Linear Electro Optic Effect for High Repetition Rate Carrier Envelope Phase Control of Ultra Short Laser Pulses
Abstract
:1. Introduction
2. EO CEP Shifter
2.1. Theory
2.2. Experiments
3. Prism Pair CEP Shifter
3.1. Introduction
3.2. Theory
3.2.1. General Configuration
3.2.2. Minimal Deviation Configuration
3.3. RTP Prism Pair CEP Shifter
3.4. Comparison between Different CEP Shifters
EO CEP Shifter | Dazzler | Grating compressor | Glass wedges | 4f + LCD | Lens + rotating grating | ||
---|---|---|---|---|---|---|---|
Longitudinal single pass | Prism pair double pass | Double pass | |||||
Δτg (fs) | −5.78 | 0 | 0 | 7.9 | 43.7 | 0 | 0 |
Δ Ф(2) (fs2) | -2 | 2.6 | 0 | 1.7 | 1 | 0 | 0 |
E (kV/cm) | 2.86 | −0.43 | - | - | - | - | - |
Displacement (µm) | - | - | - | 0.54 | - | - | - |
Bandwidth | MHz | MHz | <30 kHz | ~10–100 Hz | ~1–10 Hz | ~10–100 Hz | ~1 kHz |
4. Conclusions
Acknowledgments
Conflict of Interest
Appendix 1: Derivation of the Isochronous Condition (General Case)—Equation 16
- -
- β apex angle of the prisms;
- -
- θ1 incident angle on prism 1;
- -
- θ2 refracted angle in prism 1;
- -
- θ3 incident angle on the output face of prism 1;
- -
- θ4 refracted angle after prism 1 (in air);
- -
- θ5 incident angle on prism 2;
- -
- θ6 refracted angle in prism 2;
- -
- θ7 = θ1 incident angle on output face of prism 2.
1.1.Calculation of A:
1.2.Calculation of B:
1.3.Group Delay
Appendix 2: Derivation of the Pure Group Delay Condition (General Case)—Equation (18)
Appendix 3: Derivation of Equation 21
Appendix 4: Derivation of the Equation 22
Appendix 5: Discussion on the Possibility to Stabilize the CEP of a ML Laser Oscillator with an EO System, Outside the Oscillator Cavity
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Gobert, O.; Rovera, D.; Mennerat, G.; Comte, M. Linear Electro Optic Effect for High Repetition Rate Carrier Envelope Phase Control of Ultra Short Laser Pulses. Appl. Sci. 2013, 3, 168-188. https://doi.org/10.3390/app3010168
Gobert O, Rovera D, Mennerat G, Comte M. Linear Electro Optic Effect for High Repetition Rate Carrier Envelope Phase Control of Ultra Short Laser Pulses. Applied Sciences. 2013; 3(1):168-188. https://doi.org/10.3390/app3010168
Chicago/Turabian StyleGobert, Olivier, Daniele Rovera, Gabriel Mennerat, and Michel Comte. 2013. "Linear Electro Optic Effect for High Repetition Rate Carrier Envelope Phase Control of Ultra Short Laser Pulses" Applied Sciences 3, no. 1: 168-188. https://doi.org/10.3390/app3010168
APA StyleGobert, O., Rovera, D., Mennerat, G., & Comte, M. (2013). Linear Electro Optic Effect for High Repetition Rate Carrier Envelope Phase Control of Ultra Short Laser Pulses. Applied Sciences, 3(1), 168-188. https://doi.org/10.3390/app3010168