Development of EUV-Scatterometry for CD Characterization of Masks. Frank Scholze, Gerhard Ulm Physikalisch-Technische Bundesanstalt, Berlin, Germany

Size: px
Start display at page:

Download "Development of EUV-Scatterometry for CD Characterization of Masks. Frank Scholze, Gerhard Ulm Physikalisch-Technische Bundesanstalt, Berlin, Germany"

Transcription

1 Development of EUV-Scatterometry for CD Characterization of Masks PB Frank Scholze, Gerhard Ulm Physikalisch-Technische Bundesanstalt, Berlin, Germany Jan Perlich, Frank-Michael Kamm, Jenspeter Rau nfineon Technologies, München, Germany Christian Holfeld Advanced Mask Technology Center, Dresden, Germany 2nd nternational EUVL Symposium, 30 September - 2 October 2003

2 Outline PB Motivation EUV measurement facilities at PTB/BESSY, Berlin Scatterometry of topographical masks Comparison to simulation Conclusions 2nd nternational EUVL Symposium, 30 September - 2 October 2003

3 Co-Operation nfineon-ptb PB ssue: Complex image formation of EUV masks requires accurate measurement of topographical structure. Partners: nfineon Maskhouse Munich as a leading-edge maskshop for advanced photomasks. PTB as leading provider of EUV metrology capabilities. Goal: evaluate applicability of EUV-scatterometry. Future activities on EUV masks will be performed by the new Advanced Mask Technology Center (AMTC), Dresden. 2nd nternational EUVL Symposium, 30 September - 2 October 2003

4 PTB Radiometry Laboratory PB BESSY main parameters diameter of experimental hall: 120 m circumference of storage ring: 240 m 2nd nternational EUVL Symposium, 30 September - 2 October 2003

5 PTB Radiometry Laboratory PB 5 PTB Undulator 4c bending magnets electrons 3c 4b 4a 3a 2 3b 65 m 1 plane grating monochromator 4a undispersed undulator radiation 30 ev to 1800 ev 2 four crystal monochromator 1.75 kev to 10 kev 4b plane grating monochromator at undulator 20 ev to 1900 ev 3a undispersed bending magnet radiation 4c deflected undispersed undulator radiation 3b normal incidence monochromator radiation source calibration 3 ev to 35 ev 5 normal incidence monochromator detector calibration 3 ev to 35 ev 3c deflected undispersed bending magnet radiation 2nd nternational EUVL Symposium, 30 September - 2 October

6 EUV Activities PB Radiometry beamline: reflectometry rel. uncert. reflectance: u=0.14% detector calibration rel. uncert. responsivity: u=0.3% Focused bending magnet: optics lifetime-testing Direct undulator radiation: system metrology, first European EUV prints with MET 2nd nternational EUVL Symposium, 30 September - 2 October 2003

7 PB PTB Reflectometer Det- R 2Θ Det- X Det. Φ Θ z Φ y x tilt Axis θ Tilt φ x y z Det. X Det. R Det. φ 2θ θ Range -30 to to 10 0 to mm to 90 mm -10 mm to 300 mm -15 mm to 140 mm 0 mm to 120 mm 150 mm to 550 mm 0 to to 190 Accuracy: 10µm or 0.01 Diameter: 2 m Length: 2.1 m Weight: 3 t 2nd nternational EUVL Symposium, 30 September - 2 October 2003

8 PTB Reflectometer Sample Holder PB Mask 1 ML Mirror Transfer with robot 2nd nternational EUVL Symposium, 30 September - 2 October 2003

9 Motivation PB Complex image formation of EUV masks requires accurate measurement of topographical structure, e.g. sidewall angle. Optical scatterometry already used for fast characterization of mask topography, but limited to optical spectrum. Extension to shorter wavelengths desirable due to resolution. Actinic measurement needed to provide further information on mask performance, e.g. local EUV-reflectance in patterned region. 2nd nternational EUVL Symposium, 30 September - 2 October 2003

10 Scattering Theory PB Fraunhofer diffraction at a planar structure ( θ ) = ( ) 0 sin β sin N α 2 N β sinα 2 2 Form factor: information on CD q β = π CD x 2π Diffraction lines: information on pitch q x = 2π/pitch q x = 2π/CD q α = π pitch x 2π 2nd nternational EUVL Symposium, 30 September - 2 October 2003

11 Scatterometry of Lines & Spaces PB Scan of the direction of the outgoing photon beam at constant wavelength significant variation of q z 2nd nternational EUVL Symposium, 30 September - 2 October 2003

12 Theory - Scattering with Depth Profile PB Diffracted orders ncident beam at 5 CDeff Effective reflection depth 3D mask structure of EUV masks : Shadowing effects due to oblique angle of incidence effective CD Reflection at distributed Bragg-reflector effective plane of reflection Effective geometrical model : reduced CD at large scattering angles due to shadowing. 2nd nternational EUVL Symposium, 30 September - 2 October 2003

