Eenstein cme ecient: -
Cansicly 2
intgy, howls F, ancl Fg+ Lot WN, and Nia
be the PUL BA
alems “Per unit volume 4D
cnagy hvelh a ana a:
Mr ation in, Powe trogy Lovel &, absorbs A,
inctclent radiation ANA Gets encilecl 46 £y This
pAeians At
the AGence ©, “rectia lion ‘The
ott at which abse\p lion + fare Race fem
fe vel | to 2 cell oe prspertional -B te number
of atéms prrtne un UD hovel £, F, and enews Olersily
Of Tactiatten | aCe). op ulweleo Then, athe nume
ek
pee
ars
Loe Otters Lendingeing Tedeahe ¢ absorp isn
Grit me pee Unit volume from
|
fa ol wD)
a a BiaNi UCw)
Bia > Popes tionralety content
19 tn—ato dn atom wwhech wze 0 The Cppes |
ene hovel &,
ky makes 4 entineset emission EL
Get ducreitid t0 £, The number of 204
mackecr
-
Ta ol Ulw) Ne
| Yew (3, = By, UC Ny
AL] thermal ilibstun, the number ward _
“rolpsition = nie dawmunad beng en
Bia N,Ulto) = AarNo + By UCwIN 2
f+ Uw) = Aa Nia
Bra Ni~ BaiNa
Ulw) =
Aas ey -Caiviee by No) —
Ba/ My )= Bar —
pring +2 Boltxmann Law, the cates of -pepulal
Lend 2 at ctenp ero ture T, |Bg RF Be)
- _blensi
8” Plhancled* Lor , the radiation,
)Acabs
Siping Hw we? 1.
| TR oF ea ©
Mo =
Arfractove Andex of the medium .
C=
welncily & Light
sypations @) ond ©, we News
Ce.
S ub « Aa) Z Kwsne
4
BBS —
1% C3 (aE )
= Aaifaa
Kw 3n2 |
Tees Vem —1/)
1
hints A and B orrcalled Kensbeins A ont B _
Chan ks -
So
Shovim at
a Ae oratss &4 numberL emission ns gon by
te Stimulate
ventantous A
7 R- Aa Ma oun a
Bar pq u(t) Ba ucro)
7 7 abe vend Cte) = _ Aaifpar
- (cS -1) —— ____—
TRo Pa. CB) | Be ratio me 4 per,
Bout) aa i Grin Decked Lenkisire,
rink time per unit Velume our 4 traci
Yeoh 2 te | (dt): “s
y
j Og, = AaiNa
_itlrdNg 2 AgiNe
AE /
| : _
| os dolly = Ag alt
No a » Cons tom a _
| HUnNa =Aart +N (o) / 7
1 _IN[NWOFe Ng Coy SAart
Thus || thre ae 7 oo Z ;
a pepalodion of tevel & necluces Ay fe om
ot He Ura, toric 48 © called the sp.
“talline Owotatih with ye po tpentonsess _—
He See » Fhe tromsition 2 te |
fap ~ Agy ho >7 |
(Date:
| Page
= rad)"
16. Consiollr ar Optical source at F= l000Kk w= Ve Bic
Caleulat vake 6 Apentemeous te Himulabed —
LANkSS HOV - a ———
Pos. b= eke -1 a
| { = en (0.994) -}
| = oto Go ee —
ee ee
__|_ __}, aaa
Qi fa Ale 2p ls tromsitver, in drogen ate, —
Ahe Aefetime of 2p sates fer Spontanrous Cressi
| is tbxi6 4s. Coleulate By, WY = bS5xolOs!
