Transmission Lines and Lumped Circuits[推荐]:Transmission Lines and Lumped Circuits (Electromagnetism) (Electromagnetism)
By Giovanni Miano, Antonio Maffucci
Publisher: Academic Press
Number Of Pages: 479
Publication Date: 2001-02-15
ISBN-10 / ASIN: 0121897109
ISBN-13 / EAN: 9780121897109
Binding: Hardcover
The theory of transmission lines is a classical topic of electrical engineering. Recently this topic has received renewed attention and has been a focus of considerable research. This is because the transmisson line theory has found new and important applications in the area of high-speed VLSI interconnects, while it has retained its significance in the area of power transmission. In many applications, transmission lines are connected to nonlinear circuits. For instance, interconnects of high-speed VLSI chips can be modelled as transmission lines loaded with nonlinear elements. These nonlinearities may lead to many new effects such as instability, chaos, generation of higher order harmonics, etc. The mathematical models of transmission lines with nonlinear loads consist of the linear partial differential equations describing the current and voltage dynamics along the lines together with the nonlinear boundary conditions imposed by the nonlinear loads connected to the lines. These nonlinear boundary conditions make the mathematical treatment very difficult. For this reason, the analysis of transmission lines with nonlinear loads has not been addressed adequately in the existing literature. The unique and distinct feature of the proposed book is that it will present systematic, comprehensive, and in-depth analysis of transmission lines with nonlinear loads.
* A unified approach for the analysis of networks composed of distributed and lumped circuits
* A simple, concise and completely general way to present the wave propagation on transmission lines, including a thorough study of the line equations in characteristic form
* Frequency and time domain multiport representations of any linear transmission line
* A detailed analysis of the influence on the line characterization of the frequency and space dependence of the line parameters
* A rigorous study of the properties of the analytical and numerical solutions of the network equations
* The associated discrete circuits and the associated resisitive circuits of transmission lines
* Periodic solutions, bifurcations and chaos in transmission lines connected to noninear lumped circuits
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謝謝樓主.....................................
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Contents
Foreword
Preface
Introduction
A Survey of the Problem
The Idea of the Book
Chapter 1 Transmission Line Equations and Properties
1.1 Transmission Line Model
1.2 Two-Conductor Transmission Line Equations
1.2.1 Ideal Transmission Lines
1.2.2 Lossy Transmission Lines
1.2.3 Nonuniform Transmission Lines
1.2.4 Transmission Lines with Distributed Sources
1.2.5 Transmission Lines with Frequency-Dependent
Parameters
1.3 Multiconductor Transmission Line Equations
1.3.1 Ideal Multiconductor Transmission Lines
1.3.2 Lossy Multiconductor Transmission Lines
1.3.3 Multiconductor Transmission Lines with
Distributed Sources
xix
xxi
1
3
5
15
16
21
21
22
23
23
24
26
26
28
30
vii
... vlll
1.4
1.5
1.6
1.7
1.8
1.9
Contents
1.3.4 Multiconductor Transmission Lines with
Frequency-Dependent Parameters
Poynting's Theorem for Lines with Frequency
Independent Parameters
1.4.1 Two-Conductor Transmission Lines
1.4.2 Multiconductor Transmission Lines
Uniqueness of the Solution of Transmission Line
Equations
1.5.1 Two-Conductor Transmission Lines
1.5.2 Multiconductor Transmission Lines
