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##### ES 151 - Harvard Study Resources
• Harvard
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• 2 Pages
###### Hw408

School: Harvard

ES 151 Assignment #4 Instructor: Donhee Ham Date: February 28, 2008 Due: 10:00am, March 6th, 2008. Problem 1 (10pt) Two dielectric media with dielectric constants K1 and K2 are separated by a plane interface. There is no external charge on the inter

• 8 Pages
###### Waveguides

School: Harvard

Guided Wave Formulation of Maxwell's Equations I. General Theory: Recapitulation - frequency domain formulation of the macroscopic Maxwel l equations in a source-free region: r r r r curl E(r, ) = j H(r , ) [ I-1a ] r r r r curl H( r, ) = + j E( r,

• 25 Pages
###### Transmission_lines_1

School: Harvard

TRANSMISSION LINE THEORY I. The Transmission Line Model: Consider the following repeating (uniform) sequence of "lumped" circuit elements: Applying elementary circuit analysis to each node of such a "discrete" transmission line we may write a set of

• 16 Pages
###### Paraxial_solutions

School: Harvard

THE PARAXIAL WAVE EQUATION GAUSSIAN BEAMS IN UNIFORM MEDIA : In point-to-point communication, we may think of the electromagnetic field as propagating in a kind of "searchlight" mode - i.e. a beam of finite width that propagates in some particular di

• 11 Pages
###### Basic_antenna_theory

School: Harvard

A N INTRODUCTION TO A NTENNA THEORY: RADIATION FROM A HERTZIAN DIPOLE The general "radiation" or "antenna" problem comes down to the task of finding the electromagnetic field associated with or derived from a given or known current distribution. Obse

• 20 Pages
###### Signals_and_channels

School: Harvard

SIGNALS AND CHANNELS I. GENERAL COMMENTS ON COMMUNICATION P ROCESSES : As a first cut in the study of any particular communication process it is useful to examine the diagrammatic representation of that process (a representation which may be attribut

• 13 Pages
###### Transmission_lines_2

School: Harvard

PULSE PROPAGATION ON A DISPERSIVE TRANSMISSION LINE I. P RELIMINARIES - A R EVIEW OF S OME B ASIC CONCEPTS AND METHODS : Let us consider the propagation of a typical signaling voltage pulse V( z, t) along a transmission line. At some particular posit

• 15 Pages
###### Eikonal_treatment

School: Harvard

RAYS: THE EIKONAL TREATMENT OF GEOMETRIC OPTICS Since ancient times, the notion of ray or beam propagation has been one of the most enduring and fundamental concepts in physics. As a zeroth order approximation we might consider a plane wave to be a m

• 20 Pages
###### Fourier_optics

School: Harvard

FOURIER OPTICS I. THE DIFFRACTION INTEGRAL: It may be fairly said that "it is well known" that plane waves are solutions of the homogeneous Helmholz equation.1 Thus, by a generalization of the Fourier theorem, we expect to be able to write a general

• 6 Pages

School: Harvard

ELECTROMAGNETIC RADIATION - THE BASICS A RESTATEMENT OF MACROSCOPIC MAXWELL ' S EQUATIONS IN THE F REQUENCY DOMAIN - V ALID FOR LINEAR , L OCAL , A NISOTROPIC MEDIA IN THE O PTICAL R EGIME . r r r r t r r r r r r r E( r , ) = 1 (r , ) D( r, ) =

• 19 Pages
###### Planewave_solutions

School: Harvard

PLANE WAVE SOLUTIONS OF MAXWELL' S EQUATIONS I. CHARACTERISTICS OF P LANE WAVE SOLUTIONS : For the record, let us once again restate the form of the macroscopic Maxwell's equations in the time domain which is valid in the high frequency or optical re

• 4 Pages
###### Lab_assign_1_98

School: Harvard

Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 1 Fall Term 1998-99 MODULATION AND D EMODULATION OBJECTIVES: To gain some experience with information encoding schemes and to explore the spectral characteristics of typic

• 3 Pages
###### Hw508

School: Harvard

ES 151 Assignment #5 Instructor: Donhee Ham Date: March 6, 2008 Due: 10:00am, March 13, 2008. Problem 1 (30pt) (a) The Helmholtz coil pair consists of two parallel, coaxial loops, and can provide a region of relatively uniform elds; the uniform-eld

• 2 Pages
###### Hw308

School: Harvard

ES 151 Assignment #3 Instructor: Donhee Ham Date: February 21st, 2008 Due: 10:00am, February 28th, 2008. Problem 1 (40pt) Consider two concentric spherical conductors with air between them. The inner conductor of radius a is at potential V0 and has

• 7 Pages
###### Transmission_lines_3

School: Harvard

Consider a lossless transmission with wavenumber ( ) and characteristic impedance Zc ( ) which is periodically loaded with a shunt admittance Y ( ) . m-1 m m+1 Y() Y() Y() From transmission line theory, we know that we can write the s

• 5 Pages
###### Lab_assign_3_98

School: Harvard

Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 3 Fall Term 1998-99 WAVE P ROPAGATION II: HIGH F REQUENCY SLOTTED L INE AND REFLECTOMETER MEASUREMENTS OBJECTIVES: To build greater familiarity with transmission line conc

• 3 Pages
###### Lab_assign_2_97

School: Harvard

Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 2 Fall Term 1997-98 WAVE P ROPAGATION I: C HARACTERISTICS OF D ISCRETE AND CONTINUOUS E LEMENT T RANSMISSION L INES OBJECTIVES: To expand familiarity with transmission lin

• 9 Pages
• ###### electromagnetic_properties
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###### Electromagnetic_properties

School: Harvard

ELECTROMAGNETIC PROPERTIES OF MATTER I. DYNAMICS OF BOUND CHARGES - MODELING DIELECTRIC B EHAVIOR : Consider the electrically induced distortion or polarization of some typical neutral and isolated "molecular" configuration1- viz. - 6 - Applied e

• 7 Pages
###### Lab_assign_4_98

School: Harvard

Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 4 Fall Term 1997-98 OBJECTIVES: To build familiarity with interference phenomena and interferometric measurement techniques; to use a Mach-Zehnder interferometer to measur

• 10 Pages
###### Lab_assign_5_98

School: Harvard

Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 5 Fall Term 1998-99 ELECTROMAGNETIC RADIATION CHARACTERISTICS Microwave Antenna Measurements OBJECTIVE: To study the radiation patterns and other characteristics of a vari

• 6 Pages
###### Antenna_receiving

School: Harvard

RECEIVING A NTENNA CHARACTERISTICS To understand the characteristics and evaluate the performance of receiving antennas in general, consider the following analysis of a particular model - viz. the filamentary (wire) structure illustrated below which

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