Physics based RS algorithms for water quality parameters: Status and challenges. ZhongPing Lee

Size: px
Start display at page:

Download "Physics based RS algorithms for water quality parameters: Status and challenges. ZhongPing Lee"

Transcription

1 Physics sed RS lgorithms for wter qulity prmeters: Sttus nd chllenges ZhongPing Lee Environmentl, Erth nd Ocen Sciences University of Msschusetts, Boston, MA EEOS UMssB Opticl Ocenogrphy L NASA Workshop for Remote Sensing of Costl & Inlnd Wter, June 20 22, 2012

2 Wter Qulity Prmeters WQPs: Physicl: SST, Turidity, Clrity, IOPs Geologicl : SPM TSM, TSS, POM, PIM Biologicl: Phytoplnkton chlorophyll, phycocynin,, virus, cteri Chemicl: ph, CDOM, hevy metls, pesticides, O 2, nutrients Cn these e sensed pssively?

3 ocen wter color

4 Quntify wter color rdince spectrum L w E d Remote sensing reflectnce sr 1 : L u 0 - E d 0 - R rs Lw,0 E,0 d r rs L E u d 0 0

5 The spectrl form of wter ocen color MERIS R rs [sr -1 ] MODIS SeWiFS Wvelength [nm] R rs WQPs CZCS

6 Algorithms for chlorophyll nd other WQPs: Gordon nd Morel 1983, emp Tssn 1993, emp Bukt et l 1995, semi Gitelson et l 1996, emp Hoge nd Lyon 1996, semi Crder et l 1999, semi Gower et l 1999, semi Khru nd Mitchell 1999, emp OC4 O Reilly et l 2000, emp OC3, emp Doerffer 1999, NN Dekker et l 2002, emp Mritoren et l 2002, semi Brndo et l 2003, semi Kutser et l 2005, emp Dll Olmo et l 2003, emp Devred et l 2005, semi Le et l 2009, emp Gilerson et l 2010, emp Binding et l 2012, semi Hu et l 2012, emp

7 Bsics of physics sed lgorithms empiricl Rrsλ Semi nlyticl lgeric or optimiztion explicit or implicit IOPs AOP IOP link Physicl iogeochemicl properties WQPs IOP WQP link

8 rs g g r 1 0 AOP IOP link Rrs model rs rs rs w L E rs r r R r n t t R rs G R The ultimte question: How to dequtely solve the Rrs eqution for WQPs?

9 Two sic strtegies: 1. Bottom up strtegy BUS: Assume we know the spectrl shpes of the opticlly ctive components 2. Top down strtegy TDS: Only need the spectrl shpe informtion when it is necessry

10 1. Bottom up strtegy BUS: rs G R p w λ = w λ + xi λ λ = w λ + xi λ Build up n Rrs spectrum lock y lock: dg ph w 2 1 dg ph w M M 4 3 o m w M M

11 R rs G w M 1 ph w M 2 M 3 dg m w M 4 M o 3 m M 4 o M 1 4 or M 1 3 re wvelength independent vriles! Then they could e derived y compring the modeled Rrs spectrum with the mesured Rrs spectrum. Spectrl rnges used for solutions e.g. exmples of BUS: The lue green domin: e.g., Hoge nd Lyon 1996, Crder et l 1999 The red infrred domin: e.g., Binding et l 2012 The entire spectrum spectrl optimiztion: e.g., Bukt et l 1995, Lee et l 1994,1996,1999, Mritoren et l 2002, Boss nd Roesler 2006, Brndo et l 2012 Key: Assume the spectrl shpes of the opticlly ctive components re well chrcterized!

12 BUS for opticlly shllow wters R L w E d rs E Lw d R rs = F[,,, H] H ottom : sorption : ck-scttering : ottom ledo H: ottom depth Wter property ottom property = M 5 ott R rs = F[M 1,M 2,M 3,M 4,M 5, H]

13 Wter properties efore correcting ottom Wter properties fter correcting ottom [mg m -3 ] [m -1 ] Lee et l 2007

14 2. Top down strtegy TDS: R rs G R rs & x Clrity Secchi depth, light depth, TSM/SPM, etc Remote sensing mesures the totl effect: Wter clrity or turidity is lso mesure of totl effect. Exmples of TDS: QAA Lee et l, 2002; Smyth et l 2006; Dorn et l 2007.

15 Bsics of TDS: 0.4 sorption coefficient m pure wter [C] = 0.03 [C] = 1.0 [C] = 5.0 λ wvelength nm For reference wvelength, λ 0, vrition of λ 0 is limited. Known λ 0, enles clcultion of λ 0 from R rs λ 0 ; propgte λ 0 to λ, then enles clcultion of λ from R rs λ. No need of spectrl model of x λ in this process! λ 0

16 Applictions of &: Secchi depth: Euphotic zone depth: Z eu =f &

17 The dt flow of QAA: r rs η 0 w 0 0 p 0 F2 rrs 0, 0, w 0 p p 0 0 Lee et l w 443 F3 rrs, p, w w ph ph dg dg ph ph dg dg

18 Contrst: BUS derives every component first, then simultneously derives the totl opticl property. BUS relies more on forwrd io opticl model TDS derives totl first, then decompose to seprte components. TDS relies more on Rrs mesurement

19 Quntifiction of product uncertinty We should not expect the sme error rs for the three pixels.

20 TDS mkes the uncertinty estimtion strightforwrd. Error propgtion theory: z f xi; i :1 N z N i1 z xi x i 2

21 Issues/chllenges? Rrsλ IOPs Physicl iogeochemicl properties WQPs AOP IOP link: Nerly universl IOP WQP link: Trnsfer coefficients re Regionl/temporl dependent 1. Get Rrs right!

