Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: THEend8_
ENG5298: Lasers and Integrated Optics
M Channel Waveguide Analysis Assignment In this assignment
you will undertake analytic and numerical techniques for the analysis of modes of
slab and rectangular channel waveguides. Put your analyses into a pdf document,
including any code that you have written for this purpose and upload it as a Moodle assignment.
In the following problems take the wavelength as 1500 nm and the waveguide is completely
immersed in a cladding of refractive index 1.48 on all relevant sides. The refractive of the core medium
is taken to be (2.0+/100) where is the last two digits from your student number, e.g. student 3141592 would use an
index (2.0 + 0.92) = 2.92. 1.1 Slab waveguide For your analysis of a slab waveguide you will write your own code.
You may use any standard libraries for numerical routines and plotting your results. Python (Anaconda), Matlab and Mathematica are available on School of Engineering PCs as well as some compiler languages. For remote access use the Glasgow Anywhere COSE Desktop www.gla.ac.uk/myglasgow/ anywhere/desktop/ Take a slab waveguide of thickness bounded on either side by the cladding medium. Find the thickness TE1cutoff below where the fundamental TE0 mode is the only transverse electric (TE) mode supported, i.e. there is no TE1 guided mode solution. Now set the slab thickness to be 75% of this thickness, i.e. 0.75TE1cutoff. Generate a plot showing the transverse electric field as a function of distance normal to the layer () for the fundamental TE mode and determine the associated effective index of the mode. Similarly, keeping the same slab thickness 0.75TE1cutoff, generate a plot showing the transverse magnetic field as a function of distance normal to the layer () for the fundamental TMmode and determine the associated effective index of the mode. Which fundamental mode has the larger effective index? 1.2 Channel waveguide analysis using modesolver For this problem we will take a rectangular cross-section channel waveguide of transverse dimensions (using the value of TE1cutoff obtained from slab waveguide analysis) 1.5TE1cutoff × 0.75TE1cutoff entirely immersed in the claddingmediumon all sides. Use a full-vectorial numericalmodesolver of your own choosing (e.g. wgmodes for Matlab or Python, Lumerical) to generate contour plots for all 3 electric field components , , , and all 3 magnetic field components, , , , and determine the effective index for both fundamental (quasi-TE and quasi-TM) modes (i.e. there should be no nodes). Note that if you want to try this problem using Lumerical (unsupported), you should use the Glasgow Anywhere SIM Desktop.