Ne = 1
ing Yth tp exes
=|
Aa Visp = 6: aS x 108 s
nsec Relation ,
Aay = 4w3ne
uot
fp 2 een ASabe x10? & mifos2
3 VATXIQ+
Bae QF /U 720957)
iy p Page : "|
—— = ——
¥
[Th ot ebseve dhe fea f wodcabion, fem oO coll ehig
wef mou PONS Ue find Shot Aadtater 4s nee Sti Aly : :
| mo chnomatic | but Apreact eer 0 Lenton faenyeeney |
Tandle - Semilonty fer abtenption , use find thot ~_ |
MS ONC abrerboct te abser bing mee Aust o Single
Leanne rut tadialion erm a bank of frequencies 4,
merges Livels Aove widthond atems can cnliask
csith| radiation CUesT a rronge of facapenced anol hi
eee seen
C 4s Calleol Aipas
ented Glw) amd ut if mrouinla dined, acceding ts
w)duo = |
[hot is, Out Aetot Nz ancl Ny atems per wit
IN vent N, glotw _anel Ni yew) Leo ators pe
with be Capabtee 4, interacting ee
waalators Me ee belie Wand We dw)
[Thasrfose, nue ww ef SHirmuloted armiteeconnd Pe
unit |Lbume ~ 2s gusen geen
(a= Ba YN
2 2 JB, uC) No 9 (co) Ao
a a 2 Ng Ba, (uCw) gr) oluo
ay! = Ng FL \ c(t) g@wcea
Se ae Kore ty) ©
\Hei _ |
alos ane Hrkerccting curethy odiation ushee
so sy loreal comporcd bo gt). Then, wsecan
\ assume ouer the
-g te) tokeanation eo hat tu) is”
: | | LA appuciabte , ue) —ceee tin,
_\ Ww euk Ahe um
| x Sf geal
Nani?e3 (uta (guna Nyme (ed _
L HN, & ws J HN ee a ‘
t Woy Wramsinnn ee
Coscihet
Gge ay zy use Censidy the atenns Ae cintera aseth
Menorhsematic Aacliation and the yen cap Sf invite
Setemmcting vacation us col. Then, «(to) ene Soe
og
Brave prokid a W=W, and geo) gan be taken ut
t
a aa - of tie © Linkegaat
_f— _
y \a fi
| Hh gray — Va”) Then, Tye Nas Lge) “3
| | \ ee _4ne + ty (or dec
” Taye Nonte3 OU gfe”)
ne Esp ap
- ep we
See fie faced o> WUtiXS %) energy Per Ne a
fos “unity {ome OWindaced) oo
[einilly Ae mssmbus of Atenstatad atscuplioe e08 pe
[Unie RL per Unit yobume wall be” ave
oP Tae NUL (aww ao Ov na a1
s—
THY]
|
=
A res
eadz
Consiis, a talon 9} aloud aod we gL ness
Aho medium
vd
ean EE aR REPRE D por
pianss Prand Pp 6 areca $ Sitrated at
cule Ktaxn, =X Aectng Ae obXuctcer oh prepogation
of vadiodiory . 1 Taand Teed)
real oe
seg et sediotion eb RX amd edz aie
Veluwe, 8d: ede. een af Soa ve
Saz 4
Te EQS EADY ¢ ) 8 Tintensity Energy. iret a
| ta
j[PG)= (Poms fary ey Je = “€&\des — 6
rue Ase. egal te he mek erage _ableibed =
tn the Volume Sdx. The ees gy absesbec ad
atoms in going from Level [ to Revel 2 well
_ rhe Hu is the ANGE absorbed her
“ty am atom gov (x kvom tea. =“a demithrly the a1 enege, Heleated (emitted) through
su d_emsvons from 2 te Luwill be Tp, cdzweo.
=f ; pe Fay Sc)
*)| Thus, ere net maka abserbed pe Unit tine ill
be qugeu b 7
Tig Sdz Heo'— fh, Sdxheo!= Sz BWC Typ,
aboerphro F eve - ai 3
Seploo SF ech: = SdxKes'/m,—nb) he Fey
ae
2 Tc3. 9leo DS de (Ny—NaU —()
HOOD ™ n Pte
P&Is> Foe" |] a
cons oo _
a ification te happen, ob Adeutd be “We Fe
Fre is (N\-Na) Streutd be “ve, 1-¢-
Tass conditzon cb calles pepebetion sovesecen
|
Rete.
