Search Results(13789)

2021-08-05
PIER C
Vol. 114, 129-142
Design of a Broadband Low-Profile Dual-Polarized Antenna for 5G Base Station
Wenkai Xu and Zhenhong Fan
In this paper, a novel low-profile and dual-polarized antenna is presented. The antenna is composed of two pairs of rhombic dipoles excited by two orthogonal baluns. The broadband characteristic is achieved by introducing a metal ring under the rhombic dipole, and the radiation pattern beam widths are also improved. Based on the antenna unit, a 2-element antenna array is designed, fabricated, and measured. The relative bandwidth (standing wave less than 1.5) of the antenna is 45.1%, and the port isolation is greater than 27 dB, whereas the cross-polarization level maintains lower than 16 dB in the the frequency band of 2.4-3.8 GHz. The measured results are in good agreement with the simulated ones. This proposed antenna also has low profile characteristics, and the profile height is 20.8 mm, which is less than one quarter of the wavelength (24.2 mm) of the central frequency point (f = 3.1 GHz).
DESIGN OF A BROADBAND LOW-PROFILE DUAL-POLARIZED ANTENNA FOR 5G BASE STATION
2021-08-04
PIER C
Vol. 114, 113-127
Simplified Dual-Frequency Wilkinson Power Divider with Enhanced Out-of-Band Performance for Millimeter-Wave Applications
Walid Zahra and Tarek Djerafi
A dual-band Wilkinson power divider covering comprehensive frequency ratios with improved Out-of-Band rejection is proposed with the use of only a resistor. In millimeter-wave range, the established lumped element based design with a wide range of frequency ratio suffers from the nonexistence of tiny required values and the difficulties of integrating them in the proposed designs. To tackle some of the more common millimeter-wave frequency bands challenges, the RLC is substituted in the design by transmission lines and a single resistor. The design parameters and rules are derived theoretically using even/odd mode analysis, and it takes into consideration the Out-of-Band performance. For validation, three different dual-frequency bands are studied (5.8-28 GHz, 20-35 GHz, and 28-35 GHz). The simulated and experimental results exhibit all the advantages of the proposed Wilkinson power divider, succeeding in boosting multi-functional and multi-standard RF and mm-wave front-ends for communication systems.
SIMPLIFIED DUAL-FREQUENCY WILKINSON POWER DIVIDER WITH ENHANCED OUT-OF-BAND PERFORMANCE FOR MILLIMETER-WAVE APPLICATIONS
2021-08-03
PIER Letters
Vol. 99, 93-101
A Compact and Reconfigurable Dual-Mode Configuration Substrate Integrated Waveguide Dual-Band Bandpass Filter for 5G and Millimeter-Wave Communications
Zahid Ahmad Bhat , Javaid Ahmad Sheikh , Sharief D. Khan , Ishfaq Bashir and Raqeebur Rehman
In this paper, a compact and reconfigurable rectangular substrate integrated waveguide structure dual-mode configuration based dual-band band-pass filter has been presented for 5G communication and milli-meter-waves. The dual-band bandpass filter is realized by utilizing the two pairs of dumbbell-shaped defected ground structure. The dumbbell-shaped defected ground structures etched on both the ground and the top side of the cavity have been used to produce transmission zeros, minimize the circuit size, and enhance the passband characteristics at a particular frequency of operations. In an effort to demonstrate the proposed dual-band substrate integrated waveguide band-pass filter, the proposed configuration has been designed and fabricated at the 28.3 GHz and 38.5 GHz frequency using low-cost PCB technique. The centre frequency of the second pass-band has been easily tuned using the geometrical parameters of the filter to achieve the desired applications in the 5G frequency band. Furthermore, the measured in-band return loss (rejection attenuation) of the two bands is approximately better than 26 dB and 28 dB respectively. The insertion loss of not more than 01 dB for both bands of the filter has been achieved. This dual-band filter operating at the licensed frequencies for the 5G spectrum bands renders this filter appropriate for numerous 5G and millimeter-wave communication applications.