22 After we get the right Rrs, different level of products fcing different chllenges/requirements λ 0 & λ 0 SPM Minimum requirement: spectrl shpe of p λ Z SD ; Z eu Require: spectrl shpe of ph λ nd g λ Require: mss-specific opticl properties Lee et l 2002

23 How to est prmeterize m,,, o ph dg? A. Derive them on the fly? e.g. Brndo et l 2012 B. Prmeterize them sed on regionl/temporl chrcteristics?

24 Thnk you!

Chl distribution of the global oceans (OBPG)

Chl distribution of the global oceans (OBPG) Chl distriution of the glol ocens OBPG / ] [ j i R R f Chl / i i i j j j j p j i p i j i f R R [Chl] is ctully n IOP product Remote-sensing reflectnce sr - : R L,0 E,0 d L E d The ultimte ojective of RS:

More information

Remote-sensing reflectance (sr-1): The ultimate objective of RS: Retrieval useful/important environmental information How? algorithm!

Remote-sensing reflectance (sr-1): The ultimate objective of RS: Retrieval useful/important environmental information How? algorithm! Remote-sensing reflectnce sr - : R L,0 E,0 d L E d The ultimte ojective of RS: Retrievl useful/importnt environmentl informtion Ho? lgorithm! Empiricl explicit or implicit No need: Bio-opticl models Semi-nlyticl

More information

REMOTE ESTIMATION OF CHLOROPHYLL-A IN COASTAL WATERS USING RED AND NEAR INFRARED SPECTRAL REGIONS

REMOTE ESTIMATION OF CHLOROPHYLL-A IN COASTAL WATERS USING RED AND NEAR INFRARED SPECTRAL REGIONS REMOTE ESTIMATION OF CHLOROPHYLL-A IN COASTAL WATERS USING RED AND NEAR INFRARED SPECTRAL REGIONS Introduction A. Gilerson 1*, A. Gitelson 2, J. Zhou 1, I. Ionnou 1, nd S. Ahmed 1 1 City College of the

More information

Estimation of chlorophyll-a concentration in turbid productive waters using airborne hyperspectral data

Estimation of chlorophyll-a concentration in turbid productive waters using airborne hyperspectral data wter reserch 46 (2012) 993e1004 Aville online t www.sciencedirect.com journl homepge: www.elsevier.com/locte/wtres Estimtion of chlorophyll- concentrtion in turid productive wters using irorne hyperspectrl

More information

Algorithms for remote estimation of chlorophyll-a in coastal and inland waters using red and near infrared bands

Algorithms for remote estimation of chlorophyll-a in coastal and inland waters using red and near infrared bands University of Nersk - Lincoln DigitlCommons@University of Nersk - Lincoln Center for Advnced Lnd Mngement Informtion Technologies--Pulictions CALMIT: Center for Advnced Lnd Mngement Informtion Technologies

More information

Rrs(λ) IOPs. What to do with the retrieved IOPs?

Rrs(λ) IOPs. What to do with the retrieved IOPs? Rrs(λ) IOPs What to do with the retrieved IOPs? Chlorophyll concentration: [Chl] Examples: Carder et al (1999), GSM (2002), GIOP (2013) R ( ) F( a( ), ( )) rs a( ) aw( ) M1 aph( ) M 2 adg( ) a ph () a

More information

Modelling of the near infra-red radiation pulse propagation in biological tissues for medical imaging application

Modelling of the near infra-red radiation pulse propagation in biological tissues for medical imaging application JOURNAL OF INTENSE PULSED LASERS AND APPLICATIONS IN ADVANCED PHYSICS Vol. 3, No. 4, p. 4-45 Modelling of the ner infr-red rdition pulse propgtion in biologicl tissues for medicl imging ppliction A. SAOULI

More information

Light and Optics Propagation of light Electromagnetic waves (light) in vacuum and matter Reflection and refraction of light Huygens principle

Light and Optics Propagation of light Electromagnetic waves (light) in vacuum and matter Reflection and refraction of light Huygens principle Light nd Optics Propgtion of light Electromgnetic wves (light) in vcuum nd mtter Reflection nd refrction of light Huygens principle Polristion of light Geometric optics Plne nd curved mirrors Thin lenses

More information

P4.18 Drizzle Detection for Maritime Stratocumulus Clouds by Combined Use of TRMM Microwave Imager and Visible/Infrared Scanner

P4.18 Drizzle Detection for Maritime Stratocumulus Clouds by Combined Use of TRMM Microwave Imager and Visible/Infrared Scanner P4.18 Drizzle Detection for Mritime Strtocumulus Clouds y Comined Use of TRMM Microwve Imger nd Visile/Infrred Scnner Hongfei Sho* nd Guosheng Liu Florid Stte University, Tllhssee, FL 6 1. INTRODUCTION*

More information

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION XX IMEKO World Congress Metrology for Green Growth September 9,, Busn, Republic of Kore THERMAL EXPANSION COEFFICIENT OF WATER FOR OLUMETRIC CALIBRATION Nieves Medin Hed of Mss Division, CEM, Spin, mnmedin@mityc.es

More information

NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL

NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL V. Bkhnov, O. Kryvook, B. Dormn Ukrinin Hydrometeorologicl Reserch Institute, Avenue of Science 37,

