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MicroscopyPioneers


Figure 1.


obvious that the refractive index of an unknown specimen can be determined by the Brewster angle. Tis feature is particularly useful in the case of opaque materials that have high absorption coefficients for transmitted light, rendering the usual Snell’s law formula inapplicable. Determining the amount of polarization through reflection techniques also eases the search for the polarizing axis of a sheet of polarizing film that is not marked.


Te principle behind Brewster’s angle is illustrated Fig-


ure 1 for a single ray of light reflecting from the flat surface of a transparent medium having a higher refractive index than air. Te incident ray is drawn with only two electric vector vibration planes but is intended to represent light having vibrations in all planes perpendicular to the direction of propagation. When the beam arrives on the surface at a critical angle (Brewster’s angle, represented by the variable θ in Fig- ure 1), the polarization degree of the reflected beam is 100 percent, with the orientation of the electric vectors lying perpendicular to the plane of incidence and parallel to the


reflected surface. Te incidence plane is defined by the incident, refracted, and reflected waves. Te refracted ray is oriented at a 90-degree angle from the reflected ray and is only partially polarized. For water (refractive index of 1.333), glass (refractive


index of 1.515), and diamond (refractive index of 2.417), the critical (Brewster) angles are 53, 57, and 67.5 degrees, respectively. Light reflected from a highway surface at the Brewster angle oſten produces annoying and distracting glare, which can be demonstrated quite easily by viewing the distant part of a highway or the surface of a swimming pool on a hot, sunny day. Modern lasers commonly take advantage of Brewster’s angle to produce linearly polarized light from reflections at the mirrored surfaces positioned near the ends of the laser cavity.


Interactive Java Tutorial http://micro.magnet.fsu.edu/primer/java/polarizedlight/


brewster/index.html Brewster’s Angle Demo. A common source of polarized


light is that reflected from a dielectric medium such as a window pane, sheet of paper, or a highway on a sunny day. Tis tutorial demonstrates the polarization effect on light reflected at a specific angle (the Brewster angle) from a transparent medium. Adjustable parameters include the incident beam wavelength, refractive index of the dielectric medium, and the rotation angle from which the tutorial is viewed by the visitor.


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