A COMPACT AND RECONFIGURABLE DUAL-MODE CONFIGURATION SUBSTRATE INTEGRATED WAVEGUIDE DUAL-BAND BANDPASS FILTER FOR 5G AND MILLIMETER-WAVE COMMUNICATIONS
2021-08-03
PIER Letters
Vol. 99, 83-91
A Compact Dual-Band Flexible Antenna for Applications at 900 and 2450 MHz
Adnan Ghaffar , Wahaj Abbas Awan , Niamat Hussain , Sarosh Ahmad and Xue Jun Li
A dual band flexible antenna for applications at 900 and 2450 MHz is proposed in this paper. The antenna offers a compact size of 0.23λo × 0.120λo × 0.0007λo, where λo is the wavelength at the lower resonance. The antenna comprises a simple geometrical structure consisting of a W-shaped serpentine structure fed by a microstrip line, while a Defected Ground Structure (DGS) technique was utilized with a partial ground plane to achieve wide operational bandwidth. An additional capacitor was loaded in between the slots to achieve a higher resonance, thus resulting in a compact dual band antenna. Various performance parameters were analyzed, and results were compared with the measured ones. The antenna offers good performance in terms of size, bandwidth, gain, and radiation pattern and thus increases the potential of the proposed antenna for both rigid and flexible devices.
A COMPACT DUAL-BAND FLEXIBLE ANTENNA FOR APPLICATIONS AT 900 AND 2450 MHZ
2021-08-03
PIER
Vol. 171, 1-20
Non-Hermitian Electromagnetic Metasurfaces at Exceptional Points (Invited Review)
Zhipeng Li , Guangtao Cao , Chenhui Li , Shaohua Dong , Yan Deng , Xinke Liu , John S. Ho and Cheng-Wei Qiu
Exceptional points are spectral singularities in non-Hermitian systems at which two or more eigenvalues and their corresponding eigenvectors simultaneously coalesce. Originating from quantum theory, exceptional points have attracted significant attention in optics and photonics because their emergence in systems with nonconservative gain and loss elements can give rise to many counterintuitive phenomena. Metasurfaces - two-dimensional artificial electromagnetic materials structured at the subwavelength scale - can provide a versatile platform for exploring such non-Hermitian phenomena through the addition of dissipation and amplification within their unit cells. These concepts enable a wide range of exotic phenomena, including unidirectional propagation, adiabatic mode conversion, and ultrasensitive measurements, which can be harnessed for technological applications. In this article, we review the recent advances in exceptional-point and non-Hermitian metasurfaces. We introduce the basic theory of exceptional point and non-Hermiticity in metasurfaces, highlight important achievements and applications, and discuss the future opportunities of non-Hermitian metasurfaces from basic science to emerging technologies.
NON-HERMITIAN ELECTROMAGNETIC METASURFACES AT EXCEPTIONAL POINTS (INVITED REVIEW)
2021-08-03
PIER M
Vol. 104, 23-38
Fast Backfire Double Annealing Particle Swarm Optimization Algorithm for Parameter Identification of Permanent Magnet Synchronous Motor
Dingdou Wen , Chuandong Shi , Kaixian Liao , Jianhua Liu and Yang Zhang
When particle swarm optimization (PSO) is used to identify the parameters of permanent magnet synchronous motor (PMSM), the movement of particles is not selective, which makes the algorithm easy to fall into the local optimum, and the accuracy is poor. The simulated annealing particle swarm optimization (SAPSO) improves the accuracy and evolution speed, but SAPSO has redundant iteration problems. To solve these problems, a motor parameter identification method based on fast backfire double anneal particle swarm optimization (FBDAPSO) is proposed. By reducing the optimization time and quickly tempering and annealing the "misunderstood" difference, the motor adjustable model and fitness function are designed, and the number of iterations is constantly reset to achieve the effect of online identification. Under different working conditions, simulated and experimental results show that the proposed method can quickly and accurately identify the four parameters of the motor's stator, winding resistance, stator winding d-axis inductance, stator winding q-axis inductance and permanent magnet flux linkage at the same time, compared with the traditional method of parameter identification, and it has better accuracy, rapidity, and robustness.
