POLARIZATION, SCATTERING AND ABSORPTION OF LIGHT & APPLICATION Maharajgunj Medical Campus BIKASH SAPKOTA Bachelor of Optometry 16th Batch PRESENTATION LAYOUT Polarization of Light: Types, Methods & Application Absorption of Light: Types & Application Scattering of Light: Types & Application POLARIZATION OF LIGHT ORDINARY LIGHT Electromagnetic wave Electric field E and magnetic field B are: oPerpendicular to each other oIn phase oAlso perpendicular to the direction of propagation Electric field vector Magnetic field vector Em wave ORDINARY LIGHT Unpolarized Light oContains large no.of atoms producing waves with particular orientation of electric vector E oResultant wave: unpolarized wave: superposition of waves vibrating in all possible directions Transforming unpolarized light into polarized light Restriction of electric field vector E in a particular plane so that vibration occurs in a single plane Characteristic of transverse wave Longitudinal waves can’t be polarized; direction of their oscillation is along the direction of propagation . Polarization Plane of vibration A plane including the direction of light propagation and the direction of electric field Plane of polarization The plane perpendicular to the plane of vibration Why only electric field vector is considered in polarization and not magnetic field vector Maxwell’s Equation E=c × B 8 c is velocity of light(c=3 × 10 m/s),very large value E>>>B i.e. Em wave is predominantly an electric wave To change any characteristics of Em wave, including polarization,E should be affected TYPES OF POLARIZATION 1. Linear Polarization 2. Circular Polarization 3. Elliptical Polarization LINEAR POLARIZATION Plane polarized wave Electric field vector oscillates along a straight line in one plane Resultant wave is linear in vertical plane Superposition of plane polarized wave Two plane polarized waves are added according to the rules of vector addition Results in a linear, elliptical or circular polarized wave depending on the amplitude and the phase shift between two waves Resultant wave is linear in 450 plane Resultant wave is linear in 900 plane CIRCULAR POLARIZATION Consists of two perpendicular plane Em waves with equal amplitude and 900 phase difference Plane of oscillation rotates around the propagation axis May be right circularly polarized(clockwise) or left circularly polarized(counterclockwise) ELLIPTICAL POLARIZATION Consists of two perpendicular waves of unequal amplitude that differ in phase by 900 The tip of the resultant electric field vector describes an ellipse in any fixed plane intersecting and normal to the direction of propagation Circular and linear polarization: special cases of elliptical polarization METHODS OF ACHIEVING POLARIZATION 1. 2. 3. 4. Reflection Scattering Dichroism Birefringence POLARIZATION BY REFLECTION Unpolarized light can undergo polarization by reflection off of non metallic surfaces like snow, glass Incident angle is such that angle between reflected and refracted ray is 900 Such incident angle is k/a polarizing angle or Brewster’s angle Reflected ray is linearly polarized parallel to the reflecting surface BREWSTER’S LAW When light is incident at polarizing angle: The tangent of polarizing angle=Refractive index of material i.e, tan θ= µ For Sapphire, µ=1.77 So, θ=tan-1(1.77)=60.5350 If the angle of incidence is not exactly the Brewster’s angle the reflected ray will only be partially polarized B A A:no polarizer used B:vertical polarizer used C:horizontal polarizer used C POLARIZATION BY SCATTERING Polarization also occurs when light is scattered When light strikes the atoms of a material, electrons are set into vibration Vibrating electrons produce new Em waves radiated in all possible directions Newly generated waves strike neighbouring atoms, thereby continuing the process Absorption + re emission →scattered light Polarization by scattering occurs in atmosphere leading to blue sky According to Rayleigh’s law Amount of scattering ἀ 1/λ^4 . Light scattering off atoms is: •Unpolarized if the light keeps traveling in the same direction •Linearly polarized if it scatters in a direction perpendicular to the path it was travelling •Somewhere between linearly polarized and unpolarized if it scatters off at any other angles POLARIZATION BY BIREFRINGENCE Polarization due to double refraction A double refracting crystals like Iceland spar, calcite refracts incident light into two different paths So if an object is viewed by looking through the crystal, two images are seen Polarizing filter can be used to completely block one image Two rays are formed because they have different speeds due to two index planes in the medium Both beams thus formed are polarized: One parallel to the surface Other perpendicular to the surface O-ray:passes