Direct Energy, 2018a

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4 ANTENNAS 83 axis formed by the direction of propagation, the wave is called circularly polarized. If the direction of the electric eld rotates nonuniformly, the wave is called elliptically polarized. For circularly polarized waves, the projection of the wave on a plane perpendicular to the axis formed by the direction of propagation is circular. For elliptical waves, the projection is elliptical. To determine if the polarization is left or right, point your right thumb in the direction of propagation, and compare the rotation of the electric eld to the rotation of your ngers. If the rotation is along the direction of the ngers of your right hand, the wave is right polarized. Otherwise, it is left polarized. For example, the wave described by −→ E = E0 cos ( 10 6 t − 300z ) â x √ 2 + E 0 sin ( 10 6 t − 300z ) â y √ 2 (4.21) is right circularly polarized. As another example, the wave −→ E = E0 cos ( 10 6 t − 300z ) â x 2 + E 0 sin ( 10 6 t − 300z ) √ â y 3 2 is right elliptically polarized. The wave (4.22) −→ E = E0 cos ( 10 6 t − 300z ) â x √ 2 − E 0 sin ( 10 6 t − 300z ) â y √ 2 (4.23) is left circularly polarized. These denitions are illustrated in the Fig. 4.5. What does electromagnetic polarization have to do with antennas? Antennas may be designed to transmit linearly, circularly, or elliptically polarized signals. Antennas designed to transmit or receive circularly polarized signals often contain wires that coil in the corresponding direction around an axis. If a signal is transmitted with an antenna designed to transmit linearly polarized waves, the best antenna to use as a receiver will be one that is also designed for linearly polarized waves. The signal can be detected by an antenna designed for signal of a dierent electromagnetic polarization, but the received signal will be noisier or weaker. Similarly, if a signal is transmitted with an antenna designed for right circular polarization, the best receiving antenna to use will be one also designed for right circular polarization.
84 4.4 Antenna Characteristics 5 Linearly Polarized 0 z -5 5 0 -5 10 20 30 0 Right Circularly Polarized 5 5 Left Circularly Polarized 0 0 z -5 5 0 -5 10 20 30 0 Right Elliptically Polarized 5 -5 5 5 z 0 -5 0 10 20 Left Elliptically Polarized 30 0 0 -5 5 0 -5 0 10 20 z 30 -5 5 0 -5 0 10 20 z 30 Figure 4.5: Illustration of types electromagnetic polarization for a plane wave traveling in the â z direction.
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Direct Energy Conversion by Andrea
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CONTENTS i Contents Contents i 1 In
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CONTENTS iii 6.3.2 Energy Levels in
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CONTENTS v 9.6 Fuel Cells . . . . .
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Acknowledgements I would like to th
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2 1.2 Preview of Topics to connect
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4 1.2 Preview of Topics Math throug
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6 1.2 Preview of Topics Process Spo
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8 1.2 Preview of Topics drodynamic
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10 1.4 Measures of Power and Energy
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12 1.5 Properties of Materials 1.5
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14 1.5 Properties of Materials most
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16 1.6 Electromagnetic Waves −→
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18 1.6 Electromagnetic Waves Relate
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20 1.6 Electromagnetic Waves A unif
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22 1.7 Problems
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24 2.2 Capacitors 2.2 Capacitors 2.
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26 2.2 Capacitors 2.2.3 Permittivit
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28 2.2 Capacitors â z â y â x No
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30 2.2 Capacitors Figure 2.3: Natur
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Page 57 and 58: 46 2.3 Piezoelectric Devices tions.
Page 59 and 60: 48 2.4 Problems 2.5. A piezoelectri
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Page 73 and 74: 62 3.4 Notation Quagmire Notation i
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Page 79 and 80: 68 4.1 Introduction Center-fed half
Page 81 and 82: 70 4.2 Electromagnetic Radiation In
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Page 103 and 104: 92 5.2 Physics of the Hall Eect The
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Page 107 and 108: 96 5.3 Magnetohydrodynamics This am
Page 109 and 110: 98 5.5 Applications of Hall Eect De
Page 111 and 112: 100 5.6 Problems 5.6 Problems 5.1.
