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# e894as3j - ENSC 460/853 Assignment 3(Mar 13 2008\due Mar 20...

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Unformatted text preview: ENSC 460/853 Assignment 3: (Mar. 13, 2008\due Mar. 20, 2008) I The total power emitted b ‘ I I y _a CW laser in the TEM ‘ calculate the irradlance (power density) at the spot centrggorfizrlrssf W. H the foe ﬁsed spot lie2 radius is 0.3 mm ﬁrng _ 2697495”? "3 -- ’ ff WWLWﬂTCwBJZﬂ X/0 W/mng’ __I ' 2 A pulsed Nd:Yag flashlamp pumped laser operates using a 100 [JP capacitor charged up to 2 KV for each — .. pulse. The laser emits an approximately triangular pulse (see diagram in notes) of duration 1 msec and peak __ power ] kW. Calculate the overall efﬁciency of the laser (assuming the Capacitor charging to be 100% ' —— efﬁcient) I .1 "if 3 Calculate the refractive index difference per centimetre in lithium iiiohate (LiNbOQ for an applied lilei‘l of 1000 Vi‘cm. How long mus! a longitudinal Pockels eell be It) euase a: phase change of 90" between the fast and slow rays I‘m' it ruby laser light (?-.—fi94.3 um)? I. i i I 4 If the spot radius is ? mm for a HeNe TEM ‘ - mode beam enterm a l f f: {3) Calculate the focused spot size.(3 marks) m g ens 0 12.5 cm (1)) Calculate the depth of focus to keep the spot size within 10% of the minimum value.(4 marks) At" (0.5323 w = __ a M ® 0_ "we 7M 0-2 cm) .= 5 For a GaAs laser diode the iaser emission area is 1 micron thick by 25 microns wide. Calculate the divergence ———— angle in the verlica! and horizontal direction. What is the Rayleigh range for each direction. (8 marks) 6 Assume a single layer antireﬂection coating is to be deposited on a IR quartz lens (n=1.5) for a wavelength of a Nd:Yag laser (1.06 microns). (a) What is the minimum thickness for this coating (3 marks) (b) What is the next smallest thickness that will give an AR coating. (2 marks) raJ \ ¥M9ﬂhm%ﬂgﬁirﬁ7:mﬁ anwozoeaaaw 9m}? zfa-tzw-zw-i l (MW-"wor— fo :.L~_ﬁ1m.. A?— WMZky/é’gﬁcc : gIW/ﬂiﬁy/ﬂrgo‘fﬂﬂ m 8. A HeNe laser operating at TEMUB has a resonator length of 1m and mirror radii of r] = 3m and r2 =- 2m. Locate the waist. Also determine the spot size and divergence angle at the output. l.....T_ _ ’ {Tri [ill[ ,— 1F=-—e—- ['IJIJJ_‘;[IirJ _ _ 91=1—%=1_ﬂ_ 1_.. _l_r_1_.!t -—L—— 1 m 0'6“ 9=1—.L_= 1m ' 2 r2 1-2m30.5 * 25 = "‘\$'—*:*Eilfﬁ. o 667 9: 92 - 29192 0.557}. 0.51 - 0.5) 1 m we a Jila [9192(1 - gzgznra {91 + g; .. 2919,9212 " l— W :- 532.8 1/2 I ‘ ,I { ° I 1m 1m J 0.667 n 0'5 1 "' {0.667 .o_5 1/4 — o. w ‘ 435 um I 657 + 0-5 - 2(0.667J(0.5)]1/2 “ 32.3 nm 3 0.943 m . i o —. = : I f I ZR] 1 (436 umJI 1 + [ 0,667 m 1211/2 _._____ I _____—— 1 ;_ﬂ V = 534 um 0.943 m _. _.____.___E_ —'—'-I——._. __:' I i I 9 d9 - . HHHE‘h-wol'lq-{grlmzz z? = ' z —- =- o "—___l R 22 '2\a\ __ a 2,. [1 + I; J 1m % _" a m i ' L— 9" 3‘ 0'667 1“ 436 um) ...
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e894as3j - ENSC 460/853 Assignment 3(Mar 13 2008\due Mar 20...

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