Abstract

Response function of the polarizing microscope is given, whose amplitude of the diffraction image is

A(r,θ)=sin2θ·J3(2πar/λl)/(2πar/λl),

where r, θ are the polar coordinates in the image plane. Calculation was made using the fact that the autocorrelation function of the pupil function is the response function. Comparison of the result with the experiment (photograph of the Siemens’ star) is made, showing a good agreement.

The diffraction image of the polarizing microscope is also studied when a z-cut uniaxial crystal is inserted and the aperture is so large that the first and the second interference fringes in the conoscopic image are in view. Results are also compared with the photograph of the diffraction image. These two problems were left unsolved in the author’s former paper [ J. Opt. Soc. Am. 49, 191 ( 1959)].

© 1960 Optical Society of America

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Equations (27)

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