More information

DIFA, University of Basilicata, Italy

DIFA, University of Basilicata, Italy Guido Msiello nd Crmine Serio DIFA, Uniersity of Bsilict, Itly 1 Bsic methodologicl steps to retriee surfce emissiity Step 1: Represent emissiity with Fourier cosine truncted series to lower it dimensionlity

More information

Data Assimilation. Alan O Neill Data Assimilation Research Centre University of Reading

Data Assimilation. Alan O Neill Data Assimilation Research Centre University of Reading Dt Assimiltion Aln O Neill Dt Assimiltion Reserch Centre University of Reding Contents Motivtion Univrite sclr dt ssimiltion Multivrite vector dt ssimiltion Optiml Interpoltion BLUE 3d-Vritionl Method

More information

Industrial Electrical Engineering and Automation

Industrial Electrical Engineering and Automation CODEN:LUTEDX/(TEIE-719)/1-7/(7) Industril Electricl Engineering nd Automtion Estimtion of the Zero Sequence oltge on the D- side of Dy Trnsformer y Using One oltge Trnsformer on the D-side Frncesco Sull

More information

Technical Note: Analytical sensitivity analysis of a two parameter recursive digital baseflow separation filter

Technical Note: Analytical sensitivity analysis of a two parameter recursive digital baseflow separation filter Hydrol. Erth Syst. Sci., 16, 451 455, 2012 www.hydrol-erth-syst-sci.net/16/451/2012/ doi:10.5194/hess-16-451-2012 Author(s) 2012. CC Attriution 3.0 License. Hydrology nd Erth System Sciences Technicl Note:

More information

A027 Uncertainties in Local Anisotropy Estimation from Multi-offset VSP Data

A027 Uncertainties in Local Anisotropy Estimation from Multi-offset VSP Data A07 Uncertinties in Locl Anisotropy Estimtion from Multi-offset VSP Dt M. Asghrzdeh* (Curtin University), A. Bon (Curtin University), R. Pevzner (Curtin University), M. Urosevic (Curtin University) & B.

More information

ATMOSPHERIC CORRECTION FOR MERIS OVER COASTAL WATERS: VALIDATION OF THE MERIS STANDARD AEROSOL MODELS

ATMOSPHERIC CORRECTION FOR MERIS OVER COASTAL WATERS: VALIDATION OF THE MERIS STANDARD AEROSOL MODELS ATMOSPHERIC CORRECTION FOR MERIS OVER COASTAL WATERS: VALIDATION OF THE MERIS STANDARD AEROSOL MODELS Richrd Snter nd Frédéric Lemire LISE, Université du Littorl Côte d Ople, MREN, 32 venue FOCH, 62930

More information

Thin Film Scattering: Epitaxial Layers

Thin Film Scattering: Epitaxial Layers Thin Film Scttering: Epitxil yers Arturs Vilionis GAM, Stnford University SIMES, SAC 5th Annul SSR Workshop on Synchrotron X-ry Scttering Techniques in Mterils nd Environmentl Sciences: Theory nd Appliction

More information

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases.

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases. Section 1 Section 2 The module clcultes nd plots isotherml 1-, 2- nd 3-metl predominnce re digrms. ccesses only compound dtbses. Tble of Contents Tble of Contents Opening the module Section 3 Stoichiometric

More information

Supporting Online Material for

Supporting Online Material for Correction: 1 December 007 www.sciencemg.org/cgi/content/full/318/5857/1750/dc1 Supporting Online Mteril for Mott Trnsition in VO Reveled by Infrred Spectroscopy nd Nno- Imging M. M. Qzilbsh,* M. Brehm,

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION DOI: 1.138/NMAT3984 Supplementry Informtion for Improved performnce nd stility in quntum dot solr cells through nd lignment engineering Chi- Ho M. Chung 1, Ptrick R. Brown 2, Vldimir Bulović 3 & Moungi

More information

Freely propagating jet

Freely propagating jet Freely propgting jet Introduction Gseous rectnts re frequently introduced into combustion chmbers s jets. Chemicl, therml nd flow processes tht re tking plce in the jets re so complex tht nlyticl description

More information

The Properties of Stars

The Properties of Stars 10/11/010 The Properties of Strs sses Using Newton s Lw of Grvity to Determine the ss of Celestil ody ny two prticles in the universe ttrct ech other with force tht is directly proportionl to the product

More information

Atmospheric Radiation Fall 2008

Atmospheric Radiation Fall 2008 MIT OpenCourseWre http://ocw.mit.edu.85 Atmospheric Rdition Fll 008 For informtion bout citing these mterils or our Terms of Use, visit: http://ocw.mit.edu/terms. .85, Atmospheric Rdition Dr. Robert A.

More information

arxiv:astro-ph/ v1 10 Dec 1999

arxiv:astro-ph/ v1 10 Dec 1999 Extrglctic Spectroscopy with SIRTF/IRS Bernhrd Brndl 1, Vssilis Chrmndris 1, Keven Uchid 1, nd Jim Houck 1 Cornell University, Ithc NY 14853, USA rxiv:stro-ph/9912216v1 10 Dec 1999 Astrct. The Infrred

More information

The development of nanoscale morphology in polymer:fullerene. photovoltaic blends during solvent casting

The development of nanoscale morphology in polymer:fullerene. photovoltaic blends during solvent casting Supplementry informtion Supplementry Mteril (ES) for Soft Mtter The development of nnoscle morphology in polymer:fullerene photovoltic lends during solvent csting To Wng, * Aln D. F. Dunr, Pul A. Stniec,

More information

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD Gökçen ERYILMAZ TÜRKKAN, Serdr KORKMAZ Uludg University, Civil Engineering Deprtment, Burs, Turkey geryilmz@uludg.edu.tr,

More information

ATMOSPHERIC CORRECTION OF MERIS DATA OVER PERIALPINE REGIONS

ATMOSPHERIC CORRECTION OF MERIS DATA OVER PERIALPINE REGIONS ATMOSPHERIC CORRECTION OF DATA OVER PERIALPINE REGIONS Dn Floricioiu, Helmut Rott Institute of Meteorology nd Geophysics, University of Innsbruck, Innrin 52, A-6020 Innsbruck, Austri. Emil: dn.floricioiu@uibk.c.t

More information

Satellite Retrieval Data Assimilation

Satellite Retrieval Data Assimilation tellite etrievl Dt Assimiltion odgers C. D. Inverse Methods for Atmospheric ounding: Theor nd Prctice World cientific Pu. Co. Hckensck N.J. 2000 Chpter 3 nd Chpter 8 Dve uhl Artist depiction of NAA terr

More information

New data structures to reduce data size and search time

New data structures to reduce data size and search time New dt structures to reduce dt size nd serch time Tsuneo Kuwbr Deprtment of Informtion Sciences, Fculty of Science, Kngw University, Hirtsuk-shi, Jpn FIT2018 1D-1, No2, pp1-4 Copyright (c)2018 by The Institute

More information

Absorption properties. Scattering properties

Absorption properties. Scattering properties Absorption properties Scattering properties ocean (water) color light within water medium Lu(ϴ,ϕ) (Voss et al 2007) (Kirk 1994) They are modulated by water constituents! Sensor measures E d L w [Chl] [CDOM]

More information

Technical Appendix: Childhood Family Structure and Schooling Outcomes: Evidence for Germany

Technical Appendix: Childhood Family Structure and Schooling Outcomes: Evidence for Germany Technicl Appendix: Childhood Fmily Structure nd Schooling Outcomes: Evidence for Germny Mrco Frncesconi* Stephen P. Jenkins Thoms Siedler Universy of Essex nd Universy of Essex Universy of Essex Instute

More information

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.

u( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph. nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $

More information

PARTICULATE BACKSCATTERING AND SUSPENDED MATTER CONCENTRATION RETRIEVAL FROM REMOTE-SENSED TURBIDITY IN VARIOUS COASTAL AND RIVERINE TURBID WATERS

PARTICULATE BACKSCATTERING AND SUSPENDED MATTER CONCENTRATION RETRIEVAL FROM REMOTE-SENSED TURBIDITY IN VARIOUS COASTAL AND RIVERINE TURBID WATERS PARTICULATE BACKSCATTERING AND SUSPENDED MATTER CONCENTRATION RETRIEVAL FROM REMOTE-SENSED TURBIDITY IN VARIOUS COASTAL AND RIVERINE TURBID WATERS Bouchr Nechd (1), An Dogliotti (2), Kevin Ruddick (1),

More information

Colorimetric detection and separation of chiral tyrosine. based on N-acetyl-L-cysteine modified gold. nanoparticles

Colorimetric detection and separation of chiral tyrosine. based on N-acetyl-L-cysteine modified gold. nanoparticles Colorimetric detection nd seprtion of chirl tyrosine sed on N-cetyl-L-cysteine modified gold nnoprticles Hiyn Su, Qiuling Zheng nd Hiing Li* Key Lortory of Pesticide nd Chemicl Biology (CCNU), Ministry

More information

Computation and Modeling of the Air-Sea Heat and Momentum Fluxes. By Dr. Nasser H. Zaker

Computation and Modeling of the Air-Sea Heat and Momentum Fluxes. By Dr. Nasser H. Zaker Computtion nd Modeling of the Air-e et nd Momentum Fluxes By Dr. Nsser. Zker ICTP June 00 1 Introduction The ocen receives energy through the ir-se interfce by exchnge of momentum nd het. The turbulent

More information

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler)

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler) CHE 309: Chemicl Rection Engineering Lecture-8 Module 2: Rte Lw & Stoichiomtery (Chpter 3, Fogler) Topics to be covered in tody s lecture Thermodynmics nd Kinetics Rection rtes for reversible rections

More information

CBE 291b - Computation And Optimization For Engineers

CBE 291b - Computation And Optimization For Engineers The University of Western Ontrio Fculty of Engineering Science Deprtment of Chemicl nd Biochemicl Engineering CBE 9b - Computtion And Optimiztion For Engineers Mtlb Project Introduction Prof. A. Jutn Jn

More information

Chapter 9 Definite Integrals

Chapter 9 Definite Integrals Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished

More information

Atmospheric correction for a Landsat and Sentinel-2 product over water surfaces

Atmospheric correction for a Landsat and Sentinel-2 product over water surfaces nd Interntionl Congress on Modelling nd Simultion, Hobrt, Tsmni, Austrli, 3 to 8 December 17 mssnz.org.u/modsim17 Atmospheric correction for ndst nd Sentinel- product over wter surfces F. i, D..B. Jupp

