**PUBLICATIONS****

**Optics - Orbital Angular Momentum Wave Propagation**

1. R. Bhandari, "Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory", IEEE Photon. J., vol. 11, no. 3, pp. 1-21, Jun. 2019, Art. no. 7203421; https://doi.org/10.1109/JPHOT.2019.2920097..

(also appeared in http://arxiv.org/abs/1907.04664).

2. R. Bhandari, "A General Expression for the Output Intensity of an Orbital-Angular-Momentum (OAM) Mode Traversing a Perturbed Fiber," in *Frontiers in Optics + Laser Science APS/DLS*, OSA
Technical Digest (Optical Society of America, 2019), paper JTu3A.61; https://doi.org/10.1364/FIO.2019.JTu3A.61

3. R. Bhandari, "Orbital-Angular-Momentum (OAM) Mode Mixing in Slightly Elliptical Fibers in Perturbation Theory," in *Frontiers in Optics + Laser Science APS/DLS*, The Optical Society
(Optical Society of America, 2019), paper JTu4A.56; https://doi.org/10.1364/FIO.2019.JTu4A.56.

4. R. Bhandari, "Spin Orbit and Contact Interactions in Orbital Angular Momentum Modes in a Fiber," in *Frontiers in Optics + Laser Science APS/DLS*, OSA Technical Digest (Optical Society
of America, 2019), paper JW4A.122; https://doi.org/10.1364/FIO.2019.JW4A.122

5. R. Bhandari, "Orbital Angular Momentum (OAM) Mode Mixing in a Bent Step Index Fiber in Perturbation Theory: Multiple Bends," in IEEE Photonics Journal, vol. 12, no. 2, pp. 1-10, April 2020, Art no. 7200510; https://doi.org/10.1109/JPHOT.2020.2972199. (also appeared in https://arxiv.org/abs/1912.01128 (arxiv:1912.01128v1 [physics.optics] 2 Dec 2019).

6. R. Bhandari, "Spin Orbit Interaction Constraints in Scalar Perturbation Theories," in *Frontiers in Optics / Laser Science*, B. Lee, C. Mazzali, K. Corwin, and R. Jason Jones, eds., OSA
Technical Digest (Optical Society of America, 2020), paper FM1D.3.

7. R. Bhandari, "Polarization-Induced Orbital Angular Momentum Field in a Multilayered Fiber," in *Frontiers in Optics / Laser Science*, B. Lee, C. Mazzali, K. Corwin, and R. Jason Jones,
eds., OSA Technical Digest (Optical Society of America, 2020), paper JW6B.9.

8. R. Bhandari, "On the Correctness of the Polarization-Induced Orbital Angular Momentum Field in Optical Fibers," in *Frontiers in Optics / Laser Science*, B. Lee, C. Mazzali, K. Corwin,
and R. Jason Jones, eds., OSA Technical Digest (Optical Society of America, 2020), paper JM6B.6.

9. R. Bhandari, "Analytic Expressions for Orbital Angular Momentum Modal Crosstalk in a Slightly Elliptical Fiber," in *IEEE Photonics Journal*, vol. 12, no. 6, pp. 1-21, Dec. 2020, Art no.
7202621, doi: https://doi.org/10.1109/JPHOT.2020.3033406.

**Quantum Information Science**

1. R.Bhandari, "On Single Qubit Quantum State Tomography",

arXiv:1407.6668 [quant-ph].

** **

** 2**. R. Bhandari, "Alternate Forms of the T-Matrix in Quantum State Tomography**",**

arXiv:1407.7843 [quant-ph].

3. R. Bhandari, "Quantum Error Correcting Codes and the Security Proof of the BB84 Protocol", arXiv:1409.1452 [quant-ph].

4. R. Bhandari and N.A. Peters, "On Single Qubit Quantum Process Tomography for Trace-Preserving and Nontrace-Preserving Maps", arXiv:1502.01016 [quant-ph].

5. R. Bhandari and N.A. Peters, "On the General Constraints in Single Qubit Process Tomography", published in Scientific Reports, http://www.nature.com/articles/srep26004 (appeared earlier as

arXiv:1604.08113 [quant-ph]).

**Networks**

** **

1. R. Bhandari, “Survivable Networks: Algorithms for Diverse Routing”, Kluwer Academic Publishers (1999) – monograph.

2. R. Bhandari, “Survivable Networks: Algorithms for Diverse Routing”, an **invited**
**tutorial** based on the above book, presented and published in the Proc. of the Int’l Conference on Telecommunications, Cheju, Korea, pages
3-70, June 1999.

3. R. Bhandari**,** “Shortest Pair of
Physically-disjoint paths in Telecommunication Fiber Networks”, Proc. of the 6th International Network
Planning Symposium, Budapest, Hungary (1994), 125-130.

Also ** specially selected** by the above conference International Scientific Committee,

**translated**and published in the Hungarian scientific journal, Magyar Tzovolos, July 1996.

4. R. Bhandari, “Optimal diverse routing in telecommunication fiber networks”, Proc. of IEEE INFOCOM, Toronto, Canada (1994), 1498-1508.

5. R. Bhandari, “Physical Diversity versus Cost Algorithm for Networks”, Proc. of the Communications Network Modeling and Simulation Conference (The Society for Computer Simulation), San Diego, California, Jan. 14-17, 1996, Vol. 28, No.1, 258-264.

The above work was **translated into Hungarian**
and publshed in Hungarian scientific journal, Magyar Tvozlos, July 1997

The above work was **translated into Hungarian** and published in Hungarian Scientific Journal , Magyar Tvozlos,
March 1998.