13 Comparison to Rigorous Modelling PB γ var Cr CD var SiO 2 CD: 412 nm, 35 absorber angle Rigorous modeling of topographical mask: ❶ Calculate intensity of diffraction orders with rigorous coupled wave analyis. ❶ Best-fit to experimental data. Extraction of bottom-cd, and absorber- sidewall angle. 2nd nternational EUVL Symposium, 30 September - 2 October 2003

14 Conclusions PB ❶ High-accuray reflectometry used to measure EUV-scattering. ❶ EUV-scatteromtery provides topographical information of multilayer masks. ❶ High-accuray EUV-scatterometry provides a tool for testing EUV mask modelling. ❶ Further development aims for optimized measurement procedures, improved modelling and fast automated fitting. 2nd nternational EUVL Symposium, 30 September - 2 October 2003

Optics Vac Work MT 2008

Optics Vac Work MT 2008 Optics Vac Work MT 2008 1. Explain what is meant by the Fraunhofer condition for diffraction. [4] An aperture lies in the plane z = 0 and has amplitude transmission function T(y) independent of x. It is

More information

Geometric Field Tracing through an Off- Axis Parabolic Mirror

Geometric Field Tracing through an Off- Axis Parabolic Mirror UseCase.0077 (1.0) Geometric Field Tracing through an Off- Axis Parabolic Mirror Keywords: focus, geometric field tracing, diffractive field tracing Description This use case explains the usage of the

More information

Measurement and characterization of EUV mask performance at high-na

Measurement and characterization of EUV mask performance at high-na Measurement and characterization of EUV mask performance at high-na Rikon Chao Andrew R. Neureuther, Ed. Laura Waller, Ed. Patrick Naulleau, Ed. Electrical Engineering and Computer Sciences University

More information

SCDI for EUV photomask metrology RESCAN - Reflective EUV Mask Scanning Lensless Imaging Tool

SCDI for EUV photomask metrology RESCAN - Reflective EUV Mask Scanning Lensless Imaging Tool EUV Litho Workshop 2017 WIR SCHAFFEN WISSEN HEUTE FÜR MORGEN P. Helfenstein a, I. Mochi a, R. Rajendran a, S. Fernandez a, S. Yoshitake b, Y. Ekinci a a Paul Scherrer Institut, Switzerland b NuFlare Technology

More information

arxiv: v1 [physics.optics] 11 Nov 2010

arxiv: v1 [physics.optics] 11 Nov 2010 Metrology of EUV Masks by EUV-Scatterometry and Finite Element Analysis arxiv:1011.2665v1 [physics.optics] 11 Nov 2010 Jan Pomplun ab, Sven Burger ab, Frank Schmidt ab, Frank Scholze c, Christian Laubis

More information

Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave

Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave If light coming from infinity point source at infinity

More information

specular diffuse reflection.

specular diffuse reflection. Lesson 8 Light and Optics The Nature of Light Properties of Light: Reflection Refraction Interference Diffraction Polarization Dispersion and Prisms Total Internal Reflection Huygens s Principle The Nature

More information

Lecture 4. Physics 1502: Lecture 35 Today s Agenda. Homework 09: Wednesday December 9

Lecture 4. Physics 1502: Lecture 35 Today s Agenda. Homework 09: Wednesday December 9 Physics 1502: Lecture 35 Today s Agenda Announcements: Midterm 2: graded soon» solutions Homework 09: Wednesday December 9 Optics Diffraction» Introduction to diffraction» Diffraction from narrow slits»

More information

Supplementary Figure 1 Optimum transmissive mask design for shaping an incident light to a desired

Supplementary Figure 1 Optimum transmissive mask design for shaping an incident light to a desired Supplementary Figure 1 Optimum transmissive mask design for shaping an incident light to a desired tangential form. (a) The light from the sources and scatterers in the half space (1) passes through the

More information

Control of Light. Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 2007

Control of Light. Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 2007 Control of Light Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 007 Spectro-radiometry Spectral Considerations Chromatic dispersion

More information

To see how a sharp edge or an aperture affect light. To analyze single-slit diffraction and calculate the intensity of the light

To see how a sharp edge or an aperture affect light. To analyze single-slit diffraction and calculate the intensity of the light Diffraction Goals for lecture To see how a sharp edge or an aperture affect light To analyze single-slit diffraction and calculate the intensity of the light To investigate the effect on light of many

More information

MEMS SENSOR FOR MEMS METROLOGY

MEMS SENSOR FOR MEMS METROLOGY MEMS SENSOR FOR MEMS METROLOGY IAB Presentation Byungki Kim, H Ali Razavi, F. Levent Degertekin, Thomas R. Kurfess 9/24/24 OUTLINE INTRODUCTION Motivation Contact/Noncontact measurement Optical interferometer

More information

Challenges in Manufacturing of optical and EUV Photomasks Martin Sczyrba

Challenges in Manufacturing of optical and EUV Photomasks Martin Sczyrba Challenges in Manufacturing of optical and EUV Photomasks Martin Sczyrba Advanced Mask Technology Center Dresden, Germany Senior Member of Technical Staff Advanced Mask Technology Center Dresden Key Facts

