Simulation of Antiphase Dynamics in Lasers with Cellular Automata. A Work in Progress [Póster]

NoLineal 2016. Book o abs ac s. Pos e s. 91 Simula ion o An iphase Dynamics in Lase s wi h Cellula Au oma a. A Wo k in P og ess F. Jiménez-Mo ales*, J.L. Guisado** (*)Dp o. Física de la Ma e ia Condensada. (**) Dp o. A qui ec u a y Tecnología de Compu ado es. Uni e sidad de Se illa, A da. Reina Me cedes s/n, 41012 Se illa, (Spain) emails: [email p o ec ed], [email p o ec ed] Cellula au oma a(CA) a e aclass o spa ially and empo allydisc e e ma hema icalsys ems cha ac e - ized by local in e ac ions and synch onous dynami- cal e olu ion. They ha e he abili y o gene a e com- plex beha io om se s o componen s ha ollow simple ules. xAwide a ie y o physicalsys ems such as magne iza ion in solids, eac ion di usion p o- cesses, luid dynamics, g ow h phenomena,... ha e beenmodeled by CA.In[1]a CAwas p oposed o sim- ula e lase dynamics which was able o cap u e he essen ial ea u es and phenomenology encoun e ed in lase s such as elaxa ion oscilla ions, spiking be- ha io and pa e n o ma ion. The model can also simula e he physics o pulsed pumped lase s [2]. 0 2000 4000 6000 0 2000 4000 6000 I1 0 2000 4000 6000 8000 0 2000 4000 6000 I1+I2 0 2000 4000 0 2000 4000 6000 I2 -4000 -2000 0 2000 4000 0 2000 4000 6000 I1-I2 FIGURE 1. To model an iphase dynamics in lase s wi h a CA wo lase subsys ems a e conside ed. Time se ies o he in ensi y o bo h popula ions, he o al in ensi yand he di e enceo in ensi ies. The pump- ing p obabili y is p=0.01 and he coupling pa ame- e β=0.8. In his wo k we ex end he o iginal CA o s udy an iphase oscilla ions in lase s ha was expe imen- ally obse ed in a class B Nd:YAG lase [3]. The CA ule o e olu ion is composed o ou di e en p o- cesses ep esen ing he pumping o elec ons, he s imula ed emission, and he decaying o elec ons and pho ons. We also conside he lase o be com- posed o wo subsys ems associa ed wi h wo o hog- onal pola iza ion eigens a es. The e o e, each one is desc ibed by i s in ensi y I1,2 and popula ion in e - sion D1,2. The wo subsys ems a e coupled by c oss- sa u a ion phenomena: he in ensi y o one pola iza- ion is ampli ied by he popula ion in e sion associa- ed o he o he popula ion and he s imula ed emi- ssion in one pola iza ion sa u a es he popula ion in- e sion o he o he pola iza ion. Theo e ically i has been shown ha he o al in ensi y I1+I2and he o- al popula ion in e sion D1+D2p esen elaxa ion oscilla ions wi h a equency Rwhile he di e ence I1−I2and D1−D2exhibi slow elaxa ion oscilla ions whose equency is L=1−β 1+β R. P elimina y esul s o he CA simula ions a e shown in Figu e 1. The classical poin o iew o s udy he lase dynamics a e heMaxwell-Blochequa ions howe e heCA models a ecomplemen a y ools ha ep esen anad an age in cases in which he sys em o di e en ial equa ions ha e con e gence p oblems. Keywo ds: cellula au oma a, lase s, an iphasedyna- mics. Bibliog aphy [1]J.L. Guisado and F. Jiménez-Mo ales and J.M. Gue a. Cellula au oma on model o he simula ion o lase dynamics. Phys. Re . E, 67:066708, 2003. [2]J.L. Guisado and F. Jiménez-Mo ales and J.M. Gue a. Simula- ion o he Dynamics o Pulsed Pumped Lase s Based on Cel- lula Au oma a. Lec u e No es in Compu e Science, 3305, 278- 285,2004. [3]Edua do Cab e a and Osca G. Calde ón and J.M. Gue a. Expe imen al e idence o an iphase popula ion dynamics in lase s. Phys. Re . A, 72:043824, 2005.