Poynting's Theorem for Lines in the Frequency
1.6.1 Two-Conductor Transmission Lines
1.6.2 Multiconductor Transmission Lines
Uniqueness of the Solution of Transmission Line
Equations with Frequency-Dependent Parameters
1.7.1 Two-Conductor Transmission Lines
1.7.2 Multiconductor Transmission Lines
Transmission Line Equations in the Laplacde Domain
Reciprocity Theorems for Two-Conductor
Transmission Lines
1.9.1 The First Form of the Reciprocity Theorem
1.9.2 The Second Form of the Reciprocity Theorem
1.9.3 The Third Form of the Reciprocity Theorem
Domain
1.10 Reciprocity Theorems for Multiconductor
Transmission Lines
1.10.1 The First Form of the Reciprocity Theorem
1.10.2 The Second Form of the Reciprocity Theorem
1.10.3 The Third Form of the Reciprocity Theorem
1.10.4 Reciprocity Theorem for a Semi-infinite
Transmission Line
Chapter 2 Ideal Two-Conductor Transmission Lines
Connected to Lumped Circuits
Line Equations
2.1 d'Alembert Solution of Two-Conductor Transmission
30
32
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Contents ix
2.2 Some Elementary Networks
2.2.1 An Infinite Line
2.2.2 A Semi-infinite Line Connected to an Ideal
Current Source
2.2.3 A Semi-infinite Line Connected to a Linear
Resistor; Reflection Coefficient
2.2.4 A Semi-infinite Line Connected to a Linear
Capacitor
2.2.5 A Semi-infinite Line Connected to a
Nonlinear Resistor
2.2.6 A Semi-infinite Line Connected to a
Nonlinear Resistor in Parallel with a
Linear Capacitor
2.3 Natural Frequencies of a Finite Length
2.4 Two-Conductor Transmission Lines as Two-Ports
Transmission Line Connected to Short Circuits
2.4.1 State Variables of the Line
2.4.2 Transmission Line Behaviour at the Ends
2.5 The Input-Output Description
2.6 The Input-State-Output Description, and
2.7 Lines Connected to Linear Lumped Circuits
2.7.1 State Equations in Normal Form
2.7.2 Natural Frequencies of the Network
2.7.3 Solution in the Laplace Domain
a Nonlinear One-Port: State Equations in
Normal Form
2.8.1 A Line Connected to a Nonlinear Resistor
2.8.2 A Line Connected to a Nonlinear Resistor in
Equivalent Circuits of Thkvenin and Norton Type
2.8 A Glimpse at a Transmission Line Connected to
Parallel with a Linear Capacitor
2.9 Ideal Two-Conductor Transmission Lines with
Distributed Sources
2.9.1 A Particular Solution of the Line Equations
With Distributed Sources
2.9.2 Characterization as Two-Ports
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91
X Contents
Chapter 3 Ideal Multiconductor Transmission Lines
3.1 d’Alembert Solution for Ideal Multiconductor
Transmission Lines
3.1.1 Properties and Diagonalization of the Matrices
3.1.2 Characteristic Resistance and Conductance
3.1.3 Natural Modes of Propagation
LC and CL
Matrices
3.2 Infinite Multiconductor Transmission Lines
3.3 Semi-infinite Multiconductor Transmission Lines
3.4 Ideal Multiconductor Transmission Lines as
and Equivalent Circuits
Multiports
3.4.1 Characterization of the Transmission Line
Behavior at the Ends
3.5 The Input-State-Output Description and the
3.6 Multiconductor Lines with Homogeneous Dielectric
3.6.1 Characterization of the Transmission Line
Equivalent Circuits of Thevenin and Norton Type
Behavior at the Ends
3.7 Multiconductor Transmission Line Connected to
Linear Resistive Multiports
3.7.1 Natural Frequencies of the Network
3.8 A Particular Solution of the Ideal Multiconductor
Transmission Line Equations with Distributed
Sources
3.8.1 Transversally Homogeneous Lines
3.9 Properties of the Characteristic Conductance
Matrix G, and Resistance Matrix R,
Chapter 4 Lossy Two-Conductor Transmission Lines
4.1 Lossy Transmission Lines are Dispersive
4.1.1 The Heaviside Condition