More information

University Physics (Prof. David Flory) Chapt_37 Monday, August 06, 2007

University Physics (Prof. David Flory) Chapt_37 Monday, August 06, 2007 Name: Date: 1. If we increase the wavelength of the light used to form a double-slit diffraction pattern: A) the width of the central diffraction peak increases and the number of bright fringes within

More information

Autocollimator Calibration for Synchrotron Metrology: Advancing from Plane to Solid Angle

Autocollimator Calibration for Synchrotron Metrology: Advancing from Plane to Solid Angle Autocollimator Calibration for Synchrotron Metrology: Advancing from Plane to Solid Angle Ralf D. Geckeler, Oliver Kranz, Andreas Just, Michael Krause PTB - Physikalisch-Technische Bundesanstalt, Germany

More information

A raytracing code for zone plates

A raytracing code for zone plates A raytracing code for zone plates Alexei Erko *, Franz Schaefers, Nikolay Artemiev a BESSY GmbH, Albert-Einstein-Str.15, 12489 Berlin, Germany a Laboratoire d'optique Appliquee ENSTA Ecole Polytechnique

More information

Models of Light The wave model: The ray model: The photon model:

Models of Light The wave model: The ray model: The photon model: Models of Light The wave model: under many circumstances, light exhibits the same behavior as sound or water waves. The study of light as a wave is called wave optics. The ray model: The properties of

More information

Defect Repair for EUVL Mask Blanks

Defect Repair for EUVL Mask Blanks Defect Repair for EUVL Mask Blanks A.Barty, S.Hau-Riege, P.B.Mirkarimi, D.G.Stearns, H.Chapman, D.Sweeney Lawrence Livermore National Laboratory M.Clift Sandia National Laboratory E.Gullikson, M.Yi Lawrence

More information

Soft X-Ray Reflectivity: from quasi-perfect mirrors to accelerator walls. Franz Schäfers Institute for Nanometre Optics and Technology (INT)

Soft X-Ray Reflectivity: from quasi-perfect mirrors to accelerator walls. Franz Schäfers Institute for Nanometre Optics and Technology (INT) Soft X-Ray Reflectivity: from quasi-perfect mirrors to accelerator walls Franz Schäfers Institute for Nanometre Optics and Technology (INT) Synchrotron Radiation in all colours Charged particles, moving

More information

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics

More information

Lecture 39. Chapter 37 Diffraction

Lecture 39. Chapter 37 Diffraction Lecture 39 Chapter 37 Diffraction Interference Review Combining waves from small number of coherent sources double-slit experiment with slit width much smaller than wavelength of the light Diffraction

More information

Effective Medium Theory, Rough Surfaces, and Moth s Eyes

Effective Medium Theory, Rough Surfaces, and Moth s Eyes Effective Medium Theory, Rough Surfaces, and Moth s Eyes R. Steven Turley, David Allred, Anthony Willey, Joseph Muhlestein, and Zephne Larsen Brigham Young University, Provo, Utah Abstract Optics in the

More information

High spatial resolution measurement of volume holographic gratings

High spatial resolution measurement of volume holographic gratings High spatial resolution measurement of volume holographic gratings Gregory J. Steckman, Frank Havermeyer Ondax, Inc., 8 E. Duarte Rd., Monrovia, CA, USA 9116 ABSTRACT The conventional approach for measuring

More information

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics

More information

Lenses lens equation (for a thin lens) = (η η ) f r 1 r 2

Lenses lens equation (for a thin lens) = (η η ) f r 1 r 2 Lenses lens equation (for a thin lens) 1 1 1 ---- = (η η ) ------ - ------ f r 1 r 2 Where object o f = focal length η = refractive index of lens material η = refractive index of adjacent material r 1

More information

THE INFLUENCE OF SURFACE ROUGHNESS ON THE REFRACTION OF X-RAYS AND ITS EFFECT ON BRAGG PEAK POSITIONS

THE INFLUENCE OF SURFACE ROUGHNESS ON THE REFRACTION OF X-RAYS AND ITS EFFECT ON BRAGG PEAK POSITIONS Copyright JCPDS - International Centre for Diffraction Data 2003, Advances in X-ray Analysis, Volume 46. 232 THE INFLUENCE OF SURFACE ROUGHNESS ON THE REFRACTION OF X-RAYS AND ITS EFFECT ON BRAGG PEAK

More information

Electricity & Optics

Electricity & Optics Physics 24100 Electricity & Optics Lecture 27 Chapter 33 sec. 7-8 Fall 2017 Semester Professor Koltick Clicker Question Bright light of wavelength 585 nm is incident perpendicularly on a soap film (n =

More information

Chapter 24. Wave Optics

Chapter 24. Wave Optics Chapter 24 Wave Optics Diffraction Huygen s principle requires that the waves spread out after they pass through slits This spreading out of light from its initial line of travel is called diffraction

More information

Ralf K. Heilmann CAT-GS: Critical-Angle Transmission Grating Spectrometer January 27,

Ralf K. Heilmann CAT-GS: Critical-Angle Transmission Grating Spectrometer January 27, Ralf K. Heilmann CAT-GS: Critical-Angle Transmission Grating Spectrometer January 27, 2009 1 Overview of CAT-GS Mission requirements: Effective area > 1000 cm 2 (0.3 1 kev) Spectral resolution E/ΔE > 3000

