Diffraction Phenomena produced by an Aperture 

 on a Curved Surface. 



By 



H. Nagaoka. 



In ordinnry prohlems on diffraction of liglit produced liy nper- 

 tnres of varions shapes, the diffracting- apertures are snp]:)Osed to lie on 

 a plane. The rm^re _£i'eneral prol:)Jeni of diffi-action prodiKXMl 1)y aper- 

 tures on a known _o-eonietrical surface lias noi, so fir, beeri touched. 

 It has been my object to fill in this gap, althc^ugh the expression for 

 the intensity of diffracted liglit is integrable oidy in a few ]X!rticuI:u' 

 cases. 



In the following, I give a general expression ibr the intensitv of 

 light diffracted by nn aperture on a known surficc, ])otli inr Frauu- 

 lioi'cr's and Fresnel's diffi'action ])lienonu'iia. 'i'he expression is tlieii 

 a])})lied to find tlie (b'stribution of light after its ])assage tliroiigh a 

 small slit cut ]X'r])endi*Md;ir to the generating line of a right circiifir 

 cylinder. 



Expression for the Intensity of the Diffracted Light. '• 



Let L be a source of light, and A B an apertinx* on a known 

 geometrical surfice. Llie ray of liglit pro])agnted irt^ii L i- dilfracteil 

 by the aperture A B, and the diffraction plicnonK'na thu- ])i-oduced 

 may be seen either projected on a screen at 1) (^Fig". 2 ), (^r o1)ser\('(l by 



* Tn the deduction of the expression for the intensity, T follow F. Xeuniann's method. 