4.2 Solution of the Lossy Transmission Line Equations
in the Laplace Domain
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93
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99
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108
112
115
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132
Contents xi
4.3 The Propagation Along a Lossy Transmission Line 136
4.4 Semi-infinite Lossy Line Connected to an Ideal
Current Source 141
4.4.1 Properties of the Characteristic Impedance
Z,(s) and of the Impulse Response z,(t) 142
4.4.2 A Fast Convolution Algorithm 145
4.5 Representation of Lossy Two-Conductor Lines
as Two-Ports 148
4.5.1 Terminal Behaviour of the Line in the Laplace
Domain: the Describing Functions Z,(s) and P(s) 149
4.5.2 Properties of the Global Propagation Operator
P(s) and of the Impulse Response p ( t )
4.6 The Input-State-Output Description
4.6.1 Laplace Domain Equivalent Circuits of
Thevenin and Norton Type
4.6.2 Time Domain Thevhin Description
4.6.3 Time Domain Norton Description
Input-Output Descriptions in Explicit Form
4.7.1 The Impedance Matrix
4.7.2 The Admittance Matrix
4.7.3 The Hybrid Matrices
4.7.4 The Transmission Matrices
4.8 A Lossy Transmission Line Connecting Two Linear
Resistive One-Ports
4.8.1 Numerical Solution of Volterra Integral
4.9 The Matching Problem for Lossy Lines
4.10 Lossy Transmission Lines with Distributed Sources
4.7
Equations of the Second Kind
4.10.1 Particular Solution of Line Equations with
Distributed Sources
4.10.2 Two-port Characterisation
4.11 Characterization of the Terminal Behavior of
the Line Through the Scattering Parameters
152
154
154
156
158
160
160
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165
166
168
171
172
174
175
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178
xii Contents
Chapter 5 Lossy Two-Conductor Transmission Lines
with Frequency-Dependent Parameters
5.1 Introduction
5.2 Frequency Behavior of the Per-Unit-Length
Admittance Y(s)
5.2.1 Homogeneous Embedding Medium
5.2.2 Nonhomogeneous Embedding Medium
5.2.3 Asymptotic Expression of Y(s)
Impedance 2%)
5.3.1 Skin Effect
5.3.2 Anomalous Skin Effect
5.3.3 Superconducting Transmission Lines
5.3.4 A Single Wire Above a Finite Conductivity
5.3 Frequency Behavior of the Per-Unit-Length
Ground plane
5.4 Properties of the Describing Functions P(s), Z,(s),
and Y,(s)
5.4.1 Asymptotic Expression of 2,
5.4.2 Asymptotic Expression of P
5.4.3 Asymptotic Behaviour of Y,
z,(t), and Y,(s)
5.5.1 Inverse Laplace Transform of Functions
Behaving as s - for s -+ cc
5.5.2 Qualitative Behavior of the Impulse Responses
5.5.3 Qualitative Behavior of the Impulse
5.5.4 A Numerical Experiment
5.5 Qualitative Behavior of the Impulse Responses p ( t ) ,
z c and Yc
Response p
Chapter 6 Lossy Multiconductor Transmission Lines
6.1 Introduction
6.2 Lossy Multiconductor Lines Exhibiting a Structural
Symmetry
6.3 Lossy Multiconductor Line Equations in the
Laplace Domain
181
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219
Contents
6.4
6.5
6.6
6.7
6.8
6.9
6.3.1 The Eigenvalues and Eigenvectors of the
Matrices A = ZY/sz and II = YWs2
6.3.2 The General Solution
Lossy Multiconductor Transmission Line as
Multiports in the Laplace Domain
The Input-State-Output Description and the
Equivalent Representations of Thevenin and
Norton Type
6.5.1 Laplace Domain
6.5.2 Time Domain
Input-Output Descriptions in Explicit Form
6.6.1 The Impedance Matrix
6.6.2 The Admittance Matrix
6.6.3 The Hybrid Matrices
6.6.4 The Transmission Matrices
The Problem of the Inverse Laplace Transform of
the Matrix Operators P(s), Z,(s), and Y,(s)
Study of the Asymptotic Behavior of the Matrix
Operator A(s) Through the Rayleigh-Schrodinger
Method
...