More information

Deflecting & Shuttering Laser Beams Often need to scan laser beam over an area Also need change CW or long pulse to short pulse Use motor driven

Deflecting & Shuttering Laser Beams Often need to scan laser beam over an area Also need change CW or long pulse to short pulse Use motor driven Deflecting & Shuttering Laser Beams Often need to scan laser beam over an area Also need change CW or long pulse to short pulse Use motor driven mirror system Scanning mirror systems: 1 or 2 axis scanners

More information

Analysis of Slanted Gratings for Lightguide Coupling

Analysis of Slanted Gratings for Lightguide Coupling Analysis of Slanted Gratings for Lightguide Coupling Abstract Slanted gratings are commonly used for coupling light into optical lightguides due to their high efficiency in a certain diffraction order.

More information

SCINTILLATORS-SiPM COUPLING

SCINTILLATORS-SiPM COUPLING SCINTILLATORS-SiPM COUPLING G.FELICI LNF-INFN SCINTILLATOR ßàSIPM 1 st PROBLEM: EJ-200 peak emission spectrum do not match S18825 peak sensitivity AMPLITUDE 1.0 0.8 0.6 0.4 0.2 EJ-200 EMISSION SPECTRUM

More information

Diffraction and Interference of Plane Light Waves

Diffraction and Interference of Plane Light Waves PHY 92 Diffraction and Interference of Plane Light Waves Diffraction and Interference of Plane Light Waves Introduction In this experiment you will become familiar with diffraction patterns created when

More information

Interference. Electric fields from two different sources at a single location add together. The same is true for magnetic fields at a single location.

Interference. Electric fields from two different sources at a single location add together. The same is true for magnetic fields at a single location. Interference Electric fields from two different sources at a single location add together. The same is true for magnetic fields at a single location. Thus, interacting electromagnetic waves also add together.

More information

OPC flare and optical modeling requirements for EUV

OPC flare and optical modeling requirements for EUV OPC flare and optical modeling requirements for EUV Lena Zavyalova, Kevin Lucas, Brian Ward*, Peter Brooker Synopsys, Inc., Austin, TX, USA 78746 *Synopsys assignee to IMEC, Leuven, Belgium B3001 1 Abstract

More information

Diffraction from small and large circular apertures

Diffraction from small and large circular apertures Diffraction from small and large circular apertures Far-field intensity pattern from a small aperture Recall the Scale Theorem! This is the Uncertainty Principle for diffraction. Far-field intensity pattern

More information

Chapter 2: Wave Optics

Chapter 2: Wave Optics Chapter : Wave Optics P-1. We can write a plane wave with the z axis taken in the direction of the wave vector k as u(,) r t Acos tkzarg( A) As c /, T 1/ and k / we can rewrite the plane wave as t z u(,)

More information

d has a relationship with ψ

d has a relationship with ψ Principle of X-Ray Stress Analysis Metallic materials consist of innumerable crystal grains. Each grain usually faces in a random direction. When stress is applied on such materials, the interatomic distance

More information

E x Direction of Propagation. y B y

E x Direction of Propagation. y B y x E x Direction of Propagation k z z y B y An electromagnetic wave is a travelling wave which has time varying electric and magnetic fields which are perpendicular to each other and the direction of propagation,

More information

Michelson Interferometer

Michelson Interferometer Michelson Interferometer The Michelson interferometer uses the interference of two reflected waves The third, beamsplitting, mirror is partially reflecting ( half silvered, except it s a thin Aluminum

More information

Chapter 38. Diffraction Patterns and Polarization

Chapter 38. Diffraction Patterns and Polarization Chapter 38 Diffraction Patterns and Polarization Diffraction Light of wavelength comparable to or larger than the width of a slit spreads out in all forward directions upon passing through the slit This

More information

Physical Optics. 1 st year physics laboratories. University of Ottawa.

Physical Optics. 1 st year physics laboratories. University of Ottawa. Physical Optics 1 st year physics laboratories University of Ottawa https://uottawa.brightspace.com/d2l/home INTRODUCTION Physical optics deals with light as a wave which can bend around obstacles (diffraction)

More information

Diffraction-based approaches to the in-situ measurement of dimensional variations in components produced by thermoplastic micro- and nano-embossing

Diffraction-based approaches to the in-situ measurement of dimensional variations in components produced by thermoplastic micro- and nano-embossing Diffraction-based approaches to the in-situ measurement of dimensional variations in components produced by thermoplastic micro- and nano-embossing Hayden Taylor and Duane Boning 23 January 2008 Microsystems

More information

Holographic Elements in Solar Concentrator and Collection Systems

Holographic Elements in Solar Concentrator and Collection Systems Holographic Elements in Solar Concentrator and Collection Systems Raymond K. Kostuk,2, Jose Castro, Brian Myer 2, Deming Zhang and Glenn Rosenberg 3 Electrical and Computer Engineering, Department University

More information

Extreme Ultraviolet Phase Contrast Imaging

Extreme Ultraviolet Phase Contrast Imaging Extreme Ultraviolet Phase Contrast Imaging Gregory Denbeaux 1, Rashi Garg 1, Andy Aquila 2, Anton Barty 3, Kenneth Goldberg 2, Eric Gullikson 2, Yanwei Liu 2, Obert Wood 4 1, University at Albany, Albany,

More information

Condenser Optics for Dark Field X-Ray Microscopy

Condenser Optics for Dark Field X-Ray Microscopy Condenser Optics for Dark Field X-Ray Microscopy S. J. Pfauntsch, A. G. Michette, C. J. Buckley Centre for X-Ray Science, Department of Physics, King s College London, Strand, London WC2R 2LS, UK Abstract.

