Total Internal Reflection Fluorescence (TIRF) and Evanescence Microscopies Biophysical Society–IOP Series Committee Chairperson Les Satin University of Michigan, USA Editorial Advisory Board Members Geoffrey Winston Abbott Da-Neng Wang UC Irvine, USA New York University, USA Mibel Aguilar Kathleen Hall Monash University, Australia WashingtonUniversityinStLouis,USA Cynthia Czajkowski David Sept University of Wisconsin, USA University of Michigan, USA Miriam Goodman Andrea Meredith Stanford University, USA University of Maryland, USA Jim Sellers Leslie M Loew NIH, USA University of Connecticut School of Medicine, USA Joe Howard Yale University, USA Meyer Jackson University of Wisconsin, USA About the Series The BiophysicalSociety and IOPPublishing have forged anew publishing partner- ship in biophysics, bringing the world-leading expertise and domain knowledge of the Biophysical Society into the rapidly developing IOP ebooks program. The program publishes textbooks, monographs, reviews, and handbooks covering all areas of biophysics research, applications, education, methods, computational tools, and techniques. Subjects of the collection will include: bioenergetics; bioengin- eering; biological fluorescence; biopolymers in vivo; cryo-electron microscopy; exocy- tosis and endocytosis; intrinsically disordered proteins; mechanobiology; membrane biophysics; membrane structure and assembly; molecular biophysics; motility and cytoskeleton; nanoscale biophysics; and permeation and transport. A full list of titles published in this series can be found here: https://iopscience.iop. org/bookListInfo/iop-series-in-biophysical-society. Total Internal Reflection Fluorescence (TIRF) and Evanescence Microscopies Daniel Axelrod Department of Physics, LSA Biophysics, University of Michigan, Ann Arbor, MI, USA IOP Publishing, Bristol, UK ªIOPPublishingLtd2022 Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording orotherwise,withoutthepriorpermissionofthepublisher,orasexpresslypermittedbylawor undertermsagreedwiththeappropriaterightsorganization.Multiplecopyingispermittedin accordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency,theCopyright ClearanceCentreandotherreproductionrightsorganizations. PermissiontomakeuseofIOPPublishingcontentotherthanassetoutabovemaybesought [email protected]. DanielAxelrodhasassertedhisrighttobeidentifiedastheauthorofthisworkinaccordancewith sections77and78oftheCopyright,DesignsandPatentsAct1988. ISBN 978-0-7503-3351-1(ebook) ISBN 978-0-7503-3349-8(print) ISBN 978-0-7503-3352-8(myPrint) ISBN 978-0-7503-3350-4(mobi) DOI 10.1088/978-0-7503-3351-1 Version:20220901 IOPebooks BritishLibraryCataloguing-in-PublicationData:Acataloguerecordforthisbookisavailable fromtheBritishLibrary. PublishedbyIOPPublishing,whollyownedbyTheInstituteofPhysics,London IOPPublishing,TempleCircus,TempleWay,Bristol,BS16HG,UK USOffice:IOPPublishing,Inc.,190NorthIndependenceMallWest,Suite601,Philadelphia, PA19106,USA Contents Preface and acknowledgments ix Author biography xi 1 Introduction to optical evanescence 1-1 1.1 Overview 1-1 1.2 Applications to biochemistry and cell biology 1-2 1.2.1 Cell/substrate contact regions 1-2 1.2.2 Long-term videos of living cells 1-2 1.2.3 Secretory granule tracking and exocytosis 1-2 1.2.4 Single molecules 1-3 1.2.5 Reversibly bound and mobile fluorescent ligands on cells and 1-4 biosurfaces 1.2.6 Cytoplasmic filaments 1-4 1.2.7 Calcium channels and transients 1-5 1.2.8 CRISPR 1-5 1.2.9 Orientational distributions of fluorescent molecules at a surface 1-5 1.2.10 Combinations and comparisons with other microscopy 1-5 techniques 1.3 Ray picture of total internal reflection 1-7 1.4 Maxwell’s equations and wave numbers 1-7 1.5 Causes of evanescence: a physical view 1-9 1.5.1 Total internal reflection 1-10 1.5.2 Small aperture 1-11 1.5.3 Waveguides 1-13 1.5.4 Near-field emission 1-13 Further reading 1-14 2 Total internal reflection theory 2-1 2.1 Rays and