We aren't endorsed by this school 
Harvard  ES 151

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

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 sourcefree region: r r r r curl E(r, ) = j H(r , ) [ I1a ] r r r r curl H( r, ) = + j E( r,

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

Paraxial_solutions
School: Harvard
THE PARAXIAL WAVE EQUATION GAUSSIAN BEAMS IN UNIFORM MEDIA : In pointtopoint 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

Antenna_general_formulation
School: Harvard
A NTENNAS: A GENERAL FORMULATION IN FARFIELD I. THE F ORMULATION: In general, the fields radiated by an antenna can be obtained by evaluating the previously discussed general formula for the (magnetic) vector field  viz. rr r r v r J( r , ) exp[ j

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

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

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

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

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

Radiation_basics
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, ) =

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

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 uniformeld

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

Transmission_lines_3
School: Harvard
Consider a lossless transmission with wavenumber ( ) and characteristic impedance Zc ( ) which is periodically loaded with a shunt admittance Y ( ) . m1 m m+1 Y() Y() Y() From transmission line theory, we know that we can write the s

Lab_assign_3_98
School: Harvard
Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 3 Fall Term 199899 WAVE P ROPAGATION II: HIGH F REQUENCY SLOTTED L INE AND REFLECTOMETER MEASUREMENTS OBJECTIVES: To build greater familiarity with transmission line conc

Lab_assign_2_97
School: Harvard
Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 2 Fall Term 199798 WAVE P ROPAGATION I: C HARACTERISTICS OF D ISCRETE AND CONTINUOUS E LEMENT T RANSMISSION L INES OBJECTIVES: To expand familiarity with transmission lin

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

Lab_assign_4_98
School: Harvard
Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 4 Fall Term 199798 OBJECTIVES: To build familiarity with interference phenomena and interferometric measurement techniques; to use a MachZehnder interferometer to measur

Lab_assign_5_98
School: Harvard
Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 5 Fall Term 199899 ELECTROMAGNETIC RADIATION CHARACTERISTICS Microwave Antenna Measurements OBJECTIVE: To study the radiation patterns and other characteristics of a vari

Lab_assign_1_98
School: Harvard
Engineering Sciences 151 Electromagnetic Communication Laboratory Assignment 1 Fall Term 199899 MODULATION AND D EMODULATION OBJECTIVES: To gain some experience with information encoding schemes and to explore the spectral characteristics of typic

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