Recent content by Alvis

Ah, my mistake. It should be show n2<N<n1. Effective index is n1sin(theta). This is for the symmetric, 3-layer slab waveguide. The core thickness is d and its index is n1. The clad indices have the same value of n2. My task is to prove the effective index N of any of the guided modes obeys the...

Homework Statement Prove for effective index N that n1<N<n2. Homework Equations [/B] N=n1sin(theta) TIR is theta>thetacritical snells law-n1sin(theta)=n2sin(theta2)The Attempt at a Solution I know why N is strictly less than n1 since sin(theta) goes from 0 to 1 and if its at 1 theta has to...

Wow, that's a really good idea. I was trying to do the harmonic conjugate but was getting nowhere. Thank you!

Suppose u(x,y) and v(x,y) are harmonic on G and c is an element of R. Prove u(x,y) + cv(x,y) is also harmonic. I tried using the Laplace Equation of Uxx+Uyy=0 I have: du/dx=Ux d^2u/dx^2=Uxx du/dy=Uy d^2u/dy^2=Uyy dv/dx=cVx d^2v/dx^2=cVxx dv/dy=cVy d^2v/dy^2=cVyy I'm not really sure how to...

Homework Statement I was just curious, I know you can derive the critical angle using Snell's law..but could you use it using the Fresnel Equations of reflection, both of them? Homework Equations |r|=1 internal reflection of light...

@Greg Bernhardt Thank you! I have an equally strong passion for shiba inus as I do physics and music!

@MarneMath That's exactly it. I worry I won't have the academic stamina to want to finish. It's difficult putting in so much time and effort and you feel completely overworked and lost and for what? Taking a few (brief) breaks during the year might help me to remember why I'm doing this...

Hello! I am currently a 3rd year physics undergraduate student. At the moment, I am unsure if I really want to pursue a PhD in physics or just go straight into the workforce. I always thought I wanted to go to grad school until a recent visit to a grad school that nearly turned me off. I am...

That's awesome @micromass! I'm sure most people here, myself included, share your love. Unfortunately, we aren't impervious to burnouts D:

Hello! I'm genuinely curious: How do you stay motivated in your degree? I just started my 3rd year of uni (physics undergrad) and I know when the school year gets busier, especially around Midterms, I'll get really stressed out. Plus,it being junior year, I'm taking a lot more advanced...