FAST BACKFIRE DOUBLE ANNEALING PARTICLE SWARM OPTIMIZATION ALGORITHM FOR PARAMETER IDENTIFICATION OF PERMANENT MAGNET SYNCHRONOUS MOTOR
2021-08-02
PIER Letters
Vol. 99, 75-81
Cost-Effective Compact Dual-Band Patch Antenna Based on Ball Grid Array Packaging for 5G mmWave
Xiubo Liu , Wei Zhang , Dongning Hao and Yanyan Liu
In this letter, a compact dual-band patch antenna based on ball grid array (BGA) packaging for 5G mmWave is proposed. The patch antenna adopts a U-slot and a shorting pin to achieve dual-band operation of 28 GHz and 37 GHz. A single-layer FR4 substrate provides cost-effective features for the massive application. The BGA packaging not only reduces the size but also enables the antenna to be surface-mounted with other components in the same package, which improves the integration. The antenna has been fabricated and measured, and an acceptable agreement was obtained between the simulation and measurement results.
COST-EFFECTIVE COMPACT DUAL-BAND PATCH ANTENNA BASED ON BALL GRID ARRAY PACKAGING FOR 5G MMWAVE
2021-08-02
PIER Letters
Vol. 99, 65-74
Design and Optimization of CPW-Fed Broadband Circularly Polarized Antenna for Multiple Communication Systems
Qiang Fu , Quanyuan Feng and Hua Chen
A novel coplanar waveguide (CPW) fed wide slot antenna for broadband circular polarization (CP) operation is proposed in this letter. Utilizing an asymmetrical ground plane and an open slot, broadband axial ratio and good impedance characteristics can be obtained in the middle and low bands. The perturbation patch on the right side of the wide slot excites the upper-band CP mode. By adjusting the upper-part feedline and the wide slot structure, the axial ratio performance can be optimized to a wideband axial ratio bandwidth (ARBW). Compared with wide slot antennas of similar size, the proposed antenna has a simpler structure while achieving a wider ARBW. The proposed antenna has been fabricated and tested. The measured results show that the -10 dB impedance bandwidth (ZBW) is 2.40-7.55 GHz (103.5%); 3-dB ARBW is 2.47-6.2 GHz (86.0%); and the peak gain is about 4 dBic. Right-hand circular polarization (RHCP) radiation pattern is achieved in +z direction. The proposed antenna can be used in WLAN/WiMAX applications and various wireless communication systems which require broadband ZBW and ARBW.
DESIGN AND OPTIMIZATION OF CPW-FED BROADBAND CIRCULARLY POLARIZED ANTENNA FOR MULTIPLE COMMUNICATION SYSTEMS
2021-08-02
PIER B
Vol. 93, 67-85
Effect of Spatial Consistency Parameters on 5G Millimeter Wave Channel Characteristics
Abdelbasset Bedda Zekri , Riadh Ajgou and El-Hadi Meftah
This paper mainly deals with the channel diversity and the effect of spatial consistency parameters for different millimeter wave (mmWave) bands (28, 38 and 73 GHz) according to the channel parameters of the NYUSIM model. Statistical analyses are performed for various spatial consistency scenarios in an urban microcell (UMi) environment. Most of the recent analyses ignored the effect of adjusting the spatial consistency parameters on the 5G mmWave channel characteristics, including path loss (PL), received power, and path loss exponent (PLE). As a result, we have analyzed the effect of each parameter mentioned above for both directional power delay profile (DPDP) and omnidirectional power delay profile (OPDP). Numerical results illustrate how the characteristics of mmWave channels communication can be affected by changing the spatial consistency parameters.
EFFECT OF SPATIAL CONSISTENCY PARAMETERS ON 5G MILLIMETER WAVE CHANNEL CHARACTERISTICS
2021-08-02
PIER M
Vol. 104, 13-22
Analysis of Novel Eddy Current Damper for Multi-Ring Permanent Magnet Thrust Bearing
Dhruv Deshwal , Siddappa Iranna Bekinal and Mrityunjay Doddamani
This paper deals with analyzing a novel eddy current damper for an axially magnetized multi-ring permanent magnet thrust bearing (MPMTB). Initially, the bearing is optimized for maximum axial force by selecting three general parameters (air gap, outer diameter of stator, and length) using a generalized optimization procedure. Then, the axial force of an optimized bearing is validated with the mathematical model results. Finally, the novel and conventional eddy current dampers (ECDs) for an optimized MPMTB are analyzed for damping forces and coefficients using three-dimensional (3D) finite element transient analysis in ANSYS. Based on the analysis results, the proposed novel structure could be selected to replace the conventional one for providing damping to MPMTB effectively without affecting the radial air gap between the rotor and stator rings.
