Purchase Solution

Fabry-Perot Etalon: Radius of a bright ring.

Not what you're looking for?

Ask Custom Question

A source of visible light is placed before an air-spaced Fabry-Perot etalon od diameter 20mm and mirror separation d = 1mm. The light transmitted by the etalon passes through a convex lens of focal length f and is incident on a screen positioned in the focal plane of the lens.

For an extended monochromatic source of wavelength λ = 500nm, a set of ring-shaped fringes is produced on the screen, with a maximum of density at the centre of the pattern. Show that, in the small angle approximation, the radius r of the smallest bright ring is given by

r = f*sqrt(λ/d)

where sqrt means square-root.

Could you please show me how to do this derivation? Thanks.

Purchase this Solution
Solution Summary

The radius of a bright ring formed due to intereference of light by a Fabry-Perot etaton is calculated.

Solution Preview

Please see the attached.

A source of visible light is placed before an air-spaced Fabry-Perot etalon od diameter 20mm and mirror separation d = 1mm. The light transmitted by the etalon passes through a convex lens of focal length f and is incident on a screen positioned in the focal plane of the lens.
For an extended monochromatic source of wavelength λ = 500nm, a set of ring-shaped fringes is produced on the screen, ...

Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

The Moon

Test your knowledge of moon phases and movement.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

View More Free Quizzes
Related BrainMass Solutions

  • resolving power of Fabry-Perot etalon plates

    181153 resolving power of Fabry-Perot etalon plates Could you please do the problem attached? Thank you. A Fabry-Perot etalon is used to resolve two spectral lines of equal intensity, and wavelengths of 670.776 nm and 670.791nm.

  • Fabry-Perot interferometer

    The solution calculates the parameters of a Fabry-Perot interferometer.

  • Interferometry Fabry-Perot

    80540 Interferometry Fabry-Perot 3) A Fabry-Perot interferometer with fixed plate spacing t = 1.50mm is used to examine filtered light from a helium lamp, with wavelength lambda = 587.56nm. The plates have reflectance R = 0.950.

  • transparent dielectric.



    A side note: This filter is sometimes called a Fabry-Perot etalon and used in spectral analysis of a light source.

    Please refer to the attached file for the diagram which will clearly show you the structure.

  • Newton's ring

    In a Newton's ring experiment, the diameter of the nth bright ring is given by the formula, Dn = 2 * sqrt[ ( n + 1/2) * lambda * R/ mu] where n is the number of the fringe, lambda is the wavelength of light used, R is the radius of curvature of

  • Working with interference patterns

    250248 Find the diameter of the second bright ring in the interference pattern. The radius of curvature of the convex surface of a planoconvex lens is 95.2cm.

  • Physics

    A piece of curved glass has a radius of curvature of r = 10.0 m and is used to form Newton's ring.

  • Ring systems of Jupiter and Saturn

    Jupiter's ring system has also been discovered to be made up of 3 main segments; an inner torus of particles known as the halo, a relatively bright main ring, and an outer gossamer ring.

  • Area Between Two Concentric Circles

    Then outer radius of the ring = r + t Inner radius of the ring = r Area of the ring = Area of the out circle - Area of the inner circle = (r + t)2 - r2 = (r + t)2 - r2] = (r2 + t2 + 2rt - r2] = t2 + 2rt) But given that area of the

View More Related Solutions