undeviated,ordinary wave E-wave:beam displaced sideway,extraordinary wave POLARIZATION BY DICHROISM Polarization by selective absorption Such crystals are used which transmit wave whose electric field vibrates in a particular plane and absorbs electric field vibrating in other planes Eg. Tourmaline polaroid Polaroids The most common method of polarization involves the use of polaroid Have long chain of molecules that are aligned within the filter in a particular direction When an unpolarized light falls on a polaroid: The electric vector E oscillating in the direction of the alignment of molecules of the polaroid is absorbed Electric field vector oscillating perpendicular to the direction of the alignment of molecules pass through the polaroid Transmitted light is plane polarized Dual Filter: Polarizer + Analyzer If the transmission axes of polarizer and analyzer are perpendicular, no light is transmitted The light transmitted at other angles follows the Law of Malus Polarizer and analyzer relation can be best described by picket fence analogy: Law of Malus When a beam of completely plane polarized light is incident on an analyzer, the resultant intensity of light (I) transmitted from the analyzer varies directly as the square of the cosine angle (θ) between plane of transmission of analyzer and polarizer i.e ,I ἀ cos2θ I = I0cos2θ Where, I0 is the intensity of polarized light transmitted through a polarizer Mind It!! I0 is half the intensity of unpolarized light incident on the polarizer I I₀ Intensity is maximum(I=I₀) if the transmission axes are parallel and intensity is zero if the transmission axes are perpendicular to each other . APPLICATIONS OF POLARIZATION OF LIGHT Application of polarization by reflection In polaroid sunglasses Light reflected off a pool of still water is partially polarized parallel to water surface This gives rise to glare The transmission direction of polaroid sheet in sun glasses is vertical which blocks horizontal components of light Hence reduce intensity and glare . Fishermen use polaroid sun glasses to locate fish under water Without polaroid sun glasses Polaroid sun glasses are also used to reduce head light glare of car With polaroid sun glasses In Photographic Filters Glare caused by reflected light off water surface makes it harder to see behind water surface So photographers often use filters to cut out glare and get better pictures Application of Polarization by Dichroism In Titmus Stereo Test Makes use of victograph The right eye and left eye pictures are polarized at 450 and 1350 respectively The pictures are viewed through a correspondingly oriented spectacle analysers In normal eye, a perception of depth i.e. stereo is produced when the brain fuses the two images Titmus Fly Test Application of Polarization by Scattering Photographic secret of capturing a vivid blue sky using polaroid filter Horizontal polarizer used Deep blue sky Vertical polarizer used No significant difference No polaroid filter has been used Application of Polarization by Birefringence In birefrigent biprisms Birefrigent biprisms such as nicol, glan-foucault and wollaston are used to produce polarized light Nicol prism Glan foucault prism Wollaston prism In Liquid Crystal Displays(LCD) There are some crystals that become aligned when an electric field ,are put across them When this happens they act as polarizing filters LCD In Retinal Diagnosis Polarization Sensitive Optical Coherence Tomography (PS-OCT) is used to measure the thickness and birefringence of the Retinal Nerve Fibre Layer(RNFL) Birefringence change of the RNFL can serve as an early indicator of glaucoma In Polarized Snellen Eye Chart Special polarizing glass is used: glass over OD polarized at 900 and OS polarized at 1800 Test one eye at a time though patient viewing binocularly Alternative lines of optotype are also polarized at 900 and 1800 Used to detect malingering To detect defect in Intra Ocular Lenses Birefringence is detected by placing the lens between two linear polarizers at right angles to each other Any light transmitted appears as a readily recognizable bright spot The bright spot indicates a possible defect in the strength of the lens In Polarized Light Microscopy Use of polarized light to illuminate birefrigent sample Directly transmitted light can, optionally, be blocked with a polarizer oriented at 900 to the illumination Polarized light interacts strongly with the sample and so generating contrast with the background It is used extensively in optical mineralogy Mineral concentration Other Applications of Polarization Haidinger’s Brush Yellowish bow tie shaped Entoptic phenomenon Always positioned in macula, so visible in centre of visual field Viewed while facing away from sun,bright background,eg LCD screen Due