OPTI 201R, Fall 2005
Problem Set XII
Due November 16, 2005
XII.1 Calculate the LaGrange invariant for a photographic objective F/2.8, e.f.l. = 100 mm, and a full field of view of 5 degrees. XII.2 What is the Lagrange invariant for a 50 mm diameter, F/2.5

OPTI 201R, Fall 2005 IV.1
Problem Set IV
Due September 19, 2005
IV.2
A rod of glass (S-YGH51) has a radius of 5 cm on its end. A 1.5 mm object height is located in air 8 cm in front of the rod on the axis of the rod. a) How far from the surface is the ima

OPTI 201R, Fall 2005
Problem Set XV
Due December 7, 2005
XV.1 An object has a source luminance of 10 lumen/M2-Sr and is 200cm from a lens (100 mm, F/1) with a 50 mm astop 10mm behind the lens. The field of view is 3. a) b) Calculate the lumens collected b

OPTI 201R, Fall 2005
Problem Set XIV
Due November 30, 2005
XIV.1 The rays traced below are pseudo-marginal and pseudo-chief rays for a particular system (i.e. the actual marginal and chief rays can be obtained by scaling them appropriately): a) What are t

I.1
I.2 For non-magnetic media, the index of refraction can be defined in terms of the dielectric constant: For K=9,
n2 = K
n2 = K n = K = 9 =3
I.3 Velocity of light in a given medium:
c medium =
a. water; n=1.333:
c n
c water =
b. glass; n=1.5:
3x108 m 1

5.1) Note that there are no units given, but the answer CANNOT be unitless. Look at the equation and see what sort of dimensions the answer should have: (length)-1. I chose to work w/ mm. Any length unit is ok. Using unit is ok.
= (1.5 1) = (n g n ) R R2

OPTI 201 R, Fall 2005 IX.1
a) FOV in horizontal direction: y chief u chief FOV 36.5 2 = 0.181 radians 180 2 . u chief . f
Problem Set IX
100
u chief
atan
y chief 100
FOV = 20.685
in degrees
b) FOV in vertical direction: y chief u chief FOV 24.5 2 = 0.122

OPTI 201 R Fall 2005 Problem Set XIII Solutions XIII. 1-5 See Ray Trace Below Parallel Ray Entering, nu = 0 to begin R t n - t/n y nu 3 0 0
nu
1 0
10 3 1.5 -0.05 2 3 -0.15
-10 2 1 -0.05 2 2.7 -0.285 -0.1600 -0.0800
-30 1 1.75 0.025
30 ? 1 0.025 0.5714 ?

OPTI 201 R Fall 2005
Problem Set XIV Solutions
By
XIV.1 First, find which image, y, occupies the greater portion of its respective pupil. inspection, it will be either the first, third, or last one.
3 1 = 0.375 8 1.260 = 0.14 3 9 0.4508 = 0.0644 6 7
The f

OPTI 201R, Fall 2005
Problem Set X
1
X .1 For a concave mirror, radius of - 20 cm, with a diameter of 4 cm : HaL Find the power in diopters if used in air. n' - n -1 - 1 f = = = 10 D R - .2
HbL What is the HF #L in air? 1 f f* feff = = - = f n n' 1f 1 fef

1.
The following three thin lenses have an index of 1.5. 1) R1 = 10 cm, R2 = 2) R1 = 20 cm, R2 = -20 cm 3) R1 = 5 cm, R2 = 10 cm Calculate the following: a) Power for each lens (in diopters) b) Sketch each lens layout and give each an appropriate name. c)

OPTI 201R, Fall 2005 IX.1
Problem Set IX
Due October 24, 2005
For a 35 mm slide (standard size format - 24.5 x 36.5 mm), at the focal plane of a thin lens with a 100 mm efl. What is the: a) Field of view (FOV) in horizontal direction? b) FOV in vertical d

OPTI 201R, Fall 2005 II.1
Problem Set II
Due September 7, 2005
You are observing a fish in the lake. You observe that the fish appears to be 2.5 m below the surface. How far is the fish actually under the surface? A glass plate is used to provide a lens w

OPTI 201R, Fall 2005 X.1
Problem Set X
Due October 31, 2005
X.2
For a concave mirror, radius of -20 cm, with a diameter of 4 cm: a) Find the power in diopters if used in air. b) What is the (F/#) in air? c) Make a sketch showing the cardinal points. d) Wh

OPTI 201R, Fall 2005
Problem Set VIII
Due October 17, 2005
VIII.1 Prove that the shift in the front principal plane is: t 2 = n n
VIII.2 Determine the Gaussian properties of the eye using the values shown below (i.e., locate and label the cardinal points