Recent content by Calcoolius

So this is the new two-source-interference 'fringe-distance' formula to be used and taught for all educational bodies, systems etc. from now on :biggrin: Well, more seriously... it occurred to me when I realized - we don't really use wavelengths even close (to the gap) in size - the visible...

Working: Just to make sure: I changed the variables to their normal use in this context ...so that distances for any antinodal on the screen are such as that - if to one source one distance is p - the other would be longer by path difference of a whole number of wavelengths i.e. nλ (where...

Hmmmm... Maybe the wavelength needs to also be smaller than gap between sources(?) for estimation to apply? Is that possible? I don't feel as if I truly know anything now... Would you like to try deriving this thing using Pythagoras too? Maybe you'll get something different as I'd've...

Are you sure you are using the formula with no omissions? I see you used the good old estimation, like this: x = nλL/d so that if you make (nλL/d) a multiplier of the rest of the expression, then: - when the values are respectively large (for L) or small (λ, d) as we said before, this...

How do you check...? using limit? If so how? I havn't yet found errors... but then I am bad at finding errors usually, anyway... by the way, I simplified it to this... which won't be useful if there is an error of course... p = 0.5λ[(4L2)/(d2 - λ2) + 1]0.5 this was a quadratic, I omitted...

Homework Statement Finding exact distances / angles for some maximum constructive / destructive interference 'bands' for a two-source interference - fixed source-source distance, d - screen parallel with source-source line segment - screen fixed distance away from sources, L - wavelength...

So it doesn't make a difference... okay thank-you! I would guess though now that I know, colons are better in this complex number context, so as not to confuse with modulus signs! :smile: :smile: :smile: Thank-you both misters CompuChip and Office Shredder for help / explanations /...

wh-ha :smile: very clear, thank-you! So this is essentially (with regard to some complex number z) collecting a SET of points...? which is the locus (did I get this right?) and the condition is what you pointed out as the expression following the vertical bar {...|condition} So... where does...

Hello, I'm just unsure about the use of curly brackets in expressing loci of complex number z, to which I've been introduced in our calculus class: - I can't find elaborations on this on-line :confused: - No material I can find in our textbooks(?) I do know it is used to express the...