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Scattering from Different Geometries in the Presence of Topological Insulator and Metamaterials

Thesis Info

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Author

Shoukat, Sobia

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Applied Sciences

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/9012/1/13.%20Sobia%20Shoukat.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727135306

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Kobayashi potential is a semi-analytical method frequently used to solve scattering problems mainly related to geometries containing strip, grating, aperture, disk. Kobayashi potential method has been applied in this dissertation for solving scattering problems. According to Kobayashi potential method, longitudinal component of the unknown scattered field is assumed in terms of unknown weighting functions. Moreover, use of the relevant boundary conditions of discussed problems leads to the formation of algebraic equations and dual integral equations. Further, Integrands of the dual integral equations are expanded in terms of the characteristic functions with unknown expansion coefficients which must satisfy, simultaneously, the required edge and boundary conditions. The expressions derived from expansion of the integrands are combined with algebraic equations in order to express the unknown weighting function in terms of unknown expansion coefficients. The weighting functions, in terms of expansion coefficients, are then substituted in the dual integral equations. Moreover, the projection treatment is applied using properties of the Jacobi polynomials which yields matrix equation being solved numerically for unknown expansion coefficients. The far-zone field expressions have been derived using Saddle point method of integration. Finally, the scattered field has been calculated with aid of matrix equation. In this dissertation, scattering from a canonical object has been investigated by using Kobayashi potential method. Different geometries have been considered in this aspect. In the start of this dissertation, perfectly conducting strip has been placed inside of unbounded topological insulator medium. Additionally, an impedance strip has been taken as canonical object surrounded with topological insulator medium. Furthermore, a planar interface of topological insulator and chiral medium has been examined with presence of perfectly conducting strip. Finally, another planar interface with different non-integer dimensional dielectric media has been observed. These different geometries have been worked out analytically by using Kobayashi potential method. The geometries have been ex- 6 cited by plane wave. The numerical results have been plotted by applying Matlab software and subsequent discussion has also been made in this regard. Different parameters have been considered as special parameters for different geometries namely topological, impedance, chirality, non-integer dimensional parameters. In the end of the dissertation, conclusions along with directions for future researchers have been discussed.
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بھٹو کا ایٹمی پروگرام اور ہینری کسینجر کی دھمکی

 

بھٹو کا ایٹمی پروگرام اور ھینری کیسنجر کی دھمکی

اگست1976ء میں امیریکن وزیر خارجہ ڈاکٹر ھینری کیسنجر بھٹو صاحب کو ایٹمی پروگرام ختم کرانے کے لیے پاکستان آئے اور بھٹو صاحب کو بہت سمجھایا کہ ایٹمی پروگرام سے دست بردار ہو جائو ورنہ نقصان میں جائو گے جس پر بھٹو صاحب نے کیسنجر سے کہا سکندر یو نانی جسے آپ الیگزینڈر دی گریٹ کہتے ہیں وہ دنیا فتح کر نے نکلا تھا لیکن جب وہ سر زمین سندھ میں داخل ہوا تو یہاں کے مکینوں نے اسے کامیاب نہیں ہو نے د یا ۔آخر کار وہ بیمار ہوا اور مایوس ہو کر لو ٹ گیا ۔

ذواالفقار علی بھٹو کی پھانسی کا فیصلہ تو دس اگست 1976ء کو ہی کر لیا گیا تھا ۔جب امریکی وزیر خارجہ ڈاکٹر ہینری کسنجر اپنی بیوی کے ساتھ پاکستان آ یا تھا جس کے اعزاز میں اس وقت کے پنجاب کے گورنر نواب صادق قریشی نے شاہی قلعہ لاہور میں تیس مخصوص آدمیوں پر مشتمل دعوت کا اہتمام کیا تھا ۔فریدہ خانم غزل گوئی میں مشغول تھیں کہ کیسنجر نے بھٹو صاحب کو بولا ۔

