+ All Categories
Home > Documents > Diffra ag Diffraction...

Diffra ag Diffraction...

Date post: 19-Aug-2020
Category:
Upload: others
View: 7 times
Download: 0 times
Share this document with a friend
9
• Reflection Gratings • Transmission Gratings • Ruled and Holographic Gratings • Beamsplitters • UV-VIS-NIR For Applications In: Chemistry Physics Life Science Engineering Communications Diffraction Gratings Optometrics Corporation Wavelength Selection Solutions
Transcript
Page 1: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 1email: [email protected] www.optometrics.comOptometrics Corporation

• ReflectionGratings• TransmissionGratings• RuledandHolographicGratings• Beamsplitters• UV-VIS-NIR

ForApplicationsIn:ChemistryPhysicsLifeScienceEngineeringCommunications

Diffraction Gratings

Optometrics CorporationWavelengthSelectionSolutions

Page 2: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Page 2 email: [email protected] www.optometrics.com Optometrics Corporation

Products

• Gratings Originals and Replicated, Ruled and Holographic;

Grazing Incidence, Echelles, Telecom and Transmission Gratings

• Beamsplitters Reflecting/Transmitting

Beamsplitters, Transmission Grating Beamsplitters, Beam Dividers/Combiners

• Optical Components Mirrors, Lenses, Windows, Flats, Beamsplitters,

Prisms

• Filters SoftCoated,NearUltraviolet,

Visible,NearInfrared,and Laser Line Filters

• Infrared & Laser Products Laser Gratings,

Holographic and Ruled Wire Grid Polarizers

• Monochromators Mini-Chrom

Monochromators

• Systems & Accessories Monochromatic Light Modules, Sample

Compartments,Detectors,LightSources,ModularRecording Spectrophotometers

• SPF-290S Spectrophotometer for determining Sunscreen

Protection Factors

Plus specialized packaging, bar coding and Kanbanstocking arrangements for all OEM customers.

OptometricsCorporationhas, formore than fortyyears,designedandmanufacturedabroadselec-

tionofdiffractiongratingsforavarietyofapplicationsinthe industrial, educational and research markets. In-house rulingcapabilities,alongwithbothproductionanddevel-opmentholographiclaboratoriesallowourcustomerstochoose the right grating for their application.

Standard gratings for spectroscopic instruments include bothruledandholographicreplicas.Standardgratingsforlaser applications include high damage threshold original and replicated gratings for molecular lasers, holographic grazingincidencegratingsfordyelasersandechelles.

The newest additions to Optometrics’ line of diffraction gratings includeTransmissiongratingsandReflecting/Transmitting“Polka-dot”beamsplitters.

FacilitiesOptometrics’facilityinAyer,Massachusettscontainsspaceforoffices,engineering,R&Dandproduction.Equipmentthatsupportourbroadrangeofcapabilitiesincludes:

• Fourmetalvacuumcoatingsystems;• Threethin-filmsoftcoatedfiltervacuum coatingsystems;• TwoIon-AssistedDepositionhardcoatvacuum coatingsystems;• Threegratingrulingengines;• Productionholographiclaboratory;• R&Dholographiclaboratory;• Fullreplicationandlaminationfacilities;• Fullassembly,alignmentandtestfacilities;• Fullcomplementoftestequipmentforspectraltesting fromtheUVtotheFarInfrared,formechanicaland flatnesstesting,forhumidityandenvironmentaltesting;• Extensivemarking,packagingandbarcoding equipmentandcapabilities

Optometrics Corporation

Page 3: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 3email: [email protected] www.optometrics.comOptometrics Corporation

GoalsOptometrics goal is to provide advanced optical componentsandsystemsforuseinwavelengthselectionapplicationsfoundin:• AnalyticalChemistry• LifeSciences• TelecomApplications• Physics• Education• SpaceSciences andotherapplicationswherehighqualityopticsarekey.

Inordertoaccomplishthis,theCompanyhasassembledstate-of-the-artfacilitiesandpeopletoproduce:• diffractiongratings,ruled&holographic,original&

replicated,reflectionandtransmission• interferenceandneutraldensityfilters• opticalcomponents• lasergratings&products• monochromators&accessories• spectrophotometers• wiregridpolarizers,ruled&holographic,and

OEM ServicesOptometrics caters, in particular, to the needs of its OEMcustomersbyofferingspecialservicessuchas:• Kanbanstockingarrangements• Custompackagingprograms• Barcodingcapabilities• Codenamesforcompleteconfidentiality• Higherlevelpre-alignedopticalassemblies

The company is also proud of its ability to supportcustomers in all phases of the product development cycle.