More information

Solutions to Supplementary Problems

Solutions to Supplementary Problems Solutions to Supplementry Problems Chpter 8 Solution 8.1 Step 1: Clculte the line of ction ( x ) of the totl weight ( W ).67 m W = 5 kn W 1 = 16 kn 3.5 m m W 3 = 144 kn Q 4m Figure 8.10 Tking moments bout

More information

Multi-objective optimization of dielectric layer photonic crystal filter

Multi-objective optimization of dielectric layer photonic crystal filter Optic Applict, Vol. XLVII, No. 1, 017 DOI: 10.577/o170103 Multi-objective optimiztion of dielectric lyer photonic crystl filter HONGWEI YANG *, CUIYING HUANG, SHANSHAN MENG College of Applied Sciences,

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION SUPPLEMENTARY INFORMATION Synthesis of metl oxide with roomtemperture photoreversile phse trnsition Shin-ichi Ohkoshi 1 *, Yoshihide Tsunouchi, 1 Tomoyuki Mtsud, 1 Kzuhito Hshimoto, 2 Asuk Nmi, 1 Fumiyoshi

More information

What is thin film/layer?

What is thin film/layer? High-esolution XD Wht is thin film/lyer? Mteril so thin tht its chrcteristics re dominted primrily by two dimensionl effects nd re mostly different thn its bulk properties Source: semiconductorglossry.com

More information

Special Relativity solved examples using an Electrical Analog Circuit

Special Relativity solved examples using an Electrical Analog Circuit 1-1-15 Specil Reltivity solved exmples using n Electricl Anlog Circuit Mourici Shchter mourici@gmil.com mourici@wll.co.il ISRAE, HOON 54-54855 Introduction In this pper, I develop simple nlog electricl

More information

Simulation of Eclipsing Binary Star Systems. Abstract

Simulation of Eclipsing Binary Star Systems. Abstract Simultion of Eclipsing Binry Str Systems Boris Yim 1, Kenny Chn 1, Rphel Hui 1 Wh Yn College Kowloon Diocesn Boys School Abstrct This report briefly introduces the informtion on eclipsing binry str systems.

More information

Bio-optical modeling of IOPs (PFT approaches)

Bio-optical modeling of IOPs (PFT approaches) Bio-optical modeling of IOPs (PFT approaches) Collin Roesler July 28 2014 note: the pdf contains more information than will be presented today Some History It started with satellite observations of El

More information

4.1. Probability Density Functions

4.1. Probability Density Functions STT 1 4.1-4. 4.1. Proility Density Functions Ojectives. Continuous rndom vrile - vers - discrete rndom vrile. Proility density function. Uniform distriution nd its properties. Expected vlue nd vrince of

More information

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018 Physics 201 Lb 3: Mesurement of Erth s locl grvittionl field I Dt Acquisition nd Preliminry Anlysis Dr. Timothy C. Blck Summer I, 2018 Theoreticl Discussion Grvity is one of the four known fundmentl forces.

More information

Classical Mechanics. From Molecular to Con/nuum Physics I WS 11/12 Emiliano Ippoli/ October, 2011

Classical Mechanics. From Molecular to Con/nuum Physics I WS 11/12 Emiliano Ippoli/ October, 2011 Clssicl Mechnics From Moleculr to Con/nuum Physics I WS 11/12 Emilino Ippoli/ October, 2011 Wednesdy, October 12, 2011 Review Mthemtics... Physics Bsic thermodynmics Temperture, idel gs, kinetic gs theory,

More information

Math 31S. Rumbos Fall Solutions to Assignment #16

Math 31S. Rumbos Fall Solutions to Assignment #16 Mth 31S. Rumbos Fll 2016 1 Solutions to Assignment #16 1. Logistic Growth 1. Suppose tht the growth of certin niml popultion is governed by the differentil eqution 1000 dn N dt = 100 N, (1) where N(t)

More information

Some parameters of varicaps with gradient base area based on Shottky barrier

Some parameters of varicaps with gradient base area based on Shottky barrier ISSN: 35-38 Vol. 4, Issue, December 7 Some prmeters of vricps with grdient bse re bsed on Shottky brrier Mmtkrimov O.O., KuchkrovB.Kh. Rector, Nmngn engineering-technology institute, Kosonsoy str.,7, Nmngn,

More information

Section 6: Area, Volume, and Average Value

Section 6: Area, Volume, and Average Value Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find

More information

3.1 Exponential Functions and Their Graphs

3.1 Exponential Functions and Their Graphs . Eponentil Functions nd Their Grphs Sllbus Objective: 9. The student will sketch the grph of eponentil, logistic, or logrithmic function. 9. The student will evlute eponentil or logrithmic epressions.

More information

INSTRUMENTS USED FOR MEASURINNG THE MAGNETIC PROPERTIES OF ONE KILOGRAM MASS STANDARD IN CENTER FOR MEASUREMENT STANDARDS (CMS)

INSTRUMENTS USED FOR MEASURINNG THE MAGNETIC PROPERTIES OF ONE KILOGRAM MASS STANDARD IN CENTER FOR MEASUREMENT STANDARDS (CMS) INSTRUMENTS USED OR MEASURINNG THE MAGNETIC PROPERTIES O ONE KILOGRAM MASS STANDARD IN CENTER OR MEASUREMENT STANDARDS (CMS) Sheu-shi Pn, H. C. Lu nd C. S. Chng Center for Mesurement Stndrds, Industril

More information

Principles of Electronic Nanobiosensors

Principles of Electronic Nanobiosensors Principles of Electronic Nnoiosensors Unit 3: Sensitivity Lecture 3.10: Cntilever-sed Sensors: Bsic Opertion By Muhmmd A. Alm Professor of Electricl nd Computer Engineering Purdue University lm@purdue.edu

More information

Laser Safety. Safe clinical application of laser radiation. Frits F.M. de Mul ffmdemul(at)gmail.

