MFV3D Book Archive > Microwaves > Download Mathematical modeling in optical science by Gang Bao; Lawrence Cowsar; Wen Masters PDF

Download Mathematical modeling in optical science by Gang Bao; Lawrence Cowsar; Wen Masters PDF

By Gang Bao; Lawrence Cowsar; Wen Masters

Show description

Read or Download Mathematical modeling in optical science PDF

Similar microwaves books

Pedregal Introduction to Optimization

This undergraduate textbook introduces scholars of technological know-how and engineering to the interesting box of optimization. it's a detailed publication that brings jointly the subfields of mathematical programming, variational calculus, and optimum regulate, therefore giving scholars an total view of all facets of optimization in one reference.

Advanced Materials and Technologies for Micro Nano-Devices, Sensors and Actuators

The most target of this booklet is to check contemporary growth and present prestige of MEMS/NEMS applied sciences and units. a number of vital components are mentioned: historical past of study within the box, equipment physics, examples of sucessful purposes, sensors, fabrics and processing facets. The authors who've contributed to the publication symbolize a various workforce of best scientists from educational, commercial and governmental labs around the world who carry a vast array of backgrounds comparable to gadget physics, technologists, electric and mechanical engineering, floor chemistry and fabrics science).

Design of Microwave Active Devices

This booklet offers tools for the layout of the most microwave lively units. the 1st bankruptcy makes a speciality of amplifiers operating within the linear mode. The authors current the issues surrounding narrowband and wideband impedance matching, balance, polarization and the noise issue, in addition to particular topologies akin to the allotted amplifier and the differential amplifier.

Additional info for Mathematical modeling in optical science

Sample text

Keywords Electromagnetic fields mathematical modeling Resonator Waveguide Homogeneous medium Boundary conditions Surface interface Á Á Á Á In this chapter, mathematical analysis of electromagnetic fields in rectangular dielectric resonator antenna (RDRA) has been introduced. The investigations are based on first applying waveguide theory, then converting it to resonator by replacing Àc to d/dz. , exp(−γz). , the transverse coordinates). Waveguide models of four different rectangular DRAs with specified boundary conditions with homogeneous material having linear permittivity have been mathematically modeled.

Now, rewriting Hz and Ez Hz ¼  mpx npyo Xn C mn cos cos e Àjkz z a b m;n ð2:42Þ Ez ¼  mpx npyo Xn Dmn sin sin e Àjkz z a b m;n ð2:43Þ Here, Cmn and Dmn are the coefficients of Fourier cosine and sine series. cm;n ¼ qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi h2m;n À x2 le Hence, C mn and Dmn gives us relative amplitudes and phase. Hence, we get solution of possible amplitudes and phase of wave propagating through rectangular waveguide called as modes of propagation. 1. The MATLAB programs are being developed for modes graphical view.

1. Given top and bottom surfaces of RDRA as PMC at z ¼ 0; d; )nÂH ¼0 n Á E ¼ 0; Hy ¼ Hx ¼ 0; Ez ¼ 0; Rest of the other four walls are PEC. n  E ¼ 0; n Á H ¼ 0; x ¼ 0; a; Ey ¼ Ez ¼ 0; Hx ¼ 0; Fig. 2 Rectangular DRA Mathematical Modeling 37 At, y ¼ 0; b; Ex ¼ Ez ¼ 0; Hy ¼ 0; From separation of variables (Refer Chap. 2), @Hz 1 @ 2 Ez   Ex ¼ À 2 jxl @z@x @y jx 1 þ kc2 1 ! 1 @ 2 Ez @Hz   À Ey ¼ À 2 jxl @z@y @x jx 1 þ kc2 1 À1 @Ez 1 @ 2 Hz   À Hx ¼ 2 @y jx @z@x jxl 1 þ kc2 À1 1 @ 2 Hz @Ez   À Hy ¼ 2 jxl 1 þ kc2 jx @z@y @x ð3:1Þ !

Download PDF sample

Rated 4.56 of 5 – based on 24 votes