TIR 2-1 2.2 Waves and TIR 2-2 2.3 Evanescent intensity 2-6 2.4 Finite-width incident beams: the Goos–Hänchen shift 2-9 2.5 Reflected intensities 2-11 Further reading 2-14 v TotalInternalReflectionFluorescence(TIRF)andEvanescenceMicroscopies 3 Structure in the lower-index material 3-1 3.1 Light absorption in medium 1 3-1 3.2 Intermediate layers 3-3 3.2.1 Field and intensity in medium 1 (z ≥ 0) 3-5 3.2.2 Field and intensity in medium 2 (−h < z < 0) 3-9 3.2.3 Field and intensity in medium 3 (z < − h) 3-10 3.3 Metal films and surface plasmons 3-11 3.4 Slab waveguides 3-13 3.5 Total internal reflection scattering 3-17 3.5.1 Fundamental equations 3-18 3.5.2 Parameter definitions 3-20 3.5.3 Green’s function solution for the perturbative approach 3-21 3.5.4 Inclusion of the local case r = r′ 3.22 3.5.5 Reporting surface selectivity: intensity and 3-24 evanescent depth Further reading 3-26 4 Emission of fluorophores near a surface 4-1 4.1 The emission near field: a semi-qualitative view 4-2 4.2 Capture of the near field: summary of quantitative theory 4-5 4.3 Polarization of the emitted electric field 4-9 4.4 Emitted intensity and total power 4-10 4.5 Emitted intensity vs polar angle 4-12 4.6 Total fluorescence collection through a microscope objective 4-15 4.6.1 Single dipole: integration over azimuthal angles 4-15 4.6.2 Single dipole: integration over polar angles 4-16 4.6.3 Distribution of dipoles 4-17 4.7 Pattern at the back focal plane 4-19 4.8 Characterization of films with supercritical-emission light 4-22 4.9 Effect of metal films on fluorescence emission 4-22 4.10 Pattern at the image plane 4-26 4.10.1 Approximation of the PSF: the 2D Airy disk 4-26 4.10.2 Full calculation of the PSF 4-32 4.11 Virtual supercritical angle fluorescence microscopy (vSAF) 4-33 4.12 Emission polarization including supercritical light 4-34 4.13 SAF/UAF: measurement of the absolute distance between 4-35 a fluorophore and a surface vi TotalInternalReflectionFluorescence(TIRF)andEvanescenceMicroscopies 4.14 Effect of near-field capture on fluorescence lifetime 4-36 Further reading 4-37 5 Optical configurations and setup 5-1 5.1 Inverted microscope TIR with prism above 5-2 5.2 Inverted microscope TIR with prism below 5-5 5.3 Upright microscope TIR with prism below 5-6 5.4 Objective-based TIR 5-7 5.4.1 Focus at the back focal plane (BFP) 5-7 5.4.2 Illumination area in the field of view 5-10 5.5 Incidence angle, multicolor, and polarization control 5-11 5.5.1 Sample plane, back focal plane, and their equivalents 5-12 5.5.2 Polar incidence angle control 5-12 5.5.3 Azimuthal incidence angle control 5-13 5.5.4 Switching excitation colors 5-14 5.5.5 Excitation polarization control 5-15 5.6 Alignment 5-15 5.7 Rapid chopping between TIR and epi-illumination 5-17 5.8 Supercritical-angle fluorescence (SAF) emission setup 5-17 5.9 Imaging the back focal plane directly 5-19 5.10 Measurement of evanescent field depth 5-20 5.11 TIRF–structured illumination microscopy (TIRF–SIM) 5-22 5.11.1 Single-spot TIR with converging illumination 5-22 5.11.2 Array of TIR spots 5-25 5.11.3 Periodic sine-wave pattern 5-26 5.11.4 Periodic pattern for image enhancement 5-27 5.11.5 Spot TIR with collimated light 5-29 Further reading 5-31 6 Applications of TIRF microscopy and its combination 6-1 with other fluorescence techniques 6.1 Refractive indices in cell cultures 6-1 6.2 Axial position and motion of cell components 6-3 6.3 Quenching with a metal film 6-10 6.4 Image sharpening in TIR 6-11 6.5 Polarized excitation TIRF 6-12 6.6 Variable-depth TIRF 6-17 vii TotalInternalReflectionFluorescence(TIRF)andEvanescenceMicroscopies 6.7 Optical force in an evanescent field 6-18 6.8 TIR/FCS and TIR/FRAP 6-20 6.8.1 Adsorption/desorption chemical kinetics 6-20 6.8.2 Characteristic rates 6-26 6.8.3 R 6-28 R 6.8.4 R 6-28 BND 6.8.5 R 6-29 SD 6.8.6 R 6-29 BLD 6.8.7 Limiting solutions for an infinite observation area 6-29 6.8.8 Solutions for a finite