Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Irradiance Distribution in a Lloyd Mirror Interference Pattern

Not Accessible

Your library or personal account may give you access

Abstract

The Lloyd mirror interference pattern reappears and disappears in a periodic manner at distances from the mirror edge greater than the distance to the initial point of disappearance. In certain cases bright lines appear where, according to the textbook theory, which assumes spectrally homogeneous radiation and a slit source of infinitesimal width, dark lines should appear. A photograph of such a pattern is shown, measured values of the relative irradiance as a function of distance from the mirror edge are presented, and a theoretical determination which accounts for certain features of this variation of irradiance with distance is outlined.

If we let IR=relative irradiance at a distance P from edge of mirror, θ=angular tilt of mirror, α=angular subtense of slit, ν0=wave number of radiation, ν1=width of wave band, and ω=2πν0, then

IR=2ωα(ν1/ν0)-(1/P)Si[Pω(1+12(ν1/ν0)(2θ+α)]+(1/P)Si[Pω(1-12(ν1/ν0)(2θ+α)]+(1/P)Si[Pω(1+12(ν1/ν0)(2θ-α)]-(1/P)Si[Pω(1-12(ν1/ν0)(2θ-α)].

If spectrally homogeneous radiation is assumed, then IR1=0.50−0.50 cos4πPθν0(sin2πPν0α/2πPν0α).

© 1948 Optical Society of America

Full Article  |  PDF Article
More Like This
Reflection and Transmission Interference FiltersPart II. Experimental, Comparison with Theory, Results

L. N. Hadley and D. M. Dennison
J. Opt. Soc. Am. 38(6) 483-496 (1948)

Syntheses of Spectral-Distribution Curves

W. L. Brewer and F. R. Holly
J. Opt. Soc. Am. 38(10) 858-874 (1948)

Formation of Optical Images by X-Rays

Paul Kirkpatrick and A. V. Baez
J. Opt. Soc. Am. 38(9) 766-774 (1948)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (42)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved