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2443-7 Winter College on Optics: Trends in Laser Development and Multidisciplinary Applications to Science and Industry U. Morgner 4 - 15 February 2013 University of Hannover Germany Pulse characterization
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Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

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Page 1: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

2443-7

Winter College on Optics: Trends in Laser Development and Multidisciplinary Applications to Science and Industry

U. Morgner

4 - 15 February 2013

University of Hannover Germany

Pulse characterization

Page 2: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

!&

'()*+,*-&.*/&$#!%&

012+*&345(56,*()75,)89&

:;*&<8(=9*(&

!&>9+,),1,*&8?&@159,1A&BC,)6+-&D*)/9)7&:9)E*(+),F,&G5998E*(-&H*(A59I&

%&D5+*(&J*9,(1A&G5998E*(&KDJGL&M&3*9,(*&?8(&@159,1A&N9=)9**()9=&59O&PC56*Q')A*&R*+*5(64&K@:NP'L&-&G5998E*(-&H*(A59I&

&&$&SNT'NBT&.*A,8+*689O&D5+*(&'*649828=I&HA/G&

'*649)652&,)A*&(*+821,)89&

Herrmann/Wilhelmi: Lasers for Ultrashort Light Pulses, 1987

A*6459)6+& *2*6,(89)6+&

8C,)6+-&&25+*(&C12+*+&,)A

*&(*+821,)89&

I*5(&

G)+,8(I&8?&+48(,&C12+*&25+*(+&

1960 1970

1980 1990

2000

mode-locked ruby Nd:Glass

flashlamp dye lasers cw mode-locked dye

pulse compression colliding pulse

Ti:sapphire mode-locked dye

< 1 ns < 10 ps

< 100 fs < 1 ps

< 10 fs pulse duration

technology

< 5 fs

source: P. Dietrich

< 1 fs

XUV-HHG

'()*+,*-&.*/&$#!%&

OPCPA

012+*O&25+*(&

DUPNR&

,&

'()*+,*-&.*/&$#!%&

>9,(565E),I&5AC2),1O*&A8O125,)89&Q&56,)E*&A8O*Q286V)9=&

!"##$%#&'()$**"+$',&

-.*(%&/&%,0%*'1%&

-.*(%&2.#"+$',&

'()*+,*-&.*/&$#!%&

>9&8(O*(&,8&A*5+1(*&&59&*E*9,&)9&,)A*-&I81&9**O&5&+48(,*(&89*"&

G8;&O8&I81&A*5+1(*&,4*&+48(,*+,&*E*9,+W&

-3'+'4#"13&+"5%,&67&8"#'*2&924%#+',:&;<=&

'4*&X)2*AA5&

'()*+,*-&.*/&$#!%&

Page 3: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

$&

:2,(5+48(,&*2*6,(89&C12+*+&?8(&O*,*6,)89W&

Q&,&

'()*+,*-&.*/&$#!%&

BC,)652&,882+&(*Y1)(*OZ&

P8A*&O*?)9),)89+&&

'()*+,*-&.*/&$#!%&

!"##$%#&'()$**"+$',&&

9,0%*'1%&>&

>9,*9+),I&*9E*28C*[&

34)(C&!"#$

! %

#&'(

"#$

"#$

#&'(

#&'(

>9,*9+),I&*9E*28C*&

'*AC8(52&C45+*&K*\5AC2*L&

D8652&?(*Y1*96I&+4)?,[&

'()*+,*-&.*/&$#!%&

D)9*5(&64)(C&]&C5(5/82)6&C45+*&

'()*+,*-&.*/&$#!%&

#&'(

"#$

"#$

#&'(

.81()*(&,(59+?8(A&

'()*+,*-&.*/&$#!%&

^UK,L^$& &)9,*9+),I&*9E*28C*&.'&

^PK L^$& &C8;*(&+C*6,(1A&+C*6,(52&C45+*&

,*AC8(52&C45+*&

'_0&

'()*+,*-&.*/&$#!%&

TBP

[s] (FWHM)duration pulse[Hz] (FWHM)bandwidth spectral

productbandwidth timeTBP

2

c

Page 4: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

%&

!35(()*(QN9E*28C*&045+*&

vg&&&&]&=(81C&E*286),I&

vp&&&]&C45+*&E*286),I&

'()*+,*-&.*/&$#!%&

?&!9@/-3"(%&

X)+C*(+)89&56,+&89&,4*&+C*6,(52&C45+*& &

>9?21*96*+&892I&& K L[&&=(81C&O*25I&HX[&&=(81C&O*25I&O)+C*(+)89&HXX[&&'4)(O&8(O*(&O)+C*(+)89&'BX[&&&

&&

&'()*+,*-&.*/&$#!%&

X)+C*(+)E*&=25++*+& T*=5,)E*&HSX&?(8A&C()+A+&

!!

