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(ELEC308)[2010](s)midterm~yzhaoab^_67235.pdf
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1
(i)
(a)(1) The wave-particle duality of light is that light exhibits both wave and particle properties. (b)(1)Thomas Youngs double-slit interference shows the wave properties, while Albert Einsteins photoelectric effect experiment shows the particle properties.

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(ii)(2)

(iii)
(a)(2)
Therefore, the resulting image is 0.26m behind the second lens.
(b)graphical ray tracing(1)
(iv)
(a) (1)The spherical aberration is result from spherical geometry, so that rays making significantly large angles with respect to the optic axis are brought to different foci (Break the paraxial approximation).

(b) (1)



(Clear in the middle, blur at the edge)
(v)
(a) (1)

The structure of the eye is shown above. It mainly consists of cornea, pupil, iris lens and retina. The cornea accounts for most of the eye power, the pupil is the opening in iris, working as the diaphragm, the lens accommodate the total optical power with help of the ciliary muscle, and the retina works as sensors.
(b)(1)
Negative lens to correct myopia.
Positive lens to correct hyperopia.
(c)(1)

In order to achieve both the largest magnification and clear image.
(vi)
(a)(2)

(b)(2)


2 .
(i) Select Borosilicate crown BK7 as the glass material, the refractive index read out from the figure is 1.52 for fraunhofer D-line.
According to the lens makers formula:

Let d = 2 mm, R2 = infinite
For L1, f=100mm, So, 1/100 = (1.52-1)(1/R1-0+0)->R1=52mm;
For L2, f=-135mm, So, 1/100 = (1.52-1)(1/R1-0+0)->R1=-70.2mm;
For L3, f=175mm, So, 1/100 = (1.52-1)(1/R1-0+0)->R1=91mm;
(ii)The system matrix will be:
....................................................315593150013927716554049311001011095111351011010011175101M

127*31500139*7165315*54059*493||....M

(iii) mmCnnDrf173.184)31500139/()1/131559(/0......

The front principle plane is located at the right hand side of the first lens at 184.173 mm.
mmCAs513.4333150013954049311.......

The back principle plane is located at the left hand side of the third lens at 433.513 mm.
(iv)The image process can be described using matrix method:
................................................3155931500139*16031500139277165540493*1605404931011016013155931500139277165540493101''ssT

Let, according to the image process, we let B=0; .......DCBAT

So 03155931500139*160*277165540493*160'.......sB

->-> 357/817*6/3221's.
mms230'.

The magnification 928.1173.184160513.433230'........mwholesystemwholesystessM

(v) For entrance pupil, mmfso100,70..

From the Gaussian equation:
mmssssfiiio33.233100/1/170/1/1/1/1..........

The magnification:, The size should be mm 33.3