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The size of a radio antenna is closely related to ... - Light and Matter

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6.2 Bounded Waves<br />

Speech <strong>is</strong> what separates humans most dec<strong>is</strong>ively from animals. No<br />

other species can master syntax, <strong>and</strong> even though chimpanzees can<br />

learn a vocabulary <strong>of</strong> h<strong>and</strong> signs, there <strong>is</strong> an unm<strong>is</strong>takable difference<br />

between a human infant <strong>and</strong> a baby chimp: starting from birth, the<br />

human experiments with the production <strong>of</strong> complex speech sounds.<br />

Since speech sounds are instinctive for us, we seldom think about<br />

them consciously. How do we control sound waves so skillfully?<br />

Mostly we do it by changing the shape <strong>of</strong> a connected set <strong>of</strong> hollow<br />

cavities in our chest, throat, <strong>and</strong> head. Somehow by moving the<br />

boundaries <strong>of</strong> th<strong>is</strong> space in <strong>and</strong> out, we can produce all the vowel<br />

sounds. Up until now, we have been studying only those properties<br />

<strong>of</strong> waves that can be unders<strong>to</strong>od as if they ex<strong>is</strong>ted in an infinite,<br />

open space with no boundaries. In th<strong>is</strong> chapter we address what<br />

happens when a wave <strong>is</strong> confined within a certain space, or when a<br />

wave pattern encounters the boundary between two different media,<br />

such as when a light wave moving through air encounters a glass<br />

windowpane.<br />

a / A cross-sectional view <strong>of</strong><br />

a human body, showing the vocal<br />

tract.<br />

b / Circular water waves are<br />

reflected from a boundary on the<br />

left. (PSSC Physics)<br />

6.2.1 Reflection, transm<strong>is</strong>sion, <strong>and</strong> absorption<br />

Reflection <strong>and</strong> transm<strong>is</strong>sion<br />

Sound waves can echo back from a cliff, <strong>and</strong> light waves are<br />

reflected from the surface <strong>of</strong> a pond. We use the word reflection,<br />

normally applied only <strong>to</strong> light waves in ordinary speech, <strong>to</strong> describe<br />

any such case <strong>of</strong> a wave rebounding from a barrier. Figure (a) shows<br />

a circular water wave being reflected from a straight wall. In th<strong>is</strong><br />

chapter, we will concentrate mainly on reflection <strong>of</strong> waves that move<br />

in one dimension, as in figure c/1.<br />

Wave reflection does not surpr<strong>is</strong>e us. After all, a material object<br />

such as a rubber ball would bounce back in the same way. But waves<br />

are not objects, <strong>and</strong> there are some surpr<strong>is</strong>es in s<strong>to</strong>re.<br />

First, only part <strong>of</strong> the wave <strong>is</strong> usually reflected. Looking out<br />

through a window, we see light waves that passed through it, but a<br />

person st<strong>and</strong>ing outside would also be able <strong>to</strong> see her reflection in<br />

the glass. A light wave that strikes the glass <strong>is</strong> partly reflected <strong>and</strong><br />

partly transmitted (passed) by the glass. <strong>The</strong> energy <strong>of</strong> the original<br />

wave <strong>is</strong> split between the two. Th<strong>is</strong> <strong>is</strong> different from the behavior <strong>of</strong><br />

the rubber ball, which must go one way or the other, not both.<br />

Second, consider what you see if you are swimming underwater<br />

<strong>and</strong> you look up at the surface. You see your own reflection. Th<strong>is</strong><br />

<strong>is</strong> utterly counterintuitive, since we would expect the light waves <strong>to</strong><br />

burst forth <strong>to</strong> freedom in the wide-open air. A material projectile<br />

shot up <strong>to</strong>ward the surface would never rebound from the water-air<br />

boundary!<br />

What <strong>is</strong> it about the difference between two media that causes<br />

360 Chapter 6 Waves

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