TABLE OF CONTENTSBackground Technology Information

Background&TechnologyInformation ..................4

Products

Standard Ruled and Holographic Replica Gratings ..............................................10

High Resolution Gratings and Echelles ...............14

TFandUTFSeriesGratingsand EchellesForDyeLaser .................................. 16

Grazing Incidence Gratings .................................18

ML Series Replicated Gratings ............................19

Transmission Gratings VisibleandNIR ...............................................23 UV ...................................................................25

Reflecting/Transmitting “Polka Dot” Beamsplitters ...............................26

Transmission Grating Beamsplitters ....................28

Ordering Information

Terms&Conditions .............................................29

Order form ..........................................................30

Optometrics Corporation 8NemcoWayAyer,MA01432USATel:(978)772-1700Fax:(978)772-0017E-Mail:[email protected]:www.optometrics.com

Page 4: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 4 email: [email protected] www.optometrics.com Optometrics Corporation

BackgroundandTechnology

DIFFRACTION GRATINGS

Agratingconsistsofaseriesofequallyspacedparal-lelgroovesformedinareflectivecoatingdepositedona suitable substrate. Thedistance betweenadjacentgrooves and the angle the grooves form with respect to thesubstrateinfluenceboththedispersionandefficiencyof a grating. If the wavelength of the incident radiation is much larger than the groove spacing, diffraction will not occur. If the wavelength is much smaller than the groove spacing, the facets of the groove will act as mirrors and, again, no diffraction will take place.

Theway inwhich the grooves are formed separatesgratings into two basic types, holographic and ruled.Physicallyforminggroovesintoareflectivesurfacewitha diamond mounted on a “ruling engine” produces ruled gratings. Gratings produced from laser constructed in-terference patterns and a photolithographic process are known as interference or holographic gratings.

Optometrics is one of the few companies that produces both typesofgratings in-houseandhas full replicationfacilitiesandexpertise.Ruledandholographicgratingsdiffer in their optical characteristicsandeach typehasadvantagesforspecificapplications.

GRATING EQUATION

Thegeneralgratingequationisusuallywrittenas:nλ=d(sini+sini’)

where n is the order of diffraction, λ is the diffracted wave-length,disthegratingconstant(thedistancebetweensuccessivegrooves),iistheangleofincidencemeasuredfrom the normal and i’ is the angle of diffraction measured from the normal.

Foraspecificdiffractedorder(n)andangleofincidence(i),differentwavelengths(λ)willhavedifferentdiffractionangles(i’),separatingpolychromaticradiationincidentonthe grating into its constituent wavelengths.

THE RULING PROCESS

The initial steps in ruling an original or master grating includestheselectionofanappropriatesubstrate,usuallyglassorcopper,polishingthesubstratetoahighdegreeofflatness,andcoatingitwithathinlayerofaluminumbyvacuumdeposition.Therulingofparallel,equallyspacedgroovesisaslowprocessthatcanrequireseveraldaysof set-up and testing prior to the actual ruling. The rul-ingenginemustbeabletoretracetheexactpathofthediamondformingtooloneachstrokeandtoindex(ad-vance)thesubstrateapredeterminedamountaftereachcut.Bothgrooveparallelismanddisplacementmustbecontrolledwithgreatprecision.Aseriesof“test”rulingsaremadeandthegratingischeckedforefficiency,grooveprofileandstraylight.Aftereachtest,aminormechanicaladjustmentmayhavetobemade.Itcantakeaweekormoreofrepeatedtestingtooptimizethegrooveprofileforspecificopticalcharacteristics.Afterexhaustivetesting,anoriginalgratingisruledonalargesubstrate.Anoriginalgrating isobviouslyveryexpensiveand,consequently,gratingssawonlylimiteduseuntilafterthedevelopmentof the replication process.