05-12-2023,
Thoes condition :-
Tr offdir te generate
cvadiatior , Qw Gorn Lik ey cng medium
As PHand sx an
a
O
2 otricth consists
-pals of muro Rach ether. Radtation whl
bountis bock and ford betusee the winnrorg ib
Ahi soy Abe Qiyi anediun nol ale
a clue to nite ctivety o¢ the
aa ond ether Scattering anc oliffactron Lore
oscillations howe fo fe sustacnecd aw the cowl
ich ire Lote MU be
di bosom
Compensatecl oy Join. Ths,
Twn ulakion inversion dente is Avg pid
Lowes and this 4 callect the
Arshvll bopulation unworn .on order 46 eblaun [earar ex Hhasbola pe peclation.
det d Acpruent the Length oe Eaeeaei et
a ff, Gmc Ry Apion fi Neflacha eh the
Privweny HE of) Aupyserit the, faetege Lote pe welt
AW clue te all. HPrechamiems. Sucli ab scatter« . Lifaach
Cenecter | Vw hada
Co tc & vacation with intensity z= Leanne
WMO) \As it kh _ php egates Hrreugh the cre and
caches! Ane second Triana it 4b on cool by
ead ravcl alye re Bu. wy ‘a Boas. a ee
The ontonsiy the & etek toeam— the Second
Mitheyy coll Ae TR, ek Aa, A Second pases
__ [Axe gi he Avenater ond the lo cto "ok
ise imev Readt te an - Antensi ‘¢ the racettior
__ afer comple Round vip) of, TR Re Fad
Monee) fer Rowe esscillation fe begin, aeRre eK
{fl a, Ry EOFS i] —
The efuably Cyn gerd the thermold value fore’.
| lL Ve
| Tote, meteors Regaadlr ech —InRiRr
~h % ThA Re od
haDate : 7
G Page :
———
s
Rus bf 2an@ ends on pare Covi p ponents Tas
ety
toy of
cmedionn, yer te Oe ao -peint secures by a
Qld
R, Rae att = caffe — Lorie)
Aime cowpenling® te Ene Astund tip .
be Adbced ~ ae xp (—adn \ + Thus
MI MURRe) =e tds
cte
Toeting, fogarithnr. en bath kas use have
7
yw
Qk, — Ania > ade a
= E
Aw,
+ “ye
Fe $end Ln, a ”
Cc
Zquationd a by aos x= Wer ga) 0)
MH > nv tspDate: y 7
Page :
co? Ki oo
fem) 9) (n-ne) F
Moy © (Rd
ost tbp gin Ri Ra = Ete)
ez Ne
Se _Lem 3)
SNa-N, > wane? tsp
\’ Tc? te 9 (wo)
Z_ QUT) 2 NP tsp -
Tc? te gw) eee an
[&.- “i> Aven
\__ aah Ga
Te *% Qn gives the threrirold es
winnie daw 4 Gprreck dex the orcillatiory 64 the
Laser
Te trelue Revo Houbotd Value op population Lnversion,
Aho uo ONL =
eet be Range jue (awily Wie muse PE EEmall
iy’ Arorll be Smaller values 4 ‘tsp ( Alaa tion Sa 1.
(ii) Trt peale vals 9) 8 crve ‘prspostional
He wwldth B® of “Glw) edd
4g “fometion matter wrlth, gros _
Longe vous se which sein at § Smoller Hreshrold
Valu ¥ Ni-N
ae usd
OY) taco (fe fun egt”
GD) Conkeptes a Aube Rewer, with, the paramrcby A, 2 ga,
|
{sgn®
v ae va > 40 |
= 3xistc Mee Te, A= Sem, Riz Rr=0.9,
| Ih —_
Oyo Pind Nyo-Ny- fle) = Per x16
_ snd! 33
| No-Ny = ayn? (45) [1 td ~
eo ke gfe _
Dror SBA =D YD = a - fee” 4,
yee
(sn) gle) a
= ea ne Tete
Nie
/ LnRR:
oo Sa (2 no) a
= 3x? (=Jno.s1) = 3-51x 109
- oT
— ~ Sre
ONSEN One (ifien): 3. stxto4,
a) ;
OO ' _
non, by tee axl. 32x10")? «(). Te KKK 357
ie
i Ex (CB? x 1. Ixio TE =
ZS HAB3x 36
2-¢T x10l7
No -N, Dovey dt (owl?
—<——: | Men = Na (Tat WyQ) =? No. WwW
— hebes fate Ration:
_ Two - Lerel 4 -
(Consiolr o aleve Q- i g Jenn ¢ consist (Sea Zip
Me velg Kancl & wrth Ni, ancl No rember Of atoms
Yunit v = Let vactation egen co
ie oe L a yshen
_Ceith cnonpy § olin sity u be inetdeot oP
Z Wa (Ni-Ne) TN. Nz
a Wie (Nee) FT Ng
| Tn, = Noe) ahoms Uncle w>$ Spontaneous trransitioo
from £, to &- f Radae.< U nco-radsalevé )
| At equilib Scr , aN, - AN, = 0.
| At ae
| wylNiaND-TaN, 20 5
Wat, = WN, = TaN,
12 ~
Wet Tay
| 7hsce - denel Lager $ steno: - a _ a
(Consider a 3- herseh Systeme cans) -, eresgylewls
Fi kg ancl & Act Ny ny ancl ae kesent the
Population olensit, « hee Lvvels, _
The pump Life the _atsm fom teed Ito 3
Fem eoAC CA “ee dic
toe Ler |
i ts the “pps ter achieved beteveen- Band 2 son for hf
Btu out « Aso, Lowel way Agptred, Te toe Su feiny|
Lon “ae sound. Lesel 40 that ot erinary Lendl
(ert most unpepulated -
GRE Ny, Na, Ny and Ny Jocthe pepulation obesity |
“levels (193 and #.
crab of change of Ny pany Wy (A — Ny) = Tae Ny mn
Ny ws the numbu “X lerns z urnped,
ys Ems pur unit valume-
ohh = W, (Np ~ Na) TaNy — Ty, Nz —@)
ii iy (N= Natty TN —O
a
ae = wet va) —~
AE 2 at a ise dip 2c
olt
D3 MEA Cert: 20) Ne = We
Sea
the, fbi DS” dawn
Apes, Bean Der
WoT, 4% nau Gan) ee
aa ; To
anAc fist Lara t be operated wat “he Ruby Sarcss-
Th wat fabricated by Maiman tn (960. Zt Sensists of 0
Cpstat. Auby where and one is
Cettly cbiseted and the othe” parctially Silverd
[prtenics loading (8 populatioo Ab O mele lable tate othe ut
ke Fa ea dlihg” te depletion 4 pe condition
erik. prcbability of ms excitation ef neen abr fey
tis ibe and get olurxtifid to Level E+
= TAs Legh porn gat Laden 28 compasied tethat
from sebid Stats Lasers is found te be more auch
ond Tre menechremalit. Thes ig clara ei
fee eee phuent to Ki Selicl and alse &
darn. The gas Losers ase
expats I, appdqir oppeyens & continucus Lares Bean
One lisadva wba 28 rfernol mused
Lis That mianogs oN endkal ded by the
discharg ¢ + CARD eter fH MoKOLS Ade cUied, : ihe
encls the Aischatge 1 lube Cause a ‘a bose dus te
____Pefecctivn. f0, erate HS coindouss at thaents
Are discharge CaO which are at Breswstels affe\_ 4 =} pe — ee
_ To ee
Ta Co, Loren:
Ths Loser wes the hransifieng ecent, Yw Lifferent
Vibtatienoal ¢ tote % he Co, molecule - A Co, mekuly
Can vibmate eh Bthdepencline mocks ~ the symmti
Stretch, the benoclng® the vie. &tretchmecles .
Fach & tore hag a definite Argpenny Of vibration .
The vibrattenod Aygtes ane “Yaint Red Thuss, ;
+4 ae | Coll % AR Comurpe, ing te the
Eymmetrie Staeth moda The melrewle ean har.
LPLRQES % sn |
Ey = Cote )h®, | M20,1,8,.., a
when HE Vibralts tn Pha Symmnekei e Steetch mode.
Thus the Ape of exeilation +8 ehoracterined by m.
