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...

Homework Statement Based on sizes for Na(.97 Angstroms), Cs(1.67 Angstroms), and Cl(1.81 Angstroms), which lattice type would you expect for NaCl and CsCl and why? Homework Equations My equation for the hole size for a bcc is (4/sqrt(3))(radius)-2(radius), I assume you put in the radius of Cl...

@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...