OK I see. It seems like the continuity condition is something to do with the fact that the interface has zero volume and the planar surface is sufficiently large.
The path of line integration must be an infinitely thin rectangular when the area of the box approaches to 0.
The shape of the box...
Stokes's theorem for rotE is
\int{ rot\bf{E}}{\bf dS}= \oint _{∂S} \bf Edx = \oint _{∂S} \bf \partial_t B dx
How does this lead to the continuity condition?
I am trying to understand the derivation of Snell's law using Maxwell's equation and got stuck.
My textbook says that "the E field that is tangent to the interface must be continuous" in order to consider refraction of light.
If it were static E field I understand this is true because in...
Some people use Q factor as a measure of the quality of a distributed Bragg reflector (DBR) which doesn't make much sense to me.
I understand that the Q factor is a measure of how slw a resonator looses it's stored energy.
However, I don't think DBRs store energy in a similar way to springs...