! !"

#"#$%"$

! &!!'! "

!

"%()#*"$

! &!!!'! !

"

!"#$

'()*+,*-&.*/&$#!%&

0()+A&68AC(*++8(&

'4*&289=*(&;5E*2*9=,4+&45E*&5&289=*(&C5,4"&

'()*+,*-&.*/&$#!%&

H(5,)9=&68AC(*++8(&

!!

! !"

"$

! &!! !"#$%

%&'! ( ) *

!"#$%

Grating #1

Grating #2

'()*+,*-&.*/&$#!%&

Page 5: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

M&

$9OQ&59O&%(OQ8(O*(&C45+*&,*(A+&?8(&C()+A&59O&=(5,)9=&C12+*&68AC(*++8(+&

Note that the relative signs of the 2nd and 3rd-order terms are opposite for prism compressors and grating compressors.

Grating compressors offer more compression than prism compressors.

!"#$#%&'%()*++%

)) )))

'()*+,*-&.*/&$#!%& '()*+,*-&.*/&$#!%&

HR>P<&]&=(5,)9=&C()+A&68A/)95,)89&

Bragg-Mirror: TiO / SiO 2 2 - Layers B 4

Double-Chirped Mirror: Bragg-wavelength and coupling chirped

Air

Impedance matching

d h B /4

`F(,9*(&*,&52-&BD&%%-&&a%!&K!bbcL&

SiO - Substrate

2 AR- Coating

Air SiO - Substrate

2

X)+C*(+)89&68AC*9+5,)89&;),4&O81/2*Q64)(C*O&A)((8(+&

Chirped Mirror: Bragg-Wavelength chirped

SiO - Substrate

2 1

2 1 2 >

Negative Dispersion:

B

P7)Cd6+&e&`(51+7-&BD&!b-&$#!&K!bbML&&'()*+,*-&.*/&$#!%&

3._H&]&64)(C*O&?)/*(&_(5==&=(5,)9=&

4,,C[ff*9";)V)C*O)5"8(=f;)V)f.)/*(g_(5==g=(5,)9=&

'()*+,*-&.*/&$#!%&

'()*+,*-&.*/&$#!%&

3S_H&]&64)(C*O&E821A*&_(5==&=(5,)9=&

X)++&<5,,4*;&U"&R*E*(-&<)64)=59&$#!#-&;;;"COQ2O"68A&

012+*&645(56,*()75,)89&

<*5+1(*&*),4*(&^UK,L^$&59O& K,L&)9&,)A*&O8A5)9&&8(&A*5+1(*&^PK L^$&59O& K L&)9&?(*Y1*96I&O8A5)9&&&&&&&&&&&&&&&&&&&&&&&&&&&K59O&A*5+1(*&,4*&3NBQC45+*& #L&

