PHYS 434: Assignment 6 solutions
Problem 6.1: Use
1 1 (1 x 2 )1 / 2 1 x 2 x 4 2 8 With the extra term, Equation 6.7 becomes 1 h 2 1 h 4 h 2 h 4 h 2 = r r 1 r r1 = + 3 r 2 r 8 r 2r 8r
Problem 6.5: Repeat Example 6.2 for a rectangular aperture of width a =
Optics for a new Home-built Microscope
The Leslie biophysics lab is building a custom fluorescence microscopy
station. We are looking for a summer student (e.g. 479/thesis or 396
course) to set up the supporting optics for our home-built microscope
and te
Phys 434 - Optics - Midterm solutions
1. To solve this question all you need to do is draw the ray diagrams or use the thin lens equation. This gives the
following answers:
(a) On the other side of the lens, farther from the focus.
(b) Inverted
(c) Larger
Phys 434 - Optics - Midterm
(Dated: February 14, 2013, 8:35-9:55. Calculators are allowed)
Answer the following four questions.
1. Suppose an object of height h is placed on the optical axis of a positive lens, behind the
focal point but close to it (i.e.
Lectures 6+7 - Aberrations - cont.
Tami Pereg-Barnea
Department of Physics, McGill University, Montreal, QC, Canada
(Dated: January 24 and January 29, 2013)
After dening the wave front aberration function, W (r, , ) and its relation to the image distortio
Lecture 5 - Aberrations
Tami Pereg-Barnea
Department of Physics, McGill University, Montreal, QC, Canada
(Dated: January 22, 2013)
The lecture notes are based on chapter 5 in Optics - principles and applications by K. K. Sharma. The relevant
chapter will
Lecture 2 - Reection and Refraction
Tami Pereg-Barnea
Department of Physics, McGill University, Montreal, QC, Canada
(Dated: January 10, 2013)
We covered more or less chapter two of the text - these notes will be brief as the text does a good job
I.
HUYGE
Lectures 3,4 - spherical mirrors and lenses (chapter 3)
Tami Pereg-Barnea
Department of Physics, McGill University, Montreal, QC, Canada
(Dated: January 15 and 17, 2013)
Before we start dealing with curved surfaces let me note that we have already derived
Physics 434 - Optics - Winter 2013 - Course outline
T. Pereg-Barnea
Department of Physics, McGill University, Montreal, QC, Canada
I hope to cover the following topics which are in chapters 1-7,10-14,17,20 of the text.
Speed of light and Doppler shift
G
X-ray focusing telescope and imaging astronomical objects
Hongjun An
22-Feb-13
McGill
1
What is X-ray?
High Frequency (short wavelength) electromagnetic wave
Photons with energy ~ keV
1240
E (eV )
(nm)
22-Feb-13
( Hz)
McGill
c
2
Astrophysical objects
Summer Thesis Project (or 396 Course)
A Custom Single-Molecule Microscope
Optics Design and Simulation for a New System
Optics Construction and Alignment
Fluorescence Microscopy Experiments
Email: sabrina.leslie@mcgill.ca
http:/www.physics.mcgill.ca/lesli
Phys 434 - Optics - Quiz 2 - solutions
(Dated: March 28, 2013)
1. The reason why I N contains the sinc2 factor is because the N slits function:
= 0N 1 (x na) (na + d x)
f ( x) =
(1)
n
Is a convolution of two functions, that of a single slit (x) (d x) and
Midterm practice questions
T. Pereg-Barnea
(Dated: February 7, 2013)
1. If a parallel beam of width W is incident on a prism. Find an equation that gives the width of the beam exiting
the prism in terms of the incident angle and the head angle .
2. The gu
Phys 434 - Optics - Quiz 2 - Diraction and Fourier optics
(Dated: March 28, 2013)
The intensity of the light diracted from a single slit of length d is:
I () = I (0)sinc2
2
= kx d = k sin()d =
2
sin()d
(1)
and that of a grating made of N slits of width d
Phys 434 - Optics - Quiz 1 - Fabry-Perot interferometer
(Dated: February 28, 2013)
We have seen in class that the transmitted light intensity as a function of incident angle
is:
1
I () =
1+
4R sin2 ( 2 )
(1R)2
where
=
4nd cos()
(1)
Here R = r2 , r is the
Phys 434 - Optics - Quiz 1 - solutions
1. The values of for which the intensity is maximal are obtained for sin2 (/2) = 0. This
means that m /2 = m and therefore m = 2m. The intensity for these angles is 1.
2. We know that
=
4nd cos()
and therefore
( ) =
Phys 434 - Optics - assignment 5
(Dated: Due March 28, 2013)
1. Fraunhofer diraction - assume that a light source is placed far behind an obstruction screen. The obstruction
screen is opaque everywhere except for a ring whose inner radius is r1 and outer
Phys 434 - Optics - Assignment 6
Due April 9, 2013
1. QWP - Recall the properties of a quarter wave plate and answer the following:
(a) If the incoming beam is left circularly polarized, what is the polarization of the outgoing beam?
(b) If we pass an unp