X l l l
219
22 1
224
228
228
230
231
23 1
232
233
234
235
240
6.8.1 The Eigenvalues of A(') = LC Are Nondegenerate 242
6.8.2 The Eigenvalues of A'''= LC Are Degenerate 243
6.8.3 A Particular Case of Degeneracy: Lines with
Transverse Homogeneous Dielectric 245
Asymptotic Expressions for the Matrix Operators
A(s) and T,(s) 246
6.10 Evaluation of the Impulse Responses for Lossy
Multiconductor Lines with Frequency-In dependent
Parameters 247
6.10.1 Asymptotic Expressions for the Describing
248
6.10.2 Evaluation of the Principal Parts of the
250
6.10.3 An Application to a Three-Conductor Line 252
Functions P(s), Z,(s), and Y,(s)
Impulse Responses p ( t ) , z,(t), and y,(t)
xiv Contents
6.11 Evaluation of the Impulse Responses of Lossy
Multiconductor Lines with Frequency-Dependent
Parameters
6.11.1 Multiconductor Lines with Skin Effect
6.11.2 Application to a Three-Conductor Line
6.11.3 Per-Unit-Length Impedance and Admittance
Matrices with Arbitrary Frequency
Dependence
Chapter 7 Nonuniform Transmission Lines
7.1 Introduction
7.2 Equations for Nonuniform Lossless Transmission
Lines
7.2.1 The Dyson Series
Homogeneous Dielectric and Particular Profiles
of L(x)
7.3.1 Exponential Profile
7.3.2 Linear Profile
7.3.3 Gaussian Profile
7.3.4 General Solution of the Traveling Wave Type
7.4 Representation of Nonuniform Transmission Lines
7.3 Analytical Solutions for Lines with Transversally
as Two-Ports in the Laplace Domain
7.4.1 Terminal Behavior of the Line
7.4.2 The Input-State-Output Description and an
Equivalent Circuit of Thevenin Type
7.4.3 Input-Output Descriptions in Explicit Form
7.5 The Equivalent Circuit of Thevenin Type in the
Time Domain
254
254
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265
0
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273
2 74
277
279
280
283
284
285
7.5.1 Asymptotic Behavior of the Describing Functions 286
7.5.2 Impulse Responses 288
7.6 The Solution of the Line Equations for a Generic
Profile of L(x) and C(x)
7.6.1 Study of the Asymptotic Behavior of the
295
Contents
Solution Through the Liouville-Green
Transformation
6.2 Semianalytical Evaluation of Traveling R ave
Solutions Based on the WKB Method
Chapter 8 Transmission Line Equations in
Characteristic Form
8.1 Introduction
8.2 A First-order Wave Equation in Characteristic
Form and the Characteristic Curves
8.2.1 The Domain of Dependence of the Solution
8.2.3 The Transport of the Irregularities
Lines with Frequency Independent Parameters
8.3.1 The Domain of Dependence of the Solution
8.3.2 The Transport of the Discontinuities
8.3.3 The Riemann Variables
8.3 The Characteristic Form Equations for
8.4 The Characteristic Form Equations for Lines
8.5 Characteristic Equations for Multiconductor Lines
8.6 Stepwise Integration of the Transmission Line
with Frequency-Dependent Parameters
Equations in Characteristic Form
Chapter 9 Lumped Nonlinear Networks
Interconnected by Transmission Lines
9.1 Introduction
9.2 Time Domain Formulation of the Network
Equations
Two-Conductor Transmission Lines
9.3.1 An 111-Posed Problem
9.3 A Glimpse at the Uniqueness Problem for Ideal
xv
295
298
305
305
306
309
309
312
317
321
321
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329
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337
337
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341
344
9.3.2 A Circuit with an Additional Parasitic Reactance 345
9.4 A Glimpse at the Uniqueness Problem for
Imperfect Two-Conductor Transmission Lines:
Associated Resistive Circuit 349
xvi Contents
9.4.1 The Volterra Integral Equation of the Second
9.4.2 Uniqueness Condition for Imperfect Lines
9.4.3 A Circuit with an Additional Parasitic
Kind in Normal Form
Reactance
9.5 A Glimpse at the Numerical Solution for