"Mr,Bhutto,we will run rail road engie over you"

جس پر بھٹو صاحب نے قہقہہ لگا کر جواب دیا ۔

"When the time will come,we wil see to that also"

وہ رات بھٹو صاحب کے لیے اہم تھی ۔محفل کے ختم ہونے کے بعد ڈنر سے پہلے بھٹو صاحب نے تقریب سے خطاب کیا ۔

 

منهج الشيخ أبي الحسن السندي الكبير في تنقيح المصطلحات الأصولية والفقهية واهتمامه بالمباحث اللغوية في تعليقاته علي صحيح البخاري

The present paper is the study of the methodology which Shaykh Abu al-Ḥasan Muḥammad b. ʿAbd al-Hādī al-Sindī al-Kabīr (d.1139 AH) adopted in writing a concise commentary on most authentic book of Ḥadīth, Saḥīḥ al-Bukharī. His life and works have been studied and analyzed elsewhere. (See. Al-Azwa, Sheikh Zayed Islamic Centre, University of Punjab, June, 2012, pp. 327-44). This study delving in his Commentary brings to the fore the depth and breadth of his scholarship in various branches of Islamic sciences including usūl, fiqh and Arabic eloquence. It further shows how skillfully he applied his knowledge of these sciences in elaboration of the most authentic Ḥadīth work meticulously compiled by Muḥammad b. Ismaʿīl al-Bukharī (194-265 AH). The study concludes that his methodology in elaborating terminology of usūl, fiqh and Arabic eloquence is one of the best works of its kind. Hence, commentary may well be considered as one of the significant sources for the study of Saḥīḥ al-Bukharī.

Scope of Electric Power Generation by Solar Radiations in Pakistan

Pakistan is an energy deficient country, where a large fraction of the population still does not have access to modern day energy services such as electricity. This is due to very limited fossil fuel resources and poor economy, which restrains the import of fossil fuels on a large scale. To overcome energy shortage, Pakistan needs to develop its indigenous energy resources like hydropower, solar and wind. Pakistan lies in an area of one of the highest solar insulation in the world. This vast potential can be exploited to produce electricity, which could be provided to off-grid communities in the northern hilly areas and the southern and western deserts. Applications other than electricity production such as solar water heaters and solar cookers have also vast applications. All this will help in both reducing the import of fossil fuels and dependency of people on fuel wood, which in turn will provide some respite for the dwindling forest reserves of Pakistan. Accordingly, the status and outlook of solar energy use in Pakistan is discussed. In addition, the role of Rand D organizations in the promotion of solar energy technologies in Pakistan is also presented including a description of some proposed projects. It is concluded that the current infrastructure has not been able to advance the status of solar energy in Pakistan. Significant efforts are needed to effectively utilize this cheap renewable energy source. Solar power is a term that refers to several alternative sources of energy by which sun-light is harnessed to do useful work for mankind. People know that it is energy since the same alone implies this but man people think it is expensive and not a preferred method of producing energy. We need to find out how cost effective it is how useful solar power technologies involves the use of photovoltaic cells. Which is true to their name (Photo-light, Voltaic-electricity), converts sunlight directly when light strikes the photovoltaic cell. When the energy breaks the bound between electrons and the semiconductor atoms this allows the electrons to flow freely. Photovoltaic cells can have one or many electric fields that force electrons to glow in a certain direction. The glow on electrons is called current and by placing metal contacts on top and bottom of the photovoltaic cell, we can then use that current externally. “HOW SOLAR CELL WORK” it is the development of photovoltaic cell started by Becquerels discovery in 1839. The system and devices are developed during this work will prevent CO2, CO, NO and SO2 from entering the atmosphere and there by keeping the atmosphere clean from poisonous affects of these gases and harmful. In the absence of Carbon Dioxide in the solar energy usage is helpful in eliminating green house effect. The main and important point of solar electricity is that it is free from pollution.