THE HOLOGRAPHIC PROCESS

Likearuledgrating,thefirststepintheproductionofaholographic grating is the selection of an appropriate pol-ishedsubstrate.Thesubstrateforaholographicgratingis,however,coatedwithaphotosensitive (photoresist)materialratherthanthereflectivecoatingusedinruledgratings.Thephotoresistisexposedbypositioningthecoatedblankbetweentheintersectingbeamsofmono-chromaticandcoherent lightproducedbya laser.Theintersecting laserbeamsgenerateaseriesofparallel,

Optometrics Corporation Page 4 (978) 772-1700 to Order

Diffraction Gratings Background and Technology

DIFFRACTION GRATINGSA grating consists of a series of equally spaced paral-lel grooves formed in a reflective coating deposited on a suitable substrate. The distance between adjacent grooves and the angle the grooves form with respect to the substrate influence both the dispersion and efficiency of a grating. If the wavelength of the incident radiation is much larger than the groove spacing, diffraction will not occur. If the wavelength is much smaller than the groove spacing, the facets of the groove will act as mirrors and, again, no diffraction will take place.

The way in which the grooves are formed separates gratings into two basic types, holographic and ruled. Physically forming grooves into a reflective surface with a diamond mounted on a “ruling engine” produces ruled gratings. Gratings produced from laser constructed in-terference patterns and a photolithographic process are known as interference or holographic gratings.

Optometrics is one of the few companies that produces both types of gratings in-house and has full replication facilities and expertise. Ruled and holographic gratings differ in their optical characteristics and each type has advantages for specific applications.

GRATING EQUATIONThe general grating equation is usually written as:nλ = d(sin i + sin i’)

where n is the order of diffraction, λ is the diffracted wave-length, d is the grating constant (the distance between successive grooves), i is the angle of incidence measured from the normal and i’ is the angle of diffraction measured from the normal.

For a specific diffracted order (n) and angle of incidence (i), different wavelengths (λ) will have different diffraction angles (i’), separating polychromatic radiation incident on the grating into its constituent wavelengths.

THE RULING PROCESSThe initial steps in ruling an original or master grating includes the selection of an appropriate substrate, usually glass or copper, polishing the substrate to a high degree of flatness, and coating it with a thin layer of aluminum by vacuum deposition. The ruling of parallel, equally spaced grooves is a slow process that can require several days of set-up and testing prior to the actual ruling. The rul-ing engine must be able to retrace the exact path of the diamond forming tool on each stroke and to index (ad-vance) the substrate a predetermined amount after each cut. Both groove parallelism and displacement must be controlled with great precision. A series of “test” rulings are made and the grating is checked for efficiency, groove profile and stray light. After each test, a minor mechanical adjustment may have to be made. It can take a week or more of repeated testing to optimize the groove profile for specific optical characteristics. After exhaustive testing, an original grating is ruled on a large substrate. An original grating is obviously very expensive and, consequently, gratings saw only limited use until after the development of the replication process.

THE HOLOGRAPHIC PROCESSLike a ruled grating, the first step in the production of a holographic grating is the selection of an appropriate pol-ished substrate. The substrate for a holographic grating is, however, coated with a photosensitive (photoresist) material rather than the reflective coating used in ruled gratings. The photoresist is exposed by positioning the coated blank between the intersecting beams of mono-chromatic and coherent light produced by a laser. The intersecting laser beams generate a series of parallel,

GratingNormal Diffraction

Radiation

“0” OrderRadiation

Normal toGroove Face

IncidentRadiation

GRATING ANGLES AND TERMS

i'

ii

q

dBlaze Arrow

Page 5: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 5email: [email protected] www.optometrics.comOptometrics Corporation

equally spaced interference fringeswhose intensitiesvaryinasinusoidalpattern.Thisfringepatternexposestheresistdifferentially.Sincethesolubilityof theresistisdependentonitsexposuretolight,thedevelopmentprocesstransfersthevaryingintensitiesoftheinterfer-encefringestothesurfaceoftheresist.Thesubstrateisthencoatedwithareflectivematerialandcanbeusedasis,orreplicatedbythesameprocessusedforruledoriginals.

Sinceholographicgratingsareproducedoptically,grooveformandspacingareperfectlyconsistent.Holographicgratings are, therefore, free from the periodic and random spacingerrors responsibile for “ghosts”andstray lightin ruled gratings. The result is that holographic gratings generatemuchlessstraylightthanruledgratings.