Imperfect Two-Conductor Transmission Lines:
Associated Discrete Circuit
9.5.1 Effects of an Additional Parasitic Reactance
9.5.2 Numerical Solution of an 111-Posed Circuit
by Artificially Enforcing the Continuity of the
Terminal Voltage
9.6 Well-Posedness of the Network Equations
9.7 Numerical Solution of the Network Equations
9.8 Lumped Circuits Connected Through
Multiconductor Transmission Lines
9.8.1 Associated Resistive Circuit
9.8.2 Lines Connecting Resistive Multiports
9.8.3 Associated Discrete Circuit
Chapter 10 Qualitative Analysis of an Ideal
Two-Conductor Line Connected to Nonlinear Resistors:
Periodic Solutions, Bifurcations and Chaos
10.1 Introduction
10.2 State Equations in Normal Form for an Ideal
Two-Conductor Line Connected to Nonlinear
Resistors: Formulation in Terms of a Scalar Map
Un+l =flu,)
10.3 A Glimpse at the Scalar Maps
10.3.1 Stair-Step Diagrams
10.3.2 Linear Map
10.3.3 Affine Linear Map
10.3.4 Bounded Solutions and Stability
10.3.5 Steady-State Solution
10.4 Passivity, Eventual Passivity, and Local Passivity
349
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363
368
371
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372
375
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380
384
386
387
389
390
392
395
Contents xvii
10.5 Some General Properties of the Dynamics
10.5.1 Study of the Boundedness of the Solution
Through the Liapunov Function Method
10.5.2 Local Behavior of the Map u,+ = flu,)
10.5.3 Qualitative Behavior of the Solution for
Locally Passive Resistors
10.6 Qualitative Behavior of the Solution for Locally
Active Resistors: a Glimpse at the Bifurcations
10.6.1 Pitchfork Bifurcation of a Nonhyperbolic
Fixed Point
10.6.2 Period-Doubling Bifurcation of a
Nonhyperbolic Fixed Point
10.7 A Glimpse at the Behaviour of Noninvertible Maps:
Chaotic Dynamics
10.7.1 A Tent Map
10.7.2 The Lyapunov Exponent and Chaotic
Transients
10.7.3 A Unimodal Map
10.7.4 The Logistic Map
10.7.5 The Spatio-Temporal Chaos
10.8 Lossy Transmission Lines
Appendix A Some Useful Notes on the Matrix
Operators
A1 Preliminary Definitions
A2 The Eigenvalue Problem Au = Au
A3 The Generalized Eigenvalue Problem Au = ABu
A4 Function of a Matrix Operator
A5 Perturbation of a Matrix Operator: Asymptotic
Behavior of the Eigenvalues
Appendix B Some Useful Notes on the Laplace
Transformation
B1 General Considerations
B2 Asymptotic Behavior of the Object Function for t+cc
398
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404
407
408
410
410
416
418
424
429
429
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435
436
439
440
44 1
445
445
450
xviii Contents
Appendix C Some a-priori Estimates 453
C1 a-priori Estimates for the Solution of Equation (9.8)
C2 a-priori Estimates for the Solution of Equation (9.18)
453
454
Appendix D Tables of Equivalent Representations
of Transmission Lines 457
References 463
Index 471
Transmission Lines and Lumped Circuits.part1
ص
[ 本帖最后由 drjiachen 于 2008-12-24 10:20 编辑 ]
Transmission Lines and Lumped Circuits.part2-4
[ 本帖最后由 drjiachen 于 2008-12-24 10:21 编辑 ]
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Transmission Lines and Lumped Circuits.part1
感谢楼主分享
谢谢分享{:6_944:}
xiexie a!!!!!!!!!!!
XIEXIE LOUZU!!!!!
谢谢楼主{:7_1234:}
好书籍,谢谢无私奉献!
好书,多谢分享!!!!!!!!!!!!
走过路过别错过。谢谢分享!
回复 1# drjiachen 的帖子
好书一定要分享,支持楼主
感谢楼主!!
thank you very much
好书籍,谢谢无私奉献!
谢谢楼主的分享
谢谢楼主!好东西啊,多多益善啊!
自觉的回帖!
:49bb怎么下载呢?
谢谢 楼主辛苦了哈
是基础理论书之一!
:48bb
LZxinkule
謝謝樓主無私分享, thank you very much
{:7_1234:} {:7_1234:} {:7_1234:}
回复 drjiachen 的帖子
感谢楼主无私分享!
谢谢楼主,看看学习学习
谢谢楼主的无私奉献。
很好,很感谢
{:7_1234:}好书!!!!!
谢谢慷慨的楼主
真不错,好书。
下载下来看看!!好东西
Thanks for your sharing
Thanks a lot!
好书,顶一个
谢谢分享,应该不错的书籍
{:2_177:}
踏破铁鞋无觅处
下载完毕,赞一个
我要下载,for
回复 drjiachen 的帖子
thank you for your contribution!
thank you for your detailed information!