observation area 6-30 6.8.9 TIR/FCS/FRAP to measure the diffusion coefficient in solution 6-32 6.8.10 Absolute concentrations: single component 6-33 6.8.11 Absolute concentration: mixed components 6-35 6.8.12 Higher order TIR-FCS 6-37 6.8.13 TIR/FRAP in a sub-resolution confined volume: a spherical 6-37 secretory granule 6.8.14 Spatially-resolved TIR/FRAP 6-45 6.8.15 TIR/FRAP with sine wave 6-46 6.9 TIR-continuous photobleaching 6-48 6.10 TIR-FRET 6-51 6.11 Two-photon TIRF 6-51 6.11.1 Two-photon theory 6-52 6.11.2 Reduction of scattering effect 6-57 6.11.3 Requirement for high intensity 6-58 6.11.4 Two-photon sine-wave-pattern TIRF 6-59 6.11.5 Two-photon excitation with slab waveguides 6-60 Further reading 6-61 viii Preface and acknowledgments This book is intended as a ‘one-stop shopping’ exposition of the theory and setup details of evanescence microscopy—in particular, total internal reflection fluores- cence (TIRF) and supercritical-angle fluorescence. It also includes discussions of manyofthecombinationsofTIRFwithothertechniques.Everysection‘startsfrom the beginning’ so it should be readable by anyone with a science background that includes some physics and math. Most sections proceed to fairly advanced details. Hopefully,thiswillmakethebookusableasaresearchreferenceaswellasatrigger for new ideas. In addition to the formal math, a physically intuitive explanation is provided wherever possible. Also, the topics and explanations here will hopefully not go out of date too soon, because they focus on the fundamentals underpinning the techniques. If any important techniques of optical evanescent microscopy have notbeenadequatelycovered,Iapologize,andIwouldverymuchliketohearabout them and possibly include them in future updates if necessary. ThereisonethingthatthisTIRFbookisnot.Itisnotintendedasareviewofthe many cell biology questions to which TIRF has been applied. The biological applications discussed here are included only because they illustrate the technique employedinstudyingthem.Therefore, thereferencelists(‘FurtherReading’ listsat theendofeachchapter)arelimitedtoasubsetofpublishedworksthatprovidemore detail on the theory and techniques. Many people have contributed to the writing in this book, whether intentionally or inadvertently. First, of course, are those people who are direct coauthors of particular sections, without whom those sections would not even exist here. This group (listed here with their most recent affiliations) includes my former graduate students in Physics at the University of Michigan, Nancy L Thompson (Dept. of Chemistry,UniversityofNorthCarolina,ChapelHill)andEdwardHHellen(Dept. of Physics, University of North Carolina, Greensboro). It also includes Geneva M Omann (Dept. of Biological Chemistry, University of Michigan) and Jeremy J Axelrod (Dept. of Physics, University of California, Berkeley). They were inten- tional contributors. An important but inadvertent contributor was Melvyn N Kronick, who I only fortuitously knew during a one week overlap while he was starting a postdoc at Berkeley just as I was finishing up there in Melvin P Klein’s researchgroup.MelvynintroducedmetotheexistenceofTIRF(non-microscopic), the topic of his PhD thesis at Stanford in William Little’s research group. IalsothankDrJeromeMertz(BostonUniversity),DrPaulSelvin(Universityof Illinois), Dr Bethe Scalettar (Lewis and Clark College), and Dr James Abney (Portland, OR) for useful discussions about diverse aspects of fluorescence micro- scopy, and Sharon Axelrod for help with a literature search of TIRF applications. I have benefited from collaborations with many researchers at the University of Michigan,someofwhomhavebeeninvolvedinTIRFapplicationswithmygroup, andwhogenerallyprovidedthebiologicalexpertisethatIlack.Mylongtimefriend andcolleagueRonaldVHolz(Dept.ofPharmacology)wasabsolutelyinvaluablein enrichingmyscientificcareer(andextendingitwellpast‘retirement’).Ourpostdocs ix