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Introduction to Accelerators Lecture 4 Basic Properties of Particle Beams William A. Barletta Director, United States Particle Accelerator School Dept. of Physics, MIT US Particle Accelerator School Homework item US Particle Accelerator School From the last lecture US Particle Accelerator School We computed the B-field from current loop with I = constant (cid:1) By the Biot-Savart law we found that on the z-axis I 2(cid:1) 2(cid:1)IR2 B = Rsin(cid:3)(cid:2) d(cid:4) zˆ = zˆ ( ) cr2 c R2 + z2 3/2 0 (cid:1) What happens if we drive the current to have a time variation? r R US Particle Accelerator School The far field B-field has a static dipole form Importantly the ring of current does not radiate US Particle Accelerator School Question to ponder: What is the field from this situation? r R We’ll return to this question in the second half of the course US Particle Accelerator School Is this really paradoxical? (cid:1) Let’s look at Maxwell’s equations (cid:1) Take the curl of (cid:1)xE (cid:1) Hence US Particle Accelerator School The dipole radiation field: note the similarity to the static dipole US Particle Accelerator School Now on to beams US Particle Accelerator School Beams: particle bunches with directed velocity (cid:1) Ions - either missing electrons or with extra electrons (+) (-) (cid:1) Electrons or positrons (cid:1) Plasma - ions plus electrons (cid:1) Source techniques depend on type of beam & on application US Particle Accelerator School

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Sharp needle enhances electric field Photoemission from metals & semi-conductors Beams have directed energy The beam momentum refers to the average value of pz of

Introduction to Accelerators - U.S. Particle Accelerator School PDF

70 Pages·2008·2.18 MB·English

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Sharp needle enhances electric field Photoemission from metals & semi-conductors Beams have directed energy The beam momentum refers to the average value of pz of

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Publication Year:	2008
Pages:	70
Language:	English
File Size:	2.18
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