EFFICIENCY

Grating efficiency is primarily a function of grooveshape, angle of incidence, and the reflectance of thecoating.

The absolute efficiency of a grating is the percent-age of incident monochromatic radiation that is dif-fracted into the desired order. In contrast, relative efficiency compares the energy diffracted into thedesired order with that of a plane mirror coated with the same material as the grating. When comparing grating performance curves, it is important to keep this in mind. A relative efficiency curve will alwaysshow higher values than an absolute efficiency curvefor the same grating. The efficiency curves in thisbrochure present absolute efficiency data.

Angle of incidence plays a role in grating perfor-mance. Because of the infinite number of configura-tions that a grating can be used in, a standard ge-ometry is used in the measurement of the gratings.This is the Littrow (or autocollimation) mounting. Inthis mounting configuration, the diffracted order andwavelength of interest is directed back along thepath of the incident light (i=i’). The blaze angle ofa ruled grating is calculated based on this mounting.This mounting is practical and necessary for laser

tuning applications, but most applications will requiresome deviation between the incident and diffractedbeams. Small deviations from the Littrow mountingseldom have an appreciable effect on grating perfor-mance other than to limit the maximum wavelengthachievable. Unless otherwise stated, all performancecurves in this brochure present blazed first orderLittrow data.

BLAZE ANGLE AND WAVELENGTH

The grooves of a ruled grating have a sawtooth profile with one side longer than the other. The angle made by a groove’s longer side and the planeof the grating is the “blaze angle.” Changing theblaze angle concentrates diffracted radiation to aspecific region of the spectrum, increasing the effi-ciency of the grating in that region. The wavelengthat which maximum efficiency occurs is the “blazewavelength.”

Holographic gratings are generally less efficient thanruled gratings because they cannot be “blazed” inthe classical sense. Their sinusoidal shape can, in some instances, be altered to approach the efficiencyof a ruled grating. There are also special cases that should be noted, i.e. when the spacing to wavelengthratio is near one, a sinusoidal grating has virtuallythe same efficiency as a ruled grating. A holographicgrating with 1800 g/mm can have the same efficiencyat 500 nm as a blazed, ruled grating. In addition,a special process enables Optometrics’ holographicgratings to achieve a true sawtooth profile peakedat 250 nm, an ideal configuration for UV applicationsrequiring good efficiency with low stray light.

BackgroundandTechnology

Page 6: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 6 email: [email protected] www.optometrics.com Optometrics Corporation

RESOLVING POWER

The resolving power of a grating is the product of the diffracted order in which it is used and the number ofgrooves intercepted by the incident radiation. It canalso be expressed in terms of grating width, groovespacing and diffracted angles. The “theoretical resolv-ing power” of a diffraction grating with N grooves is:

The actual resolving power of a grating depends on the accuracy of the ruling, with 80-90% of theoreticalbeing typical of a high quality ruling.

Resolving power is a property of the grating and isnot, like resolution, dependent on the optical and mechanical characteristics of the system in which itis used.

SYSTEM RESOLUTION

The resolution of an optical system, usually deter-mined by examination of closely spaced absorptionor emission lines for adherence to the Raleigh criteria (R = λ/∆λ), depends not only on the grating resolvingpower but on focal length, slit size, f number, the op-tical quality of all components and system alignment.The resolution of an optical system is usually muchless than the resolving power of the grating.

DISPERSION

Angular dispersion of a grating is a product of theangle of incidence and groove spacing. Angulardispersion can be increased by increasing the angleof incidence or by decreasing the distance betweensuccessive grooves. A grating with a large angulardispersion can produce good resolution in a compact optical system.

Angular dispersion is the slope of the curve givenby λ = f(i). In autocollimation, the equation for dis-persion is given by:

This formula may be used to determine the angularseparation of two spectral lines or the bandwidth thatwill be passed by a slit subtending a given angle atthe grating.

