Page 164 - Fundamentals of Light Microscopy and Electronic Imaging
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PRINCIPLES OF ACTION OF RETARDATION PLATES      147

                       siderably less than the one wavelength retardation required to generate an interference
                       color. Thus, biological specimens such as living cells are frequently examined with the
                       green line of a mercury arc lamp with a  /4 plate designated for this wavelength. The
                       use of monochromatic green light increases image contrast, allows more precise meas-
                       urements of retardation, and helps protect living cells.
                          If a birefringent specimen is positioned diagonally between two crossed polars,
                       the combined action of the specimen plus the λ/4 plate generates linearly polarized
                       waves whose E vectors are tilted at some azimuth   depending on the amount of retar-
                       dation at the specimen. This action occurs because the  λ/4 plate produces linearly
                       polarized light from incident, elliptically polarized waves. A rotation of the analyzer
                       through 180° is equivalent to a relative retardation by the specimen of one wavelength.
                       With every 90° of rotation of the analyzer, a birefringent object such as a fiber looks
                       alternately dark or bright. Since retardations of most cells and organelles are usually
                       less than 1 , and because the compensation method is so sensitive, Sénarmont com-
                       pensation is commonly used to analyze cellular specimens. Compensation with a  /4
                       plate allows for measurement of relative retardations of up to 1  with an accuracy of
                        0.15 nm.
                          To measure  , the  /4 plate is inserted into the optical path between two crossed
                       polars as described. An elongated birefringent object (e.g., a muscle fiber containing
                       aligned myofibrils) is first oriented at a 45° angle with respect to the transmission axes
                       of the crossed polars with the rotating stage of the microscope. At this orientation, the
                       fiber generates elliptically polarized light, which is converted into linearly polarized
                       light by the  /4 plate. These waves are partially transmitted by the compensator, caus-
                       ing the fiber to look bright against a maximally dark background. The analyzer is then
                       rotated from its crossed position through an angle   until the fiber’s intensity appears
                       maximally dark (extinction) against a gray background. Notice that as the analyzer is
                       rotated to obtain extinction of the specimen, the background is brightening. Since the
                       angle of rotation of the analyzer   at extinction is equal to one-half of the full phase shift
                       between the O and E rays, the relative retardation   is given as

                                                       obj    2 .

                         can be used to calculate the values of the refractive index ellipsoid or the thickness of
                       the object if one of these two parameters is known, since     t (n 	 n ).
                                                                               o
                                                                           e
                       Brace-Koehler Compensator

                       For measuring very small phase retardations that occur in fine ultrastructural features
                       such as mitotic spindles, cleavage furrows, and stress fibers in living cells, a Brace-
                       Koehler compensator can be employed. This rotating compensator usually contains a
                       thin birefringent plate made of mica, whose optic axis is contained within the plane of
                       the plate. The compensator is used with monochromatic illumination—generally the
                       546 nm green line of the mercury arc lamp—and is capable of measuring retardations
                       up to the limit of the compensator (a fixed value, but ranging from  /10 to  /30 depend-
                       ing on the particular compensator) with an accuracy of  0.3 nm. These features make
                       the Brace-Koehler compensator a highly sensitive measuring device.
                          In this method of compensation the analyzer and polarizer remain fixed in position,
                       because the compensator itself is rotatable. The slow axis of the plate (marked   on the
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