Page 113 and 114: 102 6.2 The Wave and Particle Natur
Page 115 and 116: 104 6.3 Semiconductors and Energy L
Page 131 and 132: 120 6.4 Crystallography Revisited L
Page 133 and 134: 122 6.5 Pn Junctions E Indirect Sem
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Page 137 and 138: 126 6.5 Pn Junctions V x - + Energy
Page 139 and 140: 128 6.6 Solar Cells to day and loca
Page 141 and 142: 130 6.6 Solar Cells dot based mater
Page 143 and 144: 132 6.7 Photodetectors Solar Panel
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134 6.7 Photodetectors 6.7.2 Measur
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6 PHOTOVOLTAICS 137 6.3. The gure i
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7 LAMPS, LEDS, AND LASERS 139 7 Lam
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7 LAMPS, LEDS, AND LASERS 141 Photo
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7 LAMPS, LEDS, AND LASERS 143 Absor
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7 LAMPS, LEDS, AND LASERS 145 We ca
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7 LAMPS, LEDS, AND LASERS 147 If we
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7 LAMPS, LEDS, AND LASERS 149 tube
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7 LAMPS, LEDS, AND LASERS 151 easil
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7 LAMPS, LEDS, AND LASERS 153 Power
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7 LAMPS, LEDS, AND LASERS 155 Two L
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7 LAMPS, LEDS, AND LASERS 157 but n
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7 LAMPS, LEDS, AND LASERS 159 of ec
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7 LAMPS, LEDS, AND LASERS 161 the o
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7 LAMPS, LEDS, AND LASERS 163 Ti:Sa
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7 LAMPS, LEDS, AND LASERS 165 the b
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7 LAMPS, LEDS, AND LASERS 167 Gas D
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7 LAMPS, LEDS, AND LASERS 169 categ
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7 LAMPS, LEDS, AND LASERS 171 7.8.
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8 THERMOELECTRICS 173 8 Thermoelect
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8 THERMOELECTRICS 175 Symbol Name V
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8 THERMOELECTRICS 177 per unit volu
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8 THERMOELECTRICS 179 kPa, and the
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8 THERMOELECTRICS 181 Seebeck Effec
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8 THERMOELECTRICS 183 gradient acro
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8 THERMOELECTRICS 185 thermocouples
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8 THERMOELECTRICS 187 The gure of m
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8 THERMOELECTRICS 189 or mass invol
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8 THERMOELECTRICS 191 temperatures?
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8 THERMOELECTRICS 193 Figure 8.4: L
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8 THERMOELECTRICS 195 8.9 Problems
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8 THERMOELECTRICS 197 8.8. A thermo
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8 THERMOELECTRICS 199 Figure 8.5 8.
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202 9.2 Measures of the Ability of
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212 9.3 Charge Flow in Batteries an
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214 9.3 Charge Flow in Batteries an
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216 9.4 Measures of Batteries and F
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224 9.5 Battery Types specic energi
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226 9.5 Battery Types at the anode
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228 9.5 Battery Types Figure 9.8: T
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230 9.6 Fuel Cells Fuel cell compon
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232 9.6 Fuel Cells 9.6.3 Practical
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234 9.7 Problems 9.7 Problems 9.1.
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236 9.7 Problems A E - + I B D H 2
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238 10.3 Radiation Detectors high e
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240 10.5 Resistive Sensors capacito
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242 10.6 Electrouidics However, ene
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244 10.6 Electrouidics
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246 11.2 Lagrangian and Hamiltonian
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248 11.3 Principle of Least Action
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250 11.4 Derivation of the Euler-La
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252 11.5 Mass Spring Example not in
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254 11.5 Mass Spring Example Path 1
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256 11.5 Mass Spring Example We can
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258 11.6 Capacitor Inductor Example
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260 11.6 Capacitor Inductor Example
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262 11.7 Schrödinger's Equation 11
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264 11.8 Problems 11.4. Figure 11.2
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266 11.8 Problems a famous result k
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268 11.8 Problems (c) Find the gene
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270 12.2 Electrical Energy Conversi
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276 12.3 Mechanical Energy Conversi
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282 12.4 Thermodynamic Energy Conve
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284 12.4 Thermodynamic Energy Conve
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286 12.5 Chemical Energy Conversion
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288 12.6 Problems 12.6 Problems 12.
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290 12.6 Problems 12.6. Match the d
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292 13.1 Introduction • Describe
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294 13.2 Preliminary Ideas Assuming
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296 13.3 Derivation of the Lagrangi
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306 13.4 Deriving the Thomas Fermi
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308 13.5 From Thomas Fermi Theory t
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310 13.6 Problems (a) Write the Ham
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312 14.1 Introduction damental equa
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314 14.2 Types of Symmetries be wri
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316 14.3 Continuous Symmetries and
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322 14.4 Derivation of the Innitesi
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330 14.5 Invariants and we end up w
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332 14.5 Invariants in the limit ε
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334 14.5 Invariants Next use Eq. 14
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336 14.6 Summary 14.6 Summary In th
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338 14.7 Problems 14.6. The equatio
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340 14.7 Problems
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342 Appendices Symbol Quantity Unit
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350 Appendices Prex name Symbol Val
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352 Appendices for voltage. (As an
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354 Appendices Material or Device S
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356 REFERENCES [15] E. C. Jordan an
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358 REFERENCES [45] V. K. Tikhomiro
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360 REFERENCES [73] M. G. Thomas, H
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362 REFERENCES [100] A. Ishibashi,
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364 REFERENCES [125] D. Wright, Req
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366 REFERENCES [150] J. P. Owejan,
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368 REFERENCES [175] G. K. Woodgate
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Index Absorption, 139 Action, 247 A
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372 INDEX Nernst equation, 220 Neur
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About the Book Direct Energy Conver
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Direct Energy, 2018a

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