DIFFRACTED ORDERS

For a given set of angles (i,i´) and groove spacing,the grating equation is valid at more than one wave-length, giving rise to several “orders” of diffracted radiation. The reinforcement (constructive interfer-ence) of diffracted radiation from adjacent groovesoccurs when a ray is in phase but retarded by awhole integer. The number of orders produced islimited by the groove spacing and the angle of inci-dence, which obviously cannot exceed 90 degrees.At higher orders, efficiency and free spectral rangedecrease while angular dispersion increases. Order overlap can be compensated for by the judicious useof sources, detectors and filters and is not a majorproblem in gratings used in low orders.

dλ = λ di 2 tan i

BackgroundandTechnology

λ

∆λ=Nn

Optometrics Corporation Page 6 (978) 772-1700 to Order

Diffraction Gratings

RESOLVING POWERThe resolving power of a grating is the product of the diffracted order in which it is used and the number of grooves intercepted by the incident radiation. It can also be expressed in terms of grating width, groove spacing and diffracted angles. The “theoretical resolv-ing power” of a diffraction grating with N grooves is:

The actual resolving power of a grating depends on the accuracy of the ruling, with 80-90% of theoretical being typical of a high quality ruling.

Resolving power is a property of the grating and is not, like resolution, dependent on the optical and mechanical characteristics of the system in which it is used.

SYSTEM RESOLUTIONThe resolution of an optical system, usually deter-mined by examination of closely spaced absorption or emission lines for adherence to the Raleigh criteria (R = λ/Δλ), depends not only on the grating resolving power but on focal length, slit size, f number, the op-tical quality of all components and system alignment. The resolution of an optical system is usually much less than the resolving power of the grating.

DISPERSIONAngular dispersion of a grating is a product of the angle of incidence and groove spacing. Angular dispersion can be increased by increasing the angle of incidence or by decreasing the distance between successive grooves. A grating with a large angular dispersion can produce good resolution in a compact optical system.

Angular dispersion is the slope of the curve given by λ = f(i). In autocollimation, the equation for dis-persion is given by:

This formula may be used to determine the angular separation of two spectral lines or the bandwidth that will be passed by a slit subtending a given angle at the grating.

DIFFRACTED ORDERSFor a given set of angles (i,i´) and groove spacing, the grating equation is valid at more than one wave-length, giving rise to several “orders” of diffracted radiation. The reinforcement (constructive interfer-ence) of diffracted radiation from adjacent grooves occurs when a ray is in phase but retarded by a whole integer. The number of orders produced is limited by the groove spacing and the angle of inci-dence, which obviously cannot exceed 90 degrees. At higher orders, efficiency and free spectral range decrease while angular dispersion increases. Order overlap can be compensated for by the judicious use of sources, detectors and filters and is not a major problem in gratings used in low orders.

dλ = λ di 2 tan i

Normal toSurface

2nd Order 1st OrderIncidentBeam

3rd Order0th Order

-1st Order

Background and Technology

λ

Δλ= Nn

Page 7: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 7email: [email protected] www.optometrics.comOptometrics Corporation

FREE SPECTRAL RANGE

Free spectral range is the maximum spectral band-width that can be obtained in a specified orderwithout spectral interference (overlap) from adjacentorders. As grating spacing decreases, the free spec-tral range increases. It decreases with higher orders. If λ

1, λ

2 are lower and upper limits, respectively, of

the band of interest, then:

Free spectral range = λ2 — λ

1 = λ

1/n

GHOSTS AND STRAY LIGHT

Ghosts are defined as spurious spectral lines arisingfrom periodic errors in groove spacing. Interferometri-cally controlled ruling engines minimize ghosts, whilethe holographic process eliminates them.

On ruled gratings, stray light originates from randomerrors and irregularities of the reflecting surfaces. Holographic gratings generate less stray light becausethe optical process which transfers the interference pattern to the photoresist is not subject to mechanicalirregularities or inconsistencies.

SIZES

Gratings are available in several standard square andrectangular sizes ranging from 12.5 mm square upto 50mm square. Non-standard sizes are availableupon request. Unless otherwise specified, rectangu-lar gratings are cut with grooves parallel to the short dimension.

SUBSTRATES

Replicated gratings of all types can be produced onfloat glass, Pyrex® or Zerodur®. Optometrics car-ries all three types of substrates in stock, in 3mm,4mm, 5mm, 6mm, 9.5mm, and 12mm thicknesses. Other materials and thicknesses are available uponrequest.