to dichroism of xanthophyll pigment of macula Used in Eccentric Fixation: utilized to train people with strabismus to look at objects with their fovea rather than their eccentric retinal zone In 3D Films Two films shown at same time through two projectors Projected through polarizing filters with axes perpendicular to each other Viewers wear glasses with 2 polaroid filters with axes perpendicular Left eye sees the movie projected from right Right eye sees movie projected from left This gives viewers a perception of depth Photoelasticity: Stress Analysis When light passes through some materials its plane of polarization is rotated i.e optical activity The thicker the material the more it is rotated and different colors are rotated by different amounts To investigate the stress in an engineering part a model is made in plastic, pass light through and put it under stress The deformed spot is located by analyzing the colored pattern produced . Stress analysis stress analyzer In Saccharimetry Measurement of concn of sugar in solution Due to molecular structure of sugar, these solution rotate the plane of polarization as light passes through them rotation may be right-handed(dextro) or lefthanded(laevo) Saccharimeter In Slit Lamp and Ophthalmoscope Control unwanted reflections eg. that from the front of cornea Red filter, blue filter, green filter etc. SCATTERING OF LIGHT Deflection of a ray from a straight path, for example by irregularities in the propagation medium, particles, or in the interface between two media It is a consequence of the interaction of light with the electric field of scattering particle It is the primary mechanism of physical observation Scattering of light occurs as follows: An incident photon induces oscillation of electron cloud of the particle which results in periodic separation of charge within the particle This separation of charge is called induced dipole moment The oscillation of this induced dipole is manifest as a source of electromagnetic radiation thereby resulting scattering of light Radiation scattered from a particle depends on: Size of the particle Shape of the particle Index of refraction of particle Wavelength of radiation Types of scattering I. Elastic Scattering II. Inelastic Scattering Elastic scattering The energy of the incident photon is conserved Light scattered by the particle is emitted at the identical frequency of the incident light Types of elastic scattering: Rayleigh Scattering Mie Scattering Nonselective Scattering Inelastic scattering The energy of the incident photon is not conserved. Inelastic scattering includes: Brillouin scattering Raman scattering Inelastic X-ray scattering Compton scattering Rayleigh Scattering It occurs as a result of radiation being scattered by a particle which is smaller than the wavelength of the incident light It is very weak scattering & depends very strongly on wavelength Scattering produced by such small particles is isotropic i.e. equal in all direction Scattering efficiency(Kλ) is inversely proportional to the fourth power of the wavelength of light(λ) i.e. Kλ α 1/ λ⁴ Nitrogen and oxygen in atmosphere are smaller than wavelength of UV and Visible light. So sunlight undergoes Rayleigh scattering in atmosphere Why is the sky blue o As sunlight moves through the atmosphere, longer wavelengths(eg.red) pass straight through o However, shorter wavelengths(eg.blue) interact with gas molecules and scatter in the atmosphere Secret of red sunset o As the sun approaches the horizon during sunsets, sunlight travels longer distance to reach our eyes o Hence, light with shorter wavelengths(eg.blue) are scattered more before reaching to our eyes and thus sunsets appear red Mie Scattering It occurs when the size of the particle becomes equivalent to or greater than the wavelength of the incident light Scattering changes from being isotropic to a distortion in forward scattering direction White glare around the sun is also due to Mie scattering Cloud droplets being larger scatter all wavelengths of visible light. So the cloud appears white Attenuation in optical fiber o Involves scattering of light: due to change in local refractive index o Also involves absorption of light: UV absorption, infrared absorption & ion resonance absorption Nonselective Scattering Occurs when the particles are much larger than the wavelength of the radiation Caused by water droplets and large dust particles Also known as geometrical scattering E.g. Rainbows Comparison Scattering Process Wavelength Dependence Particle Size (in µm) Kind of Particles Rayleigh Scattering λ^‾⁴ << 0.1 Air molecules Mie Scattering λ^˚ to λ^‾⁴ 0.1 to 10 Smoke, cloud droplets Nonselective Scattering 10 Larger dust particles, water droplets, etc λ^˚ Ocular Scattering of light When light enters