Laser Safety. Safe clinical application of laser radiation. Frits F.M. de Mul ffmdemul(at)gmail. Lser Sfety Sfe clinicl ppliction of lser rdition Frits F.M. de Mul 2016 www.demul.net/frits emil: ffmdemul(t)gmil.com Lser Sfety Sfe clinicl ppliction of lser rdition Contents: 1. Physicl / mthemticl explntion

More information

13.4 Work done by Constant Forces

13.4 Work done by Constant Forces 13.4 Work done by Constnt Forces We will begin our discussion of the concept of work by nlyzing the motion of n object in one dimension cted on by constnt forces. Let s consider the following exmple: push

More information

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression.

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression. SECTION. Eponents nd Rdicls 7 B 7 7 7 7 7 7 7 NOW TRY EXERCISES 89 AND 9 7. EXERCISES CONCEPTS. () Using eponentil nottion, we cn write the product s. In the epression 3 4,the numer 3 is clled the, nd

More information

Temperature influence compensation in microbolometer detector for image quality enhancement

Temperature influence compensation in microbolometer detector for image quality enhancement .26/qirt.26.68 Temperture influence compenstion in microolometer detector for imge qulity enhncement More info out this rticle: http://www.ndt.net/?id=2647 Astrct y M. Krupiński*, T. Sosnowski*, H. Mdur*

More information

Conservation Law. Chapter Goal. 5.2 Theory

Conservation Law. Chapter Goal. 5.2 Theory Chpter 5 Conservtion Lw 5.1 Gol Our long term gol is to understnd how mny mthemticl models re derived. We study how certin quntity chnges with time in given region (sptil domin). We first derive the very

More information

Note 12. Introduction to Digital Control Systems

Note 12. Introduction to Digital Control Systems Note Introduction to Digitl Control Systems Deprtment of Mechnicl Engineering, University Of Ssktchewn, 57 Cmpus Drive, Ssktoon, SK S7N 5A9, Cnd . Introduction A digitl control system is one in which the

More information

Describe in words how you interpret this quantity. Precisely what information do you get from x?

Describe in words how you interpret this quantity. Precisely what information do you get from x? WAVE FUNCTIONS AND PROBABILITY 1 I: Thinking out the wve function In quntum mechnics, the term wve function usully refers to solution to the Schrödinger eqution, Ψ(x, t) i = 2 2 Ψ(x, t) + V (x)ψ(x, t),

More information

CHAPTER 4a. ROOTS OF EQUATIONS

CHAPTER 4a. ROOTS OF EQUATIONS CHAPTER 4. ROOTS OF EQUATIONS A. J. Clrk School o Engineering Deprtment o Civil nd Environmentl Engineering by Dr. Ibrhim A. Asskk Spring 00 ENCE 03 - Computtion Methods in Civil Engineering II Deprtment

More information

How do we solve these things, especially when they get complicated? How do we know when a system has a solution, and when is it unique?

How do we solve these things, especially when they get complicated? How do we know when a system has a solution, and when is it unique? XII. LINEAR ALGEBRA: SOLVING SYSTEMS OF EQUATIONS Tody we re going to tlk out solving systems of liner equtions. These re prolems tht give couple of equtions with couple of unknowns, like: 6= x + x 7=

More information

Fast Feedback Strategies for Longitudinal Beam Stabilization

Fast Feedback Strategies for Longitudinal Beam Stabilization 1 / 12 Fst Feedbck Strtegies for Longitudinl Bem Stbiliztion IPAC 2012, New Orlens, USA S. Pfeiffer 1, C. Schmidt 1, M.K. Bock 1, H. Schlrb 1, W. Jlmuzn 2, G. Lichtenberg 3, H. Werner 3 1 DESY Hmburg 2

More information

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE

A Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE Southwestern U.S. Ground Motion Chrcteriztion Senior Seismic Hzrd Anlysis Committee Level 3 Workshop #2 October 22-24, 2013 A Brief Review on Akkr, Sndikky nd Bommer (ASB13 GMPE Sinn Akkr Deprtment of

More information

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary

Genetic Programming. Outline. Evolutionary Strategies. Evolutionary strategies Genetic programming Summary Outline Genetic Progrmming Evolutionry strtegies Genetic progrmming Summry Bsed on the mteril provided y Professor Michel Negnevitsky Evolutionry Strtegies An pproch simulting nturl evolution ws proposed

More information

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15 Physics H - Introductory Quntum Physics I Homework #8 - Solutions Fll 4 Due 5:1 PM, Mondy 4/11/15 [55 points totl] Journl questions. Briefly shre your thoughts on the following questions: Of the mteril

More information

Vorticity. curvature: shear: fluid elements moving in a straight line but at different speeds. t 1 t 2. ATM60, Shu-Hua Chen

Vorticity. curvature: shear: fluid elements moving in a straight line but at different speeds. t 1 t 2. ATM60, Shu-Hua Chen Vorticity We hve previously discussed the ngulr velocity s mesure of rottion of body. This is suitble quntity for body tht retins its shpe but fluid cn distort nd we must consider two components to rottion:

More information

R. Yadipour [a], K. Abbasian [a], A. Rostami [a, b], Z. D. Koozehkanani [c] and R. Namdar [d]

R. Yadipour [a], K. Abbasian [a], A. Rostami [a, b], Z. D. Koozehkanani [c] and R. Namdar [d] Proposl for -D High Precision Displcement Sensor Arry sed on Micro-ring Resontors using Electromgneticlly Induced Trnsprency (Nnophotonic Device) R. Ydipour [], K. Asin [], A. Rostmi [, ], Z. D. Koozehknni

More information

IMPOSSIBLE NAVIGATION

IMPOSSIBLE NAVIGATION Sclrs versus Vectors IMPOSSIBLE NAVIGATION The need for mgnitude AND direction Sclr: A quntity tht hs mgnitude (numer with units) ut no direction. Vector: A quntity tht hs oth mgnitude (displcement) nd

More information

Web Appendix for: Monetary-Fiscal Policy Interactions and Indeterminacy in Post-War U.S. Data. Saroj Bhattarai, Jae Won Lee and Woong Yong Park

Web Appendix for: Monetary-Fiscal Policy Interactions and Indeterminacy in Post-War U.S. Data. Saroj Bhattarai, Jae Won Lee and Woong Yong Park We Appendix for: Monetry-Fiscl Policy Interctions nd Indetermincy in Post-Wr U.S. Dt Sroj Bhttri, Je Won Lee nd Woong Yong Prk Jnury 11, 2012 Approximte model Detrend The technology process A t induces

More information

Learning Moore Machines from Input-Output Traces

Learning Moore Machines from Input-Output Traces Lerning Moore Mchines from Input-Output Trces Georgios Gintmidis 1 nd Stvros Tripkis 1,2 1 Alto University, Finlnd 2 UC Berkeley, USA Motivtion: lerning models from blck boxes Inputs? Lerner Forml Model

More information

COURSE OUTLINE. Introduction Signals and Noise Filtering Sensors: PD1 PhotoDetector Fundamentals. Sensors, Signals and Noise 1

COURSE OUTLINE. Introduction Signals and Noise Filtering Sensors: PD1 PhotoDetector Fundamentals. Sensors, Signals and Noise 1 Sensors, Signls nd Noise 1 COURSE OUTLINE Introduction Signls nd Noise Filtering Sensors: PD1 PhotoDetector Fundmentls Photons nd photodetector principles 2 Photons nd Spectrl rnges Reflection nd Absorption

More information

Multi-Armed Bandits: Non-adaptive and Adaptive Sampling

Multi-Armed Bandits: Non-adaptive and Adaptive Sampling CSE 547/Stt 548: Mchine Lerning for Big Dt Lecture Multi-Armed Bndits: Non-dptive nd Adptive Smpling Instructor: Shm Kkde 1 The (stochstic) multi-rmed bndit problem The bsic prdigm is s follows: K Independent

More information

[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves

[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves Gols: 1. To find the re etween two curves Section 6.1 Are of Regions etween two Curves I. Are of Region Between Two Curves A. Grphicl Represention = _ B. Integrl Represention [ ( ) ( )] f x g x dx = C.

More information

Design, fabrication and optical characterization of Fabry-Pérot tunable resonator based on microstructured Si and liquid crystal

Design, fabrication and optical characterization of Fabry-Pérot tunable resonator based on microstructured Si and liquid crystal Design, friction nd opticl chrcteriztion of Fry-Pérot tunle resontor sed on microstructured Si nd liquid crystl Vldimir A. Tolmchev,, Vsily A. Melnikov, Аnn V. Bldychev, Ttin S. Perov* nd Glin I. Fedulov

More information

Measuring Electron Work Function in Metal

Measuring Electron Work Function in Metal n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd

More information

THE INTERVAL LATTICE BOLTZMANN METHOD FOR TRANSIENT HEAT TRANSFER IN A SILICON THIN FILM

THE INTERVAL LATTICE BOLTZMANN METHOD FOR TRANSIENT HEAT TRANSFER IN A SILICON THIN FILM ROMAI J., v.9, no.2(2013), 173 179 THE INTERVAL LATTICE BOLTZMANN METHOD FOR TRANSIENT HEAT TRANSFER IN A SILICON THIN FILM Alicj Piseck-Belkhyt, Ann Korczk Institute of Computtionl Mechnics nd Engineering,

More information

Solutions of Klein - Gordan equations, using Finite Fourier Sine Transform

Solutions of Klein - Gordan equations, using Finite Fourier Sine Transform IOSR Journl of Mthemtics (IOSR-JM) e-issn: 2278-5728, p-issn: 2319-765X. Volume 13, Issue 6 Ver. IV (Nov. - Dec. 2017), PP 19-24 www.iosrjournls.org Solutions of Klein - Gordn equtions, using Finite Fourier

More information

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2 1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion

More information

ORDER REDUCTION USING POLE CLUSTERING AND FACTOR DIVISION METHOD

ORDER REDUCTION USING POLE CLUSTERING AND FACTOR DIVISION METHOD Author Nme et. l. / Interntionl Journl of New Technologies in Science nd Engineering Vol., Issue., 7, ISSN 9-78 ORDER REDUCTION USING POLE CLUSTERING AND FACTOR DIVISION METHOD A Chinn Nidu* G Dileep**

More information

Ecuaciones Algebraicas lineales

Ecuaciones Algebraicas lineales Ecuciones Algebrics lineles An eqution of the form x+by+c=0 or equivlently x+by=c is clled liner eqution in x nd y vribles. x+by+cz=d is liner eqution in three vribles, x, y, nd z. Thus, liner eqution

