Transmission Diffraction Grating
Not what you're looking for?
Please view the attached document for the diagram and proper formatting of this problem.
A small transmission diffraction grating has width w = 0.25 mm and is composed of 16 narrow slits whose centers are spaced by 15um. It is situated in the z = 0 plane with its lines oriented along the y-direction, where the z-axis is defined to lie along the optical axis of a thin lens of focal length f = 2.5 mm and a diameter 2w positioned at z = 2f. The grating is parallel to the lens, but off-axis, extending from x = 0 to x = w/ The grating is uniformly illuminated by a parallel beam of monochromatic light of wavelength 750 nm propagating in the positive z-direction (the beam has width w and just fills the grating). Find the angle to the normal of the first-order diffracted beam as it leaves the grating, and draw a ray diagram showing rays leaving the edges of the grating in the zeroth and first-order diffraction directions and propagating through the lens to z = 10mm.
Sketch on the large diagram the light intensity distribution in the plane at z = 7.5 mm, indicating the locations of the principal maxima and the separations of these maxima from the first adjacent minimum. Sketch on a large diagram the light intensity at the plane z = 10mm.
Explain briefly how this example gives a useful insight into the resolving power of a microscope with coherent illumination.
Purchase this Solution
Solution Summary
The angle normal to the first-order diffracted beam in a transmission diffraction grating is found. A large diagram of light intensity distribution in a plane is sketched.
Purchase this Solution
Free BrainMass Quizzes
Basic Physics
This quiz will test your knowledge about basic Physics.
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.
The Moon
Test your knowledge of moon phases and movement.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.