dielectric nanofilms, Thin Solid Films, 515 (2007) 3730-3735.

[35]            Peep Adamson, Laser probing of anisotropic ultrathin dielectric films on absorbing materials via differential reflection characteristics, Optics & Laser Technology, 41 (2009) 424-430.

[36]            Peep Adamson, Reflection characterization of anisotropic ultrathin dielectric films on absorbing isotropic substrates, Surface Science, 603 (2009) 3227-3233.

[37]            J. W. Graham, REFLECTION AND TRANSMISSION FROM BIAXIALLY ANISOTROPIC-ISOTROPIC INTERFACES, Progress In Electromagnetics Research, Vol. 136, 681-702, 2013.

[38]            A. Yariv, Optical Waves in Crystals, John Wiley and Sons, (1984).

[39]            F. Vaziri Alamdarlo, M. Rezvani Jalal, Numerical Investigation of Light Propagation, Reflection and Refraction in a Birefringent Medium, 20 th optics and photonics conference of Iran, Shiraz (1392).

[40]            M. Rezvani Jalal, F. Vaziri Alamdarlo, Numerical ellipsometry of birefringent thin films, Physics Institute of Iran conference 1392, Birjand (1392).