ANALYSIS OF NOVEL EDDY CURRENT DAMPER FOR MULTI-RING PERMANENT MAGNET THRUST BEARING
2021-08-01
PIER Letters
Vol. 99, 55-63
Low Divergence Angle OAM Fabry-Perot Antenna with Non-Uniform Superstrate
Hui-Fen Huang and Qi-Sheng Fan
This paper proposes two low divergence angle orbital angular momentum (OAM) Fabry-Perot (F-P) antennas with nonuniform superstrates. There are two steps to design the proposed two F-P antennas. First, two primary array antennas (a slot array antenna and a patch array antenna) are designed. Both antennas can generate OAM vortex beams with a mode of -1. Second, two F-P resonator cavity antennas are formed by loading a nonuniform partially reflective surfaces (PRS) superstrates above the two primary antennas in order to increase the antenna gain and reduce the divergence angle. The PRS is designed non-uniform for increasing the aperture efficiency. The measured results indicate that the F-P OAM antennas can obviously improve the performance of primary OAM antennas: (1) for the slot array antenna, the divergence angle reduces from 27° to 18°, and the maximum gain increases from 5.2 dBi to 7.5 dBi; (2) for the patch array antenna, the divergence angle decreases from 30° to 18°, and the peak gain increases from 3.4 dBi to 7.2 dBi.
LOW DIVERGENCE ANGLE OAM FABRY-PEROT ANTENNA WITH NON-UNIFORM SUPERSTRATE
2021-07-29
PIER C
Vol. 114, 97-112
Multi-Objective Optimal Design of the MFW-IPM Machine for Improve Flux-Weakening Ability
Xiping Liu , Gaosheng Guo , Wenjian Zhu and Longxin Du
In this paper, a novel mechanical-flux-weakening interior permanent magnet (MFW-IPM) machine is proposed to improve flux-weakening ability. The key of the proposed machine is that the permanent magnet is rotatable, and a mechanical device is equipped on both sides of the rotor. The mechanical device can regulate the air-gap magnetic field by rotating PM to change the leakage flux and magnetization direction of PM. As a result, the flux-weakening ability is improved. The flux-weakening principle of the MFW-IPM machine is investigated in detail. In addition, a multi-objective optimization method is adopted to improve the performance of the proposed machine. Then, the electromagnetic performances of the original machine and optimized machine are compared by finite element analysis. Finally, both simulation results and experimental tests verify the effectiveness of the flux-weakening enhancement design and optimization method.
MULTI-OBJECTIVE OPTIMAL DESIGN OF THE MFW-IPM MACHINE FOR IMPROVE FLUX-WEAKENING ABILITY
2021-07-28
PIER B
Vol. 92, 193-211
Efficacy of an S-Shaped Air Inlet on the Reduction of Front Bistatic Radar Cross Section of a Fighter Engine
Shen Shou Max Chung and Shih-Chung Tuan
The engine of a fighter plane is one of the largest scattering centers of the entire aircraft. One possible way of reducing the radar cross section (RCS) of the engine is to use an S-shaped bending air inlet to avoid direct radar wave illumination and reflection. We evaluate the efficacy of an S-shaped air inlet on RCS reduction by simulating the boresight and ±15˚ bistatic RCS for a digital model of an engine located behind an S-shaped inlet, using a multi-level fast multipole method (MLFMM) code in the S and X bands. The results show that a curved S-type air inlet can reduce the engine boresight bistatic RCS by ~10-12 dBsm at 3 GHz, and ~16 dBsm at 10 GHz when radar wave is incident from boresight, but not to the level required by RF stealth standards. When the radar waves are incident from θ=105˚ φ=90˚ or θ=90˚ φ=345˚, the RCS reduction is less effective, which is the results of the bend direction of the S-type air inlet.
