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which corresponds to the border between the
Fresnel and Fraunhofer regions and denotes the distance at which the beam radiated by a
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is fully formed (although sometimes the
Rayleigh distance it is still given as per the optical convention e.g.).
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light energy no longer changes according to the distance Z from the aperture. It is the reduced
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352:{\displaystyle \left(Z+{\frac {\lambda }{4}}\right)^{2}=Z^{2}+\left({\frac {D}{2}}\right)^{2}}
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applications, the
Rayleigh distance is often given as four times this value, i.e.
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The
Rayleigh distance is also the distance beyond which the distribution of the
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178:, in which Z is the Rayleigh distance, D is the aperture of radiation, λ the
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and an edge ray is λ / 4. An approximation of the
Rayleigh Distance is
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415:{\displaystyle Z={\frac {D^{2}}{2\lambda }}-{\frac {\lambda }{8}}}
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to a point at which the path difference between the axial
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46:. Unsourced material may be challenged and removed.
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524:'s paper on the subject was published in 1891.
496:{\displaystyle Z={\frac {2D^{2}}{\lambda }}}
171:{\displaystyle Z={\frac {D^{2}}{2\lambda }}}
106:Learn how and when to remove this message
255:{\displaystyle Z+{\frac {\lambda }{4}}}
125:is the axial distance from a radiating
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444:{\displaystyle {\frac {\lambda }{8}}}
44:adding citations to reliable sources
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31:needs additional citations for
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222:{\displaystyle {\frac {D}{2}}}
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538:Antennas for all applications
362:Rearranging, and simplifying
540:. McGraw Hill. p. 832.
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575:On Pinhole Photography
516:Fraunhofer diffraction
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40:improve this article
264:Pythagorean theorem
55:"Rayleigh distance"
593:Optical quantities
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536:Kraus, J (2002).
505:reflector antenna
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195:{\displaystyle Z}
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562:"Radar Tutorial"
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29:This article
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38:Please help
33:verification
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96:August 2017
512:diffracted
180:wavelength
66:newspapers
489:λ
434:λ
405:λ
400:−
394:λ
290:λ
245:λ
163:λ
587:Category
127:aperture
456:antenna
80:scholar
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123:optics
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87:JSTOR
73:books
542:ISBN
59:news
454:In
131:ray
121:in
42:by
589::
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550:.
483:2
479:D
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469:=
466:Z
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408:8
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381:D
375:=
372:Z
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332:D
327:(
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313:Z
309:=
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278:(
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237:Z
215:2
212:D
190:Z
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150:D
144:=
141:Z
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103:(
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94:(
84:·
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36:.
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