&&&

&'4*9&I81&V98;&*E*(,4I)9=&5/81,&,4*&C12+*Z&

'()*+,*-&.*/&$#!%&

Page 6: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

h&

&

&&&

&

012+*+&)9&,)A*&59O&)9&.81()*(&O8A5)9&

600 700 800 900 1000 1100 1200-1.0

-0.5

0.0

0.5

1.0

+C*6,(52&C45+*&i

(5Oj&

^UK,L^$&59O& K,L&)9&,)A*&O8A5)9&

^PK L^$&59O& K L&)9&+C*6,(52&O8A5)9&

'()*+,*-&.*/&$#!%&

PC*6,(8A*,*(&

'()*+,*-&.*/&$#!%&

A*5+1(*&^PK L^$&&

012+*&645(56,*()75,)89&A*,48O+&

'()*+,*-&.*/&$#!%&

<*5+1(*&^UK,L^$&59O& K,L&)9&,)A*&O8A5)9&U1,868((*25,)89-&0>3UPPB&.RBH&U,,8+*689O&+,(*5V)9=&

&8(&A*5+1(*&^PK L^$&59O& K L&)9&+C*6,(52&O8A5)9&P0>XNR-&$XP>&<>>0P&

&

'()*+,*-&.*/&$#!%&

&U1,868((*25,)89&R*?*(*96*+[&&k"&U"&U(A+,(89=-&<*5+1(*A*9,&8?&C)68+*689O&25+*(&C12+*&;)O,4+-&UCC2"&04I+"&D*,,"&!#-&!l&K!blcL&X"&k"&_(5O2*I-&H"&G"&3"&T*;-&:2,(5+48(,&012+*&<*5+1(*A*9,-&0(86"&8?&,4*&>NNN&l$-&%!%&K!bcML&3"&PC)*2A599-&D"&m1-&."&`(51+7-&<*5+1(*A*9,&8?&)9,*(?*(8A*,()6&51,868((*25,)89+[&68AA*9,-&UCC2"&BC,"&%l-&$h$% h&K!bbcL&

>9,*9+),I&51,868((*25,)89&

'()*+,*-&.*/&$#!%& n&+;5AC8C,)6+"68A&

>9,*(?*(8A*,()6&51,868((*25,)89&

'()*+,*-&.*/&$#!%& n&*9";)V)C*O)5"8(=-&+6)9*("68A&

Page 7: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

l&

_52596*O&)9,*(?*(8A*,()6&51,868((*25,)89&

'()*+,*-&.*/&$#!%&

8

6

4

2

0

IAC

3020100-10-20TIME DELAY, FS

o4I&O8&;*&9**O&,4*&9892)9*5(),IW&

'()*+,*-&.*/&$#!%&

'()*+,*-&.*/&$#!%&

&0>3UPB&C45+*&59O&)9,*9+),I&?(8A&68((*25,)89&59O&+C*6,(1A& &

R*?*(*96*+[&&

k"o"&T)6482+*9-&k"k5+5C5(5-&o"R1O82C4-&."H"BA*99*,,8&59O&U"k"'I28( .122&?)*2O&645(56,*()75,)89&8?&?*A,8+*689O& D*,,"&$M-&!ccMQ!ccl&K!bbbL"&&k"&o"&T)6482+89&59O&o"&R1O82C4&-&T8)+*&+*9+),)E),I&59O&5661(56I&8?&?*A,8+*689O&C12+*&(*,()*E52&/I&C45+*&59O&)9,*9+),I&?(8A&68((*25,)89&59O&+C*6,(1A&892I&K0>3UPBL-&kBPU&_!b&%%#Q%%b&K$##$L&

& &

0>3UPB&

'()*+,*-&.*/&$#!%&

^PK L^$&&

%c&

045+*&(*,()*E52&?(8A&>U3&59O&PC*6,(1A&

spectral phase

calculated IAC comparison pulse

optimization of spectral phase

meas. power spectrum

measured IAC

'()*+,*-&.*/&$#!%&

0>3UPB& &52=8(),4A&

Page 8: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

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0.8

0.6

0.4

0.2

0.0

SP

EC

TRA

L D

EN

SIT

Y,

a.u.

12001000800600WAVELENGTH, NM

10-510-410-310-210-1100

FWHM (FTL) = 4.3 fs

8

6

4

2

0

IAC

3020100-10-20TIME DELAY, FS

5.0 fs

PO

WE

R [a

rb.]

-40 -20 0 20 40TIME [fs]

-12

-8

-4

0P

HA

SE

[RA

D.]

140012001000800600WAVELENGTH [NM]