COATINGS

Gratings used in the ultraviolet, visible and infraredare normally replicated with an aluminum coating.Aluminum is used rather than silver because it ismore resistant to oxidation and has superior reflec-tance in the ultraviolet. Aluminum averages over90% reflectance from 200 nm to the far infrared,except in the 750 to 900 nm region where it dropsto approximately 85%. When maximum reflectanceis required in the near infrared, as is the case withsome fiber optic applications, the aluminum coatingmay be overcoated with gold. Though gold is soft, it

BackgroundandTechnology

Optometrics Corporation Page 7email: [email protected] www.optometrics.com

Diffraction Gratings

FREE SPECTRAL RANGEFree spectral range is the maximum spectral band-width that can be obtained in a specified order without spectral interference (overlap) from adjacent orders. As grating spacing decreases, the free spec-tral range increases. It decreases with higher orders. If λ1, λ2 are lower and upper limits, respectively, of the band of interest, then:

Free spectral range = λ2 — λ1 = λ1/n

GHOSTS AND STRAY LIGHTGhosts are defined as spurious spectral lines arising from periodic errors in groove spacing. Interferometri-cally controlled ruling engines minimize ghosts, while the holographic process eliminates them.

On ruled gratings, stray light originates from random errors and irregularities of the reflecting surfaces. Holographic gratings generate less stray light because the optical process which transfers the interference pattern to the photoresist is not subject to mechanical irregularities or inconsistencies.

SIZESGratings are available in several standard square and rectangular sizes ranging from 12.5 mm square up to 50mm square. Non-standard sizes are available upon request. Unless otherwise specified, rectangu-lar gratings are cut with grooves parallel to the short dimension.

SUBSTRATESReplicated gratings of all types can be produced on float glass, Pyrex® or Zerodur®. Optometrics car-ries all three types of substrates in stock, in 3mm, 4mm, 5mm, 6mm, 9.5mm, and 12mm thicknesses. Other materials and thichnesses are available upon request.

COATINGSGratings used in the ultraviolet, visible and infrared are normally replicated with an aluminum coating. Aluminum is used rather than silver because it is more resistant to oxidation and has superior reflec-tance in the ultraviolet. Aluminum averages over 90% reflectance from 200 nm to the far infrared, except in the 750 to 900 nm region where it drops to approximately 85%. When maximum reflectance is required in the near infrared, as is the case with some fiber optic applications, the aluminum coating may be overcoated with gold. Though gold is soft, it

500 600 700 800 900 1000 1100

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0.0

Au

A1

Ref

lect

ance

Wavelength (nm)

REFLECTANCE VS. WAVELENGTH OFALUMINUM AND GOLD COATED OPTICS

Background and Technology

n=1

n=2

n=3

HIGHER ORDERS AND FREE SPECTRAL RANGEHIGHER ORDERS AND FREE SPECTRAL RANGE

Optometrics Corporation Page 7email: [email protected] www.optometrics.com

Diffraction Gratings

FREE SPECTRAL RANGEFree spectral range is the maximum spectral band-width that can be obtained in a specified order without spectral interference (overlap) from adjacent orders. As grating spacing decreases, the free spec-tral range increases. It decreases with higher orders. If λ1, λ2 are lower and upper limits, respectively, of the band of interest, then:

Free spectral range = λ2 — λ1 = λ1/n

GHOSTS AND STRAY LIGHTGhosts are defined as spurious spectral lines arising from periodic errors in groove spacing. Interferometri-cally controlled ruling engines minimize ghosts, while the holographic process eliminates them.

On ruled gratings, stray light originates from random errors and irregularities of the reflecting surfaces. Holographic gratings generate less stray light because the optical process which transfers the interference pattern to the photoresist is not subject to mechanical irregularities or inconsistencies.

SIZESGratings are available in several standard square and rectangular sizes ranging from 12.5 mm square up to 50mm square. Non-standard sizes are available upon request. Unless otherwise specified, rectangu-lar gratings are cut with grooves parallel to the short dimension.

SUBSTRATESReplicated gratings of all types can be produced on float glass, Pyrex® or Zerodur®. Optometrics car-ries all three types of substrates in stock, in 3mm, 4mm, 5mm, 6mm, 9.5mm, and 12mm thicknesses. Other materials and thichnesses are available upon request.

