EE 236 Winter 15 Homework 5
Issued: 02/19/15
Due: 03/03/15
1. Matrix analysis of Fabry-Perot etalon
a) Do problem 5.5 in the text book. Assume a finite stack made of two materials with indices n1
and n2.
b) Consider the symmetric Fabry-Perot etalon (n1=n3
EE 236 Winter 15 Homework 1
Issued: 01/06/15
Due: 01/27/15
1. Fluorescence characteristics
The fluorescence quantum yield is determined by the radiative and non-radiative decay rates.
The non-radiative rates are typically similar for fluorescence and phos
EE 236 Winter 15 Homework 3
1. Asymmetric slab waveguide
Consider the one-dimensional asymmetric slab waveguide shown below. Assume n2>n1,n3, and
TE polarization. Propagation is along z (into the plane of the paper) as usual.
x
n1
d/2
n2
0
-d/2
y
n3
(a) D
EE 236 Homework 6 Solutions
1.
a)
EE 236 Homework 6 Solutions
c)
e) Round trip phase shift 2kcxdc = 10m * 0.6823 m-1 = 6.283 = 2
f) Design would not need to change. If the layer with intermediate index is sandwiched between a
high and low index layer, it
TIR-based waveguides
y
x
z
Total internal reflection (TIR)
nL
nNP
y
y
nc
nC
x
nc
ns
z
x
x
y
z
Liquid-core waveguides
Si waveguides
n2
n1
n2
x
L2-waveguides
EE 236 Integrated Biophotonics, Winter 2015
y
nw
nanoporous cladding
nc
nw
ns
x
slot waveguides
Rev
EE236 Integrated biophotonics - Class outline
Class objective:
Explore current trends in integrated optics with a focus on
the emerging field of optofluidics and ultrasensitive biodetection
hollow-core
waveguides/
nanophotonics
Optofluidics
EE236
Single
m
EE 236 Homework 5 Solutions
1.
b)
a
b
c
d
EE 236 Homework 5 Solutions
EE 236 Homework 5 Solutions
(iv)
gray
Light gray
EE 236 Homework 5 Solutions
(v)
2. a)
b) (i)
EE 236 Homework 5 Solutions
Normal incidence: TE=TM
EE 236 Homework 5 Solutions
(vii)
EE 23
EE 236 Winter 15 Homework 6
Issued: 03/03/15
Due: 03/12/15
1. Symmetric Bragg waveguide
Consider the symmetric Bragg waveguide shown below where a low-index core is surrounded by
identical Bragg waveguides on both sides.
nC
n1 n2 n1
z
-t/2
0
x
t/2
a) Deri
EE 236 Winter 15 Homework 4
Issued: 02/10/15
Due: 02/19/15
1. Solid-core waveguides for optofluidics
a) Buried waveguides
In class, we discussed a buried PDMS waveguide with index 1.46 surrounded by index 1.41.
Calculate the number of modes in one dimensi
EE 236 Homework 4 Solutions
1.
a)
EE 236 Homework 4 Solutions
b)
EE 236 Homework 4 Solutions
c)
EE 236 Homework 4 Solutions
2. a)
b)
c)
d)
e)
f)
EE 236 Homework 4 Solutions
3. a)
b)
c)
d)
e)