More information

To determine the wavelength of laser light using single slit diffraction

To determine the wavelength of laser light using single slit diffraction 9 To determine the wavelength of laser light using single slit diffraction pattern 91 Apparatus: Helium-Neon laser or diode laser, a single slit with adjustable aperture width, optical detector and power

More information

Advanced modelling of gratings in VirtualLab software. Site Zhang, development engineer Lignt Trans

Advanced modelling of gratings in VirtualLab software. Site Zhang, development engineer Lignt Trans Advanced modelling of gratings in VirtualLab software Site Zhang, development engineer Lignt Trans 1 2 3 4 Content Grating Order Analyzer Rigorous Simulation of Holographic Generated Volume Grating Coupled

More information

Multilayer EUV optics with integrated IR suppression gratings

Multilayer EUV optics with integrated IR suppression gratings Multilayer EUV optics with integrated IR suppression gratings Torsten Feigl, Marco Perske, Hagen Pauer, Tobias Fiedler optix fab GmbH Uwe Zeitner, Robert Leitel, Hans-Christoph Eckstein, Philipp Schleicher,

More information

Structural Colours through Photonic Crystals

Structural Colours through Photonic Crystals Structural Colours through Photonic Crystals R.C. McPhedran, N. Nicorovici, D. R. McKenzie, G. Rouse and M.Large, University of Sydney, L.C. Botten, University of Technology Sydney, A. Parker, V. Welch,

More information

Layered media and photonic crystals. Cord Arnold / Anne L Huillier

Layered media and photonic crystals. Cord Arnold / Anne L Huillier Layered media and photonic crystals Cord Arnold / Anne L Huillier Definition A photonic crystal is a periodic arrangement of a dielectric material that exhibits strong interaction with light Variation

More information

Dynamical Theory of X-Ray Diffraction

Dynamical Theory of X-Ray Diffraction Dynamical Theory of X-Ray Diffraction ANDRE AUTHIER Universite P. et M. Curie, Paris OXFORD UNIVERSITY PRESS Contents I Background and basic results 1 1 Historical developments 3 1.1 Prologue 3 1.2 The

More information

LIGHT SCATTERING THEORY

LIGHT SCATTERING THEORY LIGHT SCATTERING THEORY Laser Diffraction (Static Light Scattering) When a Light beam Strikes a Particle Some of the light is: Diffracted Reflected Refracted Absorbed and Reradiated Reflected Refracted

More information

Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry

Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry J. Europ. Opt. Soc. Rap. Public. 9, 143 (14) www.jeos.org Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry H. Gross hermann.gross@ptb.de Department

More information

APPLICATION OF Ni/C-GÖBEL MIRRORS AS PARALLEL BEAM X-RAY OPTICS FOR Cu Ka AND Mo Ka RADIATION

APPLICATION OF Ni/C-GÖBEL MIRRORS AS PARALLEL BEAM X-RAY OPTICS FOR Cu Ka AND Mo Ka RADIATION Copyright(c)JCPDS-International Centre for Diffraction Data 2000,Advances in X-ray Analysis,Vol.43 212 APPLICATION OF Ni/C-GÖBEL MIRRORS AS PARALLEL BEAM X-RAY OPTICS FOR AND RADIATION T. Holz, R. Dietsch,

More information

PHYS 3410/6750: Modern Optics Midterm #2

PHYS 3410/6750: Modern Optics Midterm #2 Name: PHYS 3410/6750: Modern Optics Midterm #2 Wednesday 16 November 2011 Prof. Bolton Only pen or pencil are allowed. No calculators or additional materials. PHYS 3410/6750 Fall 2011 Midterm #2 2 Problem

More information

axis, and wavelength tuning is achieved by translating the grating along a scan direction parallel to the x

axis, and wavelength tuning is achieved by translating the grating along a scan direction parallel to the x Exponential-Grating Monochromator Kenneth C. Johnson, October 0, 08 Abstract A monochromator optical design is described, which comprises a grazing-incidence reflection and two grazing-incidence mirrors,

More information

ACCURATE TEXTURE MEASUREMENTS ON THIN FILMS USING A POWDER X-RAY DIFFRACTOMETER

ACCURATE TEXTURE MEASUREMENTS ON THIN FILMS USING A POWDER X-RAY DIFFRACTOMETER ACCURATE TEXTURE MEASUREMENTS ON THIN FILMS USING A POWDER X-RAY DIFFRACTOMETER MARK D. VAUDIN NIST, Gaithersburg, MD, USA. Abstract A fast and accurate method that uses a conventional powder x-ray diffractometer

