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Diffraction Compendium

Single slit diffraction
eqnarray11

1.
Diffraction Minima: tex2html_wrap_inline72, i.e., tex2html_wrap_inline62, where tex2html_wrap_inline64
2.
Diffraction Maxima: tex2html_wrap_inline66, i.e., tex2html_wrap_inline80

Double slit diffraction
eqnarray23

1.
Two-slit diffraction maxima: tex2html_wrap_inline82, i.e., tex2html_wrap_inline70,
where tex2html_wrap_inline72
2.
Two-slit diffraction minima: tex2html_wrap_inline88, i.e., tex2html_wrap_inline74,
where tex2html_wrap_inline72
3.
Modulated by the single slit interference above.

N-slit diffraction
eqnarray39

1.
N-slit diffraction maxima: tex2html_wrap_inline82, i.e., tex2html_wrap_inline70,
where tex2html_wrap_inline72
2.
N-slit diffraction minima: tex2html_wrap_inline100, i.e., tex2html_wrap_inline82,
where tex2html_wrap_inline104
3.
Modulated by the single slit interference above.

tex2html_wrap_inline86 the angle between the normal and point P.
tex2html_wrap_inline88 the wavelength of the incident light.
a the width of a single slit.
d the separation between the center of two adjacent slits.
tex2html_wrap_inline94 tex2html_wrap_inline96
tex2html_wrap_inline98 tex2html_wrap_inline100
tex2html_wrap_inline102 the maximum intensity, tex2html_wrap_inline104.
tex2html_wrap_inline106 the maximum intensity which would be produced by a single slit.
N the number of slits.

A missing order, or half-fringe, occurs when an N-slit maxima coincides with a minimum of the single single modulation.



Gregory W. Anderson
Tue Feb 16 17:17:29 CST 1999