012+*&p$&

045+*& &&&,.oG<]&&&&&&&h"%&?+&

&&&&&

QM#&&&&&&&&&Q$#&&&&&&&&&&&#&&&&&&&&&&&&$#&&&&&&&&&&M#&

>9,*9+),I&

3419=&59O&o*)9*(-&>NNN&kP'@N-&$##!&

N\5AC2*&8?&51,868((*25,)89&5A/)=1),I&

>9,*(?*(8A*,()6&U1,868((*25,)89+&

?8(&C12+*+&&p!&59O&p$[&

p!&59O&p$&

012+*&p!&>9,*9+),I&

045+*&

,.oG<&]&&&c"M&?+&

QM#&&&&&&&&&Q$#&&&&&&&&&&&#&&&&&&&&&&&&$#&&&&&&&&&&&M#&

'()*+,*-&.*/&$#!%&

'()*+,*-&.*/&$#!%&

&.RBH&.(*Y1*96I&(*+82E*O&8C,)652&=5,)9=&

R*?*(*96*+[&&

R)6V&'(*/)98&K$##$L"&.(*Y1*96IQR*+82E*O&BC,)652&H5,)9=[&'4*&<*5+1(*A*9,&8?&:2,(5+48(,&D5+*(&012+*+"&PC()9=*("&>P_T&!QM#$#Qc#llQc& K$##$L&&R"&'(*/)98-&`"&o"&X*D89=-&X"&T"&.),,)9=48??-&k"&T"&P;**,+*(-&<"&U"&`(1A/q=*2-&59O&X"&k"&`59*-&r<*5+1()9=&:2,(5+48(,&D5+*(&012+*+&)9&,4*&')A*Q.(*Y1*96I&X8A5)9&:+)9=&.(*Y1*96IQR*+82E*O&BC,)652& R*E)*;&8?&P6)*9,)?)6&>9+,(1A*9,+&la-&%$ccQ%$bh&K!bbcL&&4,,C[ff?(8="=5,*64"*O1f& &

2

( , ) ( ) ( ) exp( )E E t g t i t dt

&K'Q L[&E5()5/2*QO*25I&=5,*&?196,)89&&

P*,&8?&+C*6,(5&8?&,*AC8(52&+2)6*+&8?&E(t)"&

'()*+,*-&.*/&$#!%&

#&'(

'4*&+C*6,(8=(5A&

&

The Spectrogram of a waveform E(t)

We must compute the spectrum of the product: E(t) g(t-)

g(t- )E(t)

time0

The spectrogram tells the color and intensity of E(t) at the time .

g(t- ) contributes only intensity, not phase (i.e., color), to the signal pulse.

E(t) contributes phase (i.e., color),

to the signal pulse.

E(t) g(t- )

'4*&PC*6,(8=(5A&8?&5&;5E*?8(A&NK,L&

E(t) g(t- )

E(t) g(t- ) g(t- )&4"+%(&'.+&"&

1$%)%&'A&E(t):&)%,+%#%2&"+& B&

9C"D1*%E&&F$,%"#*7&)3$#1%2&1.*(%&

'()*+,*-&.*/&$#!%&

PC*6,(8=(5A&

&X*2,5Q?196,)89&=5,*&C12+*[&

22( ) ( ) exp( ) ( ) exp( )E t t i t dt E i

2( )E &&&&&&&&&]&28652&)9,*9+),I"&&&T8&C45+*&)9?8(A5,)89Z&

'()*+,*-&.*/&$#!%&

&'4*&=5,*&9**O&98,&/* 59O&+4812O&98,&/* A164&+48(,*(&,459&E(t)"&&

Page 9: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

a&

PC*6,(8=(5A+&?8(&D)9*5(2I&34)(C*O&012+*+&

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.(*Y1*96I&

')A*&

X*25I&

T*=5,)E*2I&64)(C*O&&&&&&&&:964)(C*O&&&&&&&&&&&&08+),)E*2I&64)(C*O&

'()*+,*-&.*/&$#!%& n&+;5AC8C,)6+"68A&

&

.(*Y1*96IQR*+82E*O&BC,)652&H5,)9=&K.RBHL&

T892)9*5(&A*O)1A&K=25++L&

012+*&,8&/*&A*5+1(*O&

S5()5/2*&&O*25I-& &

35A*(5&

_*5A&+C2),,*(&

E(t)

E(t- )

Esig(t, ) = E(t) |E(t- )|2

H5,)9=&,4*&C12+*&;),4&5&E5()5/2I&O*25I*O&(*C2)65&8?&),+*2?Z&

Mhs&C825()75,)89&(8,5,)89&

2

( , ) ( , )exp( )FROG sigI E t i t dt

'()*+,*-&.*/&$#!%& n&+;5AC8C,)6+"68A&

.(*Y1*96I&

.(*Y1*96I&

>9,*9+),

I&

')A*&

X*25I&

.RBH&'(56*+&?8(&<8(*&38AC2*\&012+*+&

.(*Y1*96I&

X*25I&

'()*+,*-&.*/&$#!%& n&+;5AC8C,)6+"68A&

P*689OQ45(A89)6Q&.RBH&

PGH&6(I+,52&

012+*&,8&/*&A*5+1(*O&

S5()5/2*&&O*25I-&

35A*(5&PC*6Q&,(8A*,*(&

_*5A&+C2),,*(&

E(t)