好书! 正是需要!
好书籍,谢谢无私奉献!
I'd like to read it.
很有用,谢谢
谢谢楼主的分享。。。。。
Thanks for sharing
学习一下!!!!
谢谢楼主了
很基础,很详细,但是很深奥很强大!
谢谢分享。
好想哦你高兴
zhege 真的谢谢楼主分享
很想看看这本书
谢谢分享!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
谢谢楼主分享
正需要这方面的资料,谢谢楼主。
学习微波,不错的资料
好书,,不得不顶
好书籍,谢谢无私奉献!
很不错的资料,谢谢
谢谢分享。LZ辛苦!
{:7_1234:}经典!!!!!
good book, thank you!
果然是好书{:7_1234:}
果然是好书{:7_1234:}
果然是好书{:7_1234:}
果然是好书{:7_1234:}
果然是好书{:7_1234:}
谢谢楼主分享。。。。。
谢谢分享
我也想要 !
Thanks!!!!
这书不错, 谢谢分享
hhhhhhhh好书
thanks very much
很好的书啊
回复 drjiachen 的帖子
看來是本很經典的好書
see the paper
谢谢楼主分享{:7_1235:}
{:7_1234:}{:7_1234:}
kkkkkkkkkkkkkkkkkkkkkkk
haoaaaaaaaaaaaaaaaa
很好的书籍,谢谢楼主
传输线确实是很重要的学习对象
不错,楼主很好
好东西啊,看一下,谢谢楼主
:55bb
{:7_1257:}{:7_1257:}{:7_1257:}
谢谢 学习了
太好了
想看这本书,谢谢楼主
我想絮儿下一下
这本书找了好久了,终于找到了{:7_1270:}
不错的资料
allan681 发表于 2008-12-23 21:44
这本书是新版吗?
在那里阿,欣赏一下。
{:7_1235:}不错,谢谢分享
感谢楼主分享
看介绍很不错
回复
good book!!
下来看看
书是非常不错
好书,谢谢!
Transmission Lines and Lumped Circuits (Electromagnetism
感谢楼主分享
好题 好书 好楼主
支持支持。
正想集中在看看Txline呢。
謝謝分享{:soso_e113:}
好东东,当然要恢复一下
不错的资料啊!!谢谢楼主
液化石油气液化石油气液化石油气液化石油气液化石油气
SDFGSDDS的风格的鬼地方花鼓歌
哎,连接找了半天。。。
让我看看~~~~···
很给力啊
{:7_1234:}
感谢版主分享!!!
好书,多谢!{:soso_e100:}
谢谢楼主啊,灰常喜欢
就看看
感谢楼主分享
微波器件与电路???
let me see
谢谢分享
* A unified approach for the analysis of networks composed of distributed and lumped circuits
谢谢楼主分享
感谢楼主分享
谢谢分享
好书籍,谢谢无私奉献!
谢谢楼主
Slot Line on a Dielectric Substrate
thanks for sharing
谢谢分享
堪舆ixa{:soso_e161:}
学习了,谢谢
Transmission Lines and Lumped Circuits
不错的书籍,谢谢共享,顶一个
GOOD~~
谢谢分享,顶一个.
感觉是挺好的书啊,多谢楼主
啥也不说了,楼主就是给力!
不错的书籍,谢谢共享,顶一个。
不错的书籍,谢谢共享,顶一个。
看看内容在做评价
很清晰,不错的一本书。
比较清晰,不错的一本书。
非常感谢分享
AP出版社的好书
不错的书,顶一个得
好书籍,谢谢无私奉献
好书,谢谢楼主发书
这个要好好的整下来看看如何
学习一下
thanks for sharing
下来看看,谢谢分享
看看这本书
thank you
好东西。
很好的资料
很好的资料参考
感謝分享~來看看!!!
很好的资料
好书,好人品!
very good and thank you very much
谢谢LZ无私分享这么好的书,真希望论坛多一些像LZ这样乐于分享和奉献的人,谢谢
好书,支持LZ,顶起来,让更多人能够学习到这么好的书
谢谢楼主提供!
Thanks