More information

Chapter 36. Diffraction. Dr. Armen Kocharian

Chapter 36. Diffraction. Dr. Armen Kocharian Chapter 36 Diffraction Dr. Armen Kocharian Diffraction Light of wavelength comparable to or larger than the width of a slit spreads out in all forward directions upon passing through the slit This phenomena

More information

Experiment 8 Wave Optics

Experiment 8 Wave Optics Physics 263 Experiment 8 Wave Optics In this laboratory, we will perform two experiments on wave optics. 1 Double Slit Interference In two-slit interference, light falls on an opaque screen with two closely

More information

Light. Form of Electromagnetic Energy Only part of Electromagnetic Spectrum that we can really see

Light. Form of Electromagnetic Energy Only part of Electromagnetic Spectrum that we can really see Light Form of Electromagnetic Energy Only part of Electromagnetic Spectrum that we can really see Facts About Light The speed of light, c, is constant in a vacuum. Light can be: REFLECTED ABSORBED REFRACTED

More information

Chapter 38 Wave Optics (II)

Chapter 38 Wave Optics (II) Chapter 38 Wave Optics (II) Initiation: Young s ideas on light were daring and imaginative, but he did not provide rigorous mathematical theory and, more importantly, he is arrogant. Progress: Fresnel,

More information

MID: Materials Imaging and Dynamics Instrument

MID: Materials Imaging and Dynamics Instrument MID: Materials Imaging and Dynamics Instrument A. Madsen 1,*, J. Hallmann 1, T. Roth 1, G. Ansaldi 1, W. Lu 1,2 1 European XFEL 2 Technische Universität Berlin * anders.madsen@xfel.eu XFEL User Meeting

More information

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ =

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ = Radiometry (From Intro to Optics, Pedrotti -4) Radiometry is measurement of Emag radiation (light) Consider a small spherical source Total energy radiating from the body over some time is Q total Radiant

More information

Time-Resolved measurements by FEL spontaneous emission: A proposal for sub-picosecond pumps & probe structural and spectrometric investigations

Time-Resolved measurements by FEL spontaneous emission: A proposal for sub-picosecond pumps & probe structural and spectrometric investigations Time-Resolved measurements by FEL spontaneous emission: A proposal for sub-picosecond pumps & probe structural and spectrometric investigations V. Rossi Albertini, B. Paci & P. Perfetti Istituto di Struttura

More information

PHYSICS. Chapter 33 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 33 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 33 Lecture RANDALL D. KNIGHT Chapter 33 Wave Optics IN THIS CHAPTER, you will learn about and apply the wave model of light. Slide

More information

Lecture 16 Diffraction Ch. 36

Lecture 16 Diffraction Ch. 36 Lecture 16 Diffraction Ch. 36 Topics Newtons Rings Diffraction and the wave theory Single slit diffraction Intensity of single slit diffraction Double slit diffraction Diffraction grating Dispersion and

More information

G3 TWO-SOURCE INTERFERENCE OF WAVES

G3 TWO-SOURCE INTERFERENCE OF WAVES G3 TWO-SOURCE INTERFERENCE OF WAVES G4 DIFFRACTION GRATINGS HW/Study Packet Required: READ Tsokos, pp 624-631 SL/HL Supplemental: Hamper, pp 424-428 DO Questions pp 631-632 #1,3,8,9,10 REMEMBER TO. Work

More information

Study of Air Bubble Induced Light Scattering Effect On Image Quality in 193 nm Immersion Lithography

Study of Air Bubble Induced Light Scattering Effect On Image Quality in 193 nm Immersion Lithography Study of Air Bubble Induced Light Scattering Effect On Image Quality in 193 nm Immersion Lithography Y. Fan, N. Lafferty, A. Bourov, L. Zavyalova, B. W. Smith Rochester Institute of Technology Microelectronic

More information

Wave Phenomena Physics 15c. Lecture 19 Diffraction

Wave Phenomena Physics 15c. Lecture 19 Diffraction Wave Phenomena Physics 15c Lecture 19 Diffraction What We Did Last Time Studied interference > waves overlap Amplitudes add up Intensity = (amplitude) does not add up Thin-film interference Reflectivity

More information

Physical Optics. You can observe a lot just by watching. Yogi Berra ( )

Physical Optics. You can observe a lot just by watching. Yogi Berra ( ) Physical Optics You can observe a lot just by watching. Yogi Berra (1925-2015) OBJECTIVES To observe some interference and diffraction phenomena with visible light. THEORY In a previous experiment you

More information

Chapter 36. Diffraction. Copyright 2014 John Wiley & Sons, Inc. All rights reserved.