COATINGSGratings used in the ultraviolet, visible and infrared are normally replicated with an aluminum coating. Aluminum is used rather than silver because it is more resistant to oxidation and has superior reflec-tance in the ultraviolet. Aluminum averages over 90% reflectance from 200 nm to the far infrared, except in the 750 to 900 nm region where it drops to approximately 85%. When maximum reflectance is required in the near infrared, as is the case with some fiber optic applications, the aluminum coating may be overcoated with gold. Though gold is soft, it

500 600 700 800 900 1000 1100

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0.0

Au

A1

Ref

lect

ance

Wavelength (nm)

REFLECTANCE VS. WAVELENGTH OFALUMINUM AND GOLD COATED OPTICS

Background and Technology

n=1

n=2

n=3

HIGHER ORDERS AND FREE SPECTRAL RANGEHIGHER ORDERS AND FREE SPECTRAL RANGE

AL

REFLECTANCEVS.WAVELENGTHOFALUMINUM(Al)ANDGOLD(Au)COATEDOPTICS

AI

Page 8: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 8 email: [email protected] www.optometrics.com Optometrics Corporation

BackgroundandTechnology

CHOOSING A GRATING

Selection of a standard Optometrics grating requiresconsideration of a number of variables related to thegrating’s intended use. These are as follows:

• EFFICIENCY: In general, ruled gratings have a higher efficiency than holographic gratings. Appli-cations such as fluorescence excitation and otherradiation induced reactions may require a ruledgrating (see efficiency curves for comparison). Asa rule of thumb, the first order efficiency of a ruledgrating decreases by 50% at two thirds and threehalves of the blaze wavelength.

• BLAZE WAVELENGTH: Ruled gratings, due to their “sawtooth” groove profile, have a relativelysharp peak around their blaze wavelength whilesome holographic gratings have a flatter spectralresponse. Applications centered around a narrowwavelength range could benefit from a ruled grat-ing blazed at that wavelength.

• WAVELENGTH RANGE: The spectral range cov-ered by a grating is dependent on groove spacingand is the same for ruled and holographic gratings with the same grating constant. The maximum

THE REPLICATION PROCESS

In the late 1940’s, White and Frazer developed the process for precision replication, allowing numerous “replica” gratings to be produced from a single master, either ruled or holographic. It is a procedurethat results in the transfer of the three dimensional topography of a master grating to another substrate,allowing reproduction of a master in full relief to extremely close tolerances. This process led to the com-mercialization of gratings and has resulted in the current widespread use of gratings in spectrometers.

is resistant to oxidation and has a reflectance of over96% in the near infrared and over 98% above 2.0 µ.The reflectance of gold drops substantially below 600nm and is not recommended for use in the visible orultraviolet regions.

Dielectric overcoatings such as aluminum magnesium fluoride (AlMgF

2) protect aluminum from oxidation,

maintaining the original high reflectance of aluminumin the visible and ultraviolet. Gold overcoatings andaluminummagnesium fluoride dielectric coatings mustbe specified separately when ordering.

While gold overcoating can increase reflectivity, anyovercoating may reduce the damage threshold by afactor of two or more.

DAMAGE THRESHOLDS

Any standard Optometrics grating is available witheither P-type or CW-type replication coatings forhigher damage threshold performance. (For more in-formation see page 9).

Optometrics Corporation Page 8 (978) 772-1700 to Order

Diffraction Gratings Background and Technology

CHOOSING A GRATINGSelection of a standard Optometrics grating requires consideration of a number of variables related to the grating’s intended use. These are as follows:

• EFFICIENCY: In general, ruled gratings have a higher efficiency than holographic gratings. Appli-cations such as fluorescence excitation and other radiation induced reactions may require a ruled grating (see efficiency curves for comparison). As a rule of thumb, the first order efficiency of a ruled grating decreases by 50% at two thirds and three halves of the blaze wavelength.

• BLAZE WAVELENGTH: Ruled gratings, due to their “sawtooth” groove profile, have a relatively sharp peak around their blaze wavelength while some holographic gratings have a flatter spectral response. Applications centered around a narrow wavelength range could benefit from a ruled grat-ing blazed at that wavelength.