| Ln Os (otek , Ore Maicos ure ef transitions 6/0
| &% Aelational sublesed of a vibvalte nal Ler Mand
Aetalis Bublevel F 4 tever
No Lt —-p ane _ oe4k “achieved Brox Ba. G™ Shag. and tx,
Cain action produces Cuba at /0, per ak 9. 6,
Ac @ clolilien aK No gs foo tha cA, Jj* as Herb np
fi 6 pficia GTA Caner . Thus, TaN, , mobrouSes an,
excited (Othe, upper Vibaa. tional) Lorre and 4 Sep
hat the treo, differen bho by TAS Lervef ancl care
vational! ae husd) the. nitrogen meleerle maps,
ENE:
molecule wb Ho alfa Level. Thus thewig ,
Vieiy ficitnd trans RL Yur a. a "thregen,
ieeuste and & Casban Aisxide, molecule Rb lbin
tH The her exci labo « 7 the Co, molt This
neater, the Hfiecene ef the Co, (acea
| EN mene fficwant Commpaes
Othe
ot
ih because og the ee thal
oe ayes ws He de renee The lover
a
lam
ret dar te The peurd Loved snvabves & Sapé A cine
penne Y orespy, uhich « ALI Net Contribeate /* he
Oo Clare. behm. Lr Contrast an
Ree Ca, are,
ceils Jak en,
fon in Late. Prans fensase
Shs. vibrational tomer ~retatip nal Le ave lg °f: Tha -
» hee be 7
the ground. lev ef and Renee
KE, ia a eng, © “J
CCS ate vey © clan
a Lege pet tiwo
ke Com, ented a Tee cafe
|Lave. reg Aes tng Ln ey oe (icin ies . =
Nibwooen
Dye Largs i
uscd 19 Lasers are nee subs dances which
absesbin the roar Ov viaib ee ot reas TR vepicns
a the Ero Spectkurn - These Substances ALL molt
Commenty selrals which are ot % wlved 4p voscous
Sobvenlt Like watu, thet alcohol , methanol
aie style geet, ate. Spend toteish wias gerscaled
Here, Fn ol fant vibrationd) sublevels deches— patter
HK Afferent le Konic Staaf The — eye mekcule
Poke part ty Fhe Tk , Avansition » The fegere _
pat Lagan of =
a cohsch Spuscat AFR elec lkonve PEL
Level coh Contain § aks Le reco a
Subhevels . This Burr colle. toads a near
Cantiniciinn Miche els lea on oonDate :
absos tion and emissieo Spectr - -
Because % absorption af bigb ,
tie
ret cavited ks unol Stat. Sp Fag,
Vibrational votabtoncd vet the next Lonic
t theemal Acdistebubionin ¢
Se Becase
smest ef the dye meteculss rep devon te the”
Lewest vib hel Bet S, > Rackation
emitted when tha meteeules olecay fKerthe |
Lowel B te ony ft Aypeng, vibrational Subs,
a The LefebimeT
bf So. Tha “Perma Lluwreston ce .
of worl B fos dye moteeules about 1615
?. rt a
ee Trepictl|- to as APHAS slEm Choktin
relaxations te trp & trvel T,, AW
Aloe coles som &, Cah altomake a nonvadiati
i}
| Le Aas. achion {ori 2 Xeasoms:-
Leadis
CoMebpo rudi
“pe ulakion which is the upper Last Level.
veoh
This As detrimental
| 1) Thes -pdocess Loads te a Seduction S)
2) The Absorption Apecteum Of TG Wu
overlaps the Lmisccon 4
|
prevent Laser oscillakeon
ee
Ate a Loss al the wavelength
thy Lows can be 48 Strong. as £901
ctrum 9 Si so
te the Lorn 2 mussion _ Th] act
+
For Geod Lases action one rust Acouh toe
threrheld Luvel before a significant riucmbe
Arguing an exeiuine Seurea with a
Aube times e™ pulicd Lasers
Cate . 08-01-2024
Quality facto
the
MmeCe cules hove Aso el Level T. This |
Tra a’ me nsiondess
ah oy fat
Aver gy olkssipatron an a Arsomamnte
ii
a
asxametir “dhat chara ckeriees |
GS by. femparing, tire time conttonk of ok
Sy SMG Fe cthe oscillation period Of the Syshen
cay.
ofae
aren wm © tical Avsonater {there Oke cliffurent b,
of Lote and cdissi a ain snug dig
in deums ) Q. Tt & obtfined ag te
Qe WoKencd ana oc: Req - 4 roads,
Onenay Seiya
1 Wt) > Aepruvents _ the ene Stored tn thy me d,
Ok Atme ty thin Faw; the he enka, setyab
PA Second. Then (Or hecons
Gs WW > dw = 7 owt
| —2 ot a
FS
_ _) dw. -w,
Wik) LE Q
u Baabing Anwi(&) = ~Wet +0
[too = C= = On (is) . Q
This ends to Cs : sy,
votth cp S46 exponential de ey 2
PS 0 a rede, ah tha field Abtoe cated orth, at
given ny E(t) = ogee Ome vee
fo B Hake ae
“Ivonigesm
E>) = SE SME tae fam,Cede.