the eye, it is scattered as a result of optical imperfections in the eye(like various proteins, lipid particles, lamellar bodies, etc). This scattering can be sub-divided into: a) Forward scatter: Light scattered toward the retina b) Backward scatter: Light scattered backward The scattering material interferes with vision in two ways i. Glare Effect: When a light from a source reaches the eye, a fraction of the light scattered within the ocular media falls on the retina. That light which falls in the foveal area lowers the contrast in the image of interest ii. Light Reduction Effect: When the scattering is very strong, there occurs a reduction in the light available to form the image on the retina Scattering of light occurs in various pathological conditions: Corneal haze in corneal edema o Corneal edema: caused by excess water in the stroma; disrupts the very regular close-packed collagen structure of stroma; loss in corneal transparency Corneal haze Normal cornea Age Related Nuclear Cataract Light scattering from micrometer sized particles surrounded by lipid shells: multilamellar bodies(MLBs) MLBs are the major source of forward light scattering:reduces contrast of fine details, particularly under dim light in ARNC Due to ARNC Flare In Anterior Chamber It is caused by scattering of light by the proteins in the aqueous humour Sclerotic Scatter Illumination It is an indirect illumination technique in slit lamp Light beam is focused mainly to the temporal sclera (mainly at the limbus) Total internal reflection occurs within the cornea. So the light pass through the substance of cornea and illuminate the opposite side of limbus If there is any pathology like corneal opacity, corneal scarring, etc it becomes visible as it scatters the ray of light ABSORPTION OF LIGHT It is a process by which radiant energy is taken up internally by a substance or the medium through which it passes Light energy is transformed in to internal energy of the absorber such as thermal energy Incident Types of absorption Neutral Absorption: all wavelengths are equally absorbed Selective Absorption: some wavelengths are absorbed and others are transmitted; in colored glass, dyes, etc A substance which absorbs all radiations is called a black body Black Hole The amount of absorption mainly depends on: a) the properties of the material b) the thickness of the material Absorption factor: o It is the ratio of the absorbed luminous flux to the incident luminous flux Absorption is usually expressed in optical density(OD) OD=log(1/T) Where T=Transmittance An OD of 1 represents transmittance of 10% An OD of 2 represents transmittance of 1% and so on Fluorescence It is a property by which substance absorbs light of a given wavelength and re-emits it as radiations of a longer wavelength E.g. Fluorescein Fluorescent imaging of three components in a dividing human cancer cell Fluorescein o It is a weak dibasic acid of molecular wt. of 330 o It is a yellowish-red compound which fluoresces a brilliant yellow-green under ultraviolet or blue illumination Fundus photograph in FFA Fluorescein spectrum Application of absorption of light Colors of Objects o The color of an object is determined by the wavelengths of light that the object absorbs, transmits and reflects Atmospheric Absorption of Radiations o Ozone, water vapour, carbon dioxide, oxygen, nitrogen, etc present in the atmosphere absorb the specific wavelengths emitted from the sun o Green house effect Photosynthetic absorption of light o Chlorophylls absorb particular wavelengths of light and converts into chemical energy: basis of food cycle X-Ray o X-rays are absorbed by different extends by different tissue,bone in particular, which is the basis for X-ray imaging Radiation Absorption By Ocular Tissues o Tears and cornea: Far UV ( 180-315 nm) Far IR ( 1400 nm- 1 mm) o Aqueous humor absorbs very little radiation o Lens: Near UV (315-390 nm) IR > 2500 nm UV absorption by lens increases with the increasing age o Vitreous body: UV < 290 nm IR > 1600 nm Effects: Cataract, macular degeneration Absorption of light by photoreceptors o The photochemical reactions occurred in the photoreceptors by the absorption of light forms the basis of the visual system Light Filters o Material used to absorb or transmit light of all wavelength equally i.e. neutral density filter or selectively such as the colored filters E.g. green filters, blue filters Absorptive Lenses o Absorption may be uniform or selective o Some lenses absorb mostly in the IR region of spectrum. E.g. Calobar, Ray Ban o Other absorb in UV region. E.g. Spectacle Pink, UV 400, UV 530 o Colored contact lens,tinted lens REFERENCE •Optics by A. H. Tunnacliffe •Optics and Refraction by A. K. Khurana •Clinical Optics (section 3) AAO 2011-2012 •Internet