** **

(also appeared in Proc. of the Fifth International Conference on Computer Communications and Networks, Rockville, Maryland (October 16-19, 1996)).

The above work has been **adopted** as an international standard by the International Telecommunication Union (ITU), Geneva; it
appears as a **new method** in ITU Recommendation E.524.

.

10. R. Bhandari,, “The Sliding Shortest Path Algorithms”, Proc. of the 8th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, Paris, France, June 2009.

11. R. Bhandari, "The Improved Sliding Shortest Path Algorithms”, Congressus Numerantium 203, (2010), pp.175-192 (a refereed journal of the 41st Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University, Boca Raton, Florida, March 8-12, 2010).

12. H. Carter and R. Bhandari, "Improved Sliding Shortest path Algorithm:Performance Analysis", Congressus Numerantium 207 (2011), pp.69-81 (a referred journal of the 42nd Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University, Boca Raton, Florida, March 7-11, 2011).

13. W. Weyerman, B. Durtschi, and R. Bhandari, "Constrained Rerouting in Networks: An Integer Programming Formulation", Congressus Numerantium 210 (2011), pp. 119-138 ( a refereed journal of the 42nd Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida, Atlantic University, Boca Raton, Florida, March 7-11, 2011).

14. R. Bhandari and D. Short, "A Constrained Minimum Cost s-t Cutset Problem", Congressus Numerantium 209 (2011), pp. 49-56 ( a refereed journal of the 42nd Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic Unversity, Boca Raton, Florida, March 7-11, 2011).

**Optics - Light Scattering**

** **

1. R. Bhandari “Scattering coefficients for a multilayered sphere: analytic expressions and algorithms”, Appl. Opt.24,1960 (1985).

Also appeared in ** Selected Papers on Light Scattering**, SPIE
(Society of Photo-industry Engineers) Milestone Series, Vol. 951 (1988) (a reprint collection of outstanding papers from the world literature on optical and optoelectronic science, engineering
and technology).

2. R. Bhandari, “Tests of the algorithm for the calculation of scattering by a multilayered sphere”, Proc. SPIE 540.512 (1985).

3. R. Bhandari , “Internal and near-scattered field of a spherical particle at resonant condition: comments”, Appl. Opt. 25,2464 (1986).

4. R. Bhandari, “Specific absorption of a tiny absorbing partical embedded within a nonabsorbing particle”, Appl. Opt. 25, 3331 (1986).

5. R. Bhandari, “Tiny core or thin shell as a perturbation in scattering by a single-layered sphere”, J. Opt. Soc. Am. A3, 319 (1986).

6. R. Bhandari and M. Kerker, “Monte-Carlo analysis of the internal structure of light scattering of particles with slit-scan illumination”, J. Stat. Phys., 52.1263 (1988).

**Elementary Particle Physics**

** **

1. R. Bhandari and Y.A. Chao, “πN S11 partial-wave amplitude near the ηN production threshold”, Phys. Rev. D15, 192 (1977).

2. R. Bhandari and L. Wolfenstein, “Forbidden decays ψ' to ψ + η and ψ' to ψ + π0 “, Phys. Rev. D17,1852 (1978).

** **

3. R. Bhandari, “Spin tests for charmed mesons produced in e+e- annihilation at sqrt(s)= 4.028 GeV”, Phys. Rev. D17, 2965 (1978).

4. R. Bhandari, R. A. Arndt, L.D. Roper, and B.J. Verwest , “The existence of dibaryons resonances in I=1 1D2 and 3F3 nucleon-nucleon scattering”, Phys. Rev. Lett. 46, 1111 (1981).

5. R. Bhandari, “Quasi-two-body phase space factors in the isobar model”, Phys. Rev. D25, 1261 (1982).

6. R. Bhandari, “3F3 nucleon-nucleon partial wave as a resonance plus a smoothly varying background”, Lett.Nuovo Cimento 34, 65(1982).

7. R. Bhandari, “K-matrix formulism and the quasi-two body phase-space factor in the isobar model”, Lett. Nuovo Cimento 35, 443 (1982).

8. R. Bhandari, “1D2 and 3F3 nucleon-nucleon poles in the M-matrix formalism”, Phys. Rev. D27, 292 (1983)

9. R. Bhandari, “The D function in a phenomenological N/D model”, Phys. Rev. 121B, 279 (1983).

10. R. Bhandari, “The 1D2 and the 3F3 nucleon-nucleon partial waves within the N/D formalism”, Lett. Nuovo Cimento 38, 251 (1983)

11. R. Bhandari, “The ωn cusp in the pion-nucleon elastic differential cross section”, Lett. Nuovo Cimento 36, 521 (1983).

12. M.R. Arafah, R. Bhandari, and B. Ram, “Quarkonium spectra with the linear plus Coulombic potential the Bethe-Salpeter equation”, Lett. Nuovo Cimento 38,305(1983).

**
**

**Special Relativity**

** **

1. *R. Bhandari**,** “Visual appearance of a moving vertical line”,
Am. J. Phys. 38, 2100 (1970).

2. R. Bhandari, "Visual appearance of a moving vertical line revisited”, Am. J. Phys. 46, 760 (1978).

**
Number Theory**

** **

1. *R. Bhandari**,** “A simple problem
on the frequency of repetition of integers”, The Mathematics Student , Vol. XXXIX, No. 2, 181 (1971).

_____________________

*****published as an undergraduate (Freshman)

**includes recent arxiv papers.