Chapter 36. Diffraction. Copyright 2014 John Wiley & Sons, Inc. All rights reserved. Chapter 36 Diffraction Copyright 36-1 Single-Slit Diffraction Learning Objectives 36.01 Describe the diffraction of light waves by a narrow opening and an edge, and also describe the resulting interference

More information

Image Degradation due to Phase Effects in Chromeless Phase Lithography

Image Degradation due to Phase Effects in Chromeless Phase Lithography Image Degradation due to Phase Effects in Chromeless Phase Lithography Karsten Bubke *, Martin Sczyrba, KT Park, Ralf Neubauer, Rainer Pforr 2, Jens Reichelt 2, Ralf Ziebold 2 Advanced Mask Technology

More information

LUSI SUB-SYSTEM XCS Physics Requirements for the LUSI Large Offset Monochromator. Doc. No. SP R0

LUSI SUB-SYSTEM XCS Physics Requirements for the LUSI Large Offset Monochromator. Doc. No. SP R0 PHYSICS REQUIREMENT DOCUMENT (PRD) Doc. No. SP-391-00-16 R0 LUSI SUB-SYSTEM XCS Physics Requirements for the Aymeric Robert Author, LUSI Scientist Signature Date David Fritz LUSI Scientist Signature Date

More information

Where n = 0, 1, 2, 3, 4

Where n = 0, 1, 2, 3, 4 Syllabus: Interference and diffraction introduction interference in thin film by reflection Newton s rings Fraunhofer diffraction due to single slit, double slit and diffraction grating Interference 1.

More information

12/7/2012. Biomolecular structure. Diffraction, X-ray crystallography, light- and electron microscopy. CD spectroscopy, mass spectrometry

12/7/2012. Biomolecular structure. Diffraction, X-ray crystallography, light- and electron microscopy. CD spectroscopy, mass spectrometry phase difference at a given distance constructive/destructive interference Biomolecular structure. Diffraction, X-ray crystallography, light- and electron microscopy. CD spectroscopy, mass spectrometry

More information

Optical simulations within and beyond the paraxial limit

Optical simulations within and beyond the paraxial limit Optical simulations within and beyond the paraxial limit Daniel Brown, Charlotte Bond and Andreas Freise University of Birmingham 1 Simulating realistic optics We need to know how to accurately calculate

More information

Light. Electromagnetic wave with wave-like nature Refraction Interference Diffraction

Light. Electromagnetic wave with wave-like nature Refraction Interference Diffraction Light Electromagnetic wave with wave-like nature Refraction Interference Diffraction Light Electromagnetic wave with wave-like nature Refraction Interference Diffraction Photons with particle-like nature

More information

arxiv: v1 [physics.ins-det] 6 Jun 2014

arxiv: v1 [physics.ins-det] 6 Jun 2014 The design of a high flux VUV beamline for low energy photons Jiajia Wang 1, Mao Ye 2, Tan Shi 1, Rui Chang 2, and Shan Qiao 2 3 1. Physics Department, Laboratory of advanced Materials and Surface Physics

More information

PHYS 3410/3411/6750/6751: Modern Optics Midterm #2

PHYS 3410/3411/6750/6751: Modern Optics Midterm #2 Name: PHYS 3410/3411/6750/6751: Modern Optics Midterm #2 Wednesday 17 November 2010 Prof. Bolton Only pen or pencil are allowed. No calculators or additional materials. PHYS 3410/3411/6750/6751 Midterm

More information

Microscopy. Marc McGuigan North Quincy High School Thursday, May 11, 2006

Microscopy. Marc McGuigan North Quincy High School Thursday, May 11, 2006 Microscopy Marc McGuigan North Quincy High School Thursday, May 11, 006 Outline Activity Introduction Electromagnetic Spectrum Visible Light Light Microscope AFM Scanning Electron Microscopy Near-Field

More information

Computational Lithography Turning Physics into Yield

Computational Lithography Turning Physics into Yield Computational Lithography Turning Physics into Yield Tim Fühner Fraunhofer IISB Erlangen, Germany SEMICON Europa, TechArena, 11.10.2012 Lithography Modeling 2 SEMICON Europa, TechArena, 11.10.2012 Computational

More information

Dr. Quantum. General Physics 2 Light as a Wave 1

Dr. Quantum. General Physics 2 Light as a Wave 1 Dr. Quantum General Physics 2 Light as a Wave 1 The Nature of Light When studying geometric optics, we used a ray model to describe the behavior of light. A wave model of light is necessary to describe

More information

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ =

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ = Radiometry (From Intro to Optics, Pedrotti -4) Radiometry is measurement of Emag radiation (light) Consider a small spherical source Total energy radiating from the body over some time is Q total Radiant

More information

Imaging Sphere Measurement of Luminous Intensity, View Angle, and Scatter Distribution Functions

Imaging Sphere Measurement of Luminous Intensity, View Angle, and Scatter Distribution Functions Imaging Sphere Measurement of Luminous Intensity, View Angle, and Scatter Distribution Functions Hubert Kostal, Vice President of Sales and Marketing Radiant Imaging, Inc. 22908 NE Alder Crest Drive, Suite

More information

L 32 Light and Optics [3]

L 32 Light and Optics [3] L 32 Light and Optics [3] Measurements of the speed of light The bending of light refraction Total internal reflection Dispersion Dispersion Rainbows Atmospheric scattering Blue sky red sunsets Light and

More information

Dr. Larry J. Paxton Johns Hopkins University Applied Physics Laboratory Laurel, MD (301) (301) fax