E(t )

Esig(t, )= E(t)E(t- )

2

( , ) ( , )exp( )FROG sigI E t i t dt

PGH&.RBH&)+&,4*&A8+,&+*9+),)E*&E*(+)89&8?&.RBH"&

PGH&.RBH&)+&+)AC2I&5&+C*6,(522I&(*+82E*O&51,868((*25,)89"&

'()*+,*-&.*/&$#!%& n&+;5AC8C,)6+"68A-&(CQC48,89)6+"68A&

PGH&.RBH&

')A*&KtL&0

.)*2O&5AC2),1O*&

( , ) ( ) ( )sigE t E t E t

)(E t

( , )sigE t

)(E t

'4*&=5,*&&&&C12+*&)+&&&&&&68AC2*\Z&

'()*+,*-&.*/&$#!%&

PGH&.RBH&,(56*+&

.(*Y1*96I&

.(*Y1*96I&

')A*&

X*25I&

T*=5,)E*2I&64)(C*O&&&&&&&&&&:964)(C*O&&&&&&&&&&&&&08+),)E*2I&64)(C*O&

'()*+,*-&.*/&$#!%&

+IAA*,()652&;),4&(*+C*6,&,8&O*25I"&

Page 10: Winter College on Optics: Trends in Laser Development and …indico.ictp.it/event/a12164/session/15/contribution/9/... · 2014-05-05 · 2443-7 Winter College on Optics: Trends in

!!"#$"$#!%&

b&

.(*Y1*96I&

.(*Y1*96I&

>9,*9+),

I&

')A*&

X*25I&

PGH&.RBH&,(56*+&?8(&68AC2*\&C12+*+&

.(*Y1*96I&

X*25I&

'()*+,*-&.*/&$#!%&

.RBH&<*5+1(*A*9,+&8?&5&M"hQ?+&012+*&

k"&@159,"&N2*6,(89"-&%h-&Mhb&K!bbbL&'()*+,*-&.*/&$#!%&

.RBH&;),4&5(/),(5(I&9892)9*5(&)9,*(56,)89+&

2

( , ) ( , )exp( )FROG sigI E t i t dt

'()*+,*-&.*/&$#!%&

E(t) |E(t- )| polarization gate E(t) E(t- )* self diffraction E(t) E(t- ) THG

E(t) E(t- ) SHG

2

2

E sig (t, ) 2

.

Pulse to be measured

Nonlinear-optical process Spectrometer Camera

Obtaining E(t) from the FROG trace is equivalent to the 2D phase-retrieval problem.

.RBH&8??+C()9=&

m.RBH-&6(8++Q68((*25,)89&.RBH&&>.RBH-&)9,*(?*(8A*,()6&.RBH&'HQ.RBH-&,(59+)*9,Q=(5,)9=&.RBH&0HQ.RBH-&C825()75,)89Q=5,*O&.RBH&PXQ.RBH-&+*2?QO)??(56,)89&.RBH&HRNTB:>DDN-&H(5,)9=Q*2)A)95,*O&98Q989+*9+*&8/+*(E5,)89&8?&12,(5?5+,&)96)O*9,&25+*(&2)=4,&*Q?)*2O+&&&

'()*+,*-&.*/&$#!%&

HRNTB:>DDN&

'()*+,*-&.*/&$#!%& *9";)V)C*O)5"8(=&

.RBHQ389621+)89+&

UOE59,5=*+[&N5+I&+*,1C&KU3&;),4&+C*6,(8A*,*(&)9+,*5O&8?&0XL&38AC2*,*&C12+*&645(56,*()75,)89&K)9,*9+),I&t&C45+*L&012+*&O1(5,)89+[&+1/!#?+&Q&uC+&&012+*&*9*(=)*+[&v9k& &Ak&o5E*2*9=,4&(59=*[&:SQ>R&

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