13. Dispersive Medium, Phase Velocity, Group Velocity

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  • Опубликовано: 22 дек 2024

Комментарии • 43

  • @aelucif
    @aelucif 5 лет назад +21

    great thing to have this channel, i don't understand most of it and id have to go back to several hours worth of video to do so. But having a trust worthy source of information for free, and not only that, but someone to cares to explain that information to you, i think is a great way to improve society. have my love mit. all universities should have video lectures.

  • @daniyalrazakazmi7249
    @daniyalrazakazmi7249 3 года назад +10

    Awesome demonstration of phase and group velocity.
    49:24
    58:32

  • @mienaikoe
    @mienaikoe 6 лет назад +15

    This lecture finally made it click for me. Thank you.

  • @heiheihei60
    @heiheihei60 6 лет назад +26

    Finally, i understand what is phase velocity and group velocity
    This is not hard at all lol

  • @tlgery6357
    @tlgery6357 4 месяца назад +1

    43:37 phase velocity

  • @georged9913
    @georged9913 5 лет назад +7

    What a great lecture. I did not understand the last example at 1:10:00. How can it go as fast as the speed of light? The phase velocity vector has a certain value, and if anything, the constituent of that vector perpendicular to the beach is gonna be equal to the phase velocity as theta approaches zero. Did he mean as theta approaches 90 degrees?

    • @hershyfishman2929
      @hershyfishman2929 4 года назад

      As you see in the figure, the angle he's taking about is not between velocity vector and the beach, but between incident wave (node or anti-node line) and the beach. So 0 is correct and it's the same as 90 between the velocity vector and the beach.

  • @falcodarkzz
    @falcodarkzz 5 лет назад +6

    The michael jackson joke, this guy is the next Louis CK. Pure, comedic brilliance, just incredible. Amazing.

  • @jolez_4869
    @jolez_4869 4 года назад +5

    Its fun to watch these at 1 am.

  • @nishantshankhwar6121
    @nishantshankhwar6121 5 лет назад +3

    A very good lecture. But I have also listened to Prof. Walter Lewin's lecture on same topic, which was absolutely wonderful.

    • @roseruby9262
      @roseruby9262 5 лет назад +6

      Nishant Shankhwar i have watched both versions and I think the one of prof WL is vivid and interesting but this version of Prof Lee pays more attention to math and details which are helpful to the later 804 course lectured by prof BZ

    • @Upgradezz
      @Upgradezz 4 года назад +3

      @@roseruby9262 indeed, Mr Lee is more mathematical

  • @sosiuhim
    @sosiuhim 5 лет назад +18

    Typo in the wave equation. One of the partial-d t^2 should be partial-d x^2, am I right?

  • @zengfeidu9414
    @zengfeidu9414 10 дней назад

    In the last 3 min, he showed an example of water wave. I just don't understand how the phase velocity is calculated. How does it go to zero when the angle theta approches zero?

  • @afifakimih8823
    @afifakimih8823 4 года назад +3

    Very quality lecture!!❤️💜❤️💜🇧🇩

  • @rameshthamankarsweb6421
    @rameshthamankarsweb6421 4 года назад +1

    at 6th min, equation written is wrong. on the right side, it should be spatial variation of the function

  • @amarbapat8599
    @amarbapat8599 4 года назад +2

    why does the solution remain the same when we add stiffness term?

  • @donaldkeith139
    @donaldkeith139 3 года назад +2

    This is such a great lecture.. I wanted to turn it off to go to bed because it's 2.A.M. but I just couldn't ...

  • @hershyfishman2929
    @hershyfishman2929 4 года назад +8

    This becomes less confusing when you realize that v means the velocity if α = 0. It doesn't mean velocity when α ≠ 0, (ω/k is always the velocity.)

    • @Upgradezz
      @Upgradezz 4 года назад +1

      Indeed, you are correct. v should have been written as v0

    • @fimaf1723
      @fimaf1723 2 года назад

      Thanks! I was confused but then read your comment

  • @RudradeepMukherjee
    @RudradeepMukherjee Год назад

    Does anyone know how to smoothly simulate carrier and envelope waves in a computer simulation? I have tried with ggplot in R, but repeated plotting results in a strobe like effect which is not visible in Prof. Lee's simulation. Thank you for your help.

  • @pitv1315
    @pitv1315 4 года назад +1

    Awesome lecture.

  • @leophysics
    @leophysics 3 года назад

    Vg=c/( n(lambda) -lambda*{dn(lambda)/d(lambda)} ) can any one verify This formula? ... 😢 Please help ..
    Questions:-
    n(lambda)=1.5 +0.6×lambda
    Find Vg=?

  • @bird9
    @bird9 2 года назад

    wait windows and ubuntu at the same time ?

  • @marcelooyarzo6351
    @marcelooyarzo6351 4 года назад +1

    Awesome!!

  • @dj2544
    @dj2544 6 лет назад +11

    The wave function is incorrect

    • @homerzihongxie3545
      @homerzihongxie3545 5 лет назад

      The right hand side should be the second order partial derivative of ψ w.r.t. x instead of t.

  • @yogendrakumarlodhi3117
    @yogendrakumarlodhi3117 2 года назад

    ideal spring equation is wrong written.

  • @rohitrohj9541
    @rohitrohj9541 4 года назад

    really a good explanation !

  • @dj2544
    @dj2544 6 лет назад +4

    Ok, then you corrected that, good

  • @Upgradezz
    @Upgradezz 4 года назад +1

    Pretty dense lecture

  • @time-mechanics
    @time-mechanics 3 года назад

    🖖❤️

  • @finaltheorygames1781
    @finaltheorygames1781 4 года назад

    I am really smart asian man. My english is not so good but i try. hehehe

  • @finaltheorygames1781
    @finaltheorygames1781 4 года назад

    If you use this kind of strel-o-ge.......... you mean strategy.

  • @finaltheorygames1781
    @finaltheorygames1781 4 года назад +1

    Square pouse............ you mean square pulse............ i love these people who teach but can't speak english.

    • @santiagoarce5672
      @santiagoarce5672 4 года назад +2

      Then how can I understand his lectures on university level physics?

    • @fehmi35
      @fehmi35 4 года назад

      @@santiagoarce5672 2x speed xd

    • @santiagoarce5672
      @santiagoarce5672 4 года назад

      @@fehmi35 Yeah exactly.

  • @Ernesto1317
    @Ernesto1317 Год назад

    I always wonder why the American universities are invaded by Chinese instructors. Are the American scholars not good enough?