Dimplementationofmaxwell’s Equationsin Matlabtostudythe Effect Of Absorption Using Pml

1-D Implementation of Maxwell’s Equations in MATLAB to Study the Effect of Absorption Using PML . Pranav K Shrivastava,Vikas Rathi, Hemant S Pokhariya Graphic Era Unversity ,Dehradun e-mail:{pranav.shantikunj,vikas.rth}@gmil.com . . Abstract: The Finite Difference Time Domain method   (FDTD)     uses     centre-difference representations   of   the   continuous   partial The 3D source free( J =0) Mxwell’s curl equations[5]  a homogeneous medium are: . ∂Ez − ∂Ey = −µ ∂Hx ∂y differential equations to create iterative numerical  dH  ∂Ex ∂z ∂Ez ∂t ∂Hy models of wave propagation. First we study the ∇×E = −µ → ∂z   − ∂x   = −µ ∂t propagation behavior of the wave in single dt  ∂Ey ∂Ex ∂Hz dimension without PML and in second part we study the absorption using PML for the same wave  ∂x   − ∂y = −µ ∂t using MATLAB environment. . I. INTRODUCTION . Finite-difference  time-domain  (FDTD)  is  a  popular computational electrodynamics modeling technique. Since it is a . ∇ × H = ε  ∂Hz d E      ∂Hx dt    ∂Hy →   ∂y ∂z  ∂x ∂Hy −   ∂z    = ε ∂Hz = −    ∂t  ε ∂Hx −   ∂y    = ε ∂Ex ∂t ∂Ey ∂t ∂Ez ∂t time-domain method, solutions can cover a wide frequency range with a single simulation run. ∂Ex   = −µ ∂Hy ∂z  ∂t ∂Hy   = −ε ∂Ex The FDTD method belongs in the general class of grid-based differential time-domain numerical modeling methods. The time- dependent Maxwell’s equations (in partial differential form) are discretized using central-difference approximations to the space and time partial   derivatives. The resulting finite-difference equations are solved in either software or hardware in a leapfrog manner: the electric field vector components in a volume of space are solved at a given instant in time; then the magnetic field vector components in the same spatial volume are solved at the next instant in time; and the process is...

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UNIT III DIMENSIONAL ANALYSIS . . . . UNIT III DIMENSIONAL ANALYSIS . The basic concepts and procedures for dimensional analysis were developed by hydraulic engineers to determine the performances of a prototype (a full-scale structure) from the data obtained by tests on a model ( a reduced-scale structure). Here we present the general method of dimensional analysis and illustrates its application to various problems of fluid machines. Some of the important principles of similarity and use of dimensionless numbers in model analysis are also studied. . . SYSTEM OF DIMENSIONS: Dimensions refer to the qualitative characteristics for physical quantities, while units are standards of comparison for quantitative measure of dimensions. The most common systems of dimensioning a physical quantity and the Mass-length-time and the Force-length-time systems referred to as the MLT and FLT systems of units. There is no direct relationship between the quantities length L, mass M and time T. These independent quantities are called fundamental quantities. In compressible fluids, one more dimension namely temperature θ is also taken as the fundamental dimension. All other quantities such as pressure, velocity and energy etc. are expressed in terms of these fundamental quantities and are called derived or secondary quantities. For example F=MLT−2:M=FT2L−1 . . Physical quantity Symbol Dimensions M-L-T System F-L-T System *Fundamental quantities . . . Mass M M FL-1T2 Length L L L Time T T T Force F MLT-2 F *Geometric quantities . . . Area A L2 L2 Volume V L3 L3 *Kinematic quantities . . . Linear velocity u,V,U LT-1 LT-1 Angular velocity ω T-1 T-1 Acceleration a LT-2 LT-2 Discharge Q,q L3 T-1 L3 T-1 Gravity g LT-2 LT-2 Kinematic viscosity ν L2 T-1 L2 T-1 *Dynamic quantities . . . Density ρ ML-3 FL-4T2 Specific Weight w ML-2T-2 FL-3 Surface tension σ...

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Developmental Task

Patients Data Name of Patient: Peach Twinkle T. Abundo Age: 1 ½ Sex: Female Address: Calatagan Virac, Catanduanes Religion: Roman Catholic Medical Data: Date of Admission: September 17. 2011 Time of Admission: 12:25 PM Hospital Number: 557 Attending Physician: Dr. Louie Panti Chief Complaint: Vomiting Diagnosis: Pneumonia, Intestinal Parasitism Health History Present Health History Peach Twinkle T. Abundo, 1 ½ years old, female from Calatagan Virac, Catanduanes was admitted at EBMC on September 17, 2011 at 12:25 PM with a chief complaint of vomiting. Upon admission baby Peach Twinkle T. Abundo is conscious and coherent. Her CR is 101 bpm, RR is 25 bpm and T of 37.1˚ C. She weighs 8 kg. Upon auscultation fine crackles is noted. Cough and colds are present. She also vomits and her mother claimed that there is a change in her bowel habit. Dr. Panti, as an Attending Physician, requested for laboratory examinations such as CBC and Stool Examination. The result of the Hematology revealed an increased in WBC counts therefore the patient have an infection. Past Health History   The patient is born through CS. Her feeding is composed of breastmilk and also formula milk. Her immunization is complete. The patient don’t have any past confinement after she was born. . . . . Developmental Task  Autonomy vs. Shame & Doubt is Erikson’s second developmental stage, as the child gains control over eliminative functions and motor abilities, they begin to explore their surroundings. The parents still provide a strong base of security from which the child can venture out to assert their will. The parents’ patience and encouragement helps foster autonomy in the child. Children at this age like to explore the world around them and they are constantly learning about their environment. Caution must be taken at this age while children may...

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Deleciones Y Duplicaciones 15q11-q13

DELECIONES Y DUPLICACIONES 15q11-q13 DELECIONES Y DUPLICACIONES 15q11-q13 . En los últimos años ha despertado gran interés en el estudio del autismo la región 15q11-q13. Se supone que esta región está implicada en el 1-4% de los casos de autismo [1,2], con lo cual se convierte en una de las causas genéticas identificadas más frecuentes. En esta región se pueden distinguir tres situaciones distintas asociadas a autismo: síndrome de Prader-Willi (SPW) con autismo, síndrome de Angelman (SA) con autismo y duplicación 15q-q13 con autismo. . . . . . . . . . . . SÍNDROME DE PRADER-WILLI SÍNDROME DE PRADER-WILLI El SPW se genera por una falta de expresión de 15q11-q13 de origen paterno. Hay que decir que la expresión de 15q11-q13 es distinta en el alelo paterno y en el alelo materno; por ello, según deje de expresarse uno u otro, aparecerá el SPW (falta de expresión de 15q11-q13 de origen paterno) o el SA (falta de expresión de 15q11-q13 de origen materno). En el SPW, la desactivación de los genes de esta zona puede tener tres orígenes distintos: (1) mutación del gen de origen paterno, (2) disomía uniparental (DUP) de origen materno, y (3) mutación de la impronta. Esta región se regula de acuerdo con el mecanismo de la impronta. La impronta es el mecanismo (metilación) por el cual ciertos genes, o grupos de genes, son modificados de forma distinta según sean heredados del padre o de la madre, por ello se expresa de forma distinta el alelo paterno o materno. Por lo tanto, si existe una deleción en el alelo procedente del padre, la zona borrada, no puede ser compensada por el alelo materno a causa de su impronta. Si existe una disomía uniparental de origen materno, ambos alelos llevan la impronta materna, por este motivo,...

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