EFFICACY OF AN S-SHAPED AIR INLET ON THE REDUCTION OF FRONT BISTATIC RADAR CROSS SECTION OF A FIGHTER ENGINE
2021-07-28
PIER C
Vol. 114, 83-96
Partial Electrical Equivalent Circuits and Finite Difference Methods Coupling; Application to Eddy Currents Calculation for Conductive and Magnetic Thin Plates
Saida Djemoui , Hicham Allag , Mohammed Chebout and Houssem Rafik El-Hana Bouchekara
This paper presents a new integro-differential coupling between partial equivalent electrical circuits (PEEC) and finite difference method (FDM) taking into account the magnetization effect. This coupling is intended for thin plates having simultaneously significant conductive and magnetic properties in presence of exciting coils of complex topologies. These cases exist in eddy current nondestructive testing (ECNDT), eddy current separation, induction or levitation melting devices and more other applications. The choice of FDM, is in relation with rectangular surfaces generated by numerical meshes leading to mathematical integrations of magnetic and electrical quantities with independent variables, unlike more complicated forms of surfaces generated by finite element method (FEM) or others. Fully successful analytical expressions have been realized and implemented in overall coupling process. The PEEC method is mainly used to calculate the magnetic field applied to the nodes of the plate from different inclined polygonal coils. The results of magnetic field and eddy current distributions on thin plates are presented, and parts of them are compared with those realized by Flux 3D software.
PARTIAL ELECTRICAL EQUIVALENT CIRCUITS AND FINITE DIFFERENCE METHODS COUPLING; APPLICATION TO EDDY CURRENTS CALCULATION FOR CONDUCTIVE AND MAGNETIC THIN PLATES
2021-07-28
PIER M
Vol. 104, 1-12
A Multidirectional Triple-Band Rectenna for Outdoor RF Energy Harvesting from GSM900/GSM1800/UMTS2100 Toward Self-Powered IoT Devices
Minh Thuy Le , Quang Chung Tran , Anh Tuan Le and Dinh Minh
Due to low power density, it is difficult for a single-band rectenna to harvest enough power for IoT devices like wireless sensors. Thus to supply these consuming devices, harvesting RF energy from multiple frequencies is a solution to enhance the amount of harvested DC power. In this work, we introduce a triple-band rectenna, working at 900 MHz, 1.8 GHz and 2.1 GHz, three readily available bands in the ambience, for energy harvesting application. The proposed rectenna consists of three monoband rectifiers connected to a multi-band receiving antenna via a highly efficient triplexer. The antenna is made by superposing two concentric rings and manipulating their radii to achieve the desirable operating frequencies, with antenna gains of respectively 2.5 dBi, 4.5 dBi, and 4 dBi. The contiguous triplexer is made by connecting open stubs band-reject filters and optimizing their positions, resulting in the triplexing efficiency higher than 75%. The measured RF-DC efficiency under -10 dBm triple-tone input power is 40%.
A MULTIDIRECTIONAL TRIPLE-BAND RECTENNA FOR OUTDOOR RF ENERGY HARVESTING FROM GSM900/GSM1800/UMTS2100 TOWARD SELF-POWERED IOT DEVICES
2021-07-24
PIER B
Vol. 93, 47-65
Salt Water Exposure Effects on Single-Layer, Unidirectional Carbon-Fiber Reinforced Polymer Circuit Analog Absorbers
Joseph C. O'Donnell and Ram M. Narayanan
This paper explores the effects of extended exposure to salt water fog on the microwave absorption properties of unidirectional carbon-fiber reinforced polymer (CFRP) circuit analog absorbers (CAA). Single-layer CFRP CAAs were fabricated using a wet-layup technique and were then subjected to a controlled salt water fog chamber following B117 standards. A total of ten samples using 305 g/m2 areal-weight unidirectional CFRP were fabricated. Three samples were withdrawn from the salt water environment at ten-day intervals and tested, with the final samples being withdrawn after 30 days. The mass of each sample was measured immediately after removal to measure mass-accumulation and after a five-day interval to measure mass-loss. A free-space microwave reflection measurement system was implemented to track and quantify changes to the absorption capabilities of the CAA. A physically-based electromagnetic model was developed to characterize the changes caused by salt water absorption, and good agreement was observed with measured data.