~ ED) = Jee e 28 ert ee —
= et fe, CF" —
- Ee
ery E. ——
o
= & ue : l
AB = EO __
an Ut @- ae —®
TO) 2 [Eel
am ae >
FrAcagpencep ew peaked, ak y=? and '— ee
— 98 /\\.
as + (P=? y = 2, | _
ae _ Fe {
»,? — an
FO2Ye aa :
- . >». SI Yo >»? 2% Yo
(=P) aR aa 2O
a De = nm oe —
= eae to tall the peale Vale
at P= %eD and P-D-D
2a 2g
S FWHEO > P-D, 5 Mt Pe _(X- 2) 22 -
pees Vo jo" Q>= ually fetes —_
| Homer , neat, of culput oleps pencls 4 mcle inetly ¢ enQ
oe ned co the —s Smaller tu Nosrsis
HP at Favela conc Amel
wiclth), -
In ordar te
be tha total 4 culate Q ef aerator, at WY
“4 Contained _esethin | Se _
rut Compete cs cle ef oseill pgeilati!
AD (Fret feequency- at half
tanity ak t-0_a Roe cavity coerce penile toa po of bef le chon
idvem mises M, and ™)_ and, aH OL
| dubsesp-hion ee: Oe pu unit Length.
Henne, the LMEKG, Nematning wolhin —
| cant alr ne Completh fel , 6 NOK Ree
whe eee ogee dungth of the cavity .
LMehave #& 2nd —@ oe
= Cc
t
qe oan oH? = oe
— @ > Wk)= Woe 8 tet —~®
___Companiry and
3 =
mary — 27D sx 2d
WE Ry Re PMt = Wey 6 PRE
[7 — (Boe ORR ADM
|) os. CORR) =e Ae
ee Qed — An RR = AT, Ned =e
| ae
(58s iind sad (1)
_[ Rd -ANRRa) © ReaD
- $$$ SZ,
| Ultemati Line Width Of tret Lager :-
| One of the emnos+ cmperteunt ‘pAcp erlicse/ Las
Hs it abildy te produc Light of Aegh Spectral
__ [pwd (ThE Spechal widlte 6f Layee Ub ecacued b |
Teco (ie “oe
BLAS |
|G) @ur te extemal fartou such as kempaatau_| ®seillate
ng
oo 2c)
1 Je She Ba we ;
moc £ acven b 7
Q- Pang ‘sere
ents clisip ated pax
Ako Aine width Ay 4cllletion, Ab Arlatadte Qual
fick by 05). 5, b tllion i Aedale Gull y Dy,
U
ARs Bay ER
SO
in?
LMRion, Rotons fro, d nko
k= 13 Ay gay
DL Us HO, k= 23 KX oe5 Ae the passive cavily Lifeline, tha rumbas/
atems 40
“pp Aewel (Nz) <& Joven by
N,&
Ee
e
Put G@) H@®, vate of Spontanvo us tmission per
unit me = Va. —t) 7
ae of, ened, eperaking, per untt bme
dus to Spontaneous cSgteML LMnisyiown = hv, ~G
Arvownt
eC
Zh there ahr Vv photons in escillating mode gui
total ange Nh», then
Subput power Pout =
Nh or -
Nh ——8)
No. 4 pholons prnent & cavity mode, Ns Pout fe
4 ee
Aso, mereu, Stored in the mode
Nh>D> = Pout t—@ ar
QP ym Qe et Rut tes Wa fayst
We hy,
~ aT DO Lae aa rae
2 Q= ATM Putte = rv, ea ot
hyvs A» rT
Ay = YS a S he __#e)
04-01-2024 ATP REE
Covity Lifetione t: Nlotd te @
kez Q
any,oat
I, atu" Date
ey
[Bina Q = = Ar , tee am
(Ty bes DY , pattie cowiliy Kine widely
te> vam —@_.
Put @ in @, then - e _
| Pee Wut
BY Seep athe”
ae Line esidth
= Pout — —
> a oThSory 2Q%)
a oF ee SS oe
_ Aine : Ah Ling width a 4 t altterminect aux to §
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