Leveling Up: Green’s Functions Master.
Okay, my previous post was about 4 or 5 weeks a head of schedule. That was my first answer which was completely wrong! Heh, but now I’ve confirmed everything with Ansoft HFSS and I have officially leveled up to Green’s Functions Master.
So, over the past 6 months I have been able to stop all schoolwork, write up my Master’s thesis and be done with it. But being the masochist that I am, I decided to set 3 paths or “outs” for myself.
The first out is the Engineering Master’s. All of the work needed for this out has been done for quite some time. I used Ansoft HFSS to calculate fields. I’ve used those calculations and manipulated the slots on a waveguide to have a uniform penetration of magnetic field into the waveguide. I did some curve fitting to understand the shape and that is it. Quite boring. There is a deeper level of understanding but not as much as I have accustomed myself to.
The second out is the one I just reached this morning, the Green’s Functions Master Master’s. This one is much more exciting. I’ve gone through Tai’s Dyadic Green Functions in Electromagnetic Theory book from cover to cover figuring out how to characterize a waveguide with a slot leaking microwaves in. Below are my results.
Which one is the Ansoft data? Which on is the Green’s functions? I know, awesome. The left was computed purely analytically while the right was done with Ansoft HFSS. You are looking at Hmag, Hx, Hy, and Hz from top to bottom. So I should start writing and get on with my master’s right?
Wrong!
I have one more path that I want to try to get to before Easter Break is over (my self-imposed deadline is then). This is the Holy Grail Master’s. As expected the Holy Grail master’s is awesome. I eluded to it in my seminar presentation. The holy grail would be now to use the first order solutions I have for one slot and extrapolate this to second-order solutions for n slots. Since when the slots get close to each other they have mutual coupling, which is not a linear effect.
I can’t wait. I hope I can complete the Holy Grail.
You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
February 28th, 2008 at 2:19 am
“Camelot”
“Camelot!”
“Camelot!”
“-tis only a model.”
“shh!”
I say go for the holy grail of mastering masterfully your masters thesis of Green’s function mastery.
Green’s functions are probably the coolest things since crystal pepsi, and I really want to get more into understanding them as well. I am already drawing up a grand list of things I want to self-stud this summer, hopefully I will mark more things (read: >1) off than I did last summer…and this is on the list now.
PS - is this a matter of graduating this semester or not? I mean, does it really matter how long it takes? You aren’t running off to a new school or place of work when you are finished, so I say cast time deadline concerns to the wind and go for broke/gold.
PS2 - if you graduate this semester too we should have a pitcher and pizza thursday graduation party! There, I said it.
February 28th, 2008 at 2:27 am
By the way, that should be “self-study”. “self-stud” doesn’t sound good.
I forgot to mention how awesome those plots are! That is really great agreement. Congrats!
I saw we have a Green’s function party. Everyone can dress up as their favorite Green’s function. I will go as a grounded dielectric substrate, mainly because I like the option of supporting surface waves. I also realize we will likely be the only ones in attendance to this party, but we can drink and do analytic formulations.
February 28th, 2008 at 9:21 am
Yeah I found that picture of King Aurthor’s vision of the holy grail… and I added some dyadic green’s functions to it.
Well my plan is to graduate in the fall and write in the summer. So I need some kind of deadline to start the writing process. Truthfully I will still be working on the side to try and get the holy grail but it isn’t going to be easy.
Right now the plan is to plot current patterns from the field data and see what it looks like. Then use ansoft to see how those field patterns are affected by a slot. I then hope to make adjustments to the source function to adjust for slot proximity.
April 11th, 2008 at 11:39 am
[...] this post, I become one step away from being getting the Holy Grail of my Master’s Thesis. With the help of Pozar and Pan’s papers on mutual coupling of slot antenna arrays, it looks [...]