SALT WATER EXPOSURE EFFECTS ON SINGLE-LAYER, UNIDIRECTIONAL CARBON-FIBER REINFORCED POLYMER CIRCUIT ANALOG ABSORBERS
2021-07-22
PIER M
Vol. 103, 209-219
Zero-Forcing Beamforming Energy Efficiency Optimization for the Security Control of Wireless Power Transfer System
Zhimeng Xu , Jinyu Chen , Fenli Qiu and Yisheng Zhao
This paper proposes a zero-forcing beamforming design for the energy efficiency optimization of the magnetic resonance based wireless power transfer system with multiple transmitter coils, which aims to secure energy transfer control. A scheme based on beamforming technology is proposed to prevent unauthorized users from accessing the system, which builds a beamforming model consisting of multiple transmitter coils, a target receiver, and a non-target receiver to simulate the actual system. Then to optimize the proposed system's energy efficiency while constraining the target receiver's energy, spectral efficiency, and transmitter's power, the proposed beamforming model is constructed as an optimization problem. To solve this non-convex nonlinear fractional programming problem, the Dinkelbach algorithm is used for fractional conversion, and then the zero-forcing constraints are equivalently replaced. Finally, two solutions of the nonlinear solution and closed-form solution are derived. The simulation results show that the energy efficiency optimization strategies of zero-forcing beamforming with the two derived solutions can satisfy the design requirements.
ZERO-FORCING BEAMFORMING ENERGY EFFICIENCY OPTIMIZATION FOR THE SECURITY CONTROL OF WIRELESS POWER TRANSFER SYSTEM
2021-07-22
PIER M
Vol. 103, 197-207
Dual-Element Multiple-Input-Multiple-Output System for Sub-6 GHz (5G) and WLAN Applications with Enhanced Isolation
Anupa Chatterjee , Manas Midya , Laxmi Prasad Mishra and Monojit Mitra
A dual-band two port MIMO antenna with very high isolation is proposed for 5G/WLAN application. The overall size of the MIMO antenna is (18 × 44× 0.8) mm3. The unequal arm of the Inverted-F Antenna (IFA) is the reason for the dual bands. Bending and extending one of the arms with the staircase shape is responsible for the proposed dual-bands having resonant frequency at 3.45 GHz (3.3 GHz-3.65 GHz) and 5.1 GHz (4.8 GHz-5.5 GHz) respectively with percentage impedance bandwidth of 10% and 13.6% respectively. The proposed antenna uses a simple decoupling structure based on a wide inverted T-shaped slot to achieve good isolation (better than 18 dB and 34 dB respectively for the dual-bands) between the ports. The envelope correlation coefficient (ECC) and channel capacity loss (CCL) are within the acceptable limits.
DUAL-ELEMENT MULTIPLE-INPUT-MULTIPLE-OUTPUT SYSTEM FOR SUB-6 GHZ (5G) AND WLAN APPLICATIONS WITH ENHANCED ISOLATION
2021-07-21
PIER Letters
Vol. 99, 45-53
An Artificial Dielectric Material to Enhance Patch Antenna Gain
Yangjun Zhang and Yoshikazu Fujita
Artificial material has the feature to realize a controllable effective permittivity, which leads to many potential applications in the RF and optical fields. In this study, an artificial material is proposed for a Resonant Cavity antenna (RCA) to enhance the gain of patch antenna. The artificial material is made of a lot of circular conducting patches in a uniform size hosted in an FR-4 substrate. The fabricated artificial material is in a square shape with a length and width of 52 mm × 52 mm and a thickness of 1.2 mm. The artificial material is set in front of a patch antenna to construct an RCA, and the gain property of the proposed RCA is evaluated with the simulation and measurement methods. The results by both the simulation and measurement methods prove that the gain is enhanced by the proposed artificial material. The maximum gains are 14.5 dBi in simulation and 12.8 dBi in measurement at 15 GHz for the RCA with on slab of the artificial material. The gain is improved compared to the gain of a patch antenna without the artificial material.
AN ARTIFICIAL DIELECTRIC MATERIAL TO ENHANCE PATCH ANTENNA GAIN
2021-07-21
PIER C
Vol. 114, 69-82
Multilayer Grid Polarizers: Simulations for Millimeter Waves
Vladimir Borisovich Yurchenko , Mehmet Ciydem , Marcin Gradziel and Sencer Koc
Multilayer grid polarizers for millimeter waves produced with photolithographic technology have been simulated. Polarizers have spectral bands of enhanced performance where polarization extinction ratio in decibels grows in proportion to the number of layers. Full-wave modeling is compared with three asymptotic models for subwavelength gratings using adjusted grating parameters. Random variations of interlayer spacings reduce the enhancement of polarizing performance, yet the latter continues to grow in proportion to the number of layers. Broadband signal detection is also considered.
MULTILAYER GRID POLARIZERS: SIMULATIONS FOR MILLIMETER WAVES