Dr. Larry J. Paxton Johns Hopkins University Applied Physics Laboratory Laurel, MD (301) (301) fax Dr. Larry J. Paxton Johns Hopkins University Applied Physics Laboratory Laurel, MD 20723 (301) 953-6871 (301) 953-6670 fax Understand the instrument. Be able to convert measured counts/pixel on-orbit into

More information

Length, Germany, PTB (Physikalisch-Technische Bundesanstalt)

Length, Germany, PTB (Physikalisch-Technische Bundesanstalt) Laser radiations Laser radiations Laser radiations Laser radiations Length Length Frequency stabilized laser (He- Ne): vacuum wavelength Frequency stabilized laser (He- Ne): absolute frequency Frequency

More information

AP Physics Problems -- Waves and Light

AP Physics Problems -- Waves and Light AP Physics Problems -- Waves and Light 1. 1975-4 (Physical Optics) a. Light of a single wavelength is incident on a single slit of width w. (w is a few wavelengths.) Sketch a graph of the intensity as

More information

Optical twist measurement by scatterometry

Optical twist measurement by scatterometry DOI 6/opto3/o. Optical twist measurement by scatterometry A. Hertzsch, K. Kröger, M. Großmann INNOVENT Technology Development, Prüssingstr. 7B, 7745 Jena, Germany ah4@innovent-jena.de Abstract: To ensure

More information

Module 18: Diffraction-I Lecture 18: Diffraction-I

Module 18: Diffraction-I Lecture 18: Diffraction-I Module 18: iffraction-i Lecture 18: iffraction-i Our discussion of interference in the previous chapter considered the superposition of two waves. The discussion can be generalized to a situation where

More information

Development of EUV wavefront metrology system (EWMS)

Development of EUV wavefront metrology system (EWMS) Development of EUV wavefront metrology system (EWMS) October 18, 2006 Katsuhiko Murakami, Katsumi Sugisaki, Masashi Okada, Katsura Ohtaki, Zhu Yucong, Zhiqian Liu, Jun Saito, Chidane Ouchi, Seima Kato,

More information

Physics 202, Lecture 23

Physics 202, Lecture 23 Physics 202, Lecture 23 Today s Topics Lights and Laws of Geometric Optics Nature of Light Reflection and Refraction Law of Reflection Law of Refraction Index of Reflection, Snell s Law Total Internal

More information

Progress of the Thomson Scattering Experiment on HSX

Progress of the Thomson Scattering Experiment on HSX Progress of the Thomson Scattering Experiment on HSX K. Zhai, F.S.B. Anderson, D.T. Anderson HSX Plasma Laboratory, UW-Madison Bill Mason PSL, UW-Madison, The Thomson scattering system being constructed

More information

6-1 LECTURE #6: OPTICAL PROPERTIES OF SOLIDS. Basic question: How do solids interact with light? The answers are linked to:

6-1 LECTURE #6: OPTICAL PROPERTIES OF SOLIDS. Basic question: How do solids interact with light? The answers are linked to: LECTURE #6: OPTICAL PROPERTIES OF SOLIDS Basic question: How do solids interact with light? The answers are linked to: Properties of light inside a solid Mechanisms behind light reflection, absorption

More information

Tony Warwick Advanced Light Source Lawrence Berkeley National Laboratory

Tony Warwick Advanced Light Source Lawrence Berkeley National Laboratory Synchrotron Beam Lines Stanford-Berkeley Summer School on Synchrotron Radiation June 13-17 th 2005 Tony Warwick Advanced Light Source Lawrence Berkeley National Laboratory ALS delivers (soft) x-rays 1.9

More information

X-rays are electro-magnetic radiation

X-rays are electro-magnetic radiation X-rays are electro-magnetic radiation Just like visible light, X-rays are waves - cos[ 2π ( x / λ ft)] X-rays travel at the speed of light (c) Quantum Mechanics gives the energy of an X-ray photon c =

More information

Spectrographs. C. A. Griffith, Class Notes, PTYS 521, 2016 Not for distribution.

Spectrographs. C. A. Griffith, Class Notes, PTYS 521, 2016 Not for distribution. Spectrographs C A Griffith, Class Notes, PTYS 521, 2016 Not for distribution 1 Spectrographs and their characteristics A spectrograph is an instrument that disperses light into a frequency spectrum, which

More information

Diffraction. * = various kinds of interference effects. For example why beams of light spread out. Colors on CDs. Diffraction gratings.

Diffraction. * = various kinds of interference effects. For example why beams of light spread out. Colors on CDs. Diffraction gratings. Diffraction * Ken Intriligator s week 10 lecture, Dec.3, 2013 * = various kinds of interference effects. For example why beams of light spread out. Colors on CDs. Diffraction gratings. E.g. : Shadow edges

More information

Tutorial Solutions. 10 Holographic Applications Holographic Zone-Plate

Tutorial Solutions. 10 Holographic Applications Holographic Zone-Plate 10 Holographic Applications 10.1 Holographic Zone-Plate Tutorial Solutions Show that if the intensity pattern for on on-axis holographic lens is recorded in lithographic film, then a one-plate results.

More information