More information

1.9 C 2 inner variations

1.9 C 2 inner variations 46 CHAPTER 1. INDIRECT METHODS 1.9 C 2 inner vritions So fr, we hve restricted ttention to liner vritions. These re vritions of the form vx; ǫ = ux + ǫφx where φ is in some liner perturbtion clss P, for

More information

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response

More information

Uncertainty propagation with AGS

Uncertainty propagation with AGS Uncertinty propgtion with A J. Heyse, C. Prdel, P. chilleeeckx EC JRC IRMM tndrds for Nucler fety, ecurity nd fegurds (N3 H.I. Kim Koren Atomic Energy Reserch Institute Nucler t Center Contents Uncertinty

More information

Neuro-Fuzzy Modeling of Superheating System. of a Steam Power Plant

Neuro-Fuzzy Modeling of Superheating System. of a Steam Power Plant Applied Mthemticl Sciences, Vol. 1, 2007, no. 42, 2091-2099 Neuro-Fuzzy Modeling of Superheting System of Stem Power Plnt Mortez Mohmmdzheri, Ali Mirsephi, Orng Asef-fshr nd Hmidrez Koohi The University

More information

JURONG JUNIOR COLLEGE

JURONG JUNIOR COLLEGE JURONG JUNIOR COLLEGE 2010 JC1 H1 8866 hysics utoril : Dynmics Lerning Outcomes Sub-topic utoril Questions Newton's lws of motion 1 1 st Lw, b, e f 2 nd Lw, including drwing FBDs nd solving problems by

More information

Comparison Procedures

Comparison Procedures Comprison Procedures Single Fctor, Between-Subects Cse /8/ Comprison Procedures, One-Fctor ANOVA, Between Subects Two Comprison Strtegies post hoc (fter-the-fct) pproch You re interested in discovering

More information

Characteristic Equation-Based Computation of Thévenin and Norton Equivalent Circuits

Characteristic Equation-Based Computation of Thévenin and Norton Equivalent Circuits IEEJ TANSACTIONS ON EECTICA AND EECTONIC ENGINEEING IEEJ Trns 0; 6: 509 56 Pulished online in Wiley Online irry (wileyonlinelirry.com). DOI:0.00/tee.0689 Chrcteristic Eqution-Bsed Computtion of Thévenin

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION DOI:.38/NMAT343 Hybrid Elstic olids Yun Li, Ying Wu, Ping heng, Zho-Qing Zhng* Deprtment of Physics, Hong Kong University of cience nd Technology Cler Wter By, Kowloon, Hong Kong, Chin E-mil: phzzhng@ust.hk

More information

http:dx.doi.org1.21611qirt.1994.17 Infrred polriztion thermometry using n imging rdiometer by BALFOUR l. S. * *EORD, Technion Reserch & Development Foundtion Ltd, Hif 32, Isrel. Abstrct This pper describes

More information

The missing ingredient in effective-medium theories: Standard deviations USA. University Park, PA 16802, USA

The missing ingredient in effective-medium theories: Standard deviations USA. University Park, PA 16802, USA The missing ingredient in effective-medium theories: Stndrd devitions Crig F. Bohren 1,*, Xuerong Xio 2, nd Akhlesh Lkhtki 2 1 Deprtment of Meteorology, Pennsylvni Stte University, University Prk, PA 16802,

More information

Queens School Physics Department

Queens School Physics Department Queens School Physics Deprtment S Bridging Workbook Nme: Chpter : Rerrnging equtions The first step in lerning to mnipulte n eqution is your bility to see how it is done once nd then repet the process

More information

Data Provided: A formula sheet and table of physical constants are attached to this paper.

Data Provided: A formula sheet and table of physical constants are attached to this paper. PHY472 Dt Provided: Formul sheet nd physicl constnts Dt Provided: A formul sheet nd tble of physicl constnts re ttched to this pper. DEPARTMENT OF PHYSICS & Autumn Semester 2009-2010 ASTRONOMY DEPARTMENT

More information

Department of Electrical and Computer Engineering, Cornell University. ECE 4070: Physics of Semiconductors and Nanostructures.

Department of Electrical and Computer Engineering, Cornell University. ECE 4070: Physics of Semiconductors and Nanostructures. Deprtment of Electricl nd Computer Engineering, Cornell University ECE 4070: Physics of Semiconductors nd Nnostructures Spring 2014 Exm 2 ` April 17, 2014 INSTRUCTIONS: Every problem must be done in the

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O IAPWS R-7 The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem

More information

Remote temperature measurement with PerkinElmer thermopile sensors (pyrometry): A practical guide to quantitative results

Remote temperature measurement with PerkinElmer thermopile sensors (pyrometry): A practical guide to quantitative results PerkinElmer Optoelectronics GmbH ppl. note Wenzel-Jksch-Strße 31 65199 Wiesbden, Germny Phone: +9 (6 11 92-0 Fx: +9 (6 11 92-3 69 http://www.perkinelmer.com ppliction note thermopile sensors Remote temperture

More information

Lecture 5 Capacitance Ch. 25

Lecture 5 Capacitance Ch. 25 Lecture 5 pcitnce h. 5 rtoon - pcitnce definition nd exmples. Opening Demo - Dischrge cpcitor Wrm-up prolem Physlet Topics pcitnce Prllel Plte pcitor Dielectrics nd induced dipoles oxil cle, oncentric

More information