• WAVELENGTH RANGE: The spectral range cov-ered by a grating is dependent on groove spacing and is the same for ruled and holographic gratings with the same grating constant. The maximum

Aluminum Coating

Epoxy Layer

Polished Substrate

Ruled Grating Replica Holographic Grating Replica

THE REPLICATION PROCESS

In the late 1940’s, White and Frazer developed the process for precision replication, allowing numerous “replica” gratings to be produced from a single master, either ruled or holographic. It is a procedure that results in the transfer of the three dimensional topography of a master grating to another substrate, allowing reproduction of a master in full relief to extremely close tolerances. This process led to the com-mercialization of gratings and has resulted in the current widespread use of gratings in spectrometers.

is resistant to oxidation and has a reflectance of over 96% in the near infrared and over 98% above 2.0 µ. The reflectance of gold drops substantially below 600 nm and is not recommended for use in the visible or ultraviolet regions.

Dielectric overcoatings such as aluminum magnesium fluoride (AlMgF2) protect aluminum from oxidation, maintaining the original high reflectance of aluminum in the visible and ultraviolet. Gold overcoatings and aluminum magnesium fluoride dielectric coatings must be specified separately when ordering.

While gold overcoating can increase reflectivity, any overcoating may reduce the damage threshold by a factor of two or more.

DAMAGE THRESHOLDSAny standard Optometrics grating is available with either P-type or CW-type replication coatings for higher damage threshold performance. (For more in-formation see page 9).

Page 9: Diffra ag Diffraction Gratings52ebad10ee97eea25d5e-d7d40819259e7d3022d9ad53e3694148.r84…DIFFRACTION GRATINGS A grating consists of a series of equally spaced paral-lel grooves formed

Diffraction Gratings

Page 9email: [email protected] www.optometrics.comOptometrics Corporation

wavelength that a grating can diffract is equal totwo times the grating period, and this would beachieved when the incident and diffracted light were at ninety degrees to the grating normal.

• STRAY LIGHT: For applications such as Raman spectroscopy, where signal-to-noise is critical, theinherent low stray light of a holographic grating isan advantage.

• RESOLVING POWER: There is no difference in resolving power for holographic and ruled gratings with identical groove spacing. Holographic gratings are, however, available with up to 3600 groovesper mm while Optometrics does not normally rulegratings with more than 1200 grooves per mm.

TYPICAL SPECIFICATIONS

Dimensional tolerances ................................± 0.5 mmThickness tolerances ....................................± 0.5 mmEfficiencies: Ruled .......................................60 - 80% at blaze λ Holographic ............................. 45 - 65% at peak λ Clear aperture ...................................................90% Groove parallelism to edge .............................±0.5°

OPERATING TEMPERATURE RANGE

Standard Reflection Gratings ............ -50˚C to +125˚CStandard Transmission Grating ........ -50˚C to +125˚CUTF-CW Gratings .............................. -50˚C to +200˚CML Gratings ....................................... -50˚C to +200˚C

BackgroundandTechnology

RECTANGLES / GROOVE DIRECTION

Unless otherwise specified, rectangular gratings arecut with grooves parallel to the short dimension.

DAMAGE THRESHOLD

AnystandardOptometricsgratingisavailablewitheitherP-typeorCW-typeconstructionorhigherdamagethresh-old performance.

Damage Thresholds:(nodamagethresholdminimumsapplytogratingswithanovercoat)

Standard Replica Gratings: Pulsed ..................350milli-joules/[email protected] ........................................................40watts/cm2

P-Type Replica Gratings: (pulsed type)

Pulsed ......................... 3.5joules/[email protected] ........................................................80watts/cm2

CW-Type Replica Gratings: (for continuous high power applications)

Pulsed .......................... 3.5joules/[email protected] ......................................................250watts/cm2

CoatingsRegardlessofsize,theadditionalcostperpieceis: GoldOvercoat(AU-3) .........................................$60.00AluminumMagnesiumFlouride(ALMG-3) .........$55.00

Note: While a gold overcoat can increase reflectivity, any overcoating may reduce the damage threshold by a factor of two or more.HANDLING GRATINGS

The surface of standard gratings are coated with aluminum or gold and require extremecare when handling. Handling should be doneby the edges only. These relatively soft coat-ings are vulnerable to fingerprints and numer-ous aerosols. Scratches or other cosmetic defects do not, unless extreme, usually affectoptical performance. No attempt to clean agrating should bemade without first consultingOptometrics.


Recommended